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Parámetros onda fundamental Amplitud [A] 1000 Freq. Lineal[Hz] 60 Freq. Ang[Rad/s] 376.991 Desfase[Rad] 0.2617993877992 t(ms) t(s) Ángulo [Rad] Ángulo [Gra.] Onda fundamen. 0 0 0 0 965.92582628907 1 0.001 0.37699111843 21.6 993.3727656004 2 0.002 0.75398223686 43.2 881.30345206499 3 0.003 1.13097335529 64.8 645.45768772395 4 0.004 1.50796447372 86.4 318.95930929807 5 0.005 1.88495559215 108 -52.33595624294 6 0.006 2.26194671058 129.6 -416.2807922604 7 0.007 2.63893782902 151.2 -721.7602280984 8 0.008 3.01592894745 172.8 -925.87058481 9 0.009 3.39292006588 194.4 -999.9451693655 10 0.01 3.76991118431 216 -933.5804264972 11 0.011 4.14690230274 237.6 -736.0970871197 12 0.012 4.52389342117 259.2 -435.2310993723 13 0.013 4.9008845396 280.8 -73.23819712763 14 0.014 5.27787565803 302.4 299.04079225609 15 0.015 5.65486677646 324 629.32039104984 16 0.016 6.03185789489 345.6 871.21381112019 17 0.017 6.40884901332 367.2 990.74784047144 18 0.018 6.78584013175 388.8 971.13427990964 19 0.019 7.16283125018 410.4 815.12779572856 20 0.02 7.53982236862 432 544.63903501503 21 0.021 7.91681348705 453.6 197.65734037913 22 0.022 8.29380460548 475.2 -177.0847403196 23 0.023 8.67079572391 496.8 -526.9557954967 24 0.024 9.04778684234 518.4 -802.8174751911 25 0.025 9.42477796077 540 -965.9258262891 26 0.026 9.8017690792 561.6 -993.3727656004 27 0.027 10.1787601976 583.2 -881.303452065 =1000cos(ω −15°) 0 500 1000 1500 Chart Title

TAREA 3-Muestro de señales eléctricas para relés numéricos

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En este documento se emplea el método de los 4 puntos para hacer el muestreo de señales eléctricas para poder ser procesadas por relés numéricos, en este caso un señal de voltaje

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Page 1: TAREA 3-Muestro de señales eléctricas para relés numéricos

Parámetros onda fundamentalAmplitud [A] 1000Freq. Lineal[Hz] 60Freq. Ang[Rad/s] 376.991Desfase[Rad] 0.2617993877991

t(ms) t(s) Ángulo [Rad] Ángulo [Gra.] Onda fundamen. Comp. DC0 0 0 0 965.92582628907 8001 0.001 0.37699111843 21.6 993.3727656004 780.247932 0.002 0.75398223686 43.2 881.30345206499 760.983543 0.003 1.13097335529 64.8 645.45768772395 742.1947894 0.004 1.50796447372 86.4 318.95930929807 723.8699345 0.005 1.88495559215 108 -52.335956242944 705.9975226 0.006 2.26194671058 129.6 -416.2807922604 688.5663817 0.007 2.63893782902 151.2 -721.76022809836 671.5656178 0.008 3.01592894745 172.8 -925.87058480999 654.9846029 0.009 3.39292006588 194.4 -999.94516936551 638.812975

10 0.01 3.76991118431 216 -933.5804264972 623.04062611 0.011 4.14690230274 237.6 -736.09708711973 607.65769912 0.012 4.52389342117 259.2 -435.23109937233 592.65457713 0.013 4.9008845396 280.8 -73.238197127632 578.02188314 0.014 5.27787565803 302.4 299.04079225609 563.75047215 0.015 5.65486677646 324 629.32039104984 549.83142316 0.016 6.03185789489 345.6 871.21381112019 536.25603717 0.017 6.40884901332 367.2 990.74784047144 523.01582818 0.018 6.78584013175 388.8 971.13427990964 510.10252119 0.019 7.16283125018 410.4 815.12779572855 497.50804520 0.02 7.53982236862 432 544.63903501503 485.22452821 0.021 7.91681348705 453.6 197.65734037913 473.24429122 0.022 8.29380460548 475.2 -177.08474031958 461.55984823 0.023 8.67079572391 496.8 -526.95579549668 450.16389524 0.024 9.04778684234 518.4 -802.81747519111 439.04930925 0.025 9.42477796077 540 -965.92582628907 428.20914326 0.026 9.8017690792 561.6 -993.3727656004 417.63662127 0.027 10.1787601976 583.2 -881.30345206499 407.325136

𝐼=1000cos(ω𝑡−15°)

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Page 2: TAREA 3-Muestro de señales eléctricas para relés numéricos

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Page 3: TAREA 3-Muestro de señales eléctricas para relés numéricos

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Page 4: TAREA 3-Muestro de señales eléctricas para relés numéricos

Y X V_picoParámetros Expo. Decre 902.0118575 -288.92887300965 947.15642041446

Amplitud 800T[s] 0.041/T -25

2do armónico 3er armónico 4to armónico 5to armónico Fund. + Comp. DC 48.296291314 193.18516526 19.318516526 67.61480784 1765.925826289144.065172603 129.09153754 6.379186186 -3.663516937 1773.620695223115.947965465 -83.256158452 -18.5174117 -65.35062985 1642.2869916656-20.814039613 -199.98903387 -8.704621987 44.052427373 1387.6524767868 Muestra k-46.29352924 -87.046219874 17.424276222 38.124732451 1042.8292437268

-46.679021325 125.86407821 10.8927807 -67.61480784 653.66156582473-21.761554969 194.22685598 -16.0563495 3.663516937 272.2855888796514.952039613 39.531468076 -12.90915375 65.350629855 -50.194611482996 Muestra k+143.560690556 -160.56349504 14.435204562 -44.05242737 -270.8859823476148.556713995 -176.26069041 14.721941742 -38.12473245 -361.1321943580127.231951751 10.467191249 -12.58640782 67.61480784 -310.53980004008-8.854237016 185.17411696 -16.30255591 -3.663516937 -128.43938853976 Muestra k+2-40.14087376 147.21941742 10.53911591 -65.35062985 157.42347717305-49.66863828 -59.808158451 17.626069041 44.052427373 504.78368578603

-32.272884386 -198.14956809 -8.325615845 38.124732451 862.791264031062.6167978121 -108.927807 -18.67160853 -67.61480784 1179.1518140826 Muestra k+336.088011405 105.3911591 5.9808158451 3.663516937 1407.469847948749.997258468 198.67455312 19.422685598 65.350629855 1513.763668575336.804854356 63.79186186 -3.541694806 -44.05242737 1481.23680120713.6619098564 -144.35204562 -19.86745531 -38.12473245 1312.6358409006 Muestra k+4-31.466019552 -186.7160853 1.0467191249 67.61480784 1029.8635627851-49.537392024 -14.647639426 19.998903387 -3.663516937 670.90163187258-40.756389786 174.24276222 1.4647639426 -65.35062985 284.47510798481-9.882867019 163.02555915 -19.81495681 44.052427373 -76.79190045111226.347789775 -35.416948064 -3.953146808 38.124732451 -363.7681663158948.296291314 -193.18516526 19.318516526 -67.61480784 -537.7166834738844.065172603 -129.09153754 6.379186186 3.663516937 -575.7361441915815.947965465 83.256158452 -18.5174117 65.350629855 -473.97831557895

𝐴=800e^(−25t)

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Page 5: TAREA 3-Muestro de señales eléctricas para relés numéricos

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Page 7: TAREA 3-Muestro de señales eléctricas para relés numéricos

ÁNG.[Rad] 45 ANG.FINAL ANG.GRADOS-1.2608067181397 0.7853981633974 -0.475408554742268 -27.2389037311461

Fund. + Comp. DC +Armo. Pares RECONSTRUIDA Recons. Invertida1833.5406341293 433.515135764438 -433.5151357644381824.0650540123 713.078062184745 -713.0780621847451639.7175454343 892.491293879835 -892.4912938798351358.1338151863 Muestra k 946.556775634158 -946.5567756341581013.9599907087 867.681171205848 -867.681171205848617.87532520017 666.942324836193 -666.942324836193234.46768440721 372.533410946824 -372.533410946824-48.151725624671 Muestra k+1 25.8032865760118 -25.8032865760118-212.89008722963 -324.550832712801 324.550832712801-297.85353862013 -629.322752039639 629.322752039639-295.89425611032 -845.708161049078 845.708161049078-153.59618147031 Muestra k+2 -943.316372094815 943.316372094815127.82171932342 -908.438602005264 908.438602005264472.74111654731 -745.973329940566 745.973329940566822.19276379965 -478.738320551729 478.7383205517291163.0970033648 Muestra k+3 -144.265936744694 144.2659367446941449.5386751987 210.468169152013 -210.4681691520131583.1836126418 535.64264615568 -535.642646155681514.4999607567 785.58770531701 -785.587705317011296.4302954449 Muestra k+4 925.19930585765 -925.19930585765999.4442623575 934.869413376141 -934.869413376141

641.36314323632 813.239890008909 -813.239890008909245.18348214093 577.393240857122 -577.393240857122-106.4897242795 260.453426910618 -260.453426910618

-341.37352334864 -93.0662968361092 93.0662968361092-470.10187563364 -433.515135764437 433.515135764437-525.29178540237 -713.078062184745 713.078062184745-476.54776181025 -892.491293879835 892.491293879835

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𝑅𝑒𝑐𝑜𝑛𝑠𝑡𝑟𝑢𝑖𝑑𝑎=483.8cos(377t+91,2°)

Page 8: TAREA 3-Muestro de señales eléctricas para relés numéricos

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Page 9: TAREA 3-Muestro de señales eléctricas para relés numéricos

0123 x4567 x89

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Page 15: TAREA 3-Muestro de señales eléctricas para relés numéricos

Parámetros onda fundamental Parámetros Expo. DecreAmplitud [A] 1000 AmplitudFreq. Lineal[Hz] 60 T[s]Freq. Ang[Rad/s] 376.991 1/TDesfase[Rad] 0.2617993878

GRADOS RADIANES TIEMPO [s] Tiempo[ms] Onda funda. Comp. DC 2do Armón.0 0 0 0 965.9258263 800 48.29629131 0.0174532925 4.62963E-05 0.0462963 970.2957263 799.07461 48.71850322 0.034906585 9.25926E-05 0.09259259 974.3700648 798.15029 49.08135923 0.0523598776 0.00013889 0.13888889 978.1476007 797.227039 49.3844174 0.0698131701 0.00018519 0.18518519 981.6271834 796.304856 49.62730765 0.0872664626 0.00023148 0.23148148 984.807753 795.38374 49.80973496 0.1047197551 0.00027778 0.27777778 987.6883406 794.46369 49.93147677 0.1221730476 0.00032407 0.32407407 990.2680687 793.544704 49.99238488 0.1396263402 0.00037037 0.37037037 992.5461516 792.626781 49.99238489 0.1570796327 0.00041667 0.41666667 994.5218954 791.709919 49.9314767

10 0.1745329252 0.00046296 0.46296296 996.1946981 790.794118 49.809734911 0.1919862177 0.00050926 0.50925926 997.5640503 789.879377 49.627307612 0.2094395102 0.00055556 0.55555556 998.6295348 788.965693 49.38441713 0.2268928028 0.00060185 0.60185185 999.390827 788.053067 49.081359214 0.2443460953 0.00064815 0.64814815 999.8476952 787.141496 48.718503215 0.2617993878 0.00069444 0.69444444 1000 786.23098 48.296291316 0.2792526803 0.00074074 0.74074074 999.8476952 785.321517 47.815237817 0.2967059728 0.00078704 0.78703704 999.390827 784.413105 47.275928818 0.3141592654 0.00083333 0.83333333 998.6295348 783.505745 46.679021319 0.3316125579 0.00087963 0.87962963 997.5640503 782.599434 46.025242720 0.3490658504 0.00092593 0.92592593 996.1946981 781.694172 45.315389421 0.3665191429 0.00097222 0.97222222 994.5218954 780.789957 44.550326222 0.3839724354 0.00101852 1.01851852 992.5461516 779.886787 43.730985423 0.401425728 0.00106481 1.06481481 990.2680687 778.984663 42.85836524 0.4188790205 0.00111111 1.11111111 987.6883406 778.083582 41.933528425 0.436332313 0.00115741 1.15740741 984.807753 777.183543 40.957602226 0.4537856055 0.0012037 1.2037037 981.6271834 776.284545 39.931775527 0.471238898 0.00125 1.25 978.1476007 775.386588 38.857298128 0.4886921906 0.0012963 1.2962963 974.3700648 774.489669 37.73547929 0.5061454831 0.00134259 1.34259259 970.2957263 773.593787 36.567685130 0.5235987756 0.00138889 1.38888889 965.9258263 772.698942 35.355339131 0.5410520681 0.00143519 1.43518519 961.2616959 771.805132 34.09991832 0.5585053606 0.00148148 1.48148148 956.304756 770.912355 32.802951433 0.5759586532 0.00152778 1.52777778 951.0565163 770.020612 31.466019634 0.5934119457 0.00157407 1.57407407 945.5185756 769.1299 30.090751235 0.6108652382 0.00162037 1.62037037 939.6926208 768.240218 28.678821836 0.6283185307 0.00166667 1.66666667 933.5804265 767.351566 27.2319518

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37 0.6457718232 0.00171296 1.71296296 927.1838546 766.463941 25.751903738 0.6632251158 0.00175926 1.75925926 920.5048535 765.577343 24.24048139 0.6806784083 0.00180556 1.80555556 913.5454576 764.691771 22.69952540 0.6981317008 0.00185185 1.85185185 906.307787 763.807223 21.130913141 0.7155849933 0.00189815 1.89814815 898.7940463 762.923698 19.536556442 0.7330382858 0.00194444 1.94444444 891.0065242 762.041195 17.918397543 0.7504915784 0.00199074 1.99074074 882.9475929 761.159714 16.278407744 0.7679448709 0.00203704 2.03703704 874.6197071 760.279251 14.618585245 0.7853981634 0.00208333 2.08333333 866.0254038 759.399808 12.940952346 0.8028514559 0.00212963 2.12962963 857.1673007 758.521381 11.247552747 0.8203047484 0.00217593 2.17592593 848.0480962 757.643971 9.5404497748 0.837758041 0.00222222 2.22222222 838.6705679 756.767575 7.8217232549 0.8552113335 0.00226852 2.26851852 829.0375726 755.892193 6.0934671750 0.872664626 0.00231481 2.31481481 819.1520443 755.017824 4.3577871451 0.8901179185 0.00236111 2.36111111 809.0169944 754.144467 2.6167978152 0.907571211 0.00240741 2.40740741 798.63551 753.272119 0.8726203253 0.9250245036 0.0024537 2.4537037 788.0107536 752.400781 -0.8726203254 0.9424777961 0.0025 2.5 777.1459615 751.53045 -2.6167978155 0.9599310886 0.0025463 2.5462963 766.0444431 750.661127 -4.3577871456 0.9773843811 0.00259259 2.59259259 754.7095802 749.792808 -6.0934671757 0.9948376736 0.00263889 2.63888889 743.1448255 748.925495 -7.8217232558 1.0122909662 0.00268519 2.68518519 731.3537016 748.059184 -9.5404497759 1.0297442587 0.00273148 2.73148148 719.3398003 747.193876 -11.247552760 1.0471975512 0.00277778 2.77777778 707.1067812 746.329568 -12.940952361 1.0646508437 0.00282407 2.82407407 694.6583705 745.466261 -14.618585262 1.0821041362 0.00287037 2.87037037 681.9983601 744.603952 -16.278407763 1.0995574288 0.00291667 2.91666667 669.1306064 743.74264 -17.918397564 1.1170107213 0.00296296 2.96296296 656.059029 742.882325 -19.536556465 1.1344640138 0.00300926 3.00925926 642.7876097 742.023005 -21.130913166 1.1519173063 0.00305556 3.05555556 629.320391 741.164678 -22.69952567 1.1693705988 0.00310185 3.10185185 615.6614753 740.307345 -24.24048168 1.1868238914 0.00314815 3.14814815 601.8150232 739.451004 -25.751903769 1.2042771839 0.00319444 3.19444444 587.7852523 738.595653 -27.231951870 1.2217304764 0.00324074 3.24074074 573.5764364 737.741291 -28.678821871 1.2391837689 0.00328704 3.28703704 559.1929035 736.887918 -30.090751272 1.2566370614 0.00333333 3.33333333 544.639035 736.035532 -31.466019673 1.274090354 0.00337963 3.37962963 529.9192642 735.184132 -32.802951474 1.2915436465 0.00342593 3.42592593 515.0380749 734.333716 -34.09991875 1.308996939 0.00347222 3.47222222 500 733.484285 -35.355339176 1.3264502315 0.00351852 3.51851852 484.8096202 732.635836 -36.567685177 1.343903524 0.00356481 3.56481481 469.4715628 731.788368 -37.73547978 1.3613568166 0.00361111 3.61111111 453.9904997 730.941881 -38.857298179 1.3788101091 0.00365741 3.65740741 438.3711468 730.096372 -39.931775580 1.3962634016 0.0037037 3.7037037 422.6182617 729.251842 -40.957602281 1.4137166941 0.00375 3.75 406.7366431 728.408289 -41.933528482 1.4311699866 0.0037963 3.7962963 390.7311285 727.565712 -42.85836583 1.4486232792 0.00384259 3.84259259 374.6065934 726.724109 -43.730985484 1.4660765717 0.00388889 3.88888889 358.3679495 725.88348 -44.5503262

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85 1.4835298642 0.00393519 3.93518519 342.0201433 725.043823 -45.315389486 1.5009831567 0.00398148 3.98148148 325.5681545 724.205137 -46.025242787 1.5184364492 0.00402778 4.02777778 309.0169944 723.367421 -46.679021388 1.5358897418 0.00407407 4.07407407 292.3717047 722.530675 -47.275928889 1.5533430343 0.00412037 4.12037037 275.6373558 721.694896 -47.815237890 1.5707963268 0.00416667 4.16666667 258.8190451 720.860085 -48.296291391 1.5882496193 0.00421296 4.21296296 241.9218956 720.026238 -48.718503292 1.6057029118 0.00425926 4.25925926 224.9510543 719.193357 -49.081359293 1.6231562044 0.00430556 4.30555556 207.9116908 718.361439 -49.38441794 1.6406094969 0.00435185 4.35185185 190.8089954 717.530483 -49.627307695 1.6580627894 0.00439815 4.39814815 173.6481777 716.700488 -49.809734996 1.6755160819 0.00444444 4.44444444 156.434465 715.871453 -49.931476797 1.6929693744 0.00449074 4.49074074 139.173101 715.043378 -49.992384898 1.710422667 0.00453704 4.53703704 121.8693434 714.21626 -49.992384899 1.7278759595 0.00458333 4.58333333 104.5284633 713.390099 -49.9314767

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133 2.3212879052 0.00615741 6.15740741 -469.471563 685.862069 -16.2784077134 2.3387411977 0.0062037 6.2037037 -484.80962 685.068707 -14.6185852135 2.3561944902 0.00625 6.25 -500 684.276262 -12.9409523136 2.3736477827 0.0062963 6.2962963 -515.038075 683.484734 -11.2475527137 2.3911010752 0.00634259 6.34259259 -529.919264 682.694121 -9.54044977138 2.4085543678 0.00638889 6.38888889 -544.639035 681.904423 -7.82172325139 2.4260076603 0.00643519 6.43518519 -559.192903 681.115638 -6.09346717140 2.4434609528 0.00648148 6.48148148 -573.576436 680.327766 -4.35778714141 2.4609142453 0.00652778 6.52777778 -587.785252 679.540805 -2.61679781142 2.4783675378 0.00657407 6.57407407 -601.815023 678.754754 -0.87262032143 2.4958208304 0.00662037 6.62037037 -615.661475 677.969613 0.87262032144 2.5132741229 0.00666667 6.66666667 -629.320391 677.18538 2.61679781145 2.5307274154 0.00671296 6.71296296 -642.78761 676.402054 4.35778714146 2.5481807079 0.00675926 6.75925926 -656.059029 675.619634 6.09346717147 2.5656340004 0.00680556 6.80555556 -669.130606 674.838119 7.82172325148 2.583087293 0.00685185 6.85185185 -681.99836 674.057508 9.54044977149 2.6005405855 0.00689815 6.89814815 -694.65837 673.277801 11.2475527150 2.617993878 0.00694444 6.94444444 -707.106781 672.498995 12.9409523151 2.6354471705 0.00699074 6.99074074 -719.3398 671.72109 14.6185852152 2.652900463 0.00703704 7.03703704 -731.353702 670.944084 16.2784077153 2.6703537556 0.00708333 7.08333333 -743.144825 670.167978 17.9183975154 2.6878070481 0.00712963 7.12962963 -754.70958 669.392769 19.5365564155 2.7052603406 0.00717593 7.17592593 -766.044443 668.618457 21.1309131156 2.7227136331 0.00722222 7.22222222 -777.145961 667.845041 22.699525157 2.7401669256 0.00726852 7.26851852 -788.010754 667.072519 24.240481158 2.7576202182 0.00731481 7.31481481 -798.63551 666.300891 25.7519037159 2.7750735107 0.00736111 7.36111111 -809.016994 665.530156 27.2319518160 2.7925268032 0.00740741 7.40740741 -819.152044 664.760312 28.6788218161 2.8099800957 0.0074537 7.4537037 -829.037573 663.991358 30.0907512162 2.8274333882 0.0075 7.5 -838.670568 663.223295 31.4660196163 2.8448866808 0.0075463 7.5462963 -848.048096 662.456119 32.8029514164 2.8623399733 0.00759259 7.59259259 -857.167301 661.689831 34.099918165 2.8797932658 0.00763889 7.63888889 -866.025404 660.924429 35.3553391166 2.8972465583 0.00768519 7.68518519 -874.619707 660.159913 36.5676851167 2.9146998508 0.00773148 7.73148148 -882.947593 659.396281 37.735479168 2.9321531434 0.00777778 7.77777778 -891.006524 658.633532 38.8572981169 2.9496064359 0.00782407 7.82407407 -898.794046 657.871666 39.9317755170 2.9670597284 0.00787037 7.87037037 -906.307787 657.110681 40.9576022171 2.9845130209 0.00791667 7.91666667 -913.545458 656.350576 41.9335284172 3.0019663134 0.00796296 7.96296296 -920.504853 655.591351 42.858365173 3.019419606 0.00800926 8.00925926 -927.183855 654.833003 43.7309854174 3.0368728985 0.00805556 8.05555556 -933.580426 654.075533 44.5503262175 3.054326191 0.00810185 8.10185185 -939.692621 653.318939 45.3153894176 3.0717794835 0.00814815 8.14814815 -945.518576 652.56322 46.0252427177 3.089232776 0.00819444 8.19444444 -951.056516 651.808376 46.6790213178 3.1066860685 0.00824074 8.24074074 -956.304756 651.054404 47.2759288179 3.1241393611 0.00828704 8.28703704 -961.261696 650.301305 47.8152378180 3.1415926536 0.00833333 8.33333333 -965.925826 649.549077 48.2962913

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229 3.9968039871 0.01060185 10.6018519 -829.037573 613.736346 6.09346717230 4.0142572796 0.01064815 10.6481481 -819.152044 613.026414 4.35778714231 4.0317105721 0.01069444 10.6944444 -809.016994 612.317303 2.61679781232 4.0491638646 0.01074074 10.7407407 -798.63551 611.609012 0.87262032233 4.0666171571 0.01078704 10.787037 -788.010754 610.901541 -0.87262032234 4.0840704497 0.01083333 10.8333333 -777.145961 610.194888 -2.61679781235 4.1015237422 0.01087963 10.8796296 -766.044443 609.489052 -4.35778714236 4.1189770347 0.01092593 10.9259259 -754.70958 608.784033 -6.09346717237 4.1364303272 0.01097222 10.9722222 -743.144825 608.07983 -7.82172325238 4.1538836197 0.01101852 11.0185185 -731.353702 607.376441 -9.54044977239 4.1713369123 0.01106481 11.0648148 -719.3398 606.673865 -11.2475527240 4.1887902048 0.01111111 11.1111111 -707.106781 605.972103 -12.9409523241 4.2062434973 0.01115741 11.1574074 -694.65837 605.271152 -14.6185852242 4.2236967898 0.0112037 11.2037037 -681.99836 604.571012 -16.2784077243 4.2411500823 0.01125 11.25 -669.130606 603.871682 -17.9183975244 4.2586033749 0.0112963 11.2962963 -656.059029 603.17316 -19.5365564245 4.2760566674 0.01134259 11.3425926 -642.78761 602.475447 -21.1309131246 4.2935099599 0.01138889 11.3888889 -629.320391 601.778541 -22.699525247 4.3109632524 0.01143519 11.4351852 -615.661475 601.082441 -24.240481248 4.3284165449 0.01148148 11.4814815 -601.815023 600.387146 -25.7519037249 4.3458698375 0.01152778 11.5277778 -587.785252 599.692656 -27.2319518250 4.36332313 0.01157407 11.5740741 -573.576436 598.998968 -28.6788218251 4.3807764225 0.01162037 11.6203704 -559.192903 598.306084 -30.0907512252 4.398229715 0.01166667 11.6666667 -544.639035 597.614 -31.4660196253 4.4156830075 0.01171296 11.712963 -529.919264 596.922718 -32.8029514254 4.4331363001 0.01175926 11.7592593 -515.038075 596.232234 -34.099918255 4.4505895926 0.01180556 11.8055556 -500 595.54255 -35.3553391256 4.4680428851 0.01185185 11.8518519 -484.80962 594.853663 -36.5676851257 4.4854961776 0.01189815 11.8981481 -469.471563 594.165574 -37.735479258 4.5029494701 0.01194444 11.9444444 -453.9905 593.47828 -38.8572981259 4.5204027627 0.01199074 11.9907407 -438.371147 592.791781 -39.9317755260 4.5378560552 0.01203704 12.037037 -422.618262 592.106076 -40.9576022261 4.5553093477 0.01208333 12.0833333 -406.736643 591.421165 -41.9335284262 4.5727626402 0.01212963 12.1296296 -390.731128 590.737046 -42.858365263 4.5902159327 0.01217593 12.1759259 -374.606593 590.053718 -43.7309854264 4.6076692253 0.01222222 12.2222222 -358.36795 589.37118 -44.5503262265 4.6251225178 0.01226852 12.2685185 -342.020143 588.689432 -45.3153894266 4.6425758103 0.01231481 12.3148148 -325.568154 588.008473 -46.0252427267 4.6600291028 0.01236111 12.3611111 -309.016994 587.328301 -46.6790213268 4.6774823953 0.01240741 12.4074074 -292.371705 586.648916 -47.2759288269 4.6949356879 0.0124537 12.4537037 -275.637356 585.970317 -47.8152378270 4.7123889804 0.0125 12.5 -258.819045 585.292503 -48.2962913271 4.7298422729 0.0125463 12.5462963 -241.921896 584.615473 -48.7185032272 4.7472955654 0.01259259 12.5925926 -224.951054 583.939226 -49.0813592273 4.7647488579 0.01263889 12.6388889 -207.911691 583.263762 -49.384417274 4.7822021505 0.01268519 12.6851852 -190.808995 582.589078 -49.6273076275 4.799655443 0.01273148 12.7314815 -173.648178 581.915176 -49.8097349276 4.8171087355 0.01277778 12.7777778 -156.434465 581.242052 -49.9314767

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277 4.834562028 0.01282407 12.8240741 -139.173101 580.569708 -49.9923848278 4.8520153205 0.01287037 12.8703704 -121.869343 579.898141 -49.9923848279 4.8694686131 0.01291667 12.9166667 -104.528463 579.22735 -49.9314767280 4.8869219056 0.01296296 12.962963 -87.1557427 578.557336 -49.8097349281 4.9043751981 0.01300926 13.0092593 -69.7564737 577.888097 -49.6273076282 4.9218284906 0.01305556 13.0555556 -52.3359562 577.219632 -49.384417283 4.9392817831 0.01310185 13.1018519 -34.8994967 576.55194 -49.0813592284 4.9567350757 0.01314815 13.1481481 -17.4524064 575.885021 -48.7185032285 4.9741883682 0.01319444 13.1944444 -1.83697E-13 575.218873 -48.2962913286 4.9916416607 0.01324074 13.2407407 17.45240644 574.553495 -47.8152378287 5.0090949532 0.01328704 13.287037 34.8994967 573.888887 -47.2759288288 5.0265482457 0.01333333 13.3333333 52.33595624 573.225048 -46.6790213289 5.0440015383 0.01337963 13.3796296 69.75647374 572.561977 -46.0252427290 5.0614548308 0.01342593 13.4259259 87.15574275 571.899673 -45.3153894291 5.0789081233 0.01347222 13.4722222 104.5284633 571.238135 -44.5503262292 5.0963614158 0.01351852 13.5185185 121.8693434 570.577362 -43.7309854293 5.1138147083 0.01356481 13.5648148 139.173101 569.917354 -42.858365294 5.1312680009 0.01361111 13.6111111 156.434465 569.258109 -41.9335284295 5.1487212934 0.01365741 13.6574074 173.6481777 568.599627 -40.9576022296 5.1661745859 0.0137037 13.7037037 190.8089954 567.941906 -39.9317755297 5.1836278784 0.01375 13.75 207.9116908 567.284946 -38.8572981298 5.2010811709 0.0137963 13.7962963 224.9510543 566.628746 -37.735479299 5.2185344635 0.01384259 13.8425926 241.9218956 565.973305 -36.5676851300 5.235987756 0.01388889 13.8888889 258.8190451 565.318622 -35.3553391301 5.2534410485 0.01393519 13.9351852 275.6373558 564.664697 -34.099918302 5.270894341 0.01398148 13.9814815 292.3717047 564.011528 -32.8029514303 5.2883476335 0.01402778 14.0277778 309.0169944 563.359114 -31.4660196304 5.3058009261 0.01407407 14.0740741 325.5681545 562.707455 -30.0907512305 5.3232542186 0.01412037 14.1203704 342.0201433 562.05655 -28.6788218306 5.3407075111 0.01416667 14.1666667 358.3679495 561.406398 -27.2319518307 5.3581608036 0.01421296 14.212963 374.6065934 560.756998 -25.7519037308 5.3756140961 0.01425926 14.2592593 390.7311285 560.108349 -24.240481309 5.3930673887 0.01430556 14.3055556 406.7366431 559.460451 -22.699525310 5.4105206812 0.01435185 14.3518519 422.6182617 558.813302 -21.1309131311 5.4279739737 0.01439815 14.3981481 438.3711468 558.166901 -19.5365564312 5.4454272662 0.01444444 14.4444444 453.9904997 557.521249 -17.9183975313 5.4628805587 0.01449074 14.4907407 469.4715628 556.876343 -16.2784077314 5.4803338513 0.01453704 14.537037 484.8096202 556.232183 -14.6185852315 5.4977871438 0.01458333 14.5833333 500 555.588768 -12.9409523316 5.5152404363 0.01462963 14.6296296 515.0380749 554.946097 -11.2475527317 5.5326937288 0.01467593 14.6759259 529.9192642 554.30417 -9.54044977318 5.5501470213 0.01472222 14.7222222 544.639035 553.662985 -7.82172325319 5.5676003139 0.01476852 14.7685185 559.1929035 553.022542 -6.09346717320 5.5850536064 0.01481481 14.8148148 573.5764364 552.38284 -4.35778714321 5.6025068989 0.01486111 14.8611111 587.7852523 551.743878 -2.61679781322 5.6199601914 0.01490741 14.9074074 601.8150232 551.105655 -0.87262032323 5.6374134839 0.0149537 14.9537037 615.6614753 550.46817 0.87262032324 5.6548667765 0.015 15 629.320391 549.831423 2.61679781

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325 5.672320069 0.0150463 15.0462963 642.7876097 549.195412 4.35778714326 5.6897733615 0.01509259 15.0925926 656.059029 548.560137 6.09346717327 5.707226654 0.01513889 15.1388889 669.1306064 547.925597 7.82172325328 5.7246799465 0.01518519 15.1851852 681.9983601 547.291791 9.54044977329 5.7421332391 0.01523148 15.2314815 694.6583705 546.658717 11.2475527330 5.7595865316 0.01527778 15.2777778 707.1067812 546.026377 12.9409523331 5.7770398241 0.01532407 15.3240741 719.3398003 545.394767 14.6185852332 5.7944931166 0.01537037 15.3703704 731.3537016 544.763888 16.2784077333 5.8119464091 0.01541667 15.4166667 743.1448255 544.133739 17.9183975334 5.8293997017 0.01546296 15.462963 754.7095802 543.504319 19.5365564335 5.8468529942 0.01550926 15.5092593 766.0444431 542.875627 21.1309131336 5.8643062867 0.01555556 15.5555556 777.1459615 542.247662 22.699525337 5.8817595792 0.01560185 15.6018519 788.0107536 541.620424 24.240481338 5.8992128717 0.01564815 15.6481481 798.63551 540.993911 25.7519037339 5.9166661643 0.01569444 15.6944444 809.0169944 540.368123 27.2319518340 5.9341194568 0.01574074 15.7407407 819.1520443 539.743059 28.6788218341 5.9515727493 0.01578704 15.787037 829.0375726 539.118717 30.0907512342 5.9690260418 0.01583333 15.8333333 838.6705679 538.495098 31.4660196343 5.9864793343 0.01587963 15.8796296 848.0480962 537.872201 32.8029514344 6.0039326269 0.01592593 15.9259259 857.1673007 537.250024 34.099918345 6.0213859194 0.01597222 15.9722222 866.0254038 536.628566 35.3553391346 6.0388392119 0.01601852 16.0185185 874.6197071 536.007828 36.5676851347 6.0562925044 0.01606481 16.0648148 882.9475929 535.387807 37.735479348 6.0737457969 0.01611111 16.1111111 891.0065242 534.768504 38.8572981349 6.0911990895 0.01615741 16.1574074 898.7940463 534.149917 39.9317755350 6.108652382 0.0162037 16.2037037 906.307787 533.532045 40.9576022351 6.1261056745 0.01625 16.25 913.5454576 532.914889 41.9335284352 6.143558967 0.0162963 16.2962963 920.5048535 532.298446 42.858365353 6.1610122595 0.01634259 16.3425926 927.1838546 531.682716 43.7309854354 6.1784655521 0.01638889 16.3888889 933.5804265 531.067698 44.5503262355 6.1959188446 0.01643519 16.4351852 939.6926208 530.453392 45.3153894356 6.2133721371 0.01648148 16.4814815 945.5185756 529.839797 46.0252427357 6.2308254296 0.01652778 16.5277778 951.0565163 529.226911 46.6790213358 6.2482787221 0.01657407 16.5740741 956.304756 528.614734 47.2759288359 6.2657320147 0.01662037 16.6203704 961.2616959 528.003266 47.8152378360 6.2831853072 0.01666667 16.6666667 965.9258263 527.392504 48.2962913361 6.3006385997 0.01671296 16.712963 970.2957263 526.782449 48.7185032362 6.3180918922 0.01675926 16.7592593 974.3700648 526.1731 49.0813592363 6.3355451847 0.01680556 16.8055556 978.1476007 525.564456 49.384417364 6.3529984773 0.01685185 16.8518519 981.6271834 524.956515 49.6273076365 6.3704517698 0.01689815 16.8981481 984.807753 524.349278 49.8097349366 6.3879050623 0.01694444 16.9444444 987.6883406 523.742744 49.9314767367 6.4053583548 0.01699074 16.9907407 990.2680687 523.136911 49.9923848368 6.4228116473 0.01703704 17.037037 992.5461516 522.531778 49.9923848369 6.4402649399 0.01708333 17.0833333 994.5218954 521.927346 49.9314767370 6.4577182324 0.01712963 17.1296296 996.1946981 521.323613 49.8097349371 6.4751715249 0.01717593 17.1759259 997.5640503 520.720578 49.6273076372 6.4926248174 0.01722222 17.2222222 998.6295348 520.118241 49.384417

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373 6.5100781099 0.01726852 17.2685185 999.390827 519.5166 49.0813592374 6.5275314025 0.01731481 17.3148148 999.8476952 518.915656 48.7185032375 6.544984695 0.01736111 17.3611111 1000 518.315407 48.2962913376 6.5624379875 0.01740741 17.4074074 999.8476952 517.715851 47.8152378377 6.57989128 0.0174537 17.4537037 999.390827 517.11699 47.2759288378 6.5973445725 0.0175 17.5 998.6295348 516.518821 46.6790213379 6.6147978651 0.0175463 17.5462963 997.5640503 515.921344 46.0252427380 6.6322511576 0.01759259 17.5925926 996.1946981 515.324559 45.3153894381 6.6497044501 0.01763889 17.6388889 994.5218954 514.728463 44.5503262382 6.6671577426 0.01768519 17.6851852 992.5461516 514.133057 43.7309854383 6.6846110351 0.01773148 17.7314815 990.2680687 513.53834 42.858365384 6.7020643277 0.01777778 17.7777778 987.6883406 512.944311 41.9335284385 6.7195176202 0.01782407 17.8240741 984.807753 512.350969 40.9576022386 6.7369709127 0.01787037 17.8703704 981.6271834 511.758313 39.9317755387 6.7544242052 0.01791667 17.9166667 978.1476007 511.166343 38.8572981388 6.7718774977 0.01796296 17.962963 974.3700648 510.575057 37.735479389 6.7893307903 0.01800926 18.0092593 970.2957263 509.984456 36.5676851390 6.8067840828 0.01805556 18.0555556 965.9258263 509.394537 35.3553391391 6.8242373753 0.01810185 18.1018519 961.2616959 508.805301 34.099918392 6.8416906678 0.01814815 18.1481481 956.304756 508.216747 32.8029514393 6.8591439603 0.01819444 18.1944444 951.0565163 507.628873 31.4660196394 6.8765972529 0.01824074 18.2407407 945.5185756 507.04168 30.0907512395 6.8940505454 0.01828704 18.287037 939.6926208 506.455166 28.6788218396 6.9115038379 0.01833333 18.3333333 933.5804265 505.86933 27.2319518397 6.9289571304 0.01837963 18.3796296 927.1838546 505.284172 25.7519037398 6.9464104229 0.01842593 18.4259259 920.5048535 504.69969 24.240481399 6.9638637155 0.01847222 18.4722222 913.5454576 504.115885 22.699525400 6.981317008 0.01851852 18.5185185 906.307787 503.532755 21.1309131401 6.9987703005 0.01856481 18.5648148 898.7940463 502.9503 19.5365564402 7.016223593 0.01861111 18.6111111 891.0065242 502.368518 17.9183975403 7.0336768855 0.01865741 18.6574074 882.9475929 501.787409 16.2784077404 7.0511301781 0.0187037 18.7037037 874.6197071 501.206973 14.6185852405 7.0685834706 0.01875 18.75 866.0254038 500.627208 12.9409523406 7.0860367631 0.0187963 18.7962963 857.1673007 500.048113 11.2475527407 7.1034900556 0.01884259 18.8425926 848.0480962 499.469689 9.54044977408 7.1209433481 0.01888889 18.8888889 838.6705679 498.891933 7.82172325409 7.1383966407 0.01893519 18.9351852 829.0375726 498.314846 6.09346717410 7.1558499332 0.01898148 18.9814815 819.1520443 497.738426 4.35778714411 7.1733032257 0.01902778 19.0277778 809.0169944 497.162673 2.61679781412 7.1907565182 0.01907407 19.0740741 798.63551 496.587587 0.87262032413 7.2082098107 0.01912037 19.1203704 788.0107536 496.013165 -0.87262032414 7.2256631033 0.01916667 19.1666667 777.1459615 495.439408 -2.61679781415 7.2431163958 0.01921296 19.212963 766.0444431 494.866314 -4.35778714416 7.2605696883 0.01925926 19.2592593 754.7095802 494.293884 -6.09346717417 7.2780229808 0.01930556 19.3055556 743.1448255 493.722115 -7.82172325418 7.2954762733 0.01935185 19.3518519 731.3537016 493.151008 -9.54044977419 7.3129295659 0.01939815 19.3981481 719.3398003 492.580562 -11.2475527420 7.3303828584 0.01944444 19.4444444 707.1067812 492.010775 -12.9409523

Page 24: TAREA 3-Muestro de señales eléctricas para relés numéricos

421 7.3478361509 0.01949074 19.4907407 694.6583705 491.441647 -14.6185852422 7.3652894434 0.01953704 19.537037 681.9983601 490.873178 -16.2784077423 7.3827427359 0.01958333 19.5833333 669.1306064 490.305367 -17.9183975424 7.4001960285 0.01962963 19.6296296 656.059029 489.738212 -19.5365564425 7.417649321 0.01967593 19.6759259 642.7876097 489.171713 -21.1309131426 7.4351026135 0.01972222 19.7222222 629.320391 488.60587 -22.699525427 7.452555906 0.01976852 19.7685185 615.6614753 488.040681 -24.240481428 7.4700091985 0.01981481 19.8148148 601.8150232 487.476146 -25.7519037429 7.4874624911 0.01986111 19.8611111 587.7852523 486.912264 -27.2319518430 7.5049157836 0.01990741 19.9074074 573.5764364 486.349034 -28.6788218431 7.5223690761 0.0199537 19.9537037 559.1929035 485.786455 -30.0907512432 7.5398223686 0.02 20 544.639035 485.224528 -31.4660196433 7.5572756611 0.0200463 20.0462963 529.9192642 484.66325 -32.8029514434 7.5747289537 0.02009259 20.0925926 515.0380749 484.102622 -34.099918435 7.5921822462 0.02013889 20.1388889 500 483.542642 -35.3553391436 7.6096355387 0.02018519 20.1851852 484.8096202 482.98331 -36.5676851437 7.6270888312 0.02023148 20.2314815 469.4715628 482.424625 -37.735479438 7.6445421237 0.02027778 20.2777778 453.9904997 481.866586 -38.8572981439 7.6619954163 0.02032407 20.3240741 438.3711468 481.309193 -39.9317755440 7.6794487088 0.02037037 20.3703704 422.6182617 480.752444 -40.9576022441 7.6969020013 0.02041667 20.4166667 406.7366431 480.19634 -41.9335284442 7.7143552938 0.02046296 20.462963 390.7311285 479.640878 -42.858365443 7.7318085863 0.02050926 20.5092593 374.6065934 479.086059 -43.7309854444 7.7492618789 0.02055556 20.5555556 358.3679495 478.531883 -44.5503262445 7.7667151714 0.02060185 20.6018519 342.0201433 477.978347 -45.3153894446 7.7841684639 0.02064815 20.6481481 325.5681545 477.425451 -46.0252427447 7.8016217564 0.02069444 20.6944444 309.0169944 476.873195 -46.6790213448 7.8190750489 0.02074074 20.7407407 292.3717047 476.321578 -47.2759288449 7.8365283415 0.02078704 20.787037 275.6373558 475.770598 -47.8152378450 7.853981634 0.02083333 20.8333333 258.8190451 475.220256 -48.2962913451 7.8714349265 0.02087963 20.8796296 241.9218956 474.670551 -48.7185032452 7.888888219 0.02092593 20.9259259 224.9510543 474.121482 -49.0813592453 7.9063415115 0.02097222 20.9722222 207.9116908 473.573048 -49.384417454 7.9237948041 0.02101852 21.0185185 190.8089954 473.025248 -49.6273076455 7.9412480966 0.02106481 21.0648148 173.6481777 472.478081 -49.8097349456 7.9587013891 0.02111111 21.1111111 156.434465 471.931548 -49.9314767457 7.9761546816 0.02115741 21.1574074 139.173101 471.385647 -49.9923848458 7.9936079741 0.0212037 21.2037037 121.8693434 470.840377 -49.9923848459 8.0110612667 0.02125 21.25 104.5284633 470.295738 -49.9314767460 8.0285145592 0.0212963 21.2962963 87.15574275 469.75173 -49.8097349461 8.0459678517 0.02134259 21.3425926 69.75647374 469.20835 -49.6273076462 8.0634211442 0.02138889 21.3888889 52.33595624 468.665599 -49.384417463 8.0808744367 0.02143519 21.4351852 34.8994967 468.123476 -49.0813592464 8.0983277293 0.02148148 21.4814815 17.45240644 467.58198 -48.7185032465 8.1157810218 0.02152778 21.5277778 3.06162E-13 467.04111 -48.2962913466 8.1332343143 0.02157407 21.5740741 -17.4524064 466.500866 -47.8152378467 8.1506876068 0.02162037 21.6203704 -34.8994967 465.961246 -47.2759288468 8.1681408993 0.02166667 21.6666667 -52.3359562 465.422251 -46.6790213

Page 25: TAREA 3-Muestro de señales eléctricas para relés numéricos

469 8.1855941919 0.02171296 21.712963 -69.7564737 464.88388 -46.0252427470 8.2030474844 0.02175926 21.7592593 -87.1557427 464.346131 -45.3153894471 8.2205007769 0.02180556 21.8055556 -104.528463 463.809004 -44.5503262472 8.2379540694 0.02185185 21.8518519 -121.869343 463.272499 -43.7309854473 8.2554073619 0.02189815 21.8981481 -139.173101 462.736614 -42.858365474 8.2728606545 0.02194444 21.9444444 -156.434465 462.201349 -41.9335284475 8.290313947 0.02199074 21.9907407 -173.648178 461.666703 -40.9576022476 8.3077672395 0.02203704 22.037037 -190.808995 461.132676 -39.9317755477 8.325220532 0.02208333 22.0833333 -207.911691 460.599266 -38.8572981478 8.3426738245 0.02212963 22.1296296 -224.951054 460.066474 -37.735479479 8.3601271171 0.02217593 22.1759259 -241.921896 459.534297 -36.5676851480 8.3775804096 0.02222222 22.2222222 -258.819045 459.002737 -35.3553391481 8.3950337021 0.02226852 22.2685185 -275.637356 458.471791 -34.099918482 8.4124869946 0.02231481 22.3148148 -292.371705 457.941459 -32.8029514483 8.4299402871 0.02236111 22.3611111 -309.016994 457.411741 -31.4660196484 8.4473935797 0.02240741 22.4074074 -325.568154 456.882635 -30.0907512485 8.4648468722 0.0224537 22.4537037 -342.020143 456.354142 -28.6788218486 8.4823001647 0.0225 22.5 -358.36795 455.82626 -27.2319518487 8.4997534572 0.0225463 22.5462963 -374.606593 455.298988 -25.7519037488 8.5172067497 0.02259259 22.5925926 -390.731128 454.772327 -24.240481489 8.5346600423 0.02263889 22.6388889 -406.736643 454.246274 -22.699525490 8.5521133348 0.02268519 22.6851852 -422.618262 453.72083 -21.1309131491 8.5695666273 0.02273148 22.7314815 -438.371147 453.195994 -19.5365564492 8.5870199198 0.02277778 22.7777778 -453.9905 452.671765 -17.9183975493 8.6044732123 0.02282407 22.8240741 -469.471563 452.148143 -16.2784077494 8.6219265049 0.02287037 22.8703704 -484.80962 451.625126 -14.6185852495 8.6393797974 0.02291667 22.9166667 -500 451.102714 -12.9409523496 8.6568330899 0.02296296 22.962963 -515.038075 450.580906 -11.2475527497 8.6742863824 0.02300926 23.0092593 -529.919264 450.059703 -9.54044977498 8.6917396749 0.02305556 23.0555556 -544.639035 449.539101 -7.82172325499 8.7091929675 0.02310185 23.1018519 -559.192903 449.019102 -6.09346717500 8.72664626 0.02314815 23.1481481 -573.576436 448.499705 -4.35778714501 8.7440995525 0.02319444 23.1944444 -587.785252 447.980909 -2.61679781502 8.761552845 0.02324074 23.2407407 -601.815023 447.462712 -0.87262032503 8.7790061375 0.02328704 23.287037 -615.661475 446.945115 0.87262032504 8.7964594301 0.02333333 23.3333333 -629.320391 446.428117 2.61679781505 8.8139127226 0.02337963 23.3796296 -642.78761 445.911716 4.35778714506 8.8313660151 0.02342593 23.4259259 -656.059029 445.395913 6.09346717507 8.8488193076 0.02347222 23.4722222 -669.130606 444.880707 7.82172325508 8.8662726001 0.02351852 23.5185185 -681.99836 444.366097 9.54044977509 8.8837258927 0.02356481 23.5648148 -694.65837 443.852082 11.2475527510 8.9011791852 0.02361111 23.6111111 -707.106781 443.338661 12.9409523511 8.9186324777 0.02365741 23.6574074 -719.3398 442.825834 14.6185852512 8.9360857702 0.0237037 23.7037037 -731.353702 442.313601 16.2784077513 8.9535390627 0.02375 23.75 -743.144825 441.80196 17.9183975514 8.9709923553 0.0237963 23.7962963 -754.70958 441.290911 19.5365564515 8.9884456478 0.02384259 23.8425926 -766.044443 440.780453 21.1309131516 9.0058989403 0.02388889 23.8888889 -777.145961 440.270586 22.699525

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517 9.0233522328 0.02393519 23.9351852 -788.010754 439.761308 24.240481518 9.0408055253 0.02398148 23.9814815 -798.63551 439.25262 25.7519037519 9.0582588179 0.02402778 24.0277778 -809.016994 438.744519 27.2319518520 9.0757121104 0.02407407 24.0740741 -819.152044 438.237007 28.6788218521 9.0931654029 0.02412037 24.1203704 -829.037573 437.730082 30.0907512522 9.1106186954 0.02416667 24.1666667 -838.670568 437.223743 31.4660196523 9.1280719879 0.02421296 24.212963 -848.048096 436.717989 32.8029514524 9.1455252805 0.02425926 24.2592593 -857.167301 436.212821 34.099918525 9.162978573 0.02430556 24.3055556 -866.025404 435.708237 35.3553391526 9.1804318655 0.02435185 24.3518519 -874.619707 435.204237 36.5676851527 9.197885158 0.02439815 24.3981481 -882.947593 434.70082 37.735479528 9.2153384505 0.02444444 24.4444444 -891.006524 434.197985 38.8572981529 9.2327917431 0.02449074 24.4907407 -898.794046 433.695732 39.9317755530 9.2502450356 0.02453704 24.537037 -906.307787 433.194059 40.9576022531 9.2676983281 0.02458333 24.5833333 -913.545458 432.692967 41.9335284532 9.2851516206 0.02462963 24.6296296 -920.504853 432.192455 42.858365533 9.3026049131 0.02467593 24.6759259 -927.183855 431.692522 43.7309854534 9.3200582056 0.02472222 24.7222222 -933.580426 431.193167 44.5503262535 9.3375114982 0.02476852 24.7685185 -939.692621 430.694389 45.3153894536 9.3549647907 0.02481481 24.8148148 -945.518576 430.196189 46.0252427537 9.3724180832 0.02486111 24.8611111 -951.056516 429.698564 46.6790213538 9.3898713757 0.02490741 24.9074074 -956.304756 429.201516 47.2759288539 9.4073246682 0.0249537 24.9537037 -961.261696 428.705042 47.8152378540 9.4247779608 0.025 25 -965.925826 428.209143 48.2962913541 9.4422312533 0.0250463 25.0462963 -970.295726 427.713817 48.7185032542 9.4596845458 0.02509259 25.0925926 -974.370065 427.219064 49.0813592543 9.4771378383 0.02513889 25.1388889 -978.147601 426.724884 49.384417544 9.4945911308 0.02518519 25.1851852 -981.627183 426.231275 49.6273076545 9.5120444234 0.02523148 25.2314815 -984.807753 425.738237 49.8097349546 9.5294977159 0.02527778 25.2777778 -987.688341 425.24577 49.9314767547 9.5469510084 0.02532407 25.3240741 -990.268069 424.753872 49.9923848548 9.5644043009 0.02537037 25.3703704 -992.546152 424.262543 49.9923848549 9.5818575934 0.02541667 25.4166667 -994.521895 423.771782 49.9314767550 9.599310886 0.02546296 25.462963 -996.194698 423.281589 49.8097349

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ONDA FUNDAMENTAL

ONDA FUNDAMENTAL

Page 27: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ARMÓNICOS

FUNDAMENTAL 2do Armónico 3er Armónico 4to Armónico 5to Armónico

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ONDA FUNDAMENTAL

ONDA FUNDAMENTAL

Page 28: TAREA 3-Muestro de señales eléctricas para relés numéricos

Parámetros Expo. Decre800

0.04-25

3ro Armón. 4to Armón. 5to Armón. Fund. + DC Fund.+DC+Arm. Pares SIN 15 gra MUESTRAS193.185165 19.3185165 67.6148078 1765.925826 1833.5406341293 1000

195.62952 19.6325437 68.9365427 1769.370336 1837.72138288838 999.847695197.537668 19.850923 69.7336289 1772.520355 1841.45263683278 999.390827198.904379 19.9725907 70 1775.37464 1844.73164763495 998.629535199.725907 19.9969539 69.7336289 1777.93204 1847.55630140212 997.56405

200 19.923894 68.9365427 1780.191493 1849.92512236452 996.194698199.725907 19.7537668 67.6148078 1782.152031 1851.83727413702 994.521895198.904379 19.4874013 65.7784835 1783.812772 1853.29255855096 992.546152197.537668 19.1260951 63.4415451 1785.172932 1854.29141206407 990.268069

195.62952 18.6716085 60.6217783 1786.231815 1854.83489976794 987.688341193.185165 18.1261557 57.3406431 1786.988816 1854.92470702372 984.807753190.211303 17.4923941 53.623111 1787.443427 1854.5631287675 981.627183186.716085 16.7734114 49.4974747 1787.595228 1853.75305653837 978.147601182.709092 15.9727102 44.9951327 1787.443894 1852.49796329204 974.370065178.201305 15.0941916 40.1503505 1786.989191 1850.80188607384 970.295726173.205081 14.1421356 35 1786.23098 1848.66940663453 965.925826167.734114 13.1211806 29.5832783 1785.169212 1846.10563008208 961.261696161.803399 12.0363005 23.94141 1783.803932 1843.11616167168 956.304756155.429192 10.8927807 18.1173332 1782.13528 1839.70708184473 951.056516148.628965 9.6961924 12.1553724 1780.163485 1835.88491963585 945.518576141.421356 8.45236523 6.10090199 1777.88887 1831.65662457434 939.692621133.826121 7.16735899 -2.68E-14 1775.311852 1827.02953721332 933.580426125.864078 5.84743409 -6.10090199 1772.432939 1822.01135842627 927.183855

117.55705 4.49902109 -12.1553724 1769.252731 1816.61011761602 920.504853108.927807 3.1286893 -18.1173332 1765.771922 1810.83413998629 913.545458

100 1.74311485 -23.94141 1761.991296 1804.69201302988 906.30778790.7980999 0.34904813 -29.5832783 1757.911729 1798.19255239114 898.79404681.3473286 -1.04671912 -35 1753.534188 1791.34476726287 891.00652471.6735899 -2.43738687 -40.1503505 1748.859733 1784.15782547977 882.94759361.8033989 -3.81617991 -44.9951327 1743.889513 1776.64101847155 874.619707

51.763809 -5.1763809 -49.4974747 1738.624768 1768.80372623919 866.02540441.5823382 -6.51136309 -53.623111 1733.066828 1760.65538251722 857.167301

31.286893 -7.81462257 -57.3406431 1727.217111 1752.2054402838 848.04809620.9056927 -9.07980999 -60.6217783 1721.077128 1743.46333777806 838.67056810.4671912 -10.3007615 -63.4415451 1714.648476 1734.43846518159 829.037573-3.2162E-14 -11.4715287 -65.7784835 1707.932839 1725.14013211728 819.152044-10.4671912 -12.5864078 -67.6148078 1700.931992 1715.57753611427 809.016994

Page 29: TAREA 3-Muestro de señales eléctricas para relés numéricos

-20.9056927 -13.6399672 -68.9365427 1693.647796 1705.75973218288 798.63551-31.286893 -14.627074 -69.7336289 1686.082197 1695.69560363775 788.010754

-41.5823382 -15.5429192 -70 1678.237229 1685.39383430068 777.145961-51.763809 -16.3830409 -69.7336289 1670.11501 1674.86288220803 766.044443

-61.8033989 -17.143346 -68.9365427 1661.717745 1664.11095493968 754.70958-71.6735899 -17.8201305 -67.6148078 1653.04772 1653.14598667846 743.144825-81.3473286 -18.4100971 -65.7784835 1644.107306 1641.97561710016 731.353702-90.7980999 -18.9103715 -63.4415451 1634.898958 1630.6071721853 719.3398

-100 -19.3185165 -60.6217783 1625.425211 1619.04764703392 707.106781-108.927807 -19.6325437 -57.3406431 1615.688682 1607.30369075482 694.65837

-117.55705 -19.850923 -53.623111 1605.692067 1595.38159349045 681.99836-125.864078 -19.9725907 -49.4974747 1595.438143 1583.28727562776 669.130606-133.826121 -19.9969539 -44.9951327 1584.929766 1571.02627923481 656.059029-141.421356 -19.923894 -40.1503505 1574.169869 1558.60376175158 642.78761 K-148.628965 -19.7537668 -35 1563.161461 1546.02449195251 629.320391-155.429192 -19.4874013 -29.5832783 1551.907629 1533.29284818699 615.661475-161.803399 -19.1260951 -23.94141 1540.411534 1520.4128188927 601.815023-167.734114 -18.6716085 -18.1173332 1528.676412 1507.38800536566 587.785252-173.205081 -18.1261557 -12.1553724 1516.70557 1494.22162675954 573.576436-178.201305 -17.4923941 -6.10090199 1504.502389 1480.91652727598 559.192903-182.709092 -16.7734114 -1.2859E-14 1492.07032 1467.4751854968 544.639035-186.716085 -15.9727102 6.10090199 1479.412886 1453.89972579843 529.919264-190.211303 -15.0941916 12.1553724 1466.533676 1440.19193177889 515.038075-193.185165 -14.1421356 18.1173332 1453.436349 1426.35326161741 500

-195.62952 -13.1211806 23.94141 1440.124631 1412.38486527776 484.80962-197.537668 -12.0363005 29.5832783 1426.602312 1398.28760345699 469.471563-198.904379 -10.8927807 35 1412.873246 1384.06206817289 453.9905-199.725907 -9.6961924 40.1503505 1398.941354 1369.70860487566 438.371147

-200 -8.45236523 44.9951327 1384.810614 1355.22733596144 422.618262-199.725907 -7.16735899 49.4974747 1370.48507 1340.61818555903 406.736643-198.904379 -5.84743409 53.623111 1355.968821 1325.88090545461 390.731128-197.537668 -4.49902109 57.3406431 1341.266027 1311.01510201388 374.606593

-195.62952 -3.1286893 60.6217783 1326.380905 1296.0202639563 358.36795-193.185165 -1.74311485 63.4415451 1311.317728 1280.89579083197 342.020143-190.211303 -0.34904813 65.7784835 1296.080821 1265.64102204824 325.568154-186.716085 1.04671912 67.6148078 1280.674567 1250.25526629085 309.016994-182.709092 2.43738687 68.9365427 1265.103396 1234.73783118221 292.371705-178.201305 3.81617991 69.7336289 1249.371791 1219.08805301868 275.637356-173.205081 5.1763809 70 1233.484285 1203.30532642835 258.819045-167.734114 6.51136309 69.7336289 1217.445456 1187.38913379127 241.921896-161.803399 7.81462257 68.9365427 1201.259931 1171.33907426556 224.951054-155.429192 9.07980999 67.6148078 1184.93238 1155.15489226466 207.911691-148.628965 10.3007615 65.7784835 1168.467519 1138.83650523418 190.808995-141.421356 11.4715287 63.4415451 1151.870104 1122.38403057993 173.648178-133.826121 12.5864078 60.6217783 1135.144932 1105.79781160355 156.434465-125.864078 13.6399672 57.3406431 1118.29684 1089.07844230677 139.173101

-117.55705 14.627074 53.623111 1101.330702 1072.22679093125 121.869343-108.927807 15.5429192 49.4974747 1084.251429 1055.24402210736 104.528463

Page 30: TAREA 3-Muestro de señales eléctricas para relés numéricos

-100 16.3830409 44.9951327 1067.063966 1038.13161749212 87.1557427-90.7980999 17.143346 40.1503505 1049.773291 1020.89139478418 69.7564737-81.3473286 17.8201305 35 1032.384416 1003.52552501202 52.3359562-71.6735899 18.4100971 29.5832783 1014.90238 986.036547999786 34.8994967-61.8033989 18.9103715 23.94141 997.3322522 968.427385924958 17.4524064

-51.763809 19.3185165 18.1173332 979.6791297 950.701354890881 2.83277E-13-41.5823382 19.6325437 12.1553724 961.948134 932.862174447743 -17.4524064

-31.286893 19.850923 6.10090199 944.1444111 914.913975005472 -34.8994967-20.9056927 19.9725907 -1.0291E-13 926.2731294 896.861303092745 -52.3359562-10.4671912 19.9969539 -6.10090199 908.3394781 878.709124427023 -69.75647373.18532E-13 19.923894 -12.1553724 890.3486657 860.462824771494 -87.155742710.4671912 19.7537668 -18.1173332 872.3059185 842.128208565901 -104.52846320.9056927 19.4874013 -23.94141 854.2164788 823.711495329339 -121.869343

31.286893 19.1260951 -29.5832783 836.0856035 805.219313844298 -139.17310141.5823382 18.6716085 -35 817.9185624 786.658694142328 -156.434465

51.763809 18.1261557 -40.1503505 799.7206365 768.037057322722 -173.64817861.8033989 17.4923941 -44.9951327 781.4971167 749.362203246496 -190.80899571.6735899 16.7734114 -49.4974747 763.2533018 730.642296158586 -207.91169181.3473286 15.9727102 -53.623111 744.9944973 711.885848301625 -224.95105490.7980999 15.0941916 -57.3406431 726.7260132 693.101701594732 -241.921896

100 14.1421356 -60.6217783 708.4531632 674.299007460514 -258.819045108.927807 13.1211806 -63.4415451 690.1812621 655.487204892823 -275.637356

117.55705 12.0363005 -65.7784835 671.9156252 636.675996866675 -292.371705125.864078 10.8927807 -67.6148078 653.6615658 617.875325200173 -309.016994133.826121 9.6961924 -68.9365427 635.4243943 599.095343986104 -325.568154141.421356 8.45236523 -69.7336289 617.2094158 580.346391718184 -342.020143148.628965 7.16735899 -70 599.0219295 561.638962243602 -358.36795155.429192 5.84743409 -69.7336289 580.8672259 542.983674679531 -374.606593161.803399 4.49902109 -68.9365427 562.7505864 524.391242436651 -390.731128167.734114 3.1286893 -67.6148078 544.6772806 505.872441497394 -406.736643173.205081 1.74311485 -65.7784835 526.6525655 487.438078100536 -422.618262178.201305 0.34904813 -63.4415451 508.6816834 469.098955986983 -438.371147182.709092 -1.04671912 -60.6217783 490.7698606 450.865843364021 -453.9905186.716085 -2.43738687 -57.3406431 472.9223056 432.749439746979 -469.471563190.211303 -3.81617991 -53.623111 455.1442078 414.760342838134 -484.80962193.185165 -5.1763809 -49.4974747 437.4407356 396.909015602814 -500

195.62952 -6.51136309 -44.9951327 419.8170348 379.205753701937 -515.038075197.537668 -7.81462257 -40.1503505 402.2782275 361.660653438827 -529.919264198.904379 -9.07980999 -35 384.8294099 344.283580375845 -544.639035199.725907 -10.3007615 -29.5832783 367.4756514 327.084138773447 -559.192903

200 -11.4715287 -23.94141 350.2219925 310.071642000474 -573.576436199.725907 -12.5864078 -18.1173332 333.0734436 293.255084060043 -587.785252198.904379 -13.6399672 -12.1553724 316.0349833 276.643112370199 -601.815023197.537668 -14.627074 -6.10090199 299.111557 260.244001932633 -615.661475

195.62952 -15.5429192 -3.0004E-14 282.3080752 244.065631016215 -629.320391193.185165 -16.3830409 6.10090199 265.6294124 228.115458474973 -642.78761190.211303 -17.143346 12.1553724 249.0804053 212.400502812376 -656.059029186.716085 -17.8201305 18.1173332 232.6658511 196.927323095491 -669.130606

Page 31: TAREA 3-Muestro de señales eléctricas para relés numéricos

182.709092 -18.4100971 23.94141 216.3905066 181.702001813776 -681.99836178.201305 -18.9103715 29.5832783 200.2590865 166.730129767997 -694.65837173.205081 -19.3185165 35 184.2762618 152.016793065031 -707.106781167.734114 -19.6325437 40.1503505 168.4466587 137.566562284263 -719.3398161.803399 -19.850923 44.9951327 152.7748567 123.383483870851 -731.353702155.429192 -19.9725907 49.4974747 137.2653877 109.471073800446 -743.144825148.628965 -19.9969539 53.623111 121.9227346 95.8323135490582 -754.70958141.421356 -19.923894 57.3406431 106.7513295 82.4696483906392 -766.044443 K+1133.826121 -19.7537668 60.6217783 91.75555266 69.3849880337632 -777.145961125.864078 -19.4874013 63.4415451 76.93973122 56.5797095975169 -788.010754

117.55705 -19.1260951 65.7784835 62.30813771 44.0546629154041 -798.63551108.927807 -18.6716085 67.6148078 47.86498886 31.8101781448571 -809.016994

100 -18.1261557 68.9365427 33.61444425 19.8460756487901 -819.15204490.7980999 -17.4923941 69.7336289 19.56060508 8.1616781046484 -829.03757381.3473286 -16.7734114 70 5.707512893 -3.24417521436722 -838.67056871.6735899 -15.9727102 69.7336289 -7.94085162 -14.3731120517442 -848.04809661.8033989 -15.0941916 68.9365427 -21.3805699 -25.2272087498174 -857.167301

51.763809 -14.1421356 67.6148078 -34.6077865 -35.808969887548 -866.02540441.5823382 -13.1211806 65.7784835 -47.6187107 -46.1213060692466 -874.619707

31.286893 -12.0363005 63.4415451 -60.4096172 -56.1675099685667 -882.94759320.9056927 -10.8927807 60.6217783 -72.9768475 -65.9512307405679 -891.00652410.4671912 -9.6961924 57.3406431 -85.3168109 -75.4764469225987 -898.794046-2.9404E-13 -8.45236523 53.623111 -97.4259858 -84.7474379521103 -906.307787-10.4671912 -7.16735899 49.4974747 -109.30092 -93.768754436268 -913.545458-20.9056927 -5.84743409 44.9951327 -120.938234 -102.545187314332 -920.504853

-31.286893 -4.49902109 40.1503505 -132.334619 -111.081736059195 -927.183855-41.5823382 -3.1286893 35 -143.486839 -119.383576069202 -933.580426

-51.763809 -1.74311485 29.5832783 -154.391732 -127.456025405359 -939.692621-61.8033989 -0.34904813 23.94141 -165.046214 -135.304511032283 -945.518576-71.6735899 1.04671912 18.1173332 -175.447273 -142.934534723753 -951.056516-81.3473286 2.43738687 12.1553724 -185.591977 -150.351638795402 -956.304756-90.7980999 3.81617991 6.10090199 -195.47747 -157.561371828032 -961.261696

-100 5.1763809 -8.5769E-14 -205.100975 -164.569254545165 -965.925826-108.927807 6.51136309 -6.10090199 -214.459794 -171.380746007812 -970.295726

-117.55705 7.81462257 -12.1553724 -223.551312 -178.00121028796 -974.370065-125.864078 9.07980999 -18.1173332 -232.372992 -184.435883780104 -978.147601-133.826121 10.3007615 -23.94141 -240.92238 -190.689843307148 -981.627183-141.421356 11.4715287 -29.5832783 -249.197106 -196.767975173239 -984.807753-148.628965 12.5864078 -35 -257.194882 -202.674945311657 -987.688341-155.429192 13.6399672 -40.1503505 -264.913503 -208.415170670656 -990.268069-161.803399 14.627074 -44.9951327 -272.350851 -213.992791974287 -992.546152-167.734114 15.5429192 -49.4974747 -279.504893 -219.411647988689 -994.521895-173.205081 16.3830409 -53.623111 -286.373682 -224.675251417145 -996.194698-178.201305 17.143346 -57.3406431 -292.955355 -229.786766539444 -997.56405-182.709092 17.8201305 -60.6217783 -299.248141 -234.748988702754 -998.629535-186.716085 18.4100971 -63.4415451 -305.250352 -239.564325762363 -999.390827-190.211303 18.9103715 -65.7784835 -310.960391 -244.234781561329 -999.847695-193.185165 19.3185165 -67.6148078 -316.376749 -248.761941528325 -1000

Page 32: TAREA 3-Muestro de señales eléctricas para relés numéricos

-195.62952 19.6325437 -68.9365427 -321.498007 -253.146960462833 -999.847695-197.537668 19.850923 -69.7336289 -326.322835 -257.390552566367 -999.390827-198.904379 19.9725907 -70 -330.849991 -261.492983767667 -998.629535-199.725907 19.9969539 -69.7336289 -335.078328 -265.454066378812 -997.56405

-200 19.923894 -68.9365427 -339.006785 -269.27315610805 -996.194698-199.725907 19.7537668 -67.6148078 -342.634395 -272.949151443846 -994.521895-198.904379 19.4874013 -65.7784835 -345.960281 -276.480495413319 -992.546152-197.537668 19.1260951 -63.4415451 -348.98366 -279.865179706855 -990.268069

-195.62952 18.6716085 -60.6217783 -351.703836 -283.100751149352 -987.688341-193.185165 18.1261557 -57.3406431 -354.120211 -286.184320487349 -984.807753-190.211303 17.4923941 -53.623111 -356.232275 -289.112573450185 -981.627183-186.716085 16.7734114 -49.4974747 -358.039612 -291.881784032462 -978.147601-182.709092 15.9727102 -44.9951327 -359.541899 -294.487829934488 -974.370065-178.201305 15.0941916 -40.1503505 -360.738905 -296.926210087022 -970.295726-173.205081 14.1421356 -35 -361.630491 -299.192064176733 -965.925826-167.734114 13.1211806 -29.5832783 -362.216612 -301.280194079192 -961.261696-161.803399 12.0363005 -23.94141 -362.497316 -303.185087097164 -956.304756-155.429192 10.8927807 -18.1173332 -362.472743 -304.900940893313 -951.056516-148.628965 9.6961924 -12.1553724 -362.143125 -306.421689998415 -945.518576-141.421356 8.45236523 -6.10090199 -361.508788 -307.741033768654 -939.692621-133.826121 7.16735899 7.71961E-14 -360.570151 -308.852465658717 -933.580426-125.864078 5.84743409 6.10090199 -359.327723 -309.749303671158 -927.183855

-117.55705 4.49902109 12.1553724 -357.782108 -310.424721836963 -920.504853-108.927807 3.1286893 18.1173332 -355.934 -310.871782577384 -913.545458

-100 1.74311485 23.94141 -353.784187 -311.083469792979 -906.307787-90.7980999 0.34904813 29.5832783 -351.333546 -311.052722522421 -898.794046-81.3473286 -1.04671912 35 -348.583048 -310.772469011029 -891.006524-71.6735899 -2.43738687 40.1503505 -345.533753 -310.235661027083 -882.947593-61.8033989 -3.81617991 44.9951327 -342.186813 -309.435308262995 -874.619707

-51.763809 -5.1763809 49.4974747 -338.543471 -308.364512658051 -866.025404-41.5823382 -6.51136309 53.623111 -334.605057 -307.01650248001 -857.167301

-31.286893 -7.81462257 57.3406431 -330.372995 -305.384666004127 -848.048096-20.9056927 -9.07980999 60.6217783 -325.848794 -303.462584630228 -838.670568-10.4671912 -10.3007615 63.4415451 -321.034055 -301.244065281336 -829.0375732.69546E-13 -11.4715287 65.7784835 -315.930465 -298.72317193094 -819.15204410.4671912 -12.5864078 67.6148078 -310.5398 -295.894256110323 -809.01699420.9056927 -13.6399672 68.9365427 -304.863923 -292.75198625245 -798.63551

31.286893 -14.627074 69.7336289 -298.904783 -289.291375734625 -788.01075441.5823382 -15.5429192 70 -292.664415 -285.507809488567 -777.145961

51.763809 -16.3830409 69.7336289 -286.144941 -281.397069053572 -766.04444361.8033989 -17.143346 68.9365427 -279.348566 -276.955355956074 -754.7095871.6735899 -17.8201305 67.6148078 -272.27758 -272.179313307106 -743.14482581.3473286 -18.4100971 65.7784835 -264.934356 -267.066045517883 -731.35370290.7980999 -18.9103715 63.4415451 -257.32135 -261.613136042917 -719.3398

100 -19.3185165 60.6217783 -249.441099 -255.818663069696 -707.106781108.927807 -19.6325437 57.3406431 -241.296222 -249.681213083968 -694.65837

117.55705 -19.850923 53.623111 -232.889419 -243.19989225001 -681.99836125.864078 -19.9725907 49.4974747 -224.223468 -236.374335555901 -669.130606

Page 33: TAREA 3-Muestro de señales eléctricas para relés numéricos

133.826121 -19.9969539 44.9951327 -215.301227 -229.204713684667 -656.059029141.421356 -19.923894 40.1503505 -206.125631 -221.691737583223 -642.78761 K+2148.628965 -19.7537668 35 -196.699692 -213.836660712193 -629.320391155.429192 -19.4874013 29.5832783 -187.026498 -205.64127897094 -615.661475161.803399 -19.1260951 23.94141 -177.109213 -197.107928303395 -601.815023167.734114 -18.6716085 18.1173332 -166.951074 -188.239480001502 -587.785252173.205081 -18.1261557 12.1553724 -156.555391 -179.039333734201 -573.576436178.201305 -17.4923941 6.10090199 -145.925547 -169.511408340898 -559.192903182.709092 -16.7734114 -6.8624E-14 -135.064996 -159.660130439113 -544.639035186.716085 -15.9727102 -6.10090199 -123.977261 -149.490420906552 -529.919264190.211303 -15.0941916 -12.1553724 -112.665935 -139.007679308063 -515.038075193.185165 -14.1421356 -18.1173332 -101.134678 -128.217766347832 -500

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200 -8.45236523 -44.9951327 -40.3121626 -69.8954408963863 -422.618262199.725907 -7.16735899 -49.4974747 -27.5418501 -57.4087340810112 -406.736643198.904379 -5.84743409 -53.623111 -14.5790344 -44.6669495132592 -390.731128197.537668 -4.49902109 -57.3406431 -1.42787706 -31.6788018875337 -374.606593

195.62952 -3.1286893 -60.6217783 11.90740326 -18.4532377955591 -358.36795193.185165 -1.74311485 -63.4415451 25.42253199 -4.99940467998845 -342.020143190.211303 -0.34904813 -65.7784835 39.11318008 8.67338079582159 -325.568154186.716085 1.04671912 -67.6148078 52.97496523 22.5556648056861 -309.016994182.709092 2.43738687 -68.9365427 67.00345327 36.6378886881157 -292.371705178.201305 3.81617991 -69.7336289 81.19415948 50.910421384423 -275.637356173.205081 5.1763809 -70 95.54254999 65.3635918280867 -258.819045167.734114 6.51136309 -69.7336289 110.0440431 79.9877211265727 -241.921896161.803399 7.81462257 -68.9365427 124.6940108 94.773154378085 -224.951054155.429192 9.07980999 -67.6148078 139.48778 109.710291967811 -207.911691148.628965 10.3007615 -65.7784835 154.4206342 124.78962019105 -190.808995141.421356 11.4715287 -63.4415451 169.4878145 140.001741054199 -173.648178133.826121 12.5864078 -60.6217783 184.6845217 155.337401108885 -156.434465125.864078 13.6399672 -57.3406431 200.005917 170.787519179556 -139.173101

117.55705 14.627074 -53.623111 215.4471242 186.343212850568 -121.869343108.927807 15.5429192 -49.4974747 231.0032306 201.99582358514 -104.528463

100 16.3830409 -44.9951327 246.6692888 217.736940355602 -87.155742790.7980999 17.143346 -40.1503505 262.4403183 233.558421671878 -69.756473781.3473286 17.8201305 -35 278.3113067 249.452415903345 -52.335956271.6735899 18.4100971 -29.5832783 294.2772115 265.411379797828 -34.899496761.8033989 18.9103715 -23.94141 310.3329614 281.428095110642 -17.4524064

51.763809 19.3185165 -18.1173332 326.4734581 297.495683266121 -1.837E-1341.5823382 19.6325437 -12.1553724 342.6935776 313.607617984032 17.4524064

31.286893 19.850923 -6.10090199 358.988172 329.757735813525 34.899496720.9056927 19.9725907 -1.8864E-13 375.3520709 345.940244527809 52.335956210.4671912 19.9969539 6.10090199 391.780083 362.149729343541 69.7564737-2.4505E-13 19.923894 12.1553724 408.2669979 378.381156939832 87.1557427-10.4671912 19.7537668 18.1173332 424.8075872 394.629877262896 104.528463

Page 34: TAREA 3-Muestro de señales eléctricas para relés numéricos

-20.9056927 19.4874013 23.94141 441.3966066 410.891623113445 121.869343-31.286893 19.1260951 29.5832783 458.0287972 427.162507525161 139.173101

-41.5823382 18.6716085 35 474.6988872 443.439018953613 156.434465-51.763809 18.1261557 40.1503505 491.4015935 459.71801430608 173.648178

-61.8033989 17.4923941 44.9951327 508.1316233 475.996709853542 190.808995-71.6735899 16.7734114 49.4974747 524.8836757 492.272670076812 207.911691-81.3473286 15.9727102 53.623111 541.6524435 508.543794509157 224.951054-90.7980999 15.0941916 57.3406431 558.4326143 524.808302647895 241.921896

-100 14.1421356 60.6217783 575.2188727 541.064717017152 258.819045-108.927807 13.1211806 63.4415451 592.0059017 557.311844473338 275.637356

-117.55705 12.0363005 65.7784835 608.7883842 573.548755853793 292.371705-125.864078 10.8927807 67.6148078 625.5610047 589.774764077416 309.016994-133.826121 9.6961924 68.9365427 642.3184511 605.989400813998 325.568154-141.421356 8.45236523 69.7336289 659.055416 622.192391846221 342.020143-148.628965 7.16735899 70 675.7665985 638.383631254994 358.36795-155.429192 5.84743409 69.7336289 692.4467058 654.563154564825 374.606593-161.803399 4.49902109 68.9365427 709.0904549 670.731110991272 390.731128-167.734114 3.1286893 67.6148078 725.692574 686.887734937202 406.736643-173.205081 1.74311485 65.7784835 742.2478042 703.033316888514 422.618262-178.201305 0.34904813 63.4415451 758.7509012 719.168173863193 438.371147-182.709092 -1.04671912 60.6217783 775.1966368 735.292619569971 453.9905-186.716085 -2.43738687 57.3406431 791.5798003 751.406934434601 469.471563-190.211303 -3.81617991 53.623111 807.8952006 767.511335652583 484.80962-193.185165 -5.1763809 49.4974747 824.1376674 783.605947427316 500

-195.62952 -6.51136309 44.9951327 840.3020526 799.690771552009 515.038075-197.537668 -7.81462257 40.1503505 856.3832325 815.765658492151 529.919264-198.904379 -9.07980999 35 872.3761087 831.8302791232 544.639035-199.725907 -10.3007615 29.5832783 888.2756099 847.884097275093 559.192903

-200 -11.4715287 23.94141 904.0766938 863.926343231476 573.576436-199.725907 -12.5864078 18.1173332 919.7743479 879.955988327065 587.785252-198.904379 -13.6399672 12.1553724 935.3635917 895.971720781354 601.815023-197.537668 -14.627074 6.10090199 950.8394779 911.971922901072 615.661475

-195.62952 -15.5429192 1.97211E-13 966.197094 927.954649777181 629.320391-193.185165 -16.3830409 -6.10090199 981.4315636 943.917609595158 642.78761-190.211303 -17.143346 -12.1553724 996.5380481 959.858145669479 656.059029-186.716085 -17.8201305 -18.1173332 1011.511748 975.773220305005 669.130606-182.709092 -18.4100971 -23.94141 1026.347905 991.659400579092 681.99836-178.201305 -18.9103715 -29.5832783 1041.041803 1007.51284612906 694.65837-173.205081 -19.3185165 -35 1055.588768 1023.3292990199 707.106781-167.734114 -19.6325437 -40.1503505 1069.984172 1039.10407575697 719.3398-161.803399 -19.850923 -44.9951327 1084.223434 1054.83206149825 731.353702-155.429192 -19.9725907 -49.4974747 1098.30202 1070.50770650973 743.144825-148.628965 -19.9969539 -53.623111 1112.215446 1086.12502489681 754.70958-141.421356 -19.923894 -57.3406431 1125.959277 1101.67759563352 766.044443 K+3-133.826121 -19.7537668 -60.6217783 1139.529131 1117.15856590002 777.145961-125.864078 -19.4874013 -63.4415451 1152.920678 1132.5606567277 788.010754

-117.55705 -19.1260951 -65.7784835 1166.129646 1147.87617093987 798.63551-108.927807 -18.6716085 -67.6148078 1179.151814 1163.09700336482 809.016994

Page 35: TAREA 3-Muestro de señales eléctricas para relés numéricos

-100 -18.1261557 -68.9365427 1191.983022 1178.21465328695 819.152044-90.7980999 -17.4923941 -69.7336289 1204.619166 1193.22023909052 829.037573-81.3473286 -16.7734114 -70 1217.056203 1208.1045150401 838.670568-71.6735899 -15.9727102 -69.7336289 1229.290151 1222.85789013089 848.048096-61.8033989 -15.0941916 -68.9365427 1241.317088 1237.47044893235 857.167301

-51.763809 -14.1421356 -67.6148078 1253.133158 1251.93197433833 866.025404-41.5823382 -13.1211806 -65.7784835 1264.734567 1266.23197212774 874.619707

-31.286893 -12.0363005 -63.4415451 1276.11759 1280.35969723063 882.947593-20.9056927 -10.8927807 -60.6217783 1287.278565 1294.30418158625 891.006524-10.4671912 -9.6961924 -57.3406431 1298.213899 1308.05426347168 898.794046

2.2056E-13 -8.45236523 -53.623111 1308.92007 1321.59861817213 906.30778710.4671912 -7.16735899 -49.4974747 1319.393624 1334.9257898574 913.54545820.9056927 -5.84743409 -44.9951327 1329.631178 1348.02422452304 920.504853

31.286893 -4.49902109 -40.1503505 1339.629421 1360.88230384888 927.18385541.5823382 -3.1286893 -35 1349.385117 1373.48837982351 933.580426

51.763809 -1.74311485 -29.5832783 1358.895103 1385.83080997871 939.69262161.8033989 -0.34904813 -23.94141 1368.15629 1397.89799307503 945.51857671.6735899 1.04671912 -18.1173332 1377.165666 1409.67840507708 951.05651681.3473286 2.43738687 -12.1553724 1385.920297 1421.16063525528 956.30475690.7980999 3.81617991 -6.10090199 1394.417324 1432.33342225024 961.261696

100 5.1763809 4.2906E-14 1402.65397 1443.1856899354 965.925826108.927807 6.51136309 6.10090199 1410.627535 1453.70658291456 970.295726

117.55705 7.81462257 12.1553724 1418.3354 1463.88550149222 974.370065125.864078 9.07980999 18.1173332 1425.775028 1473.71213595694 978.147601133.826121 10.3007615 23.94141 1432.943963 1483.17650002086 981.627183141.421356 11.4715287 29.5832783 1439.839832 1492.26896326244 984.807753148.628965 12.5864078 35 1446.460346 1500.98028242366 987.688341155.429192 13.6399672 40.1503505 1452.803299 1509.30163141861 990.268069161.803399 14.627074 44.9951327 1458.866571 1517.22462991575 992.546152167.734114 15.5429192 49.4974747 1464.648125 1524.74137036311 994.521895173.205081 16.3830409 53.623111 1470.146013 1531.84444333268 996.194698178.201305 17.143346 57.3406431 1475.358372 1538.5269610681 997.56405182.709092 17.8201305 60.6217783 1480.283427 1544.78257912804 998.629535186.716085 18.4100971 63.4415451 1484.91949 1550.60551602661 999.390827190.211303 18.9103715 65.7784835 1489.264961 1555.99057078143 999.847695193.185165 19.3185165 67.6148078 1493.31833 1560.93313828966 1000

195.62952 19.6325437 68.9365427 1497.078176 1565.42922246276 999.847695197.537668 19.850923 69.7336289 1500.543165 1569.47544706077 999.390827198.904379 19.9725907 70 1503.712056 1573.06906417807 998.629535199.725907 19.9969539 69.7336289 1506.583699 1576.20796034333 997.56405

200 19.923894 68.9365427 1509.157031 1578.89066020773 996.194698199.725907 19.7537668 67.6148078 1511.431084 1581.11632780663 994.521895198.904379 19.4874013 65.7784835 1513.404979 1582.88476539134 992.546152197.537668 19.1260951 63.4415451 1515.07793 1584.19640983907 990.268069

195.62952 18.6716085 60.6217783 1516.449241 1585.05232666047 987.688341193.185165 18.1261557 57.3406431 1517.518311 1585.45420163516 984.807753190.211303 17.4923941 53.623111 1518.284628 1585.40433011732 981.627183186.716085 16.7734114 49.4974747 1518.747776 1584.90560406358 978.147601

Page 36: TAREA 3-Muestro de señales eléctricas para relés numéricos

182.709092 15.9727102 44.9951327 1518.907427 1583.96149684672 974.370065178.201305 15.0941916 40.1503505 1518.763351 1582.57604592868 970.295726173.205081 14.1421356 35 1518.315407 1580.75383347631 965.925826167.734114 13.1211806 29.5832783 1517.563547 1578.49996501325 961.261696161.803399 12.0363005 23.94141 1516.507817 1575.8200462098 956.304756155.429192 10.8927807 18.1173332 1515.148356 1572.72015792205 951.056516148.628965 9.6961924 12.1553724 1513.485395 1569.20682959881 945.518576141.421356 8.45236523 6.10090199 1511.519257 1565.28701118309 939.692621133.826121 7.16735899 -3.4333E-14 1509.250358 1560.96804364124 933.580426125.864078 5.84743409 -6.10090199 1506.679209 1556.2576282595 927.183855

117.55705 4.49902109 -12.1553724 1503.806409 1551.16379485297 920.504853108.927807 3.1286893 -18.1173332 1500.632651 1545.69486903718 913.545458

100 1.74311485 -23.94141 1497.158722 1539.85943871624 906.30778790.7980999 0.34904813 -29.5832783 1493.385496 1533.66631994537 898.79404681.3473286 -1.04671912 -35 1489.313943 1527.12452232771 891.00652471.6735899 -2.43738687 -40.1503505 1484.945122 1520.24321410789 882.94759361.8033989 -3.81617991 -44.9951327 1480.280182 1513.03168712504 874.619707

51.763809 -5.1763809 -49.4974747 1475.320364 1505.49932178907 866.02540441.5823382 -6.51136309 -53.623111 1470.066997 1497.65555224302 857.167301

31.286893 -7.81462257 -57.3406431 1464.521503 1489.50983187303 848.04809620.9056927 -9.07980999 -60.6217783 1458.68539 1481.07159932576 838.67056810.4671912 -10.3007615 -63.4415451 1452.560256 1472.35024518988 829.037573-1.9607E-13 -11.4715287 -65.7784835 1446.147786 1463.35507949486 819.152044-10.4671912 -12.5864078 -67.6148078 1439.449756 1454.09530017596 809.016994-20.9056927 -13.6399672 -68.9365427 1432.468026 1444.57996264915 798.63551

-31.286893 -14.627074 -69.7336289 1425.204544 1434.81795063427 788.010754-41.5823382 -15.5429192 -70 1417.661343 1424.8179483578 777.145961

-51.763809 -16.3830409 -69.7336289 1409.840542 1414.58841426038 766.044443-61.8033989 -17.143346 -68.9365427 1401.744346 1404.13755632565 754.70958-71.6735899 -17.8201305 -67.6148078 1393.375042 1393.47330913974 743.144825-81.3473286 -18.4100971 -65.7784835 1384.735002 1382.6033127813 731.353702-90.7980999 -18.9103715 -63.4415451 1375.82668 1371.53489363322 719.3398

-100 -19.3185165 -60.6217783 1366.652611 1360.27504719746 707.106781-108.927807 -19.6325437 -57.3406431 1357.215414 1348.83042298425 694.65837

-117.55705 -19.850923 -53.623111 1347.517785 1337.20731153703 681.99836-125.864078 -19.9725907 -49.4974747 1337.562501 1325.41163364328 669.130606-133.826121 -19.9969539 -44.9951327 1327.352419 1313.44893177111 656.059029-141.421356 -19.923894 -40.1503505 1316.890471 1301.3243637601 642.78761 K+4-148.628965 -19.7537668 -35 1306.179668 1289.0426987838 629.320391-155.429192 -19.4874013 -29.5832783 1295.223097 1276.60831559029 615.661475-161.803399 -19.1260951 -23.94141 1284.023918 1264.02520301544 601.815023-167.734114 -18.6716085 -18.1173332 1272.585369 1251.29696275303 587.785252-173.205081 -18.1261557 -12.1553724 1260.910757 1238.42681435401 573.576436-178.201305 -17.4923941 -6.10090199 1249.003464 1225.41760241686 559.192903-182.709092 -16.7734114 2.74451E-13 1236.866941 1212.27180591975 544.639035-186.716085 -15.9727102 6.10090199 1224.50471 1198.99154963504 529.919264-190.211303 -15.0941916 12.1553724 1211.920362 1185.57861755618 515.038075-193.185165 -14.1421356 18.1173332 1199.117556 1172.03446825741 500

Page 37: TAREA 3-Muestro de señales eléctricas para relés numéricos

-195.62952 -13.1211806 23.94141 1186.100018 1158.36025209705 484.80962-197.537668 -12.0363005 29.5832783 1172.871538 1144.55683016619 469.471563-198.904379 -10.8927807 35 1159.435973 1130.6247948763 453.9905-199.725907 -9.6961924 40.1503505 1145.797241 1116.5644920707 438.371147

-200 -8.45236523 44.9951327 1131.959323 1102.37604453828 422.618262-199.725907 -7.16735899 49.4974747 1117.926261 1088.05937680009 406.736643-198.904379 -5.84743409 53.623111 1103.702156 1073.6142410341 390.731128-197.537668 -4.49902109 57.3406431 1089.291169 1059.04024399739 374.606593

-195.62952 -3.1286893 60.6217783 1074.697516 1044.33687480031 358.36795-193.185165 -1.74311485 63.4415451 1059.92547 1029.50353338341 342.020143-190.211303 -0.34904813 65.7784835 1044.979359 1014.53955954405 325.568154-186.716085 1.04671912 67.6148078 1029.863563 999.444262357501 309.016994-182.709092 2.43738687 68.9365427 1014.582514 984.216949835268 292.371705-178.201305 3.81617991 69.7336289 999.1406968 968.856958662364 275.637356-173.205081 5.1763809 70 983.542642 953.363683855071 258.819045-167.734114 6.51136309 69.7336289 967.7929302 937.736608181197 241.921896-161.803399 7.81462257 68.9365427 951.8961876 921.975331186145 224.951054-155.429192 9.07980999 67.6148078 935.8570857 906.079597670223 207.911691-148.628965 10.3007615 65.7784835 919.6803395 890.049325465426 190.808995-141.421356 11.4715287 63.4415451 903.3707059 873.884632363532 173.648178-133.826121 12.5864078 60.6217783 886.9329826 857.585862051691 156.434465-125.864078 13.6399672 57.3406431 870.3720068 841.153608916689 139.173101

-117.55705 14.627074 53.623111 853.6926529 824.588741584814 121.869343-108.927807 15.5429192 49.4974747 836.8998321 807.892425070605 104.528463

-100 16.3830409 44.9951327 819.9984899 791.066141414806 87.1557427-90.7980999 17.143346 40.1503505 802.9936054 774.111708699369 69.7564737-81.3473286 17.8201305 35 785.8901892 757.031298335586 52.3359562-71.6735899 18.4100971 29.5832783 768.6932822 739.827450530038 34.8994967-61.8033989 18.9103715 23.94141 751.4079541 722.503087842141 17.4524064

-51.763809 19.3185165 18.1173332 734.0393015 705.061526756757 3.06162E-13-41.5823382 19.6325437 12.1553724 716.5924468 687.50648720515 -17.4524064

-31.286893 19.850923 6.10090199 699.0725361 669.84209997788 -34.8994967-20.9056927 19.9725907 4.80192E-13 681.4847383 652.072911983819 -52.3359562-10.4671912 19.9969539 -6.10090199 663.834243 634.203889320175 -69.75647371.71574E-13 19.923894 -12.1553724 646.1262591 616.240418129455 -87.155742710.4671912 19.7537668 -18.1173332 628.3660132 598.188303230277 -104.52846320.9056927 19.4874013 -23.94141 610.558748 580.053764520168 -121.869343

31.286893 19.1260951 -29.5832783 592.7097208 561.843431159623 -139.17310141.5823382 18.6716085 -35 574.8242018 543.564333557747 -156.434465

51.763809 18.1261557 -40.1503505 556.9074724 525.223893190961 -173.64817861.8033989 17.4923941 -44.9951327 538.9648237 506.82991029697 -190.80899571.6735899 16.7734114 -49.4974747 521.0015552 488.390549496959 -207.91169181.3473286 15.9727102 -53.623111 503.0229724 469.914323409385 -224.95105490.7980999 15.0941916 -57.3406431 485.034386 451.410074328744 -241.921896

100 14.1421356 -60.6217783 467.0411097 432.886954052597 -258.819045108.927807 13.1211806 -63.4415451 449.0484592 414.354401949305 -275.637356

117.55705 12.0363005 -65.7784835 431.0617497 395.82212136797 -292.371705125.864078 10.8927807 -67.6148078 413.0862951 377.300054500343 -309.016994

Page 38: TAREA 3-Muestro de señales eléctricas para relés numéricos

133.826121 9.6961924 -68.9365427 395.1274061 358.798355812426 -325.568154141.421356 8.45236523 -69.7336289 377.1903883 340.327364170724 -342.020143148.628965 7.16735899 -70 359.280541 321.897573794776 -358.36795155.429192 5.84743409 -69.7336289 341.4031554 303.51960417368 -374.606593161.803399 4.49902109 -68.9365427 323.563513 285.204169089607 -390.731128167.734114 3.1286893 -67.6148078 305.766884 266.962044896054 -406.736643173.205081 1.74311485 -65.7784835 288.0185256 248.804038202432 -422.618262178.201305 0.34904813 -63.4415451 270.3236805 230.740953119849 -438.371147182.709092 -1.04671912 -60.6217783 252.6875754 212.783558225372 -453.9905186.716085 -2.43738687 -57.3406431 235.1154193 194.942553403674 -469.471563190.211303 -3.81617991 -53.623111 217.6124017 177.22853672596 -484.80962193.185165 -5.1763809 -49.4974747 200.1836915 159.651971526048 -500

195.62952 -6.51136309 -44.9951327 182.8344349 142.223153832929 -515.038075197.537668 -7.81462257 -40.1503505 165.5697543 124.952180317568 -529.919264198.904379 -9.07980999 -35 148.3947465 107.848916909545 -544.639035199.725907 -10.3007615 -29.5832783 131.3144809 90.9229682361083 -559.192903

200 -11.4715287 -23.94141 114.3339986 74.183648032469 -573.576436199.725907 -12.5864078 -18.1173332 97.45831024 57.6399506676899 -587.785252198.904379 -13.6399672 -12.1553724 80.69239487 41.300523925336 -601.815023197.537668 -14.627074 -6.10090199 64.04119822 25.1736431721987 -615.661475

195.62952 -15.5429192 2.57306E-13 47.50963126 9.2671870418225 -629.320391193.185165 -16.3830409 6.10090199 31.10256873 -6.41138524750751 -642.78761190.211303 -17.143346 12.1553724 14.82484761 -21.8550548284874 -656.059029186.716085 -17.8201305 18.1173332 -1.31873431 -37.0572622706417 -669.130606182.709092 -18.4100971 23.94141 -17.3234199 -52.0119247215156 -681.99836178.201305 -18.9103715 29.5832783 -33.1844943 -66.7134510177753 -694.65837173.205081 -19.3185165 35 -48.8972859 -81.1567546903867 -707.106781167.734114 -19.6325437 40.1503505 -64.4571684 -95.3372647982334 -719.3398161.803399 -19.850923 44.9951327 -79.8595617 -109.250934534842 -731.353702155.429192 -19.9725907 49.4974747 -95.0999336 -122.894247563659 -743.144825148.628965 -19.9969539 53.623111 -110.173801 -136.2642220482 -754.70958141.421356 -19.923894 57.3406431 -125.076731 -149.358412354447 -766.044443133.826121 -19.7537668 60.6217783 -139.804344 -162.17490841418 -777.145961125.864078 -19.4874013 63.4415451 -154.352311 -174.712332749081 -788.010754

117.55705 -19.1260951 65.7784835 -168.71636 -186.96983516683 -798.63551108.927807 -18.6716085 67.6148078 -182.892274 -198.947085151597 -809.016994

100 -18.1261557 68.9365427 -196.875893 -210.644261982479 -819.15204490.7980999 -17.4923941 69.7336289 -210.663116 -222.062042624463 -829.03757381.3473286 -16.7734114 70 -224.249899 -233.201587447189 -838.67056871.6735899 -15.9727102 69.7336289 -237.632263 -244.064523837397 -848.04809661.8033989 -15.0941916 68.9365427 -250.806289 -254.652927781093 -857.167301

51.763809 -14.1421356 67.6148078 -263.76812 -264.969303501317 -866.02540441.5823382 -13.1211806 65.7784835 -276.513966 -275.016561246871 -874.619707

31.286893 -12.0363005 63.4415451 -289.040101 -284.797993336312 -882.94759320.9056927 -10.8927807 60.6217783 -301.342865 -294.317248570014 -891.00652410.4671912 -9.6961924 57.3406431 -313.418669 -303.578305131048 -898.794046-1.4708E-13 -8.45236523 53.623111 -325.26399 -312.585442103001 -906.307787-10.4671912 -7.16735899 49.4974747 -336.875376 -321.34320973958 -913.545458

Page 39: TAREA 3-Muestro de señales eléctricas para relés numéricos

-20.9056927 -5.84743409 44.9951327 -348.249446 -329.856398626999 -920.504853-31.286893 -4.49902109 40.1503505 -359.382891 -338.130007885509 -927.183855

-41.5823382 -3.1286893 35 -370.272475 -346.169212561225 -933.580426-51.763809 -1.74311485 29.5832783 -380.915037 -353.979330363327 -939.692621

-61.8033989 -0.34904813 23.94141 -391.307491 -361.565787905016 -945.518576-71.6735899 1.04671912 18.1173332 -401.446825 -368.934086609061 -951.056516-81.3473286 2.43738687 12.1553724 -411.330107 -376.089768440489 -956.304756-90.7980999 3.81617991 6.10090199 -420.95448 -383.038381629903 -961.261696

-100 5.1763809 -4.3329E-17 -430.317167 -389.785446551033 -965.925826-108.927807 6.51136309 -6.10090199 -439.41547 -396.336421915497 -970.295726

-117.55705 7.81462257 -12.1553724 -448.246773 -402.696671446298 -974.370065-125.864078 9.07980999 -18.1173332 -456.808539 -408.871431189351 -978.147601-133.826121 10.3007615 -23.94141 -465.098315 -414.86577761938 -981.627183-141.421356 11.4715287 -29.5832783 -473.113728 -420.684596692757 -984.807753-148.628965 12.5864078 -35 -480.85249 -426.332553995389 -987.688341-155.429192 13.6399672 -40.1503505 -488.312398 -431.814066128556 -990.268069-161.803399 14.627074 -44.9951327 -495.491333 -437.133273469742 -992.546152-167.734114 15.5429192 -49.4974747 -502.38726 -442.294014438916 -994.521895-173.205081 16.3830409 -53.623111 -508.998232 -447.299801393591 -996.194698-178.201305 17.143346 -57.3406431 -515.322387 -452.153798268188 -997.56405-182.709092 17.8201305 -60.6217783 -521.357952 -456.858800064905 -998.629535-186.716085 18.4100971 -63.4415451 -527.10324 -461.41721429446 -999.390827-190.211303 18.9103715 -65.7784835 -532.556654 -465.831044455739 -999.847695-193.185165 19.3185165 -67.6148078 -537.716683 -470.101875633641 -1000

-195.62952 19.6325437 -68.9365427 -542.581909 -474.230862284273 -999.847695-197.537668 19.850923 -69.7336289 -547.151 -478.21871826617 -999.390827-198.904379 19.9725907 -70 -551.422717 -482.065709165489 -998.629535-199.725907 19.9969539 -69.7336289 -555.395908 -485.771646952124 -997.56405

-200 19.923894 -68.9365427 -559.069516 -489.335886992532 -996.194698-199.725907 19.7537668 -67.6148078 -562.442571 -492.757327433785 -994.521895-198.904379 19.4874013 -65.7784835 -565.514197 -496.034410962002 -992.546152-197.537668 19.1260951 -63.4415451 -568.283609 -499.165128926962 -990.268069

-195.62952 18.6716085 -60.6217783 -570.750113 -502.147027813353 -987.688341-193.185165 18.1261557 -57.3406431 -572.913109 -504.977218027897 -984.807753

0 0.005 0.01 0.015 0.02 0.025 0.030

100

200

300

400

500

600

700

800

900

COMPONENTE DC

COMPONENTE DC

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ONDA FUNDAMENTAL

ONDA FUNDAMENTAL

Page 40: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.030

100

200

300

400

500

600

700

800

900

COMPONENTE DC

COMPONENTE DC

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ARMÓNICOS

FUNDAMENTAL 2do Armónico 3er Armónico 4to Armónico 5to Armónico

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ONDA FUNDAMENTAL

ONDA FUNDAMENTAL

Page 41: TAREA 3-Muestro de señales eléctricas para relés numéricos

Reconstrucción de la onda fundamental [A]Y X V_PICO TAN^-1 45° ÁNG.[Rad] ÁNG.[Grad.]

984.807753 173.648178 1000 1.3962634 0.78539816 0.61086524 35Reconstrucción de la onda fundamental + Componente DC [B]

Y X V_PICO TAN^-1 45° ÁNG.[Rad] ÁNG.[Grad.]989.773936 178.123081 1005.67404 1.39273884 0.78539816 0.60734068 34.7980576

Reconstrucción de la onda fundamental + Componente DC + Armónicos pares[C]Y X V_PICO TAN^-1 45° ÁNG.[Rad] ÁNG.[Grad.]

989.773936 178.123081 1005.67404 1.39273884 0.78539816 0.60734068 34.7980576

Recons [A] Recons [B] Recons [C]819.152044 825.8279 825.8279809.016994 815.685771 815.685771

798.63551 805.295176 805.295176788.010754 794.65928 794.65928777.145961 783.781323 783.781323766.044443 772.664619 772.664619

754.70958 761.312553 761.312553743.144825 749.728585 749.728585731.353702 737.916242 737.916242

719.3398 725.879122 725.879122707.106781 713.620893 713.620893

694.65837 701.145288 701.145288681.99836 688.456107 688.456107

669.130606 675.557215 675.557215656.059029 662.452543 662.452543

642.78761 649.146081 649.146081629.320391 635.641883 635.641883615.661475 621.944062 621.944062601.815023 608.056791 608.056791587.785252 593.9843 593.9843573.576436 579.730876 579.730876559.192903 565.30086 565.30086544.639035 550.698647 550.698647529.919264 535.928687 535.928687515.038075 520.995478 520.995478

500 505.903568 505.903568484.80962 490.657555 490.657555

469.471563 475.262084 475.262084453.9905 459.721842 459.721842

438.371147 444.041565 444.041565422.618262 428.226029 428.226029406.736643 412.280051 412.280051390.731128 396.208488 396.208488374.606593 380.016237 380.016237

358.36795 363.708229 363.708229342.020143 347.289431 347.289431325.568154 330.764846 330.764846

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Onda fundamental

ONDA FUNDAMENTAL Fundamental sin el desfase

𝑉[𝐴]=1000cos(377+35°)𝑉[𝐵]=1005,7cos(377+34,8°)𝑉[𝐶]=1005,7cos(377+34,8°)

𝑉[𝐴]=1000sen(377+125°)𝑉[𝐵]=1005,7sen(377+124,8°)𝑉[𝐶]=1005,7sen(377+124,8°)

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción de [A]

Reconstrucción de [A]

Page 42: TAREA 3-Muestro de señales eléctricas para relés numéricos

309.016994 314.139507 314.139507292.371705 297.418478 297.418478275.637356 280.606853 280.606853258.819045 263.709751 263.709751241.921896 246.732322 246.732322224.951054 229.679735 229.679735207.911691 212.557186 212.557186190.808995 195.369889 195.369889173.648178 178.123081 178.123081156.434465 160.822015 160.822015139.173101 143.471961 143.471961121.869343 126.078204 126.078204104.528463 108.646043 108.64604387.1557427 91.1807865 91.180786569.7564737 73.6877558 73.687755852.3359562 56.172279 56.17227934.8994967 38.6396917 38.639691717.4524064 21.0953343 21.0953343

1.22465E-13 3.54455104 3.54455104-17.4524064 -14.0073119 -14.0073119-34.8994967 -31.5549081 -31.5549081-52.3359562 -49.0928923 -49.0928923-69.7564737 -66.6159224 -66.6159224-87.1557427 -84.1186606 -84.1186606-104.528463 -101.595775 -101.595775-121.869343 -119.041943 -119.041943-139.173101 -136.45185 -136.45185-156.434465 -153.820192 -153.820192-173.648178 -171.141678 -171.141678-190.808995 -188.411034 -188.411034-207.911691 -205.622997 -205.622997-224.951054 -222.772326 -222.772326-241.921896 -239.853796 -239.853796-258.819045 -256.862205 -256.862205-275.637356 -273.79237 -273.79237-292.371705 -290.639136 -290.639136-309.016994 -307.397371 -307.397371-325.568154 -324.061969 -324.061969-342.020143 -340.627855 -340.627855

-358.36795 -357.089982 -357.089982-374.606593 -373.443336 -373.443336-390.731128 -389.682936 -389.682936-406.736643 -405.803834 -405.803834-422.618262 -421.801121 -421.801121-438.371147 -437.669923 -437.669923

-453.9905 -453.405406 -453.405406-469.471563 -469.002778 -469.002778

-484.80962 -484.457287 -484.457287

Page 43: TAREA 3-Muestro de señales eléctricas para relés numéricos

-500 -499.764226 -499.764226-515.038075 -514.918931 -514.918931-529.919264 -529.916788 -529.916788-544.639035 -544.753226 -544.753226-559.192903 -559.423728 -559.423728-573.576436 -573.923823 -573.923823-587.785252 -588.249096 -588.249096-601.815023 -602.395182 -602.395182-615.661475 -616.357773 -616.357773-629.320391 -630.132616 -630.132616

-642.78761 -643.715514 -643.715514-656.059029 -657.10233 -657.10233-669.130606 -670.288986 -670.288986

-681.99836 -683.271466 -683.271466-694.65837 -696.045814 -696.045814

-707.106781 -708.608141 -708.608141-719.3398 -720.954618 -720.954618

-731.353702 -733.081486 -733.081486-743.144825 -744.98505 -744.98505

-754.70958 -756.661684 -756.661684-766.044443 -768.107832 -768.107832-777.145961 -779.320006 -779.320006-788.010754 -790.294793 -790.294793

-798.63551 -801.028847 -801.028847-809.016994 -811.518901 -811.518901-819.152044 -821.761758 -821.761758-829.037573 -831.754299 -831.754299-838.670568 -841.493479 -841.493479-848.048096 -850.976332 -850.976332-857.167301 -860.19997 -860.19997-866.025404 -869.161582 -869.161582-874.619707 -877.858439 -877.858439-882.947593 -886.287892 -886.287892-891.006524 -894.447373 -894.447373-898.794046 -902.334397 -902.334397-906.307787 -909.946561 -909.946561-913.545458 -917.281546 -917.281546-920.504853 -924.337119 -924.337119-927.183855 -931.111129 -931.111129-933.580426 -937.601514 -937.601514-939.692621 -943.806297 -943.806297-945.518576 -949.723587 -949.723587-951.056516 -955.351582 -955.351582-956.304756 -960.688568 -960.688568-961.261696 -965.732918 -965.732918-965.925826 -970.483097 -970.483097-970.295726 -974.937658 -974.937658-974.370065 -979.095243 -979.095243

Page 44: TAREA 3-Muestro de señales eléctricas para relés numéricos

-978.147601 -982.954586 -982.954586-981.627183 -986.514512 -986.514512-984.807753 -989.773936 -989.773936-987.688341 -992.731865 -992.731865-990.268069 -995.387398 -995.387398-992.546152 -997.739727 -997.739727-994.521895 -999.788134 -999.788134-996.194698 -1001.532 -1001.532

-997.56405 -1002.97078 -1002.97078-998.629535 -1004.10405 -1004.10405-999.390827 -1004.93147 -1004.93147-999.847695 -1005.45276 -1005.45276

-1000 -1005.66779 -1005.66779-999.847695 -1005.57649 -1005.57649-999.390827 -1005.17887 -1005.17887-998.629535 -1004.47507 -1004.47507

-997.56405 -1003.46529 -1003.46529-996.194698 -1002.14985 -1002.14985-994.521895 -1000.52915 -1000.52915-992.546152 -998.603671 -998.603671-990.268069 -996.37401 -996.37401-987.688341 -993.840844 -993.840844-984.807753 -991.004945 -991.004945-981.627183 -987.867176 -987.867176-978.147601 -984.428493 -984.428493-974.370065 -980.689944 -980.689944-970.295726 -976.652667 -976.652667-965.925826 -972.317892 -972.317892-961.261696 -967.68694 -967.68694-956.304756 -962.761221 -962.761221-951.056516 -957.542235 -957.542235-945.518576 -952.031573 -952.031573-939.692621 -946.230913 -946.230913-933.580426 -940.142021 -940.142021-927.183855 -933.766754 -933.766754-920.504853 -927.107052 -927.107052-913.545458 -920.164944 -920.164944-906.307787 -912.942545 -912.942545-898.794046 -905.442055 -905.442055-891.006524 -897.665758 -897.665758-882.947593 -889.616024 -889.616024-874.619707 -881.295304 -881.295304-866.025404 -872.706133 -872.706133-857.167301 -863.851127 -863.851127-848.048096 -854.732984 -854.732984-838.670568 -845.354481 -845.354481-829.037573 -835.718474 -835.718474-819.152044 -825.8279 -825.8279

Page 45: TAREA 3-Muestro de señales eléctricas para relés numéricos

-809.016994 -815.685771 -815.685771-798.63551 -805.295176 -805.295176

-788.010754 -794.65928 -794.65928-777.145961 -783.781323 -783.781323-766.044443 -772.664619 -772.664619

-754.70958 -761.312553 -761.312553-743.144825 -749.728585 -749.728585-731.353702 -737.916242 -737.916242

-719.3398 -725.879122 -725.879122-707.106781 -713.620893 -713.620893

-694.65837 -701.145288 -701.145288-681.99836 -688.456107 -688.456107

-669.130606 -675.557215 -675.557215-656.059029 -662.452543 -662.452543

-642.78761 -649.146081 -649.146081-629.320391 -635.641883 -635.641883-615.661475 -621.944062 -621.944062-601.815023 -608.056791 -608.056791-587.785252 -593.9843 -593.9843-573.576436 -579.730876 -579.730876-559.192903 -565.30086 -565.30086-544.639035 -550.698647 -550.698647-529.919264 -535.928687 -535.928687-515.038075 -520.995478 -520.995478

-500 -505.903568 -505.903568-484.80962 -490.657555 -490.657555

-469.471563 -475.262084 -475.262084-453.9905 -459.721842 -459.721842

-438.371147 -444.041565 -444.041565-422.618262 -428.226029 -428.226029-406.736643 -412.280051 -412.280051-390.731128 -396.208488 -396.208488-374.606593 -380.016237 -380.016237

-358.36795 -363.708229 -363.708229-342.020143 -347.289431 -347.289431-325.568154 -330.764846 -330.764846-309.016994 -314.139507 -314.139507-292.371705 -297.418478 -297.418478-275.637356 -280.606853 -280.606853-258.819045 -263.709751 -263.709751-241.921896 -246.732322 -246.732322-224.951054 -229.679735 -229.679735-207.911691 -212.557186 -212.557186-190.808995 -195.369889 -195.369889-173.648178 -178.123081 -178.123081-156.434465 -160.822015 -160.822015-139.173101 -143.471961 -143.471961-121.869343 -126.078204 -126.078204

Page 46: TAREA 3-Muestro de señales eléctricas para relés numéricos

-104.528463 -108.646043 -108.646043-87.1557427 -91.1807865 -91.1807865-69.7564737 -73.6877558 -73.6877558-52.3359562 -56.172279 -56.172279-34.8994967 -38.6396917 -38.6396917-17.4524064 -21.0953343 -21.0953343-2.4493E-13 -3.54455104 -3.5445510417.4524064 14.0073119 14.007311934.8994967 31.5549081 31.554908152.3359562 49.0928923 49.092892369.7564737 66.6159224 66.615922487.1557427 84.1186606 84.1186606104.528463 101.595775 101.595775121.869343 119.041943 119.041943139.173101 136.45185 136.45185156.434465 153.820192 153.820192173.648178 171.141678 171.141678190.808995 188.411034 188.411034207.911691 205.622997 205.622997224.951054 222.772326 222.772326241.921896 239.853796 239.853796258.819045 256.862205 256.862205275.637356 273.79237 273.79237292.371705 290.639136 290.639136309.016994 307.397371 307.397371325.568154 324.061969 324.061969342.020143 340.627855 340.627855

358.36795 357.089982 357.089982374.606593 373.443336 373.443336390.731128 389.682936 389.682936406.736643 405.803834 405.803834422.618262 421.801121 421.801121438.371147 437.669923 437.669923

453.9905 453.405406 453.405406469.471563 469.002778 469.002778

484.80962 484.457287 484.457287500 499.764226 499.764226

515.038075 514.918931 514.918931529.919264 529.916788 529.916788544.639035 544.753226 544.753226559.192903 559.423728 559.423728573.576436 573.923823 573.923823587.785252 588.249096 588.249096601.815023 602.395182 602.395182615.661475 616.357773 616.357773629.320391 630.132616 630.132616

642.78761 643.715514 643.715514656.059029 657.10233 657.10233

Page 47: TAREA 3-Muestro de señales eléctricas para relés numéricos

669.130606 670.288986 670.288986681.99836 683.271466 683.271466694.65837 696.045814 696.045814

707.106781 708.608141 708.608141719.3398 720.954618 720.954618

731.353702 733.081486 733.081486743.144825 744.98505 744.98505

754.70958 756.661684 756.661684766.044443 768.107832 768.107832777.145961 779.320006 779.320006788.010754 790.294793 790.294793

798.63551 801.028847 801.028847809.016994 811.518901 811.518901819.152044 821.761758 821.761758829.037573 831.754299 831.754299838.670568 841.493479 841.493479848.048096 850.976332 850.976332857.167301 860.19997 860.19997866.025404 869.161582 869.161582874.619707 877.858439 877.858439882.947593 886.287892 886.287892891.006524 894.447373 894.447373898.794046 902.334397 902.334397906.307787 909.946561 909.946561913.545458 917.281546 917.281546920.504853 924.337119 924.337119927.183855 931.111129 931.111129933.580426 937.601514 937.601514939.692621 943.806297 943.806297945.518576 949.723587 949.723587951.056516 955.351582 955.351582956.304756 960.688568 960.688568961.261696 965.732918 965.732918965.925826 970.483097 970.483097970.295726 974.937658 974.937658974.370065 979.095243 979.095243978.147601 982.954586 982.954586981.627183 986.514512 986.514512984.807753 989.773936 989.773936987.688341 992.731865 992.731865990.268069 995.387398 995.387398992.546152 997.739727 997.739727994.521895 999.788134 999.788134996.194698 1001.532 1001.532

997.56405 1002.97078 1002.97078998.629535 1004.10405 1004.10405999.390827 1004.93147 1004.93147999.847695 1005.45276 1005.45276

Page 48: TAREA 3-Muestro de señales eléctricas para relés numéricos

1000 1005.66779 1005.66779999.847695 1005.57649 1005.57649999.390827 1005.17887 1005.17887998.629535 1004.47507 1004.47507

997.56405 1003.46529 1003.46529996.194698 1002.14985 1002.14985994.521895 1000.52915 1000.52915992.546152 998.603671 998.603671990.268069 996.37401 996.37401987.688341 993.840844 993.840844984.807753 991.004945 991.004945981.627183 987.867176 987.867176978.147601 984.428493 984.428493974.370065 980.689944 980.689944970.295726 976.652667 976.652667965.925826 972.317892 972.317892961.261696 967.68694 967.68694956.304756 962.761221 962.761221951.056516 957.542235 957.542235945.518576 952.031573 952.031573939.692621 946.230913 946.230913933.580426 940.142021 940.142021927.183855 933.766754 933.766754920.504853 927.107052 927.107052913.545458 920.164944 920.164944906.307787 912.942545 912.942545898.794046 905.442055 905.442055891.006524 897.665758 897.665758882.947593 889.616024 889.616024874.619707 881.295304 881.295304866.025404 872.706133 872.706133857.167301 863.851127 863.851127848.048096 854.732984 854.732984838.670568 845.354481 845.354481829.037573 835.718474 835.718474819.152044 825.8279 825.8279809.016994 815.685771 815.685771

798.63551 805.295176 805.295176788.010754 794.65928 794.65928777.145961 783.781323 783.781323766.044443 772.664619 772.664619

754.70958 761.312553 761.312553743.144825 749.728585 749.728585731.353702 737.916242 737.916242

719.3398 725.879122 725.879122707.106781 713.620893 713.620893

694.65837 701.145288 701.145288681.99836 688.456107 688.456107

Page 49: TAREA 3-Muestro de señales eléctricas para relés numéricos

669.130606 675.557215 675.557215656.059029 662.452543 662.452543

642.78761 649.146081 649.146081629.320391 635.641883 635.641883615.661475 621.944062 621.944062601.815023 608.056791 608.056791587.785252 593.9843 593.9843573.576436 579.730876 579.730876559.192903 565.30086 565.30086544.639035 550.698647 550.698647529.919264 535.928687 535.928687515.038075 520.995478 520.995478

500 505.903568 505.903568484.80962 490.657555 490.657555

469.471563 475.262084 475.262084453.9905 459.721842 459.721842

438.371147 444.041565 444.041565422.618262 428.226029 428.226029406.736643 412.280051 412.280051390.731128 396.208488 396.208488374.606593 380.016237 380.016237

358.36795 363.708229 363.708229342.020143 347.289431 347.289431325.568154 330.764846 330.764846309.016994 314.139507 314.139507292.371705 297.418478 297.418478275.637356 280.606853 280.606853258.819045 263.709751 263.709751241.921896 246.732322 246.732322224.951054 229.679735 229.679735207.911691 212.557186 212.557186190.808995 195.369889 195.369889173.648178 178.123081 178.123081156.434465 160.822015 160.822015139.173101 143.471961 143.471961121.869343 126.078204 126.078204104.528463 108.646043 108.64604387.1557427 91.1807865 91.180786569.7564737 73.6877558 73.687755852.3359562 56.172279 56.17227934.8994967 38.6396917 38.639691717.4524064 21.0953343 21.0953343

3.67394E-13 3.54455104 3.54455104-17.4524064 -14.0073119 -14.0073119-34.8994967 -31.5549081 -31.5549081-52.3359562 -49.0928923 -49.0928923-69.7564737 -66.6159224 -66.6159224-87.1557427 -84.1186606 -84.1186606

Page 50: TAREA 3-Muestro de señales eléctricas para relés numéricos

-104.528463 -101.595775 -101.595775-121.869343 -119.041943 -119.041943-139.173101 -136.45185 -136.45185-156.434465 -153.820192 -153.820192-173.648178 -171.141678 -171.141678-190.808995 -188.411034 -188.411034-207.911691 -205.622997 -205.622997-224.951054 -222.772326 -222.772326-241.921896 -239.853796 -239.853796-258.819045 -256.862205 -256.862205-275.637356 -273.79237 -273.79237-292.371705 -290.639136 -290.639136-309.016994 -307.397371 -307.397371-325.568154 -324.061969 -324.061969-342.020143 -340.627855 -340.627855

-358.36795 -357.089982 -357.089982-374.606593 -373.443336 -373.443336-390.731128 -389.682936 -389.682936-406.736643 -405.803834 -405.803834-422.618262 -421.801121 -421.801121-438.371147 -437.669923 -437.669923

-453.9905 -453.405406 -453.405406-469.471563 -469.002778 -469.002778

-484.80962 -484.457287 -484.457287-500 -499.764226 -499.764226

-515.038075 -514.918931 -514.918931-529.919264 -529.916788 -529.916788-544.639035 -544.753226 -544.753226-559.192903 -559.423728 -559.423728-573.576436 -573.923823 -573.923823-587.785252 -588.249096 -588.249096-601.815023 -602.395182 -602.395182-615.661475 -616.357773 -616.357773-629.320391 -630.132616 -630.132616

-642.78761 -643.715514 -643.715514-656.059029 -657.10233 -657.10233-669.130606 -670.288986 -670.288986

-681.99836 -683.271466 -683.271466-694.65837 -696.045814 -696.045814

-707.106781 -708.608141 -708.608141-719.3398 -720.954618 -720.954618

-731.353702 -733.081486 -733.081486-743.144825 -744.98505 -744.98505

-754.70958 -756.661684 -756.661684-766.044443 -768.107832 -768.107832-777.145961 -779.320006 -779.320006-788.010754 -790.294793 -790.294793

-798.63551 -801.028847 -801.028847

Page 51: TAREA 3-Muestro de señales eléctricas para relés numéricos

-809.016994 -811.518901 -811.518901-819.152044 -821.761758 -821.761758-829.037573 -831.754299 -831.754299-838.670568 -841.493479 -841.493479-848.048096 -850.976332 -850.976332-857.167301 -860.19997 -860.19997-866.025404 -869.161582 -869.161582-874.619707 -877.858439 -877.858439-882.947593 -886.287892 -886.287892-891.006524 -894.447373 -894.447373-898.794046 -902.334397 -902.334397-906.307787 -909.946561 -909.946561-913.545458 -917.281546 -917.281546-920.504853 -924.337119 -924.337119-927.183855 -931.111129 -931.111129-933.580426 -937.601514 -937.601514-939.692621 -943.806297 -943.806297-945.518576 -949.723587 -949.723587-951.056516 -955.351582 -955.351582-956.304756 -960.688568 -960.688568-961.261696 -965.732918 -965.732918-965.925826 -970.483097 -970.483097-970.295726 -974.937658 -974.937658-974.370065 -979.095243 -979.095243-978.147601 -982.954586 -982.954586-981.627183 -986.514512 -986.514512-984.807753 -989.773936 -989.773936-987.688341 -992.731865 -992.731865-990.268069 -995.387398 -995.387398-992.546152 -997.739727 -997.739727-994.521895 -999.788134 -999.788134-996.194698 -1001.532 -1001.532

-997.56405 -1002.97078 -1002.97078-998.629535 -1004.10405 -1004.10405-999.390827 -1004.93147 -1004.93147-999.847695 -1005.45276 -1005.45276

-1000 -1005.66779 -1005.66779-999.847695 -1005.57649 -1005.57649-999.390827 -1005.17887 -1005.17887-998.629535 -1004.47507 -1004.47507

-997.56405 -1003.46529 -1003.46529-996.194698 -1002.14985 -1002.14985-994.521895 -1000.52915 -1000.52915-992.546152 -998.603671 -998.603671-990.268069 -996.37401 -996.37401-987.688341 -993.840844 -993.840844-984.807753 -991.004945 -991.004945-981.627183 -987.867176 -987.867176

Page 52: TAREA 3-Muestro de señales eléctricas para relés numéricos

-978.147601 -984.428493 -984.428493-974.370065 -980.689944 -980.689944-970.295726 -976.652667 -976.652667-965.925826 -972.317892 -972.317892-961.261696 -967.68694 -967.68694-956.304756 -962.761221 -962.761221-951.056516 -957.542235 -957.542235-945.518576 -952.031573 -952.031573-939.692621 -946.230913 -946.230913-933.580426 -940.142021 -940.142021-927.183855 -933.766754 -933.766754-920.504853 -927.107052 -927.107052-913.545458 -920.164944 -920.164944-906.307787 -912.942545 -912.942545-898.794046 -905.442055 -905.442055-891.006524 -897.665758 -897.665758-882.947593 -889.616024 -889.616024-874.619707 -881.295304 -881.295304-866.025404 -872.706133 -872.706133-857.167301 -863.851127 -863.851127-848.048096 -854.732984 -854.732984-838.670568 -845.354481 -845.354481-829.037573 -835.718474 -835.718474-819.152044 -825.8279 -825.8279-809.016994 -815.685771 -815.685771

-798.63551 -805.295176 -805.295176-788.010754 -794.65928 -794.65928-777.145961 -783.781323 -783.781323-766.044443 -772.664619 -772.664619

-754.70958 -761.312553 -761.312553-743.144825 -749.728585 -749.728585-731.353702 -737.916242 -737.916242

-719.3398 -725.879122 -725.879122-707.106781 -713.620893 -713.620893

0 0.005 0.01 0.015 0.02 0.025 0.030

100

200

300

400

500

600

700

800

900

COMPONENTE DC

COMPONENTE DC

Page 53: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.030

100

200

300

400

500

600

700

800

900

COMPONENTE DC

COMPONENTE DC

Page 54: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Onda fundamental

ONDA FUNDAMENTAL Fundamental sin el desfase

𝑉[𝐴]=1000cos(377+35°)𝑉[𝐵]=1005,7cos(377+34,8°)𝑉[𝐶]=1005,7cos(377+34,8°)

𝑉[𝐴]=1000sen(377+125°)𝑉[𝐵]=1005,7sen(377+124,8°)𝑉[𝐶]=1005,7sen(377+124,8°)

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción de [A]

Reconstrucción de [A]

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción de [B]

Reconstrucción de[ B]

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-500

0

500

1000

1500

2000

Onda fund.+ Comp. DC

Onda fund.+ Comp. DC

Page 55: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción de [B]

Reconstrucción de[ B]

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-500

0

500

1000

1500

2000

Onda fund.+ Comp. DC

Onda fund.+ Comp. DC

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-500

0

500

1000

1500

2000

Onda fund.+Comp.DC+Armón. Pares

Onda fund.+Comp.DC+Armón. Pares

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]

Reconstrucción [C]

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x2

Reconstrucción [C]

Page 56: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x2

Reconstrucción [C]

Page 57: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-500

0

500

1000

1500

2000

Onda fund.+Comp.DC+Armón. Pares

Onda fund.+Comp.DC+Armón. Pares

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]

Reconstrucción [C]

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x2

Reconstrucción [C]

Page 58: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x2

Reconstrucción [C]

Page 59: TAREA 3-Muestro de señales eléctricas para relés numéricos

Parámetros onda fundamental Parámetros Expo. DecreAmplitud [A] 1000 AmplitudFreq. Lineal[Hz] 60 T[s]Freq. Ang[Rad/s] 376.991 1/TDesfase[Rad] 0.2617993878

GRADOS RADIANES TIEMPO [s] Tiempo[ms] Onda funda. Comp. DC 2do Armón.0 0 0 0 965.9258263 800 96.59258261 0.0174532925 4.62963E-05 0.0462963 970.2957263 799.07461 97.43700652 0.034906585 9.25926E-05 0.09259259 974.3700648 798.15029 98.16271833 0.0523598776 0.00013889 0.13888889 978.1476007 797.227039 98.76883414 0.0698131701 0.00018519 0.18518519 981.6271834 796.304856 99.25461525 0.0872664626 0.00023148 0.23148148 984.807753 795.38374 99.61946986 0.1047197551 0.00027778 0.27777778 987.6883406 794.46369 99.86295357 0.1221730476 0.00032407 0.32407407 990.2680687 793.544704 99.98476958 0.1396263402 0.00037037 0.37037037 992.5461516 792.626781 99.98476959 0.1570796327 0.00041667 0.41666667 994.5218954 791.709919 99.8629535

10 0.1745329252 0.00046296 0.46296296 996.1946981 790.794118 99.619469811 0.1919862177 0.00050926 0.50925926 997.5640503 789.879377 99.254615212 0.2094395102 0.00055556 0.55555556 998.6295348 788.965693 98.768834113 0.2268928028 0.00060185 0.60185185 999.390827 788.053067 98.162718314 0.2443460953 0.00064815 0.64814815 999.8476952 787.141496 97.437006515 0.2617993878 0.00069444 0.69444444 1000 786.23098 96.592582616 0.2792526803 0.00074074 0.74074074 999.8476952 785.321517 95.630475617 0.2967059728 0.00078704 0.78703704 999.390827 784.413105 94.551857618 0.3141592654 0.00083333 0.83333333 998.6295348 783.505745 93.358042619 0.3316125579 0.00087963 0.87962963 997.5640503 782.599434 92.050485320 0.3490658504 0.00092593 0.92592593 996.1946981 781.694172 90.630778721 0.3665191429 0.00097222 0.97222222 994.5218954 780.789957 89.100652422 0.3839724354 0.00101852 1.01851852 992.5461516 779.886787 87.461970723 0.401425728 0.00106481 1.06481481 990.2680687 778.984663 85.716730124 0.4188790205 0.00111111 1.11111111 987.6883406 778.083582 83.867056825 0.436332313 0.00115741 1.15740741 984.807753 777.183543 81.915204426 0.4537856055 0.0012037 1.2037037 981.6271834 776.284545 79.86355127 0.471238898 0.00125 1.25 978.1476007 775.386588 77.714596128 0.4886921906 0.0012963 1.2962963 974.3700648 774.489669 75.47095829 0.5061454831 0.00134259 1.34259259 970.2957263 773.593787 73.135370230 0.5235987756 0.00138889 1.38888889 965.9258263 772.698942 70.710678131 0.5410520681 0.00143519 1.43518519 961.2616959 771.805132 68.19983632 0.5585053606 0.00148148 1.48148148 956.304756 770.912355 65.605902933 0.5759586532 0.00152778 1.52777778 951.0565163 770.020612 62.932039134 0.5934119457 0.00157407 1.57407407 945.5185756 769.1299 60.181502335 0.6108652382 0.00162037 1.62037037 939.6926208 768.240218 57.357643636 0.6283185307 0.00166667 1.66666667 933.5804265 767.351566 54.4639035

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37 0.6457718232 0.00171296 1.71296296 927.1838546 766.463941 51.503807538 0.6632251158 0.00175926 1.75925926 920.5048535 765.577343 48.48096239 0.6806784083 0.00180556 1.80555556 913.5454576 764.691771 45.3990540 0.6981317008 0.00185185 1.85185185 906.307787 763.807223 42.261826241 0.7155849933 0.00189815 1.89814815 898.7940463 762.923698 39.073112842 0.7330382858 0.00194444 1.94444444 891.0065242 762.041195 35.83679543 0.7504915784 0.00199074 1.99074074 882.9475929 761.159714 32.556815444 0.7679448709 0.00203704 2.03703704 874.6197071 760.279251 29.237170545 0.7853981634 0.00208333 2.08333333 866.0254038 759.399808 25.881904546 0.8028514559 0.00212963 2.12962963 857.1673007 758.521381 22.495105447 0.8203047484 0.00217593 2.17592593 848.0480962 757.643971 19.080899548 0.837758041 0.00222222 2.22222222 838.6705679 756.767575 15.643446549 0.8552113335 0.00226852 2.26851852 829.0375726 755.892193 12.186934350 0.872664626 0.00231481 2.31481481 819.1520443 755.017824 8.7155742751 0.8901179185 0.00236111 2.36111111 809.0169944 754.144467 5.2335956252 0.907571211 0.00240741 2.40740741 798.63551 753.272119 1.7452406453 0.9250245036 0.0024537 2.4537037 788.0107536 752.400781 -1.7452406454 0.9424777961 0.0025 2.5 777.1459615 751.53045 -5.2335956255 0.9599310886 0.0025463 2.5462963 766.0444431 750.661127 -8.7155742756 0.9773843811 0.00259259 2.59259259 754.7095802 749.792808 -12.186934357 0.9948376736 0.00263889 2.63888889 743.1448255 748.925495 -15.643446558 1.0122909662 0.00268519 2.68518519 731.3537016 748.059184 -19.080899559 1.0297442587 0.00273148 2.73148148 719.3398003 747.193876 -22.495105460 1.0471975512 0.00277778 2.77777778 707.1067812 746.329568 -25.881904561 1.0646508437 0.00282407 2.82407407 694.6583705 745.466261 -29.237170562 1.0821041362 0.00287037 2.87037037 681.9983601 744.603952 -32.556815463 1.0995574288 0.00291667 2.91666667 669.1306064 743.74264 -35.83679564 1.1170107213 0.00296296 2.96296296 656.059029 742.882325 -39.073112865 1.1344640138 0.00300926 3.00925926 642.7876097 742.023005 -42.261826266 1.1519173063 0.00305556 3.05555556 629.320391 741.164678 -45.3990567 1.1693705988 0.00310185 3.10185185 615.6614753 740.307345 -48.48096268 1.1868238914 0.00314815 3.14814815 601.8150232 739.451004 -51.503807569 1.2042771839 0.00319444 3.19444444 587.7852523 738.595653 -54.463903570 1.2217304764 0.00324074 3.24074074 573.5764364 737.741291 -57.357643671 1.2391837689 0.00328704 3.28703704 559.1929035 736.887918 -60.181502372 1.2566370614 0.00333333 3.33333333 544.639035 736.035532 -62.932039173 1.274090354 0.00337963 3.37962963 529.9192642 735.184132 -65.605902974 1.2915436465 0.00342593 3.42592593 515.0380749 734.333716 -68.19983675 1.308996939 0.00347222 3.47222222 500 733.484285 -70.710678176 1.3264502315 0.00351852 3.51851852 484.8096202 732.635836 -73.135370277 1.343903524 0.00356481 3.56481481 469.4715628 731.788368 -75.47095878 1.3613568166 0.00361111 3.61111111 453.9904997 730.941881 -77.714596179 1.3788101091 0.00365741 3.65740741 438.3711468 730.096372 -79.86355180 1.3962634016 0.0037037 3.7037037 422.6182617 729.251842 -81.915204481 1.4137166941 0.00375 3.75 406.7366431 728.408289 -83.867056882 1.4311699866 0.0037963 3.7962963 390.7311285 727.565712 -85.716730183 1.4486232792 0.00384259 3.84259259 374.6065934 726.724109 -87.461970784 1.4660765717 0.00388889 3.88888889 358.3679495 725.88348 -89.1006524

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85 1.4835298642 0.00393519 3.93518519 342.0201433 725.043823 -90.630778786 1.5009831567 0.00398148 3.98148148 325.5681545 724.205137 -92.050485387 1.5184364492 0.00402778 4.02777778 309.0169944 723.367421 -93.358042688 1.5358897418 0.00407407 4.07407407 292.3717047 722.530675 -94.551857689 1.5533430343 0.00412037 4.12037037 275.6373558 721.694896 -95.630475690 1.5707963268 0.00416667 4.16666667 258.8190451 720.860085 -96.592582691 1.5882496193 0.00421296 4.21296296 241.9218956 720.026238 -97.437006592 1.6057029118 0.00425926 4.25925926 224.9510543 719.193357 -98.162718393 1.6231562044 0.00430556 4.30555556 207.9116908 718.361439 -98.768834194 1.6406094969 0.00435185 4.35185185 190.8089954 717.530483 -99.254615295 1.6580627894 0.00439815 4.39814815 173.6481777 716.700488 -99.619469896 1.6755160819 0.00444444 4.44444444 156.434465 715.871453 -99.862953597 1.6929693744 0.00449074 4.49074074 139.173101 715.043378 -99.984769598 1.710422667 0.00453704 4.53703704 121.8693434 714.21626 -99.984769599 1.7278759595 0.00458333 4.58333333 104.5284633 713.390099 -99.8629535

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133 2.3212879052 0.00615741 6.15740741 -469.471563 685.862069 -32.5568154134 2.3387411977 0.0062037 6.2037037 -484.80962 685.068707 -29.2371705135 2.3561944902 0.00625 6.25 -500 684.276262 -25.8819045136 2.3736477827 0.0062963 6.2962963 -515.038075 683.484734 -22.4951054137 2.3911010752 0.00634259 6.34259259 -529.919264 682.694121 -19.0808995138 2.4085543678 0.00638889 6.38888889 -544.639035 681.904423 -15.6434465139 2.4260076603 0.00643519 6.43518519 -559.192903 681.115638 -12.1869343140 2.4434609528 0.00648148 6.48148148 -573.576436 680.327766 -8.71557427141 2.4609142453 0.00652778 6.52777778 -587.785252 679.540805 -5.23359562142 2.4783675378 0.00657407 6.57407407 -601.815023 678.754754 -1.74524064143 2.4958208304 0.00662037 6.62037037 -615.661475 677.969613 1.74524064144 2.5132741229 0.00666667 6.66666667 -629.320391 677.18538 5.23359562145 2.5307274154 0.00671296 6.71296296 -642.78761 676.402054 8.71557427146 2.5481807079 0.00675926 6.75925926 -656.059029 675.619634 12.1869343147 2.5656340004 0.00680556 6.80555556 -669.130606 674.838119 15.6434465148 2.583087293 0.00685185 6.85185185 -681.99836 674.057508 19.0808995149 2.6005405855 0.00689815 6.89814815 -694.65837 673.277801 22.4951054150 2.617993878 0.00694444 6.94444444 -707.106781 672.498995 25.8819045151 2.6354471705 0.00699074 6.99074074 -719.3398 671.72109 29.2371705152 2.652900463 0.00703704 7.03703704 -731.353702 670.944084 32.5568154153 2.6703537556 0.00708333 7.08333333 -743.144825 670.167978 35.836795154 2.6878070481 0.00712963 7.12962963 -754.70958 669.392769 39.0731128155 2.7052603406 0.00717593 7.17592593 -766.044443 668.618457 42.2618262156 2.7227136331 0.00722222 7.22222222 -777.145961 667.845041 45.39905157 2.7401669256 0.00726852 7.26851852 -788.010754 667.072519 48.480962158 2.7576202182 0.00731481 7.31481481 -798.63551 666.300891 51.5038075159 2.7750735107 0.00736111 7.36111111 -809.016994 665.530156 54.4639035160 2.7925268032 0.00740741 7.40740741 -819.152044 664.760312 57.3576436161 2.8099800957 0.0074537 7.4537037 -829.037573 663.991358 60.1815023162 2.8274333882 0.0075 7.5 -838.670568 663.223295 62.9320391163 2.8448866808 0.0075463 7.5462963 -848.048096 662.456119 65.6059029164 2.8623399733 0.00759259 7.59259259 -857.167301 661.689831 68.199836165 2.8797932658 0.00763889 7.63888889 -866.025404 660.924429 70.7106781166 2.8972465583 0.00768519 7.68518519 -874.619707 660.159913 73.1353702167 2.9146998508 0.00773148 7.73148148 -882.947593 659.396281 75.470958168 2.9321531434 0.00777778 7.77777778 -891.006524 658.633532 77.7145961169 2.9496064359 0.00782407 7.82407407 -898.794046 657.871666 79.863551170 2.9670597284 0.00787037 7.87037037 -906.307787 657.110681 81.9152044171 2.9845130209 0.00791667 7.91666667 -913.545458 656.350576 83.8670568172 3.0019663134 0.00796296 7.96296296 -920.504853 655.591351 85.7167301173 3.019419606 0.00800926 8.00925926 -927.183855 654.833003 87.4619707174 3.0368728985 0.00805556 8.05555556 -933.580426 654.075533 89.1006524175 3.054326191 0.00810185 8.10185185 -939.692621 653.318939 90.6307787176 3.0717794835 0.00814815 8.14814815 -945.518576 652.56322 92.0504853177 3.089232776 0.00819444 8.19444444 -951.056516 651.808376 93.3580426178 3.1066860685 0.00824074 8.24074074 -956.304756 651.054404 94.5518576179 3.1241393611 0.00828704 8.28703704 -961.261696 650.301305 95.6304756180 3.1415926536 0.00833333 8.33333333 -965.925826 649.549077 96.5925826

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277 4.834562028 0.01282407 12.8240741 -139.173101 580.569708 -99.9847695278 4.8520153205 0.01287037 12.8703704 -121.869343 579.898141 -99.9847695279 4.8694686131 0.01291667 12.9166667 -104.528463 579.22735 -99.8629535280 4.8869219056 0.01296296 12.962963 -87.1557427 578.557336 -99.6194698281 4.9043751981 0.01300926 13.0092593 -69.7564737 577.888097 -99.2546152282 4.9218284906 0.01305556 13.0555556 -52.3359562 577.219632 -98.7688341283 4.9392817831 0.01310185 13.1018519 -34.8994967 576.55194 -98.1627183284 4.9567350757 0.01314815 13.1481481 -17.4524064 575.885021 -97.4370065285 4.9741883682 0.01319444 13.1944444 -1.83697E-13 575.218873 -96.5925826286 4.9916416607 0.01324074 13.2407407 17.45240644 574.553495 -95.6304756287 5.0090949532 0.01328704 13.287037 34.8994967 573.888887 -94.5518576288 5.0265482457 0.01333333 13.3333333 52.33595624 573.225048 -93.3580426289 5.0440015383 0.01337963 13.3796296 69.75647374 572.561977 -92.0504853290 5.0614548308 0.01342593 13.4259259 87.15574275 571.899673 -90.6307787291 5.0789081233 0.01347222 13.4722222 104.5284633 571.238135 -89.1006524292 5.0963614158 0.01351852 13.5185185 121.8693434 570.577362 -87.4619707293 5.1138147083 0.01356481 13.5648148 139.173101 569.917354 -85.7167301294 5.1312680009 0.01361111 13.6111111 156.434465 569.258109 -83.8670568295 5.1487212934 0.01365741 13.6574074 173.6481777 568.599627 -81.9152044296 5.1661745859 0.0137037 13.7037037 190.8089954 567.941906 -79.863551297 5.1836278784 0.01375 13.75 207.9116908 567.284946 -77.7145961298 5.2010811709 0.0137963 13.7962963 224.9510543 566.628746 -75.470958299 5.2185344635 0.01384259 13.8425926 241.9218956 565.973305 -73.1353702300 5.235987756 0.01388889 13.8888889 258.8190451 565.318622 -70.7106781301 5.2534410485 0.01393519 13.9351852 275.6373558 564.664697 -68.199836302 5.270894341 0.01398148 13.9814815 292.3717047 564.011528 -65.6059029303 5.2883476335 0.01402778 14.0277778 309.0169944 563.359114 -62.9320391304 5.3058009261 0.01407407 14.0740741 325.5681545 562.707455 -60.1815023305 5.3232542186 0.01412037 14.1203704 342.0201433 562.05655 -57.3576436306 5.3407075111 0.01416667 14.1666667 358.3679495 561.406398 -54.4639035307 5.3581608036 0.01421296 14.212963 374.6065934 560.756998 -51.5038075308 5.3756140961 0.01425926 14.2592593 390.7311285 560.108349 -48.480962309 5.3930673887 0.01430556 14.3055556 406.7366431 559.460451 -45.39905310 5.4105206812 0.01435185 14.3518519 422.6182617 558.813302 -42.2618262311 5.4279739737 0.01439815 14.3981481 438.3711468 558.166901 -39.0731128312 5.4454272662 0.01444444 14.4444444 453.9904997 557.521249 -35.836795313 5.4628805587 0.01449074 14.4907407 469.4715628 556.876343 -32.5568154314 5.4803338513 0.01453704 14.537037 484.8096202 556.232183 -29.2371705315 5.4977871438 0.01458333 14.5833333 500 555.588768 -25.8819045316 5.5152404363 0.01462963 14.6296296 515.0380749 554.946097 -22.4951054317 5.5326937288 0.01467593 14.6759259 529.9192642 554.30417 -19.0808995318 5.5501470213 0.01472222 14.7222222 544.639035 553.662985 -15.6434465319 5.5676003139 0.01476852 14.7685185 559.1929035 553.022542 -12.1869343320 5.5850536064 0.01481481 14.8148148 573.5764364 552.38284 -8.71557427321 5.6025068989 0.01486111 14.8611111 587.7852523 551.743878 -5.23359562322 5.6199601914 0.01490741 14.9074074 601.8150232 551.105655 -1.74524064323 5.6374134839 0.0149537 14.9537037 615.6614753 550.46817 1.74524064324 5.6548667765 0.015 15 629.320391 549.831423 5.23359562

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373 6.5100781099 0.01726852 17.2685185 999.390827 519.5166 98.1627183374 6.5275314025 0.01731481 17.3148148 999.8476952 518.915656 97.4370065375 6.544984695 0.01736111 17.3611111 1000 518.315407 96.5925826376 6.5624379875 0.01740741 17.4074074 999.8476952 517.715851 95.6304756377 6.57989128 0.0174537 17.4537037 999.390827 517.11699 94.5518576378 6.5973445725 0.0175 17.5 998.6295348 516.518821 93.3580426379 6.6147978651 0.0175463 17.5462963 997.5640503 515.921344 92.0504853380 6.6322511576 0.01759259 17.5925926 996.1946981 515.324559 90.6307787381 6.6497044501 0.01763889 17.6388889 994.5218954 514.728463 89.1006524382 6.6671577426 0.01768519 17.6851852 992.5461516 514.133057 87.4619707383 6.6846110351 0.01773148 17.7314815 990.2680687 513.53834 85.7167301384 6.7020643277 0.01777778 17.7777778 987.6883406 512.944311 83.8670568385 6.7195176202 0.01782407 17.8240741 984.807753 512.350969 81.9152044386 6.7369709127 0.01787037 17.8703704 981.6271834 511.758313 79.863551387 6.7544242052 0.01791667 17.9166667 978.1476007 511.166343 77.7145961388 6.7718774977 0.01796296 17.962963 974.3700648 510.575057 75.470958389 6.7893307903 0.01800926 18.0092593 970.2957263 509.984456 73.1353702390 6.8067840828 0.01805556 18.0555556 965.9258263 509.394537 70.7106781391 6.8242373753 0.01810185 18.1018519 961.2616959 508.805301 68.199836392 6.8416906678 0.01814815 18.1481481 956.304756 508.216747 65.6059029393 6.8591439603 0.01819444 18.1944444 951.0565163 507.628873 62.9320391394 6.8765972529 0.01824074 18.2407407 945.5185756 507.04168 60.1815023395 6.8940505454 0.01828704 18.287037 939.6926208 506.455166 57.3576436396 6.9115038379 0.01833333 18.3333333 933.5804265 505.86933 54.4639035397 6.9289571304 0.01837963 18.3796296 927.1838546 505.284172 51.5038075398 6.9464104229 0.01842593 18.4259259 920.5048535 504.69969 48.480962399 6.9638637155 0.01847222 18.4722222 913.5454576 504.115885 45.39905400 6.981317008 0.01851852 18.5185185 906.307787 503.532755 42.2618262401 6.9987703005 0.01856481 18.5648148 898.7940463 502.9503 39.0731128402 7.016223593 0.01861111 18.6111111 891.0065242 502.368518 35.836795403 7.0336768855 0.01865741 18.6574074 882.9475929 501.787409 32.5568154404 7.0511301781 0.0187037 18.7037037 874.6197071 501.206973 29.2371705405 7.0685834706 0.01875 18.75 866.0254038 500.627208 25.8819045406 7.0860367631 0.0187963 18.7962963 857.1673007 500.048113 22.4951054407 7.1034900556 0.01884259 18.8425926 848.0480962 499.469689 19.0808995408 7.1209433481 0.01888889 18.8888889 838.6705679 498.891933 15.6434465409 7.1383966407 0.01893519 18.9351852 829.0375726 498.314846 12.1869343410 7.1558499332 0.01898148 18.9814815 819.1520443 497.738426 8.71557427411 7.1733032257 0.01902778 19.0277778 809.0169944 497.162673 5.23359562412 7.1907565182 0.01907407 19.0740741 798.63551 496.587587 1.74524064413 7.2082098107 0.01912037 19.1203704 788.0107536 496.013165 -1.74524064414 7.2256631033 0.01916667 19.1666667 777.1459615 495.439408 -5.23359562415 7.2431163958 0.01921296 19.212963 766.0444431 494.866314 -8.71557427416 7.2605696883 0.01925926 19.2592593 754.7095802 494.293884 -12.1869343417 7.2780229808 0.01930556 19.3055556 743.1448255 493.722115 -15.6434465418 7.2954762733 0.01935185 19.3518519 731.3537016 493.151008 -19.0808995419 7.3129295659 0.01939815 19.3981481 719.3398003 492.580562 -22.4951054420 7.3303828584 0.01944444 19.4444444 707.1067812 492.010775 -25.8819045

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421 7.3478361509 0.01949074 19.4907407 694.6583705 491.441647 -29.2371705422 7.3652894434 0.01953704 19.537037 681.9983601 490.873178 -32.5568154423 7.3827427359 0.01958333 19.5833333 669.1306064 490.305367 -35.836795424 7.4001960285 0.01962963 19.6296296 656.059029 489.738212 -39.0731128425 7.417649321 0.01967593 19.6759259 642.7876097 489.171713 -42.2618262426 7.4351026135 0.01972222 19.7222222 629.320391 488.60587 -45.39905427 7.452555906 0.01976852 19.7685185 615.6614753 488.040681 -48.480962428 7.4700091985 0.01981481 19.8148148 601.8150232 487.476146 -51.5038075429 7.4874624911 0.01986111 19.8611111 587.7852523 486.912264 -54.4639035430 7.5049157836 0.01990741 19.9074074 573.5764364 486.349034 -57.3576436431 7.5223690761 0.0199537 19.9537037 559.1929035 485.786455 -60.1815023432 7.5398223686 0.02 20 544.639035 485.224528 -62.9320391433 7.5572756611 0.0200463 20.0462963 529.9192642 484.66325 -65.6059029434 7.5747289537 0.02009259 20.0925926 515.0380749 484.102622 -68.199836435 7.5921822462 0.02013889 20.1388889 500 483.542642 -70.7106781436 7.6096355387 0.02018519 20.1851852 484.8096202 482.98331 -73.1353702437 7.6270888312 0.02023148 20.2314815 469.4715628 482.424625 -75.470958438 7.6445421237 0.02027778 20.2777778 453.9904997 481.866586 -77.7145961439 7.6619954163 0.02032407 20.3240741 438.3711468 481.309193 -79.863551440 7.6794487088 0.02037037 20.3703704 422.6182617 480.752444 -81.9152044441 7.6969020013 0.02041667 20.4166667 406.7366431 480.19634 -83.8670568442 7.7143552938 0.02046296 20.462963 390.7311285 479.640878 -85.7167301443 7.7318085863 0.02050926 20.5092593 374.6065934 479.086059 -87.4619707444 7.7492618789 0.02055556 20.5555556 358.3679495 478.531883 -89.1006524445 7.7667151714 0.02060185 20.6018519 342.0201433 477.978347 -90.6307787446 7.7841684639 0.02064815 20.6481481 325.5681545 477.425451 -92.0504853447 7.8016217564 0.02069444 20.6944444 309.0169944 476.873195 -93.3580426448 7.8190750489 0.02074074 20.7407407 292.3717047 476.321578 -94.5518576449 7.8365283415 0.02078704 20.787037 275.6373558 475.770598 -95.6304756450 7.853981634 0.02083333 20.8333333 258.8190451 475.220256 -96.5925826451 7.8714349265 0.02087963 20.8796296 241.9218956 474.670551 -97.4370065452 7.888888219 0.02092593 20.9259259 224.9510543 474.121482 -98.1627183453 7.9063415115 0.02097222 20.9722222 207.9116908 473.573048 -98.7688341454 7.9237948041 0.02101852 21.0185185 190.8089954 473.025248 -99.2546152455 7.9412480966 0.02106481 21.0648148 173.6481777 472.478081 -99.6194698456 7.9587013891 0.02111111 21.1111111 156.434465 471.931548 -99.8629535457 7.9761546816 0.02115741 21.1574074 139.173101 471.385647 -99.9847695458 7.9936079741 0.0212037 21.2037037 121.8693434 470.840377 -99.9847695459 8.0110612667 0.02125 21.25 104.5284633 470.295738 -99.8629535460 8.0285145592 0.0212963 21.2962963 87.15574275 469.75173 -99.6194698461 8.0459678517 0.02134259 21.3425926 69.75647374 469.20835 -99.2546152462 8.0634211442 0.02138889 21.3888889 52.33595624 468.665599 -98.7688341463 8.0808744367 0.02143519 21.4351852 34.8994967 468.123476 -98.1627183464 8.0983277293 0.02148148 21.4814815 17.45240644 467.58198 -97.4370065465 8.1157810218 0.02152778 21.5277778 3.06162E-13 467.04111 -96.5925826466 8.1332343143 0.02157407 21.5740741 -17.4524064 466.500866 -95.6304756467 8.1506876068 0.02162037 21.6203704 -34.8994967 465.961246 -94.5518576468 8.1681408993 0.02166667 21.6666667 -52.3359562 465.422251 -93.3580426

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469 8.1855941919 0.02171296 21.712963 -69.7564737 464.88388 -92.0504853470 8.2030474844 0.02175926 21.7592593 -87.1557427 464.346131 -90.6307787471 8.2205007769 0.02180556 21.8055556 -104.528463 463.809004 -89.1006524472 8.2379540694 0.02185185 21.8518519 -121.869343 463.272499 -87.4619707473 8.2554073619 0.02189815 21.8981481 -139.173101 462.736614 -85.7167301474 8.2728606545 0.02194444 21.9444444 -156.434465 462.201349 -83.8670568475 8.290313947 0.02199074 21.9907407 -173.648178 461.666703 -81.9152044476 8.3077672395 0.02203704 22.037037 -190.808995 461.132676 -79.863551477 8.325220532 0.02208333 22.0833333 -207.911691 460.599266 -77.7145961478 8.3426738245 0.02212963 22.1296296 -224.951054 460.066474 -75.470958479 8.3601271171 0.02217593 22.1759259 -241.921896 459.534297 -73.1353702480 8.3775804096 0.02222222 22.2222222 -258.819045 459.002737 -70.7106781481 8.3950337021 0.02226852 22.2685185 -275.637356 458.471791 -68.199836482 8.4124869946 0.02231481 22.3148148 -292.371705 457.941459 -65.6059029483 8.4299402871 0.02236111 22.3611111 -309.016994 457.411741 -62.9320391484 8.4473935797 0.02240741 22.4074074 -325.568154 456.882635 -60.1815023485 8.4648468722 0.0224537 22.4537037 -342.020143 456.354142 -57.3576436486 8.4823001647 0.0225 22.5 -358.36795 455.82626 -54.4639035487 8.4997534572 0.0225463 22.5462963 -374.606593 455.298988 -51.5038075488 8.5172067497 0.02259259 22.5925926 -390.731128 454.772327 -48.480962489 8.5346600423 0.02263889 22.6388889 -406.736643 454.246274 -45.39905490 8.5521133348 0.02268519 22.6851852 -422.618262 453.72083 -42.2618262491 8.5695666273 0.02273148 22.7314815 -438.371147 453.195994 -39.0731128492 8.5870199198 0.02277778 22.7777778 -453.9905 452.671765 -35.836795493 8.6044732123 0.02282407 22.8240741 -469.471563 452.148143 -32.5568154494 8.6219265049 0.02287037 22.8703704 -484.80962 451.625126 -29.2371705495 8.6393797974 0.02291667 22.9166667 -500 451.102714 -25.8819045496 8.6568330899 0.02296296 22.962963 -515.038075 450.580906 -22.4951054497 8.6742863824 0.02300926 23.0092593 -529.919264 450.059703 -19.0808995498 8.6917396749 0.02305556 23.0555556 -544.639035 449.539101 -15.6434465499 8.7091929675 0.02310185 23.1018519 -559.192903 449.019102 -12.1869343500 8.72664626 0.02314815 23.1481481 -573.576436 448.499705 -8.71557427501 8.7440995525 0.02319444 23.1944444 -587.785252 447.980909 -5.23359562502 8.761552845 0.02324074 23.2407407 -601.815023 447.462712 -1.74524064503 8.7790061375 0.02328704 23.287037 -615.661475 446.945115 1.74524064504 8.7964594301 0.02333333 23.3333333 -629.320391 446.428117 5.23359562505 8.8139127226 0.02337963 23.3796296 -642.78761 445.911716 8.71557427506 8.8313660151 0.02342593 23.4259259 -656.059029 445.395913 12.1869343507 8.8488193076 0.02347222 23.4722222 -669.130606 444.880707 15.6434465508 8.8662726001 0.02351852 23.5185185 -681.99836 444.366097 19.0808995509 8.8837258927 0.02356481 23.5648148 -694.65837 443.852082 22.4951054510 8.9011791852 0.02361111 23.6111111 -707.106781 443.338661 25.8819045511 8.9186324777 0.02365741 23.6574074 -719.3398 442.825834 29.2371705512 8.9360857702 0.0237037 23.7037037 -731.353702 442.313601 32.5568154513 8.9535390627 0.02375 23.75 -743.144825 441.80196 35.836795514 8.9709923553 0.0237963 23.7962963 -754.70958 441.290911 39.0731128515 8.9884456478 0.02384259 23.8425926 -766.044443 440.780453 42.2618262516 9.0058989403 0.02388889 23.8888889 -777.145961 440.270586 45.39905

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517 9.0233522328 0.02393519 23.9351852 -788.010754 439.761308 48.480962518 9.0408055253 0.02398148 23.9814815 -798.63551 439.25262 51.5038075519 9.0582588179 0.02402778 24.0277778 -809.016994 438.744519 54.4639035520 9.0757121104 0.02407407 24.0740741 -819.152044 438.237007 57.3576436521 9.0931654029 0.02412037 24.1203704 -829.037573 437.730082 60.1815023522 9.1106186954 0.02416667 24.1666667 -838.670568 437.223743 62.9320391523 9.1280719879 0.02421296 24.212963 -848.048096 436.717989 65.6059029524 9.1455252805 0.02425926 24.2592593 -857.167301 436.212821 68.199836525 9.162978573 0.02430556 24.3055556 -866.025404 435.708237 70.7106781526 9.1804318655 0.02435185 24.3518519 -874.619707 435.204237 73.1353702527 9.197885158 0.02439815 24.3981481 -882.947593 434.70082 75.470958528 9.2153384505 0.02444444 24.4444444 -891.006524 434.197985 77.7145961529 9.2327917431 0.02449074 24.4907407 -898.794046 433.695732 79.863551530 9.2502450356 0.02453704 24.537037 -906.307787 433.194059 81.9152044531 9.2676983281 0.02458333 24.5833333 -913.545458 432.692967 83.8670568532 9.2851516206 0.02462963 24.6296296 -920.504853 432.192455 85.7167301533 9.3026049131 0.02467593 24.6759259 -927.183855 431.692522 87.4619707534 9.3200582056 0.02472222 24.7222222 -933.580426 431.193167 89.1006524535 9.3375114982 0.02476852 24.7685185 -939.692621 430.694389 90.6307787536 9.3549647907 0.02481481 24.8148148 -945.518576 430.196189 92.0504853537 9.3724180832 0.02486111 24.8611111 -951.056516 429.698564 93.3580426538 9.3898713757 0.02490741 24.9074074 -956.304756 429.201516 94.5518576539 9.4073246682 0.0249537 24.9537037 -961.261696 428.705042 95.6304756540 9.4247779608 0.025 25 -965.925826 428.209143 96.5925826541 9.4422312533 0.0250463 25.0462963 -970.295726 427.713817 97.4370065542 9.4596845458 0.02509259 25.0925926 -974.370065 427.219064 98.1627183543 9.4771378383 0.02513889 25.1388889 -978.147601 426.724884 98.7688341544 9.4945911308 0.02518519 25.1851852 -981.627183 426.231275 99.2546152545 9.5120444234 0.02523148 25.2314815 -984.807753 425.738237 99.6194698546 9.5294977159 0.02527778 25.2777778 -987.688341 425.24577 99.8629535547 9.5469510084 0.02532407 25.3240741 -990.268069 424.753872 99.9847695548 9.5644043009 0.02537037 25.3703704 -992.546152 424.262543 99.9847695549 9.5818575934 0.02541667 25.4166667 -994.521895 423.771782 99.8629535550 9.599310886 0.02546296 25.462963 -996.194698 423.281589 99.6194698

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ONDA FUNDAMENTAL Fundamental sin el desfase

Page 71: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ARMÓNICOS

FUNDAMENTAL 2do Armónico 3er Armónico 4to Armónico 5to Armónico

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ONDA FUNDAMENTAL Fundamental sin el desfase

Page 72: TAREA 3-Muestro de señales eléctricas para relés numéricos

Parámetros Expo. Decre800

0.04-25

3ro Armón. 4to Armón. 5to Armón. Fund. + DC Fund.+DC+Arm. Pares SIN 15 gra MUESTRAS386.370331 38.6370331 135.229616 1765.925826 1901.15544196954 1000

391.25904 39.2650873 137.873085 1769.370336 1906.0724297966 999.847695395.075336 39.7018461 139.467258 1772.520355 1910.38491903799 999.390827397.808758 39.9451814 140 1775.37464 1914.0886553598 998.629535399.451814 39.9939078 139.467258 1777.93204 1917.18056288731 997.56405

400 39.8477879 137.873085 1780.191493 1919.65875123094 996.194698399.451814 39.5075336 135.229616 1782.152031 1921.52251768665 994.521895397.808758 38.9748026 131.556967 1783.812772 1922.77234460449 992.546152395.075336 38.2521902 126.88309 1785.172932 1923.40989194115 990.268069

391.25904 37.3432171 121.243557 1786.231815 1923.43798503562 987.688341386.370331 36.2523115 114.681286 1786.988816 1922.86059766904 984.807753380.422607 34.9847883 107.246222 1787.443427 1921.68283049235 981.627183373.432171 33.5468227 98.9949494 1787.595228 1919.91088492704 978.147601365.418183 31.9454204 89.9902654 1787.443894 1917.55203266537 974.370065

356.40261 30.1883832 80.3007011 1786.989191 1914.61458091756 970.295726346.410162 28.2842712 70 1786.23098 1911.10783357271 965.925826335.468227 26.2423612 59.1665566 1785.169212 1907.04204846004 961.261696323.606798 24.0726009 47.8828201 1783.803932 1902.42839091469 956.304756310.858385 21.7855614 36.2346663 1782.13528 1897.27888386989 951.056516

297.25793 19.3923848 24.3107449 1780.163485 1891.6063547134 945.518576282.842712 16.9047305 12.201804 1777.88887 1885.42437916099 939.692621267.652243 14.334718 -5.36E-14 1775.311852 1878.74722241365 933.580426251.728156 11.6948682 -12.201804 1772.432939 1871.5897778777 927.183855235.114101 8.99804217 -24.3107449 1769.252731 1863.967503738 920.504853217.855614 6.2573786 -36.2346663 1765.771922 1855.89635768437 913.545458

200 3.48622971 -47.8828201 1761.991296 1847.39273009929 906.307787181.5962 0.69809626 -59.1665566 1757.911729 1838.47337602225 898.794046

162.694657 -2.09343825 -70 1753.534188 1829.15534621086 891.006524143.34718 -4.87477374 -80.3007011 1748.859733 1819.4559176228 882.947593

123.606798 -7.63235982 -89.9902654 1743.889513 1809.39252364497 874.619707103.527618 -10.3527618 -98.9949494 1738.624768 1798.98268439646 866.02540483.1646763 -13.0227262 -107.246222 1733.066828 1788.24393743121 857.167301

62.573786 -15.6292451 -114.681286 1727.217111 1777.19376916354 848.04809641.8113853 -18.15962 -121.243557 1721.077128 1765.84954733576 838.67056820.9343825 -20.601523 -126.88309 1714.648476 1754.22845484099 829.037573-6.4325E-14 -22.9430575 -131.556967 1707.932839 1742.34742520782 819.152044-20.9343825 -25.1728156 -135.229616 1700.931992 1730.22308004402 809.016994

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-41.8113853 -27.2799344 -137.873085 1693.647796 1717.87166872713 798.63551-62.573786 -29.2541481 -139.467258 1686.082197 1705.30901061768 788.010754

-83.1646763 -31.0858385 -140 1678.237229 1692.55044005851 777.145961-103.527618 -32.7660818 -139.467258 1670.11501 1679.61075440928 766.044443-123.606798 -34.286692 -137.873085 1661.717745 1666.5041653501 754.70958

-143.34718 -35.640261 -135.229616 1653.04772 1653.24425367195 743.144825-162.694657 -36.8201941 -131.556967 1644.107306 1639.84392775397 731.353702

-181.5962 -37.820743 -126.88309 1634.898958 1626.31538590946 719.3398-200 -38.6370331 -121.243557 1625.425211 1612.67008276327 707.106781

-217.855614 -39.2650873 -114.681286 1615.688682 1598.91869980306 694.65837-235.114101 -39.7018461 -107.246222 1605.692067 1585.07112022645 681.99836-251.728156 -39.9451814 -98.9949494 1595.438143 1571.13640818468 669.130606-267.652243 -39.9939078 -89.9902654 1584.929766 1557.12279250194 656.059029-282.842712 -39.8477879 -80.3007011 1574.169869 1543.03765492713 642.78761 K

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-400 -16.9047305 89.9902654 1384.810614 1325.64405763959 422.618262-399.451814 -14.334718 98.9949494 1370.48507 1310.75130158115 406.736643-397.808758 -11.6948682 107.246222 1355.968821 1295.79299034784 390.731128-395.075336 -8.99804217 114.681286 1341.266027 1280.7641771815 374.606593

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-356.40261 7.63235982 139.467258 1249.371791 1188.80431492309 275.637356-346.410162 10.3527618 140 1233.484285 1173.12636827107 258.819045-335.468227 13.0227262 139.467258 1217.445456 1157.33281179945 241.921896-323.606798 15.6292451 137.873085 1201.259931 1141.4182178242 224.951054-310.858385 18.15962 135.229616 1184.93238 1125.37740418661 207.911691

-297.25793 20.601523 131.556967 1168.467519 1109.20549123002 190.808995-282.842712 22.9430575 126.88309 1151.870104 1092.8979570925 173.648178-267.652243 25.1728156 121.243557 1135.144932 1076.45069102728 156.434465-251.728156 27.2799344 114.681286 1118.29684 1059.86004447292 139.173101-235.114101 29.2541481 107.246222 1101.330702 1043.12287960667 121.869343-217.855614 31.0858385 98.9949494 1084.251429 1026.23661512709 104.528463

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-200 32.7660818 89.9902654 1067.063966 1009.19926902607 87.1557427-181.5962 34.286692 80.3007011 1049.773291 992.009498125605 69.7564737

-162.694657 35.640261 70 1032.384416 974.666634170924 52.3359562-143.34718 36.8201941 59.1665566 1014.90238 957.170716288869 34.8994967

-123.606798 37.820743 47.8828201 997.3322522 939.522519638793 17.4524064-103.527618 38.6370331 36.2346663 979.6791297 921.723580102209 2.83277E-13-83.1646763 39.2650873 24.3107449 961.948134 903.776214877434 -17.4524064

-62.573786 39.7018461 12.201804 944.1444111 885.683538865915 -34.8994967-41.8113853 39.9451814 -2.0583E-13 926.2731294 867.44947675808 -52.3359562-20.9343825 39.9939078 -12.201804 908.3394781 849.078770748084 -69.75647376.37064E-13 39.8477879 -24.3107449 890.3486657 830.576983828741 -87.155742720.9343825 39.5075336 -36.2346663 872.3059185 811.950498640075 -104.52846341.8113853 38.9748026 -47.8828201 854.2164788 793.206511867224 -121.869343

62.573786 38.2521902 -59.1665566 836.0856035 774.353024205739 -139.17310183.1646763 37.3432171 -70 817.9185624 755.398825934543 -156.434465103.527618 36.2523115 -80.3007011 799.7206365 736.353478158868 -173.648178123.606798 34.9847883 -89.9902654 781.4971167 717.227289807218 -190.808995

143.34718 33.5468227 -98.9949494 763.2533018 698.031290487738 -207.911691162.694657 31.9454204 -107.246222 744.9944973 678.777199330188 -224.951054

181.5962 30.1883832 -114.681286 726.7260132 659.477389959925 -241.921896200 28.2842712 -121.243557 708.4531632 640.144851769791 -258.819045

217.855614 26.2423612 -126.88309 690.1812621 620.793147674481 -275.637356235.114101 24.0726009 -131.556967 671.9156252 601.43636854975 -292.371705251.728156 21.7855614 -135.229616 653.6615658 582.089084575613 -309.016994267.652243 19.3923848 -137.873085 635.4243943 562.766293718408 -325.568154282.842712 16.9047305 -139.467258 617.2094158 543.483367601166 -342.020143

297.25793 14.334718 -140 599.0219295 524.25599502509 -358.36795310.858385 11.6948682 -139.467258 580.8672259 505.100123417016 -374.606593323.606798 8.99804217 -137.873085 562.7505864 486.031898488422 -390.731128335.468227 6.2573786 -135.229616 544.6772806 467.067602400927 -406.736643346.410162 3.48622971 -131.556967 526.6525655 448.22359074104 -422.618262

356.40261 0.69809626 -126.88309 508.6816834 429.516228613364 -438.371147365.418183 -2.09343825 -121.243557 490.7698606 410.961826166314 -453.9905373.432171 -4.87477374 -114.681286 472.9223056 392.576573867737 -469.471563380.422607 -7.63235982 -107.246222 455.1442078 374.376477849645 -484.80962386.370331 -10.3527618 -98.9949494 437.4407356 356.377295641436 -500

391.25904 -13.0227262 -89.9902654 419.8170348 338.594472609669 -515.038075395.075336 -15.6292451 -80.3007011 402.2782275 321.043079419516 -529.919264397.808758 -18.15962 -70 384.8294099 303.737750828562 -544.639035399.451814 -20.601523 -59.1665566 367.4756514 286.692626117643 -559.192903

400 -22.9430575 -47.8828201 350.2219925 269.921291455901 -573.576436399.451814 -25.1728156 -36.2346663 333.0734436 253.436724488295 -587.785252397.808758 -27.2799344 -24.3107449 316.0349833 237.251241423447 -601.815023395.075336 -29.2541481 -12.201804 299.111557 221.376446887933 -615.661475

391.25904 -31.0858385 -6.0008E-14 282.3080752 205.823186800098 -629.320391386.370331 -32.7660818 12.201804 265.6294124 190.601504502158 -642.78761380.422607 -34.286692 24.3107449 249.0804053 175.72060037387 -656.059029373.432171 -35.640261 36.2346663 232.6658511 161.188795134459 -669.130606

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365.418183 -36.8201941 47.8828201 216.3905066 147.01349702187 -681.99836356.40261 -37.820743 59.1665566 200.2590865 133.201173019874 -694.65837

346.410162 -38.6370331 70 184.2762618 119.757324284123 -707.106781335.468227 -39.2650873 80.3007011 168.4466587 106.686465898117 -719.3398323.606798 -39.7018461 89.9902654 152.7748567 93.9921110691969 -731.353702310.858385 -39.9451814 98.9949494 137.2653877 81.6767598533427 -743.144825

297.25793 -39.9939078 107.246222 121.9227346 69.741892475673 -754.70958282.842712 -39.8477879 114.681286 106.7513295 58.1879672914213 -766.044443 K+1267.652243 -39.5075336 121.243557 91.75555266 47.0144234097133 -777.145961251.728156 -38.9748026 126.88309 76.93973122 36.219687979948 -788.010754235.114101 -38.2521902 131.556967 62.30813771 25.8011881180075 -798.63551217.855614 -37.3432171 135.229616 47.86498886 15.7553674270603 -809.016994

200 -36.2523115 137.873085 33.61444425 6.07770704544007 -819.152044181.5962 -34.9847883 139.467258 19.56060508 -3.23724886788213 -829.037573

162.694657 -33.5468227 140 5.707512893 -12.1958633212642 -838.670568143.34718 -31.9454204 139.467258 -7.94085162 -20.8053724838628 -848.048096

123.606798 -30.1883832 137.873085 -21.3805699 -29.0738476370796 -857.167301103.527618 -28.2842712 135.229616 -34.6077865 -37.0101532561529 -866.02540483.1646763 -26.2423612 131.556967 -47.6187107 -44.6239014129199 -874.619707

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-391.25904 39.2650873 -137.873085 -321.498007 -184.795913554618 -999.847695-395.075336 39.7018461 -139.467258 -326.322835 -188.458270361157 -999.390827-397.808758 39.9451814 -140 -330.849991 -192.135976042819 -998.629535-399.451814 39.9939078 -139.467258 -335.078328 -195.829804893619 -997.56405

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267.652243 -39.9939078 89.9902654 -215.301227 -243.108200417537 -656.059029282.842712 -39.8477879 80.3007011 -206.125631 -237.257844407675 -642.78761 K+2

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200 32.7660818 -89.9902654 246.6692888 188.80459188955 -87.1557427181.5962 34.286692 -80.3007011 262.4403183 204.676525013298 -69.7564737

162.694657 35.640261 -70 278.3113067 220.593525062253 -52.3359562143.34718 36.8201941 -59.1665566 294.2772115 236.545548086911 -34.8994967

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62.573786 39.7018461 -12.201804 358.988172 300.527299673968 34.899496741.8113853 39.9451814 -3.7728E-13 375.3520709 316.528418193144 52.335956220.9343825 39.9939078 12.201804 391.780083 332.519375664603 69.7564737-4.9011E-13 39.8477879 24.3107449 408.2669979 348.495315997079 87.1557427-20.9343825 39.5075336 36.2346663 424.8075872 364.45216733707 104.528463

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-41.8113853 38.9748026 47.8828201 441.3966066 380.386639651331 121.869343-62.573786 38.2521902 59.1665566 458.0287972 396.296217886602 139.173101

-83.1646763 37.3432171 70 474.6988872 412.179150745829 156.434465-103.527618 36.2523115 80.3007011 491.4015935 428.034435142226 173.648178-123.606798 34.9847883 89.9902654 508.1316233 443.861796414264 190.808995

-143.34718 33.5468227 98.9949494 524.8836757 459.661664405963 207.911691-162.694657 31.9454204 107.246222 541.6524435 475.435145537719 224.951054

-181.5962 30.1883832 114.681286 558.4326143 491.183991013089 241.921896-200 28.2842712 121.243557 575.2188727 506.91056132643 258.819045

-217.855614 26.2423612 126.88309 592.0059017 522.617787254996 275.637356-235.114101 24.0726009 131.556967 608.7883842 538.309127536868 292.371705-251.728156 21.7855614 135.229616 625.5610047 553.988523452856 309.016994-267.652243 19.3923848 137.873085 642.3184511 569.660350546302 325.568154-282.842712 16.9047305 139.467258 659.055416 585.329367729202 342.020143

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-391.25904 -31.0858385 3.94423E-13 966.197094 889.712205561064 629.320391-386.370331 -32.7660818 -12.201804 981.4315636 906.403655622343 642.78761-380.422607 -34.286692 -24.3107449 996.5380481 923.178243230973 656.059029-373.432171 -35.640261 -36.2346663 1011.511748 940.034692343972 669.130606-365.418183 -36.8201941 -47.8828201 1026.347905 956.970895787185 681.99836

-356.40261 -37.820743 -59.1665566 1041.041803 973.983889380941 694.65837-346.410162 -38.6370331 -70 1055.588768 991.069830238991 707.106781-335.468227 -39.2650873 -80.3007011 1069.984172 1008.22397937082 719.3398-323.606798 -39.7018461 -89.9902654 1084.223434 1025.4406886966 731.353702-310.858385 -39.9451814 -98.9949494 1098.30202 1042.71339256262 743.144825

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-200 -36.2523115 -137.873085 1191.983022 1164.4462846836 819.152044-181.5962 -34.9847883 -139.467258 1204.619166 1181.82131211799 829.037573

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-62.573786 -24.0726009 -126.88309 1276.11759 1284.60180449044 882.947593-41.8113853 -21.7855614 -121.243557 1287.278565 1301.32979836321 891.006524-20.9343825 -19.3923848 -114.681286 1298.213899 1317.89462749122 898.794046

4.4112E-13 -16.9047305 -107.246222 1308.92007 1334.27716602435 906.30778720.9343825 -14.334718 -98.9949494 1319.393624 1350.45795585347 913.54545841.8113853 -11.6948682 -89.9902654 1329.631178 1366.4172714409 920.504853

62.573786 -8.99804217 -80.3007011 1339.629421 1382.13518650751 927.18385583.1646763 -6.2573786 -70 1349.385117 1397.59164227346 933.580426103.527618 -3.48622971 -59.1665566 1358.895103 1412.76651694131 939.692621123.606798 -0.69809626 -47.8828201 1368.15629 1427.63969610389 945.518576

143.34718 2.09343825 -36.2346663 1377.165666 1442.19114375443 951.056516162.694657 4.87477374 -24.3107449 1385.920297 1456.40097357291 956.304756

181.5962 7.63235982 -12.201804 1394.417324 1470.2495201609 961.261696200 10.3527618 8.58119E-14 1402.65397 1483.71740989678 965.925826

217.855614 13.0227262 12.201804 1410.627535 1496.78563108467 970.295726235.114101 15.6292451 24.3107449 1418.3354 1509.43560307315 974.370065251.728156 18.15962 36.2346663 1425.775028 1521.64924402458 978.147601267.652243 20.601523 47.8828201 1432.943963 1533.40903702143 981.627183282.842712 22.9430575 59.1665566 1439.839832 1544.69809420391 984.807753

297.25793 25.1728156 70 1446.460346 1555.50021864193 987.688341310.858385 27.2799344 80.3007011 1452.803299 1565.79996365497 990.268069323.606798 29.2541481 89.9902654 1458.866571 1575.5826893051 992.546152335.468227 31.0858385 98.9949494 1464.648125 1584.83461580167 994.521895346.410162 32.7660818 107.246222 1470.146013 1593.54287357029 996.194698

356.40261 34.286692 114.681286 1475.358372 1601.69554975476 997.56405365.418183 35.640261 121.243557 1480.283427 1609.28173093666 998.629535373.432171 36.8201941 126.88309 1484.91949 1616.29154187563 999.390827380.422607 37.820743 131.556967 1489.264961 1622.71618009156 999.847695386.370331 38.6370331 135.229616 1493.31833 1628.54794612989 1000

391.25904 39.2650873 137.873085 1497.078176 1633.78026937098 999.847695395.075336 39.7018461 139.467258 1500.543165 1638.40772926598 999.390827397.808758 39.9451814 140 1503.712056 1642.42607190292 998.629535399.451814 39.9939078 139.467258 1506.583699 1645.83222182852 997.56405

400 39.8477879 137.873085 1509.157031 1648.62428907415 996.194698399.451814 39.5075336 135.229616 1511.431084 1650.80157135626 994.521895397.808758 38.9748026 131.556967 1513.404979 1652.36455144486 992.546152395.075336 38.2521902 126.88309 1515.07793 1653.31488971615 990.268069

391.25904 37.3432171 121.243557 1516.449241 1653.65541192814 987.688341386.370331 36.2523115 114.681286 1517.518311 1653.39009228048 984.807753380.422607 34.9847883 107.246222 1518.284628 1652.52403184217 981.627183373.432171 33.5468227 98.9949494 1518.747776 1651.06343245224 978.147601

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365.418183 31.9454204 89.9902654 1518.907427 1649.01556622005 974.370065356.40261 30.1883832 80.3007011 1518.763351 1646.38874077239 970.295726

346.410162 28.2842712 70 1518.315407 1643.1922604145 965.925826335.468227 26.2423612 59.1665566 1517.563547 1639.43638339121 961.261696323.606798 24.0726009 47.8828201 1516.507817 1635.13227545281 956.304756310.858385 21.7855614 36.2346663 1515.148356 1630.29195994721 951.056516

297.25793 19.3923848 24.3107449 1513.485395 1624.92826467636 945.518576282.842712 16.9047305 12.201804 1511.519257 1619.05476576974 939.692621267.652243 14.334718 -6.8667E-14 1509.250358 1612.68572884157 933.580426251.728156 11.6948682 -12.201804 1506.679209 1605.83604771092 927.183855235.114101 8.99804217 -24.3107449 1503.806409 1598.52118097495 920.504853217.855614 6.2573786 -36.2346663 1500.632651 1590.75708673525 913.545458

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162.694657 -2.09343825 -70 1489.313943 1564.9351012757 891.006524143.34718 -4.87477374 -80.3007011 1484.945122 1555.54130625093 882.947593

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-391.25904 -26.2423612 47.8828201 1186.100018 1130.6204862811 484.80962-395.075336 -24.0726009 59.1665566 1172.871538 1116.24212198029 469.471563-397.808758 -21.7855614 70 1159.435973 1101.81361669873 453.9905-399.451814 -19.3923848 80.3007011 1145.797241 1087.33174324131 438.371147

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267.652243 19.3923848 -137.873085 395.1274061 322.469305544731 -325.568154282.842712 16.9047305 -139.467258 377.1903883 303.464340053706 -342.020143

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391.25904 -31.0858385 5.14612E-13 47.50963126 -28.9752571742943 -629.320391386.370331 -32.7660818 12.201804 31.10256873 -43.9253392203223 -642.78761380.422607 -34.286692 24.3107449 14.82484761 -58.5349572669934 -656.059029373.432171 -35.640261 36.2346663 -1.31873431 -72.7957902316741 -669.130606365.418183 -36.8201941 47.8828201 -17.3234199 -86.7004295134224 -681.99836

356.40261 -37.820743 59.1665566 -33.1844943 -100.242407765899 -694.65837346.410162 -38.6370331 70 -48.8972859 -113.416223471294 -707.106781335.468227 -39.2650873 80.3007011 -64.4571684 -126.21736118438 -719.3398323.606798 -39.7018461 89.9902654 -79.8595617 -138.642307336495 -731.353702310.858385 -39.9451814 98.9949494 -95.0999336 -150.688561510763 -743.144825

297.25793 -39.9939078 107.246222 -110.173801 -162.354643121586 -754.70958282.842712 -39.8477879 114.681286 -125.076731 -173.640093453665 -766.044443267.652243 -39.5075336 121.243557 -139.804344 -184.54547303823 -777.145961251.728156 -38.9748026 126.88309 -154.352311 -195.07235436665 -788.010754235.114101 -38.2521902 131.556967 -168.71636 -205.223309964227 -798.63551217.855614 -37.3432171 135.229616 -182.892274 -215.001895869394 -809.016994

200 -36.2523115 137.873085 -196.875893 -224.41263058583 -819.152044181.5962 -34.9847883 139.467258 -210.663116 -233.460969596994 -829.037573

162.694657 -33.5468227 140 -224.249899 -242.153275554086 -838.670568143.34718 -31.9454204 139.467258 -237.632263 -250.496784269516 -848.048096

123.606798 -30.1883832 137.873085 -250.806289 -258.499566668355 -857.167301103.527618 -28.2842712 135.229616 -263.76812 -266.170486869922 -866.02540483.1646763 -26.2423612 131.556967 -276.513966 -273.519156590544 -874.619707

62.573786 -24.0726009 126.88309 -289.040101 -280.555886076495 -882.94759341.8113853 -21.7855614 121.243557 -301.342865 -287.29163179305 -891.00652420.9343825 -19.3923848 114.681286 -313.418669 -293.737941111512 -898.794046-2.9416E-13 -16.9047305 107.246222 -325.26399 -299.90689425078 -906.307787-20.9343825 -14.334718 98.9949494 -336.875376 -305.811043743509 -913.545458

Page 83: TAREA 3-Muestro de señales eléctricas para relés numéricos

-41.8113853 -11.6948682 89.9902654 -348.249446 -311.463351709137 -920.504853-62.573786 -8.99804217 80.3007011 -359.382891 -316.877125226884 -927.183855

-83.1646763 -6.2573786 70 -370.272475 -322.065950111278 -933.580426-103.527618 -3.48622971 59.1665566 -380.915037 -327.043623400728 -939.692621-123.606798 -0.69809626 47.8828201 -391.307491 -331.824084876159 -945.518576

-143.34718 2.09343825 36.2346663 -401.446825 -336.421347931711 -951.056516-162.694657 4.87477374 24.3107449 -411.330107 -340.849430122861 -956.304756

-181.5962 7.63235982 12.201804 -420.95448 -345.122283719248 -961.261696-200 10.3527618 -8.6657E-17 -430.317167 -349.253726589655 -965.925826

-217.855614 13.0227262 -12.201804 -439.41547 -353.257373745395 -970.295726-235.114101 15.6292451 -24.3107449 -448.246773 -357.146569865374 -974.370065-251.728156 18.15962 -36.2346663 -456.808539 -360.934323121712 -978.147601-267.652243 20.601523 -47.8828201 -465.098315 -364.633240618814 -981.627183-282.842712 22.9430575 -59.1665566 -473.113728 -368.255465751287 -984.807753

-297.25793 25.1728156 -70 -480.85249 -371.812617777121 -987.688341-310.858385 27.2799344 -80.3007011 -488.312398 -375.315733892201 -990.268069-323.606798 29.2541481 -89.9902654 -495.491333 -378.775214080389 -992.546152-335.468227 31.0858385 -98.9949494 -502.38726 -382.200769000358 -994.521895-346.410162 32.7660818 -107.246222 -508.998232 -385.601371155978 -996.194698

-356.40261 34.286692 -114.681286 -515.322387 -388.985209581524 -997.56405-365.418183 35.640261 -121.243557 -521.357952 -392.359648256277 -998.629535-373.432171 36.8201941 -126.88309 -527.10324 -395.731188445445 -999.390827-380.422607 37.820743 -131.556967 -532.556654 -399.105435145601 -999.847695-386.370331 38.6370331 -135.229616 -537.716683 -402.487067793407 -1000

-391.25904 39.2650873 -137.873085 -542.581909 -405.879815376058 -999.847695-395.075336 39.7018461 -139.467258 -547.151 -409.28643606096 -999.390827-397.808758 39.9451814 -140 -551.422717 -412.70870144064 -998.629535-399.451814 39.9939078 -139.467258 -555.395908 -416.14738546693 -997.56405

-400 39.8477879 -137.873085 -559.069516 -419.60225812611 -996.194698-399.451814 39.5075336 -135.229616 -562.442571 -423.072083884153 -994.521895-397.808758 38.9748026 -131.556967 -565.514197 -426.554624908477 -992.546152-395.075336 38.2521902 -126.88309 -568.283609 -430.046649049882 -990.268069

-391.25904 37.3432171 -121.243557 -570.750113 -433.54394254568 -987.688341-386.370331 36.2523115 -114.681286 -572.913109 -437.041327382577 -984.807753

0 0.005 0.01 0.015 0.02 0.025 0.030

100

200

300

400

500

600

700

800

900

COMPONENTE DC

COMPONENTE DC

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ONDA FUNDAMENTAL Fundamental sin el desfase

Page 84: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.030

100

200

300

400

500

600

700

800

900

COMPONENTE DC

COMPONENTE DC

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ARMÓNICOS

FUNDAMENTAL 2do Armónico 3er Armónico 4to Armónico 5to Armónico

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ONDA FUNDAMENTAL Fundamental sin el desfase

Page 85: TAREA 3-Muestro de señales eléctricas para relés numéricos

Reconstrucción de la onda fundamental [A]Y X V_PICO TAN^-1 45° ÁNG.[Rad] ÁNG.[Grad.]

984.807753 173.648178 1000 1.3962634 0.78539816 0.61086524 35Reconstrucción de la onda fundamental + Componente DC [B]

Y X V_PICO TAN^-1 45° ÁNG.[Rad] ÁNG.[Grad.]989.773936 178.123081 1005.67404 1.39273884 0.78539816 0.60734068 34.7980576

Reconstrucción de la onda fundamental + Componente DC + Armónicos pares[C]Y X V_PICO TAN^-1 45° ÁNG.[Rad] ÁNG.[Grad.]

989.773936 178.123081 1005.67404 1.39273884 0.78539816 0.60734068 34.7980576

Recons [A] Recons [B] Recons [C]819.152044 825.8279 825.8279809.016994 815.685771 815.685771

798.63551 805.295176 805.295176788.010754 794.65928 794.65928777.145961 783.781323 783.781323766.044443 772.664619 772.664619

754.70958 761.312553 761.312553743.144825 749.728585 749.728585731.353702 737.916242 737.916242

719.3398 725.879122 725.879122707.106781 713.620893 713.620893

694.65837 701.145288 701.145288681.99836 688.456107 688.456107

669.130606 675.557215 675.557215656.059029 662.452543 662.452543

642.78761 649.146081 649.146081629.320391 635.641883 635.641883615.661475 621.944062 621.944062601.815023 608.056791 608.056791587.785252 593.9843 593.9843573.576436 579.730876 579.730876559.192903 565.30086 565.30086544.639035 550.698647 550.698647529.919264 535.928687 535.928687515.038075 520.995478 520.995478

500 505.903568 505.903568484.80962 490.657555 490.657555

469.471563 475.262084 475.262084453.9905 459.721842 459.721842

438.371147 444.041565 444.041565422.618262 428.226029 428.226029406.736643 412.280051 412.280051390.731128 396.208488 396.208488374.606593 380.016237 380.016237

358.36795 363.708229 363.708229342.020143 347.289431 347.289431325.568154 330.764846 330.764846

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Onda fundamental

ONDA FUNDAMENTAL Fundamental sin el desfase

𝑉[𝐴]=1000cos(377+35°)𝑉[𝐵]=1005,5cos(377+37,8°)𝑉[𝐵]=1005,2cos(377+40,8°)

𝑉[𝐵]=1000sen(377+125°)𝑉[𝐵]=1005,5sen(377+127,8°)𝑉[𝐵]=1005,2sen(377+130,8°)

Page 86: TAREA 3-Muestro de señales eléctricas para relés numéricos

309.016994 314.139507 314.139507292.371705 297.418478 297.418478275.637356 280.606853 280.606853258.819045 263.709751 263.709751241.921896 246.732322 246.732322224.951054 229.679735 229.679735207.911691 212.557186 212.557186190.808995 195.369889 195.369889173.648178 178.123081 178.123081156.434465 160.822015 160.822015139.173101 143.471961 143.471961121.869343 126.078204 126.078204104.528463 108.646043 108.64604387.1557427 91.1807865 91.180786569.7564737 73.6877558 73.687755852.3359562 56.172279 56.17227934.8994967 38.6396917 38.639691717.4524064 21.0953343 21.0953343

1.22465E-13 3.54455104 3.54455104-17.4524064 -14.0073119 -14.0073119-34.8994967 -31.5549081 -31.5549081-52.3359562 -49.0928923 -49.0928923-69.7564737 -66.6159224 -66.6159224-87.1557427 -84.1186606 -84.1186606-104.528463 -101.595775 -101.595775-121.869343 -119.041943 -119.041943-139.173101 -136.45185 -136.45185-156.434465 -153.820192 -153.820192-173.648178 -171.141678 -171.141678-190.808995 -188.411034 -188.411034-207.911691 -205.622997 -205.622997-224.951054 -222.772326 -222.772326-241.921896 -239.853796 -239.853796-258.819045 -256.862205 -256.862205-275.637356 -273.79237 -273.79237-292.371705 -290.639136 -290.639136-309.016994 -307.397371 -307.397371-325.568154 -324.061969 -324.061969-342.020143 -340.627855 -340.627855

-358.36795 -357.089982 -357.089982-374.606593 -373.443336 -373.443336-390.731128 -389.682936 -389.682936-406.736643 -405.803834 -405.803834-422.618262 -421.801121 -421.801121-438.371147 -437.669923 -437.669923

-453.9905 -453.405406 -453.405406-469.471563 -469.002778 -469.002778

-484.80962 -484.457287 -484.457287

Page 87: TAREA 3-Muestro de señales eléctricas para relés numéricos

-500 -499.764226 -499.764226-515.038075 -514.918931 -514.918931-529.919264 -529.916788 -529.916788-544.639035 -544.753226 -544.753226-559.192903 -559.423728 -559.423728-573.576436 -573.923823 -573.923823-587.785252 -588.249096 -588.249096-601.815023 -602.395182 -602.395182-615.661475 -616.357773 -616.357773-629.320391 -630.132616 -630.132616

-642.78761 -643.715514 -643.715514-656.059029 -657.10233 -657.10233-669.130606 -670.288986 -670.288986

-681.99836 -683.271466 -683.271466-694.65837 -696.045814 -696.045814

-707.106781 -708.608141 -708.608141-719.3398 -720.954618 -720.954618

-731.353702 -733.081486 -733.081486-743.144825 -744.98505 -744.98505

-754.70958 -756.661684 -756.661684-766.044443 -768.107832 -768.107832-777.145961 -779.320006 -779.320006-788.010754 -790.294793 -790.294793

-798.63551 -801.028847 -801.028847-809.016994 -811.518901 -811.518901-819.152044 -821.761758 -821.761758-829.037573 -831.754299 -831.754299-838.670568 -841.493479 -841.493479-848.048096 -850.976332 -850.976332-857.167301 -860.19997 -860.19997-866.025404 -869.161582 -869.161582-874.619707 -877.858439 -877.858439-882.947593 -886.287892 -886.287892-891.006524 -894.447373 -894.447373-898.794046 -902.334397 -902.334397-906.307787 -909.946561 -909.946561-913.545458 -917.281546 -917.281546-920.504853 -924.337119 -924.337119-927.183855 -931.111129 -931.111129-933.580426 -937.601514 -937.601514-939.692621 -943.806297 -943.806297-945.518576 -949.723587 -949.723587-951.056516 -955.351582 -955.351582-956.304756 -960.688568 -960.688568-961.261696 -965.732918 -965.732918-965.925826 -970.483097 -970.483097-970.295726 -974.937658 -974.937658-974.370065 -979.095243 -979.095243

Page 88: TAREA 3-Muestro de señales eléctricas para relés numéricos

-978.147601 -982.954586 -982.954586-981.627183 -986.514512 -986.514512-984.807753 -989.773936 -989.773936-987.688341 -992.731865 -992.731865-990.268069 -995.387398 -995.387398-992.546152 -997.739727 -997.739727-994.521895 -999.788134 -999.788134-996.194698 -1001.532 -1001.532

-997.56405 -1002.97078 -1002.97078-998.629535 -1004.10405 -1004.10405-999.390827 -1004.93147 -1004.93147-999.847695 -1005.45276 -1005.45276

-1000 -1005.66779 -1005.66779-999.847695 -1005.57649 -1005.57649-999.390827 -1005.17887 -1005.17887-998.629535 -1004.47507 -1004.47507

-997.56405 -1003.46529 -1003.46529-996.194698 -1002.14985 -1002.14985-994.521895 -1000.52915 -1000.52915-992.546152 -998.603671 -998.603671-990.268069 -996.37401 -996.37401-987.688341 -993.840844 -993.840844-984.807753 -991.004945 -991.004945-981.627183 -987.867176 -987.867176-978.147601 -984.428493 -984.428493-974.370065 -980.689944 -980.689944-970.295726 -976.652667 -976.652667-965.925826 -972.317892 -972.317892-961.261696 -967.68694 -967.68694-956.304756 -962.761221 -962.761221-951.056516 -957.542235 -957.542235-945.518576 -952.031573 -952.031573-939.692621 -946.230913 -946.230913-933.580426 -940.142021 -940.142021-927.183855 -933.766754 -933.766754-920.504853 -927.107052 -927.107052-913.545458 -920.164944 -920.164944-906.307787 -912.942545 -912.942545-898.794046 -905.442055 -905.442055-891.006524 -897.665758 -897.665758-882.947593 -889.616024 -889.616024-874.619707 -881.295304 -881.295304-866.025404 -872.706133 -872.706133-857.167301 -863.851127 -863.851127-848.048096 -854.732984 -854.732984-838.670568 -845.354481 -845.354481-829.037573 -835.718474 -835.718474-819.152044 -825.8279 -825.8279

Page 89: TAREA 3-Muestro de señales eléctricas para relés numéricos

-809.016994 -815.685771 -815.685771-798.63551 -805.295176 -805.295176

-788.010754 -794.65928 -794.65928-777.145961 -783.781323 -783.781323-766.044443 -772.664619 -772.664619

-754.70958 -761.312553 -761.312553-743.144825 -749.728585 -749.728585-731.353702 -737.916242 -737.916242

-719.3398 -725.879122 -725.879122-707.106781 -713.620893 -713.620893

-694.65837 -701.145288 -701.145288-681.99836 -688.456107 -688.456107

-669.130606 -675.557215 -675.557215-656.059029 -662.452543 -662.452543

-642.78761 -649.146081 -649.146081-629.320391 -635.641883 -635.641883-615.661475 -621.944062 -621.944062-601.815023 -608.056791 -608.056791-587.785252 -593.9843 -593.9843-573.576436 -579.730876 -579.730876-559.192903 -565.30086 -565.30086-544.639035 -550.698647 -550.698647-529.919264 -535.928687 -535.928687-515.038075 -520.995478 -520.995478

-500 -505.903568 -505.903568-484.80962 -490.657555 -490.657555

-469.471563 -475.262084 -475.262084-453.9905 -459.721842 -459.721842

-438.371147 -444.041565 -444.041565-422.618262 -428.226029 -428.226029-406.736643 -412.280051 -412.280051-390.731128 -396.208488 -396.208488-374.606593 -380.016237 -380.016237

-358.36795 -363.708229 -363.708229-342.020143 -347.289431 -347.289431-325.568154 -330.764846 -330.764846-309.016994 -314.139507 -314.139507-292.371705 -297.418478 -297.418478-275.637356 -280.606853 -280.606853-258.819045 -263.709751 -263.709751-241.921896 -246.732322 -246.732322-224.951054 -229.679735 -229.679735-207.911691 -212.557186 -212.557186-190.808995 -195.369889 -195.369889-173.648178 -178.123081 -178.123081-156.434465 -160.822015 -160.822015-139.173101 -143.471961 -143.471961-121.869343 -126.078204 -126.078204

Page 90: TAREA 3-Muestro de señales eléctricas para relés numéricos

-104.528463 -108.646043 -108.646043-87.1557427 -91.1807865 -91.1807865-69.7564737 -73.6877558 -73.6877558-52.3359562 -56.172279 -56.172279-34.8994967 -38.6396917 -38.6396917-17.4524064 -21.0953343 -21.0953343-2.4493E-13 -3.54455104 -3.5445510417.4524064 14.0073119 14.007311934.8994967 31.5549081 31.554908152.3359562 49.0928923 49.092892369.7564737 66.6159224 66.615922487.1557427 84.1186606 84.1186606104.528463 101.595775 101.595775121.869343 119.041943 119.041943139.173101 136.45185 136.45185156.434465 153.820192 153.820192173.648178 171.141678 171.141678190.808995 188.411034 188.411034207.911691 205.622997 205.622997224.951054 222.772326 222.772326241.921896 239.853796 239.853796258.819045 256.862205 256.862205275.637356 273.79237 273.79237292.371705 290.639136 290.639136309.016994 307.397371 307.397371325.568154 324.061969 324.061969342.020143 340.627855 340.627855

358.36795 357.089982 357.089982374.606593 373.443336 373.443336390.731128 389.682936 389.682936406.736643 405.803834 405.803834422.618262 421.801121 421.801121438.371147 437.669923 437.669923

453.9905 453.405406 453.405406469.471563 469.002778 469.002778

484.80962 484.457287 484.457287500 499.764226 499.764226

515.038075 514.918931 514.918931529.919264 529.916788 529.916788544.639035 544.753226 544.753226559.192903 559.423728 559.423728573.576436 573.923823 573.923823587.785252 588.249096 588.249096601.815023 602.395182 602.395182615.661475 616.357773 616.357773629.320391 630.132616 630.132616

642.78761 643.715514 643.715514656.059029 657.10233 657.10233

Page 91: TAREA 3-Muestro de señales eléctricas para relés numéricos

669.130606 670.288986 670.288986681.99836 683.271466 683.271466694.65837 696.045814 696.045814

707.106781 708.608141 708.608141719.3398 720.954618 720.954618

731.353702 733.081486 733.081486743.144825 744.98505 744.98505

754.70958 756.661684 756.661684766.044443 768.107832 768.107832777.145961 779.320006 779.320006788.010754 790.294793 790.294793

798.63551 801.028847 801.028847809.016994 811.518901 811.518901819.152044 821.761758 821.761758829.037573 831.754299 831.754299838.670568 841.493479 841.493479848.048096 850.976332 850.976332857.167301 860.19997 860.19997866.025404 869.161582 869.161582874.619707 877.858439 877.858439882.947593 886.287892 886.287892891.006524 894.447373 894.447373898.794046 902.334397 902.334397906.307787 909.946561 909.946561913.545458 917.281546 917.281546920.504853 924.337119 924.337119927.183855 931.111129 931.111129933.580426 937.601514 937.601514939.692621 943.806297 943.806297945.518576 949.723587 949.723587951.056516 955.351582 955.351582956.304756 960.688568 960.688568961.261696 965.732918 965.732918965.925826 970.483097 970.483097970.295726 974.937658 974.937658974.370065 979.095243 979.095243978.147601 982.954586 982.954586981.627183 986.514512 986.514512984.807753 989.773936 989.773936987.688341 992.731865 992.731865990.268069 995.387398 995.387398992.546152 997.739727 997.739727994.521895 999.788134 999.788134996.194698 1001.532 1001.532

997.56405 1002.97078 1002.97078998.629535 1004.10405 1004.10405999.390827 1004.93147 1004.93147999.847695 1005.45276 1005.45276

Page 92: TAREA 3-Muestro de señales eléctricas para relés numéricos

1000 1005.66779 1005.66779999.847695 1005.57649 1005.57649999.390827 1005.17887 1005.17887998.629535 1004.47507 1004.47507

997.56405 1003.46529 1003.46529996.194698 1002.14985 1002.14985994.521895 1000.52915 1000.52915992.546152 998.603671 998.603671990.268069 996.37401 996.37401987.688341 993.840844 993.840844984.807753 991.004945 991.004945981.627183 987.867176 987.867176978.147601 984.428493 984.428493974.370065 980.689944 980.689944970.295726 976.652667 976.652667965.925826 972.317892 972.317892961.261696 967.68694 967.68694956.304756 962.761221 962.761221951.056516 957.542235 957.542235945.518576 952.031573 952.031573939.692621 946.230913 946.230913933.580426 940.142021 940.142021927.183855 933.766754 933.766754920.504853 927.107052 927.107052913.545458 920.164944 920.164944906.307787 912.942545 912.942545898.794046 905.442055 905.442055891.006524 897.665758 897.665758882.947593 889.616024 889.616024874.619707 881.295304 881.295304866.025404 872.706133 872.706133857.167301 863.851127 863.851127848.048096 854.732984 854.732984838.670568 845.354481 845.354481829.037573 835.718474 835.718474819.152044 825.8279 825.8279809.016994 815.685771 815.685771

798.63551 805.295176 805.295176788.010754 794.65928 794.65928777.145961 783.781323 783.781323766.044443 772.664619 772.664619

754.70958 761.312553 761.312553743.144825 749.728585 749.728585731.353702 737.916242 737.916242

719.3398 725.879122 725.879122707.106781 713.620893 713.620893

694.65837 701.145288 701.145288681.99836 688.456107 688.456107

Page 93: TAREA 3-Muestro de señales eléctricas para relés numéricos

669.130606 675.557215 675.557215656.059029 662.452543 662.452543

642.78761 649.146081 649.146081629.320391 635.641883 635.641883615.661475 621.944062 621.944062601.815023 608.056791 608.056791587.785252 593.9843 593.9843573.576436 579.730876 579.730876559.192903 565.30086 565.30086544.639035 550.698647 550.698647529.919264 535.928687 535.928687515.038075 520.995478 520.995478

500 505.903568 505.903568484.80962 490.657555 490.657555

469.471563 475.262084 475.262084453.9905 459.721842 459.721842

438.371147 444.041565 444.041565422.618262 428.226029 428.226029406.736643 412.280051 412.280051390.731128 396.208488 396.208488374.606593 380.016237 380.016237

358.36795 363.708229 363.708229342.020143 347.289431 347.289431325.568154 330.764846 330.764846309.016994 314.139507 314.139507292.371705 297.418478 297.418478275.637356 280.606853 280.606853258.819045 263.709751 263.709751241.921896 246.732322 246.732322224.951054 229.679735 229.679735207.911691 212.557186 212.557186190.808995 195.369889 195.369889173.648178 178.123081 178.123081156.434465 160.822015 160.822015139.173101 143.471961 143.471961121.869343 126.078204 126.078204104.528463 108.646043 108.64604387.1557427 91.1807865 91.180786569.7564737 73.6877558 73.687755852.3359562 56.172279 56.17227934.8994967 38.6396917 38.639691717.4524064 21.0953343 21.0953343

3.67394E-13 3.54455104 3.54455104-17.4524064 -14.0073119 -14.0073119-34.8994967 -31.5549081 -31.5549081-52.3359562 -49.0928923 -49.0928923-69.7564737 -66.6159224 -66.6159224-87.1557427 -84.1186606 -84.1186606

Page 94: TAREA 3-Muestro de señales eléctricas para relés numéricos

-104.528463 -101.595775 -101.595775-121.869343 -119.041943 -119.041943-139.173101 -136.45185 -136.45185-156.434465 -153.820192 -153.820192-173.648178 -171.141678 -171.141678-190.808995 -188.411034 -188.411034-207.911691 -205.622997 -205.622997-224.951054 -222.772326 -222.772326-241.921896 -239.853796 -239.853796-258.819045 -256.862205 -256.862205-275.637356 -273.79237 -273.79237-292.371705 -290.639136 -290.639136-309.016994 -307.397371 -307.397371-325.568154 -324.061969 -324.061969-342.020143 -340.627855 -340.627855

-358.36795 -357.089982 -357.089982-374.606593 -373.443336 -373.443336-390.731128 -389.682936 -389.682936-406.736643 -405.803834 -405.803834-422.618262 -421.801121 -421.801121-438.371147 -437.669923 -437.669923

-453.9905 -453.405406 -453.405406-469.471563 -469.002778 -469.002778

-484.80962 -484.457287 -484.457287-500 -499.764226 -499.764226

-515.038075 -514.918931 -514.918931-529.919264 -529.916788 -529.916788-544.639035 -544.753226 -544.753226-559.192903 -559.423728 -559.423728-573.576436 -573.923823 -573.923823-587.785252 -588.249096 -588.249096-601.815023 -602.395182 -602.395182-615.661475 -616.357773 -616.357773-629.320391 -630.132616 -630.132616

-642.78761 -643.715514 -643.715514-656.059029 -657.10233 -657.10233-669.130606 -670.288986 -670.288986

-681.99836 -683.271466 -683.271466-694.65837 -696.045814 -696.045814

-707.106781 -708.608141 -708.608141-719.3398 -720.954618 -720.954618

-731.353702 -733.081486 -733.081486-743.144825 -744.98505 -744.98505

-754.70958 -756.661684 -756.661684-766.044443 -768.107832 -768.107832-777.145961 -779.320006 -779.320006-788.010754 -790.294793 -790.294793

-798.63551 -801.028847 -801.028847

Page 95: TAREA 3-Muestro de señales eléctricas para relés numéricos

-809.016994 -811.518901 -811.518901-819.152044 -821.761758 -821.761758-829.037573 -831.754299 -831.754299-838.670568 -841.493479 -841.493479-848.048096 -850.976332 -850.976332-857.167301 -860.19997 -860.19997-866.025404 -869.161582 -869.161582-874.619707 -877.858439 -877.858439-882.947593 -886.287892 -886.287892-891.006524 -894.447373 -894.447373-898.794046 -902.334397 -902.334397-906.307787 -909.946561 -909.946561-913.545458 -917.281546 -917.281546-920.504853 -924.337119 -924.337119-927.183855 -931.111129 -931.111129-933.580426 -937.601514 -937.601514-939.692621 -943.806297 -943.806297-945.518576 -949.723587 -949.723587-951.056516 -955.351582 -955.351582-956.304756 -960.688568 -960.688568-961.261696 -965.732918 -965.732918-965.925826 -970.483097 -970.483097-970.295726 -974.937658 -974.937658-974.370065 -979.095243 -979.095243-978.147601 -982.954586 -982.954586-981.627183 -986.514512 -986.514512-984.807753 -989.773936 -989.773936-987.688341 -992.731865 -992.731865-990.268069 -995.387398 -995.387398-992.546152 -997.739727 -997.739727-994.521895 -999.788134 -999.788134-996.194698 -1001.532 -1001.532

-997.56405 -1002.97078 -1002.97078-998.629535 -1004.10405 -1004.10405-999.390827 -1004.93147 -1004.93147-999.847695 -1005.45276 -1005.45276

-1000 -1005.66779 -1005.66779-999.847695 -1005.57649 -1005.57649-999.390827 -1005.17887 -1005.17887-998.629535 -1004.47507 -1004.47507

-997.56405 -1003.46529 -1003.46529-996.194698 -1002.14985 -1002.14985-994.521895 -1000.52915 -1000.52915-992.546152 -998.603671 -998.603671-990.268069 -996.37401 -996.37401-987.688341 -993.840844 -993.840844-984.807753 -991.004945 -991.004945-981.627183 -987.867176 -987.867176

Page 96: TAREA 3-Muestro de señales eléctricas para relés numéricos

-978.147601 -984.428493 -984.428493-974.370065 -980.689944 -980.689944-970.295726 -976.652667 -976.652667-965.925826 -972.317892 -972.317892-961.261696 -967.68694 -967.68694-956.304756 -962.761221 -962.761221-951.056516 -957.542235 -957.542235-945.518576 -952.031573 -952.031573-939.692621 -946.230913 -946.230913-933.580426 -940.142021 -940.142021-927.183855 -933.766754 -933.766754-920.504853 -927.107052 -927.107052-913.545458 -920.164944 -920.164944-906.307787 -912.942545 -912.942545-898.794046 -905.442055 -905.442055-891.006524 -897.665758 -897.665758-882.947593 -889.616024 -889.616024-874.619707 -881.295304 -881.295304-866.025404 -872.706133 -872.706133-857.167301 -863.851127 -863.851127-848.048096 -854.732984 -854.732984-838.670568 -845.354481 -845.354481-829.037573 -835.718474 -835.718474-819.152044 -825.8279 -825.8279-809.016994 -815.685771 -815.685771

-798.63551 -805.295176 -805.295176-788.010754 -794.65928 -794.65928-777.145961 -783.781323 -783.781323-766.044443 -772.664619 -772.664619

-754.70958 -761.312553 -761.312553-743.144825 -749.728585 -749.728585-731.353702 -737.916242 -737.916242

-719.3398 -725.879122 -725.879122-707.106781 -713.620893 -713.620893

0 0.005 0.01 0.015 0.02 0.025 0.030

100

200

300

400

500

600

700

800

900

COMPONENTE DC

COMPONENTE DC

Page 97: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.030

100

200

300

400

500

600

700

800

900

COMPONENTE DC

COMPONENTE DC

Page 98: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Onda fundamental

ONDA FUNDAMENTAL Fundamental sin el desfase

𝑉[𝐴]=1000cos(377+35°)𝑉[𝐵]=1005,5cos(377+37,8°)𝑉[𝐵]=1005,2cos(377+40,8°)

𝑉[𝐵]=1000sen(377+125°)𝑉[𝐵]=1005,5sen(377+127,8°)𝑉[𝐵]=1005,2sen(377+130,8°)

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-500

0

500

1000

1500

2000

Onda fund.+ Comp. DC

Onda fund.+ Comp. DC

Page 99: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-500

0

500

1000

1500

2000

Onda fund.+ Comp. DC

Onda fund.+ Comp. DC

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-500

0

500

1000

1500

2000

2500

Onda fund.+Comp.DC+Armón. Pares x2

Onda fund.+Comp.DC+Armón. Pares

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x2

Reconstrucción [C]

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x1

Reconstrucción [C]

Page 100: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x1

Reconstrucción [C]

Page 101: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-500

0

500

1000

1500

2000

2500

Onda fund.+Comp.DC+Armón. Pares x2

Onda fund.+Comp.DC+Armón. Pares

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x2

Reconstrucción [C]

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x1

Reconstrucción [C]

Page 102: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x1

Reconstrucción [C]

Page 103: TAREA 3-Muestro de señales eléctricas para relés numéricos

Parámetros onda fundamental Parámetros Expo. DecreAmplitud [A] 1000 AmplitudFreq. Lineal[Hz] 60 T[s]Freq. Ang[Rad/s] 376.991 1/TDesfase[Rad] 0.2617993878

GRADOS RADIANES TIEMPO [s] Tiempo[ms] Onda funda. Comp. DC 2do Armón.0 0 0 0 965.9258263 800 48.29629131 0.0174532925 4.62963E-05 0.0462963 970.2957263 799.07461 48.71850322 0.034906585 9.25926E-05 0.09259259 974.3700648 798.15029 49.08135923 0.0523598776 0.00013889 0.13888889 978.1476007 797.227039 49.3844174 0.0698131701 0.00018519 0.18518519 981.6271834 796.304856 49.62730765 0.0872664626 0.00023148 0.23148148 984.807753 795.38374 49.80973496 0.1047197551 0.00027778 0.27777778 987.6883406 794.46369 49.93147677 0.1221730476 0.00032407 0.32407407 990.2680687 793.544704 49.99238488 0.1396263402 0.00037037 0.37037037 992.5461516 792.626781 49.99238489 0.1570796327 0.00041667 0.41666667 994.5218954 791.709919 49.9314767

10 0.1745329252 0.00046296 0.46296296 996.1946981 790.794118 49.809734911 0.1919862177 0.00050926 0.50925926 997.5640503 789.879377 49.627307612 0.2094395102 0.00055556 0.55555556 998.6295348 788.965693 49.38441713 0.2268928028 0.00060185 0.60185185 999.390827 788.053067 49.081359214 0.2443460953 0.00064815 0.64814815 999.8476952 787.141496 48.718503215 0.2617993878 0.00069444 0.69444444 1000 786.23098 48.296291316 0.2792526803 0.00074074 0.74074074 999.8476952 785.321517 47.815237817 0.2967059728 0.00078704 0.78703704 999.390827 784.413105 47.275928818 0.3141592654 0.00083333 0.83333333 998.6295348 783.505745 46.679021319 0.3316125579 0.00087963 0.87962963 997.5640503 782.599434 46.025242720 0.3490658504 0.00092593 0.92592593 996.1946981 781.694172 45.315389421 0.3665191429 0.00097222 0.97222222 994.5218954 780.789957 44.550326222 0.3839724354 0.00101852 1.01851852 992.5461516 779.886787 43.730985423 0.401425728 0.00106481 1.06481481 990.2680687 778.984663 42.85836524 0.4188790205 0.00111111 1.11111111 987.6883406 778.083582 41.933528425 0.436332313 0.00115741 1.15740741 984.807753 777.183543 40.957602226 0.4537856055 0.0012037 1.2037037 981.6271834 776.284545 39.931775527 0.471238898 0.00125 1.25 978.1476007 775.386588 38.857298128 0.4886921906 0.0012963 1.2962963 974.3700648 774.489669 37.73547929 0.5061454831 0.00134259 1.34259259 970.2957263 773.593787 36.567685130 0.5235987756 0.00138889 1.38888889 965.9258263 772.698942 35.355339131 0.5410520681 0.00143519 1.43518519 961.2616959 771.805132 34.09991832 0.5585053606 0.00148148 1.48148148 956.304756 770.912355 32.802951433 0.5759586532 0.00152778 1.52777778 951.0565163 770.020612 31.466019634 0.5934119457 0.00157407 1.57407407 945.5185756 769.1299 30.090751235 0.6108652382 0.00162037 1.62037037 939.6926208 768.240218 28.678821836 0.6283185307 0.00166667 1.66666667 933.5804265 767.351566 27.2319518

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37 0.6457718232 0.00171296 1.71296296 927.1838546 766.463941 25.751903738 0.6632251158 0.00175926 1.75925926 920.5048535 765.577343 24.24048139 0.6806784083 0.00180556 1.80555556 913.5454576 764.691771 22.69952540 0.6981317008 0.00185185 1.85185185 906.307787 763.807223 21.130913141 0.7155849933 0.00189815 1.89814815 898.7940463 762.923698 19.536556442 0.7330382858 0.00194444 1.94444444 891.0065242 762.041195 17.918397543 0.7504915784 0.00199074 1.99074074 882.9475929 761.159714 16.278407744 0.7679448709 0.00203704 2.03703704 874.6197071 760.279251 14.618585245 0.7853981634 0.00208333 2.08333333 866.0254038 759.399808 12.940952346 0.8028514559 0.00212963 2.12962963 857.1673007 758.521381 11.247552747 0.8203047484 0.00217593 2.17592593 848.0480962 757.643971 9.5404497748 0.837758041 0.00222222 2.22222222 838.6705679 756.767575 7.8217232549 0.8552113335 0.00226852 2.26851852 829.0375726 755.892193 6.0934671750 0.872664626 0.00231481 2.31481481 819.1520443 755.017824 4.3577871451 0.8901179185 0.00236111 2.36111111 809.0169944 754.144467 2.6167978152 0.907571211 0.00240741 2.40740741 798.63551 753.272119 0.8726203253 0.9250245036 0.0024537 2.4537037 788.0107536 752.400781 -0.8726203254 0.9424777961 0.0025 2.5 777.1459615 751.53045 -2.6167978155 0.9599310886 0.0025463 2.5462963 766.0444431 750.661127 -4.3577871456 0.9773843811 0.00259259 2.59259259 754.7095802 749.792808 -6.0934671757 0.9948376736 0.00263889 2.63888889 743.1448255 748.925495 -7.8217232558 1.0122909662 0.00268519 2.68518519 731.3537016 748.059184 -9.5404497759 1.0297442587 0.00273148 2.73148148 719.3398003 747.193876 -11.247552760 1.0471975512 0.00277778 2.77777778 707.1067812 746.329568 -12.940952361 1.0646508437 0.00282407 2.82407407 694.6583705 745.466261 -14.618585262 1.0821041362 0.00287037 2.87037037 681.9983601 744.603952 -16.278407763 1.0995574288 0.00291667 2.91666667 669.1306064 743.74264 -17.918397564 1.1170107213 0.00296296 2.96296296 656.059029 742.882325 -19.536556465 1.1344640138 0.00300926 3.00925926 642.7876097 742.023005 -21.130913166 1.1519173063 0.00305556 3.05555556 629.320391 741.164678 -22.69952567 1.1693705988 0.00310185 3.10185185 615.6614753 740.307345 -24.24048168 1.1868238914 0.00314815 3.14814815 601.8150232 739.451004 -25.751903769 1.2042771839 0.00319444 3.19444444 587.7852523 738.595653 -27.231951870 1.2217304764 0.00324074 3.24074074 573.5764364 737.741291 -28.678821871 1.2391837689 0.00328704 3.28703704 559.1929035 736.887918 -30.090751272 1.2566370614 0.00333333 3.33333333 544.639035 736.035532 -31.466019673 1.274090354 0.00337963 3.37962963 529.9192642 735.184132 -32.802951474 1.2915436465 0.00342593 3.42592593 515.0380749 734.333716 -34.09991875 1.308996939 0.00347222 3.47222222 500 733.484285 -35.355339176 1.3264502315 0.00351852 3.51851852 484.8096202 732.635836 -36.567685177 1.343903524 0.00356481 3.56481481 469.4715628 731.788368 -37.73547978 1.3613568166 0.00361111 3.61111111 453.9904997 730.941881 -38.857298179 1.3788101091 0.00365741 3.65740741 438.3711468 730.096372 -39.931775580 1.3962634016 0.0037037 3.7037037 422.6182617 729.251842 -40.957602281 1.4137166941 0.00375 3.75 406.7366431 728.408289 -41.933528482 1.4311699866 0.0037963 3.7962963 390.7311285 727.565712 -42.85836583 1.4486232792 0.00384259 3.84259259 374.6065934 726.724109 -43.730985484 1.4660765717 0.00388889 3.88888889 358.3679495 725.88348 -44.5503262

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85 1.4835298642 0.00393519 3.93518519 342.0201433 725.043823 -45.315389486 1.5009831567 0.00398148 3.98148148 325.5681545 724.205137 -46.025242787 1.5184364492 0.00402778 4.02777778 309.0169944 723.367421 -46.679021388 1.5358897418 0.00407407 4.07407407 292.3717047 722.530675 -47.275928889 1.5533430343 0.00412037 4.12037037 275.6373558 721.694896 -47.815237890 1.5707963268 0.00416667 4.16666667 258.8190451 720.860085 -48.296291391 1.5882496193 0.00421296 4.21296296 241.9218956 720.026238 -48.718503292 1.6057029118 0.00425926 4.25925926 224.9510543 719.193357 -49.081359293 1.6231562044 0.00430556 4.30555556 207.9116908 718.361439 -49.38441794 1.6406094969 0.00435185 4.35185185 190.8089954 717.530483 -49.627307695 1.6580627894 0.00439815 4.39814815 173.6481777 716.700488 -49.809734996 1.6755160819 0.00444444 4.44444444 156.434465 715.871453 -49.931476797 1.6929693744 0.00449074 4.49074074 139.173101 715.043378 -49.992384898 1.710422667 0.00453704 4.53703704 121.8693434 714.21626 -49.992384899 1.7278759595 0.00458333 4.58333333 104.5284633 713.390099 -49.9314767

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373 6.5100781099 0.01726852 17.2685185 999.390827 519.5166 49.0813592374 6.5275314025 0.01731481 17.3148148 999.8476952 518.915656 48.7185032375 6.544984695 0.01736111 17.3611111 1000 518.315407 48.2962913376 6.5624379875 0.01740741 17.4074074 999.8476952 517.715851 47.8152378377 6.57989128 0.0174537 17.4537037 999.390827 517.11699 47.2759288378 6.5973445725 0.0175 17.5 998.6295348 516.518821 46.6790213379 6.6147978651 0.0175463 17.5462963 997.5640503 515.921344 46.0252427380 6.6322511576 0.01759259 17.5925926 996.1946981 515.324559 45.3153894381 6.6497044501 0.01763889 17.6388889 994.5218954 514.728463 44.5503262382 6.6671577426 0.01768519 17.6851852 992.5461516 514.133057 43.7309854383 6.6846110351 0.01773148 17.7314815 990.2680687 513.53834 42.858365384 6.7020643277 0.01777778 17.7777778 987.6883406 512.944311 41.9335284385 6.7195176202 0.01782407 17.8240741 984.807753 512.350969 40.9576022386 6.7369709127 0.01787037 17.8703704 981.6271834 511.758313 39.9317755387 6.7544242052 0.01791667 17.9166667 978.1476007 511.166343 38.8572981388 6.7718774977 0.01796296 17.962963 974.3700648 510.575057 37.735479389 6.7893307903 0.01800926 18.0092593 970.2957263 509.984456 36.5676851390 6.8067840828 0.01805556 18.0555556 965.9258263 509.394537 35.3553391391 6.8242373753 0.01810185 18.1018519 961.2616959 508.805301 34.099918392 6.8416906678 0.01814815 18.1481481 956.304756 508.216747 32.8029514393 6.8591439603 0.01819444 18.1944444 951.0565163 507.628873 31.4660196394 6.8765972529 0.01824074 18.2407407 945.5185756 507.04168 30.0907512395 6.8940505454 0.01828704 18.287037 939.6926208 506.455166 28.6788218396 6.9115038379 0.01833333 18.3333333 933.5804265 505.86933 27.2319518397 6.9289571304 0.01837963 18.3796296 927.1838546 505.284172 25.7519037398 6.9464104229 0.01842593 18.4259259 920.5048535 504.69969 24.240481399 6.9638637155 0.01847222 18.4722222 913.5454576 504.115885 22.699525400 6.981317008 0.01851852 18.5185185 906.307787 503.532755 21.1309131401 6.9987703005 0.01856481 18.5648148 898.7940463 502.9503 19.5365564402 7.016223593 0.01861111 18.6111111 891.0065242 502.368518 17.9183975403 7.0336768855 0.01865741 18.6574074 882.9475929 501.787409 16.2784077404 7.0511301781 0.0187037 18.7037037 874.6197071 501.206973 14.6185852405 7.0685834706 0.01875 18.75 866.0254038 500.627208 12.9409523406 7.0860367631 0.0187963 18.7962963 857.1673007 500.048113 11.2475527407 7.1034900556 0.01884259 18.8425926 848.0480962 499.469689 9.54044977408 7.1209433481 0.01888889 18.8888889 838.6705679 498.891933 7.82172325409 7.1383966407 0.01893519 18.9351852 829.0375726 498.314846 6.09346717410 7.1558499332 0.01898148 18.9814815 819.1520443 497.738426 4.35778714411 7.1733032257 0.01902778 19.0277778 809.0169944 497.162673 2.61679781412 7.1907565182 0.01907407 19.0740741 798.63551 496.587587 0.87262032413 7.2082098107 0.01912037 19.1203704 788.0107536 496.013165 -0.87262032414 7.2256631033 0.01916667 19.1666667 777.1459615 495.439408 -2.61679781415 7.2431163958 0.01921296 19.212963 766.0444431 494.866314 -4.35778714416 7.2605696883 0.01925926 19.2592593 754.7095802 494.293884 -6.09346717417 7.2780229808 0.01930556 19.3055556 743.1448255 493.722115 -7.82172325418 7.2954762733 0.01935185 19.3518519 731.3537016 493.151008 -9.54044977419 7.3129295659 0.01939815 19.3981481 719.3398003 492.580562 -11.2475527420 7.3303828584 0.01944444 19.4444444 707.1067812 492.010775 -12.9409523

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421 7.3478361509 0.01949074 19.4907407 694.6583705 491.441647 -14.6185852422 7.3652894434 0.01953704 19.537037 681.9983601 490.873178 -16.2784077423 7.3827427359 0.01958333 19.5833333 669.1306064 490.305367 -17.9183975424 7.4001960285 0.01962963 19.6296296 656.059029 489.738212 -19.5365564425 7.417649321 0.01967593 19.6759259 642.7876097 489.171713 -21.1309131426 7.4351026135 0.01972222 19.7222222 629.320391 488.60587 -22.699525427 7.452555906 0.01976852 19.7685185 615.6614753 488.040681 -24.240481428 7.4700091985 0.01981481 19.8148148 601.8150232 487.476146 -25.7519037429 7.4874624911 0.01986111 19.8611111 587.7852523 486.912264 -27.2319518430 7.5049157836 0.01990741 19.9074074 573.5764364 486.349034 -28.6788218431 7.5223690761 0.0199537 19.9537037 559.1929035 485.786455 -30.0907512432 7.5398223686 0.02 20 544.639035 485.224528 -31.4660196433 7.5572756611 0.0200463 20.0462963 529.9192642 484.66325 -32.8029514434 7.5747289537 0.02009259 20.0925926 515.0380749 484.102622 -34.099918435 7.5921822462 0.02013889 20.1388889 500 483.542642 -35.3553391436 7.6096355387 0.02018519 20.1851852 484.8096202 482.98331 -36.5676851437 7.6270888312 0.02023148 20.2314815 469.4715628 482.424625 -37.735479438 7.6445421237 0.02027778 20.2777778 453.9904997 481.866586 -38.8572981439 7.6619954163 0.02032407 20.3240741 438.3711468 481.309193 -39.9317755440 7.6794487088 0.02037037 20.3703704 422.6182617 480.752444 -40.9576022441 7.6969020013 0.02041667 20.4166667 406.7366431 480.19634 -41.9335284442 7.7143552938 0.02046296 20.462963 390.7311285 479.640878 -42.858365443 7.7318085863 0.02050926 20.5092593 374.6065934 479.086059 -43.7309854444 7.7492618789 0.02055556 20.5555556 358.3679495 478.531883 -44.5503262445 7.7667151714 0.02060185 20.6018519 342.0201433 477.978347 -45.3153894446 7.7841684639 0.02064815 20.6481481 325.5681545 477.425451 -46.0252427447 7.8016217564 0.02069444 20.6944444 309.0169944 476.873195 -46.6790213448 7.8190750489 0.02074074 20.7407407 292.3717047 476.321578 -47.2759288449 7.8365283415 0.02078704 20.787037 275.6373558 475.770598 -47.8152378450 7.853981634 0.02083333 20.8333333 258.8190451 475.220256 -48.2962913451 7.8714349265 0.02087963 20.8796296 241.9218956 474.670551 -48.7185032452 7.888888219 0.02092593 20.9259259 224.9510543 474.121482 -49.0813592453 7.9063415115 0.02097222 20.9722222 207.9116908 473.573048 -49.384417454 7.9237948041 0.02101852 21.0185185 190.8089954 473.025248 -49.6273076455 7.9412480966 0.02106481 21.0648148 173.6481777 472.478081 -49.8097349456 7.9587013891 0.02111111 21.1111111 156.434465 471.931548 -49.9314767457 7.9761546816 0.02115741 21.1574074 139.173101 471.385647 -49.9923848458 7.9936079741 0.0212037 21.2037037 121.8693434 470.840377 -49.9923848459 8.0110612667 0.02125 21.25 104.5284633 470.295738 -49.9314767460 8.0285145592 0.0212963 21.2962963 87.15574275 469.75173 -49.8097349461 8.0459678517 0.02134259 21.3425926 69.75647374 469.20835 -49.6273076462 8.0634211442 0.02138889 21.3888889 52.33595624 468.665599 -49.384417463 8.0808744367 0.02143519 21.4351852 34.8994967 468.123476 -49.0813592464 8.0983277293 0.02148148 21.4814815 17.45240644 467.58198 -48.7185032465 8.1157810218 0.02152778 21.5277778 3.06162E-13 467.04111 -48.2962913466 8.1332343143 0.02157407 21.5740741 -17.4524064 466.500866 -47.8152378467 8.1506876068 0.02162037 21.6203704 -34.8994967 465.961246 -47.2759288468 8.1681408993 0.02166667 21.6666667 -52.3359562 465.422251 -46.6790213

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469 8.1855941919 0.02171296 21.712963 -69.7564737 464.88388 -46.0252427470 8.2030474844 0.02175926 21.7592593 -87.1557427 464.346131 -45.3153894471 8.2205007769 0.02180556 21.8055556 -104.528463 463.809004 -44.5503262472 8.2379540694 0.02185185 21.8518519 -121.869343 463.272499 -43.7309854473 8.2554073619 0.02189815 21.8981481 -139.173101 462.736614 -42.858365474 8.2728606545 0.02194444 21.9444444 -156.434465 462.201349 -41.9335284475 8.290313947 0.02199074 21.9907407 -173.648178 461.666703 -40.9576022476 8.3077672395 0.02203704 22.037037 -190.808995 461.132676 -39.9317755477 8.325220532 0.02208333 22.0833333 -207.911691 460.599266 -38.8572981478 8.3426738245 0.02212963 22.1296296 -224.951054 460.066474 -37.735479479 8.3601271171 0.02217593 22.1759259 -241.921896 459.534297 -36.5676851480 8.3775804096 0.02222222 22.2222222 -258.819045 459.002737 -35.3553391481 8.3950337021 0.02226852 22.2685185 -275.637356 458.471791 -34.099918482 8.4124869946 0.02231481 22.3148148 -292.371705 457.941459 -32.8029514483 8.4299402871 0.02236111 22.3611111 -309.016994 457.411741 -31.4660196484 8.4473935797 0.02240741 22.4074074 -325.568154 456.882635 -30.0907512485 8.4648468722 0.0224537 22.4537037 -342.020143 456.354142 -28.6788218486 8.4823001647 0.0225 22.5 -358.36795 455.82626 -27.2319518487 8.4997534572 0.0225463 22.5462963 -374.606593 455.298988 -25.7519037488 8.5172067497 0.02259259 22.5925926 -390.731128 454.772327 -24.240481489 8.5346600423 0.02263889 22.6388889 -406.736643 454.246274 -22.699525490 8.5521133348 0.02268519 22.6851852 -422.618262 453.72083 -21.1309131491 8.5695666273 0.02273148 22.7314815 -438.371147 453.195994 -19.5365564492 8.5870199198 0.02277778 22.7777778 -453.9905 452.671765 -17.9183975493 8.6044732123 0.02282407 22.8240741 -469.471563 452.148143 -16.2784077494 8.6219265049 0.02287037 22.8703704 -484.80962 451.625126 -14.6185852495 8.6393797974 0.02291667 22.9166667 -500 451.102714 -12.9409523496 8.6568330899 0.02296296 22.962963 -515.038075 450.580906 -11.2475527497 8.6742863824 0.02300926 23.0092593 -529.919264 450.059703 -9.54044977498 8.6917396749 0.02305556 23.0555556 -544.639035 449.539101 -7.82172325499 8.7091929675 0.02310185 23.1018519 -559.192903 449.019102 -6.09346717500 8.72664626 0.02314815 23.1481481 -573.576436 448.499705 -4.35778714501 8.7440995525 0.02319444 23.1944444 -587.785252 447.980909 -2.61679781502 8.761552845 0.02324074 23.2407407 -601.815023 447.462712 -0.87262032503 8.7790061375 0.02328704 23.287037 -615.661475 446.945115 0.87262032504 8.7964594301 0.02333333 23.3333333 -629.320391 446.428117 2.61679781505 8.8139127226 0.02337963 23.3796296 -642.78761 445.911716 4.35778714506 8.8313660151 0.02342593 23.4259259 -656.059029 445.395913 6.09346717507 8.8488193076 0.02347222 23.4722222 -669.130606 444.880707 7.82172325508 8.8662726001 0.02351852 23.5185185 -681.99836 444.366097 9.54044977509 8.8837258927 0.02356481 23.5648148 -694.65837 443.852082 11.2475527510 8.9011791852 0.02361111 23.6111111 -707.106781 443.338661 12.9409523511 8.9186324777 0.02365741 23.6574074 -719.3398 442.825834 14.6185852512 8.9360857702 0.0237037 23.7037037 -731.353702 442.313601 16.2784077513 8.9535390627 0.02375 23.75 -743.144825 441.80196 17.9183975514 8.9709923553 0.0237963 23.7962963 -754.70958 441.290911 19.5365564515 8.9884456478 0.02384259 23.8425926 -766.044443 440.780453 21.1309131516 9.0058989403 0.02388889 23.8888889 -777.145961 440.270586 22.699525

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517 9.0233522328 0.02393519 23.9351852 -788.010754 439.761308 24.240481518 9.0408055253 0.02398148 23.9814815 -798.63551 439.25262 25.7519037519 9.0582588179 0.02402778 24.0277778 -809.016994 438.744519 27.2319518520 9.0757121104 0.02407407 24.0740741 -819.152044 438.237007 28.6788218521 9.0931654029 0.02412037 24.1203704 -829.037573 437.730082 30.0907512522 9.1106186954 0.02416667 24.1666667 -838.670568 437.223743 31.4660196523 9.1280719879 0.02421296 24.212963 -848.048096 436.717989 32.8029514524 9.1455252805 0.02425926 24.2592593 -857.167301 436.212821 34.099918525 9.162978573 0.02430556 24.3055556 -866.025404 435.708237 35.3553391526 9.1804318655 0.02435185 24.3518519 -874.619707 435.204237 36.5676851527 9.197885158 0.02439815 24.3981481 -882.947593 434.70082 37.735479528 9.2153384505 0.02444444 24.4444444 -891.006524 434.197985 38.8572981529 9.2327917431 0.02449074 24.4907407 -898.794046 433.695732 39.9317755530 9.2502450356 0.02453704 24.537037 -906.307787 433.194059 40.9576022531 9.2676983281 0.02458333 24.5833333 -913.545458 432.692967 41.9335284532 9.2851516206 0.02462963 24.6296296 -920.504853 432.192455 42.858365533 9.3026049131 0.02467593 24.6759259 -927.183855 431.692522 43.7309854534 9.3200582056 0.02472222 24.7222222 -933.580426 431.193167 44.5503262535 9.3375114982 0.02476852 24.7685185 -939.692621 430.694389 45.3153894536 9.3549647907 0.02481481 24.8148148 -945.518576 430.196189 46.0252427537 9.3724180832 0.02486111 24.8611111 -951.056516 429.698564 46.6790213538 9.3898713757 0.02490741 24.9074074 -956.304756 429.201516 47.2759288539 9.4073246682 0.0249537 24.9537037 -961.261696 428.705042 47.8152378540 9.4247779608 0.025 25 -965.925826 428.209143 48.2962913541 9.4422312533 0.0250463 25.0462963 -970.295726 427.713817 48.7185032542 9.4596845458 0.02509259 25.0925926 -974.370065 427.219064 49.0813592543 9.4771378383 0.02513889 25.1388889 -978.147601 426.724884 49.384417544 9.4945911308 0.02518519 25.1851852 -981.627183 426.231275 49.6273076545 9.5120444234 0.02523148 25.2314815 -984.807753 425.738237 49.8097349546 9.5294977159 0.02527778 25.2777778 -987.688341 425.24577 49.9314767547 9.5469510084 0.02532407 25.3240741 -990.268069 424.753872 49.9923848548 9.5644043009 0.02537037 25.3703704 -992.546152 424.262543 49.9923848549 9.5818575934 0.02541667 25.4166667 -994.521895 423.771782 49.9314767550 9.599310886 0.02546296 25.462963 -996.194698 423.281589 49.8097349

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ONDA FUNDAMENTAL

ONDA FUNDAMENTAL

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0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ARMÓNICOS

FUNDAMENTAL 2do Armónico 3er Armónico 4to Armónico 5to Armónico

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ONDA FUNDAMENTAL

ONDA FUNDAMENTAL

Page 116: TAREA 3-Muestro de señales eléctricas para relés numéricos

Parámetros Expo. Decre800

0.04-25

3ro Armón. 4to Armón. 5to Armón. Fund. + DC Fund.+DC+Arm. Pares SIN 15 gra MUESTRAS193.185165 19.3185165 67.6148078 1765.925826 2007.40728286134 1000

195.62952 19.6325437 68.9365427 1769.370336 2013.71835936619 999.847695197.537668 19.850923 69.7336289 1772.520355 2019.13938191898 999.390827198.904379 19.9725907 70 1775.37464 2023.66343601351 998.629535199.725907 19.9969539 69.7336289 1777.93204 2027.28525444991 997.56405

200 19.923894 68.9365427 1780.191493 2030.00122840268 996.194698199.725907 19.7537668 67.6148078 1782.152031 2031.80941427603 994.521895198.904379 19.4874013 65.7784835 1783.812772 2032.70953632891 992.546152197.537668 19.1260951 63.4415451 1785.172932 2032.70298506383 990.268069

195.62952 18.6716085 60.6217783 1786.231815 2031.79281138476 987.688341193.185165 18.1261557 57.3406431 1786.988816 2029.9837165408 984.807753190.211303 17.4923941 53.623111 1787.443427 2027.28203788374 981.627183186.716085 16.7734114 49.4974747 1787.595228 2023.6957304789 978.147601182.709092 15.9727102 44.9951327 1787.443894 2019.23434461962 974.370065178.201305 15.0941916 40.1503505 1786.989191 2013.90899930706 970.295726173.205081 14.1421356 35 1786.23098 2007.73235176768 965.925826167.734114 13.1211806 29.5832783 1785.169212 2000.71856309136 961.261696161.803399 12.0363005 23.94141 1783.803932 1992.88326008363 956.304756155.429192 10.8927807 18.1173332 1782.13528 1984.24349343582 951.056516148.628965 9.6961924 12.1553724 1780.163485 1974.8176923264 945.518576141.421356 8.45236523 6.10090199 1777.88887 1964.62561557684 939.692621133.826121 7.16735899 -2.68E-14 1775.311852 1953.68829949419 933.580426125.864078 5.84743409 -6.10090199 1772.432939 1942.02800254178 927.183855

117.55705 4.49902109 -12.1553724 1769.252731 1929.66814698764 920.504853108.927807 3.1286893 -18.1173332 1765.771922 1916.63325768849 913.545458

100 1.74311485 -23.94141 1761.991296 1902.94889817493 906.30778790.7980999 0.34904813 -29.5832783 1757.911729 1888.64160421031 898.79404681.3473286 -1.04671912 -35 1753.534188 1873.73881500289 891.00652471.6735899 -2.43738687 -40.1503505 1748.859733 1858.26880225693 882.94759361.8033989 -3.81617991 -44.9951327 1743.889513 1842.26059725407 874.619707

51.763809 -5.1763809 -49.4974747 1738.624768 1825.74391616174 866.02540441.5823382 -6.51136309 -53.623111 1733.066828 1808.74908376992 857.167301

31.286893 -7.81462257 -57.3406431 1727.217111 1791.30695586164 848.04809620.9056927 -9.07980999 -60.6217783 1721.077128 1773.44884042638 838.67056810.4671912 -10.3007615 -63.4415451 1714.648476 1755.20641792838 829.037573-3.2162E-14 -11.4715287 -65.7784835 1707.932839 1736.6116608443 819.152044-10.4671912 -12.5864078 -67.6148078 1700.931992 1717.69675268667 809.016994

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-41.5823382 -15.5429192 -70 1678.237229 1659.35441536626 777.145961-51.763809 -16.3830409 -69.7336289 1670.11501 1639.4821140733 766.044443

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-117.55705 -19.850923 -53.623111 1605.692067 1497.67546606478 681.99836-125.864078 -19.9725907 -49.4974747 1595.438143 1477.39578811288 669.130606-133.826121 -19.9969539 -44.9951327 1584.929766 1457.19711186616 656.059029-141.421356 -19.923894 -40.1503505 1574.169869 1437.1062994761 642.78761 K-148.628965 -19.7537668 -35 1563.161461 1417.14929366894 629.320391-155.429192 -19.4874013 -29.5832783 1551.907629 1397.3510571913 615.661475-161.803399 -19.1260951 -23.94141 1540.411534 1377.73551513697 601.815023-167.734114 -18.6716085 -18.1173332 1528.676412 1358.32550030652 587.785252-173.205081 -18.1261557 -12.1553724 1516.70557 1339.14270174338 573.576436-178.201305 -17.4923941 -6.10090199 1504.502389 1320.2076165811 559.192903-182.709092 -16.7734114 -1.2859E-14 1492.07032 1301.53950532719 544.639035-186.716085 -15.9727102 6.10090199 1479.412886 1283.15635069994 529.919264-190.211303 -15.0941916 12.1553724 1466.533676 1265.07482012431 515.038075-193.185165 -14.1421356 18.1173332 1453.436349 1247.31023198333 500

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-200 -8.45236523 44.9951327 1384.810614 1163.67970119625 422.618262-199.725907 -7.16735899 49.4974747 1370.48507 1148.05963759902 406.736643-198.904379 -5.84743409 53.623111 1355.968821 1132.82396047541 390.731128-197.537668 -4.49902109 57.3406431 1341.266027 1117.97645498173 374.606593

-195.62952 -3.1286893 60.6217783 1326.380905 1103.51943311034 358.36795-193.185165 -1.74311485 63.4415451 1311.317728 1089.45374042911 342.020143-190.211303 -0.34904813 65.7784835 1296.080821 1075.77876691796 325.568154-186.716085 1.04671912 67.6148078 1280.674567 1062.49246186655 309.016994-182.709092 2.43738687 68.9365427 1265.103396 1049.59135278559 292.371705-178.201305 3.81617991 69.7336289 1249.371791 1037.07056827347 275.637356-173.205081 5.1763809 70 1233.484285 1024.92386476941 258.819045-167.734114 6.51136309 69.7336289 1217.445456 1013.14365711304 241.921896-161.803399 7.81462257 68.9365427 1201.259931 1001.72105282078 224.951054-155.429192 9.07980999 67.6148078 1184.93238 990.645889978478 207.911691-148.628965 10.3007615 65.7784835 1168.467519 979.9067786405 190.808995-141.421356 11.4715287 63.4415451 1151.870104 969.4911456156 173.648178-133.826121 12.5864078 60.6217783 1135.144932 959.385282510785 156.434465-125.864078 13.6399672 57.3406431 1118.29684 949.574396895554 139.173101

-117.55705 14.627074 53.623111 1101.330702 940.042666440374 121.869343-108.927807 15.5429192 49.4974747 1084.251429 930.77329587522 104.528463

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-100 16.3830409 44.9951327 1067.063966 921.74857660634 87.1557427-90.7980999 17.143346 40.1503505 1049.773291 912.949948822233 69.7564737-81.3473286 17.8201305 35 1032.384416 904.358065913089 52.3359562-71.6735899 18.4100971 29.5832783 1014.90238 895.952861021677 34.8994967-61.8033989 18.9103715 23.94141 997.3322522 887.713615537983 17.4524064

-51.763809 19.3185165 18.1173332 979.6791297 879.619029344596 2.83277E-13-41.5823382 19.6325437 12.1553724 961.948134 871.647292615238 -17.4524064

-31.286893 19.850923 6.10090199 944.1444111 863.7761589646 -34.8994967-20.9056927 19.9725907 -1.0291E-13 926.2731294 855.983019744123 -52.3359562-10.4671912 19.9969539 -6.10090199 908.3394781 848.244979275306 -69.75647373.18532E-13 19.923894 -12.1553724 890.3486657 840.538930809659 -87.155742710.4671912 19.7537668 -18.1173332 872.3059185 832.841633002587 -104.52846320.9056927 19.4874013 -23.94141 854.2164788 825.129786687165 -121.869343

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51.763809 18.1261557 -40.1503505 799.7206365 801.674710602494 -173.64817861.8033989 17.4923941 -44.9951327 781.4971167 793.673207978698 -190.80899571.6735899 16.7734114 -49.4974747 763.2533018 785.542474708738 -207.91169181.3473286 15.9727102 -53.623111 744.9944973 777.26046671584 -224.95105490.7980999 15.0941916 -57.3406431 726.7260132 768.805609938186 -241.921896

100 14.1421356 -60.6217783 708.4531632 760.156871836783 -258.819045108.927807 13.1211806 -63.4415451 690.1812621 751.293831316018 -275.637356

117.55705 12.0363005 -65.7784835 671.9156252 742.196746862129 -292.371705125.864078 10.8927807 -67.6148078 653.6615658 732.84662270984 -309.016994133.826121 9.6961924 -68.9365427 635.4243943 723.225272852949 -325.568154141.421356 8.45236523 -69.7336289 617.2094158 713.31538272068 -342.020143148.628965 7.16735899 -70 599.0219295 703.100568348175 -358.36795155.429192 5.84743409 -69.7336289 580.8672259 692.565432876471 -374.606593161.803399 4.49902109 -68.9365427 562.7505864 681.695620224763 -390.731128167.734114 3.1286893 -67.6148078 544.6772806 670.477865785674 -406.736643173.205081 1.74311485 -65.7784835 526.6525655 658.900044002471 -422.618262178.201305 0.34904813 -63.4415451 508.6816834 646.951212695911 -438.371147182.709092 -1.04671912 -60.6217783 490.7698606 634.621654017401 -453.9905186.716085 -2.43738687 -57.3406431 472.9223056 621.902911914522 -469.471563190.211303 -3.81617991 -53.623111 455.1442078 608.787826004696 -484.80962193.185165 -5.1763809 -49.4974747 437.4407356 595.270561762678 -500

195.62952 -6.51136309 -44.9951327 419.8170348 581.346636937842 -515.038075197.537668 -7.81462257 -40.1503505 402.2782275 567.01294412764 -529.919264198.904379 -9.07980999 -35 384.8294099 552.26776944429 -544.639035199.725907 -10.3007615 -29.5832783 367.4756514 537.110807222563 -559.192903

200 -11.4715287 -23.94141 350.2219925 521.543170727495 -573.576436199.725907 -12.5864078 -18.1173332 333.0734436 505.567398831954 -587.785252198.904379 -13.6399672 -12.1553724 316.0349833 489.187458645104 -601.815023197.537668 -14.627074 -6.10090199 299.111557 472.408744084044 -615.661475

195.62952 -15.5429192 -3.0004E-14 282.3080752 455.238070392115 -629.320391193.185165 -16.3830409 6.10090199 265.6294124 437.683664618566 -642.78761190.211303 -17.143346 12.1553724 249.0804053 419.755152085449 -656.059029186.716085 -17.8201305 18.1173332 232.6658511 401.463538878699 -669.130606

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182.709092 -18.4100971 23.94141 216.3905066 382.821190411345 -681.99836178.201305 -18.9103715 29.5832783 200.2590865 363.841806117657 -694.65837173.205081 -19.3185165 35 184.2762618 344.5403903477 -707.106781167.734114 -19.6325437 40.1503505 168.4466587 324.933219542301 -719.3398161.803399 -19.850923 44.9951327 152.7748567 305.037805778666 -731.353702155.429192 -19.9725907 49.4974747 137.2653877 284.872856786931 -743.144825148.628965 -19.9969539 53.623111 121.9227346 264.458232547665 -754.70958141.421356 -19.923894 57.3406431 106.7513295 243.814898589783 -766.044443 K+1133.826121 -19.7537668 60.6217783 91.75555266 222.964876117437 -777.145961125.864078 -19.4874013 63.4415451 76.93973122 201.931189103189 -788.010754

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100 -18.1261557 68.9365427 33.61444425 137.972231389523 -819.15204490.7980999 -17.4923941 69.7336289 19.56060508 116.452172195346 -829.03757381.3473286 -16.7734114 70 5.707512893 94.8765647597012 -838.67056871.6735899 -15.9727102 69.7336289 -7.94085162 73.2731880582615 -848.04809661.8033989 -15.0941916 68.9365427 -21.3805699 51.6703817296273 -857.167301

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31.286893 -12.0363005 63.4415451 -60.4096172 -12.8443164974798 -882.94759320.9056927 -10.8927807 60.6217783 -72.9768475 -34.1527573867369 -891.00652410.4671912 -9.6961924 57.3406431 -85.3168109 -55.3130632690834 -898.794046-2.9404E-13 -8.45236523 53.623111 -97.4259858 -76.2950727172966 -906.307787-10.4671912 -7.16735899 49.4974747 -109.30092 -97.0685866939511 -913.545458-20.9056927 -5.84743409 44.9951327 -120.938234 -117.603445873408 -920.504853

-31.286893 -4.49902109 40.1503505 -132.334619 -137.869607980364 -927.183855-41.5823382 -3.1286893 35 -143.486839 -157.837224931949 -933.580426

-51.763809 -1.74311485 29.5832783 -154.391732 -177.47671957091 -939.692621-61.8033989 -0.34904813 23.94141 -165.046214 -196.758861778527 -945.518576-71.6735899 1.04671912 18.1173332 -175.447273 -215.654843757672 -951.056516-81.3473286 2.43738687 12.1553724 -185.591977 -234.136354278665 -956.304756-90.7980999 3.81617991 6.10090199 -195.47747 -252.175651683472 -961.261696

-100 5.1763809 -8.5769E-14 -205.100975 -269.745635447216 -965.925826-108.927807 6.51136309 -6.10090199 -214.459794 -286.819916099961 -970.295726

-117.55705 7.81462257 -12.1553724 -223.551312 -303.37288331624 -974.370065-125.864078 9.07980999 -18.1173332 -232.372992 -319.379771984863 -978.147601-133.826121 10.3007615 -23.94141 -240.92238 -334.816726077121 -981.627183-141.421356 11.4715287 -29.5832783 -249.197106 -349.660860137569 -984.807753-148.628965 12.5864078 -35 -257.194882 -363.890318228133 -987.688341-155.429192 13.6399672 -40.1503505 -264.913503 -377.4843301633 -990.268069-161.803399 14.627074 -44.9951327 -272.350851 -390.423264881659 -992.546152-167.734114 15.5429192 -49.4974747 -279.504893 -402.688680806913 -994.521895-173.205081 16.3830409 -53.623111 -286.373682 -414.263373059813 -996.194698-178.201305 17.143346 -57.3406431 -292.955355 -425.13141739116 -997.56405-182.709092 17.8201305 -60.6217783 -299.248141 -435.278210715042 -998.629535-186.716085 18.4100971 -63.4415451 -305.250352 -444.690508130853 -999.390827-190.211303 18.9103715 -65.7784835 -310.960391 -453.356456332347 -999.847695-193.185165 19.3185165 -67.6148078 -316.376749 -461.265623311921 -1000

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-195.62952 19.6325437 -68.9365427 -321.498007 -468.409024278548 -999.847695-197.537668 19.850923 -69.7336289 -326.322835 -474.779143718221 -999.390827-198.904379 19.9725907 -70 -330.849991 -480.369953536413 -998.629535-199.725907 19.9969539 -69.7336289 -335.078328 -485.176927232855 -997.56405

-200 19.923894 -68.9365427 -339.006785 -489.197050069885 -996.194698-199.725907 19.7537668 -67.6148078 -342.634395 -492.428825206663 -994.521895-198.904379 19.4874013 -65.7784835 -345.960281 -494.872275782679 -992.546152-197.537668 19.1260951 -63.4415451 -348.98366 -496.528942945143 -990.268069

-195.62952 18.6716085 -60.6217783 -351.703836 -497.401879826057 -987.688341-193.185165 18.1261557 -57.3406431 -354.120211 -497.495641485896 -984.807753-190.211303 17.4923941 -53.623111 -356.232275 -496.816270852003 -981.627183-186.716085 16.7734114 -49.4974747 -358.039612 -495.371280690811 -978.147601-182.709092 15.9727102 -44.9951327 -359.541899 -493.169631663954 -974.370065-178.201305 15.0941916 -40.1503505 -360.738905 -490.221706529151 -970.295726-173.205081 14.1421356 -35 -361.630491 -486.539280557351 -965.925826-167.734114 13.1211806 -29.5832783 -362.216612 -482.135488248087 -961.261696-161.803399 12.0363005 -23.94141 -362.497316 -477.024786435194 -956.304756-155.429192 10.8927807 -18.1173332 -362.472743 -471.222913885007 -951.056516-148.628965 9.6961924 -12.1553724 -362.143125 -464.74684749882 -945.518576-141.421356 8.45236523 -6.10090199 -361.508788 -457.614755240777 -939.692621-133.826121 7.16735899 7.71961E-14 -360.570151 -449.845945921395 -933.580426-125.864078 5.84743409 6.10090199 -359.327723 -441.46081597558 -927.183855

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-100 1.74311485 23.94141 -353.784187 -412.826584647931 -906.307787-90.7980999 0.34904813 29.5832783 -351.333546 -402.199870599076 -898.794046-81.3473286 -1.04671912 35 -348.583048 -391.07307850133 -891.006524-71.6735899 -2.43738687 40.1503505 -345.533753 -379.47186406804 -882.947593-61.8033989 -3.81617991 44.9951327 -342.186813 -367.422527230453 -874.619707

-51.763809 -5.1763809 49.4974747 -338.543471 -354.951940776504 -866.025404-41.5823382 -6.51136309 53.623111 -334.605057 -342.087477554418 -857.167301

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133.826121 -19.9969539 44.9951327 -215.301227 -75.3816385097674 -656.059029141.421356 -19.923894 40.1503505 -206.125631 -60.3464873840784 -642.78761 K+2148.628965 -19.7537668 35 -196.699692 -45.4539288048107 -629.320391155.429192 -19.4874013 29.5832783 -187.026498 -30.7246853838406 -615.661475161.803399 -19.1260951 23.94141 -177.109213 -16.178434309145 -601.815023167.734114 -18.6716085 18.1173332 -166.951074 -1.83375788247307 -587.785252173.205081 -18.1261557 12.1553724 -156.555391 12.2919027634202 -573.576436178.201305 -17.4923941 6.10090199 -145.925547 26.1822906395637 -559.192903182.709092 -16.7734114 -6.8624E-14 -135.064996 39.8223724483155 -544.639035186.716085 -15.9727102 -6.10090199 -123.977261 53.198374593834 -529.919264190.211303 -15.0941916 -12.1553724 -112.665935 66.2978155554229 -515.038075193.185165 -14.1421356 -18.1173332 -101.134678 79.109534533713 -500

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195.62952 -3.1286893 -60.6217783 11.90740326 180.304971652007 -358.36795193.185165 -1.74311485 -63.4415451 25.42253199 189.928875432779 -342.020143190.211303 -0.34904813 -65.7784835 39.11318008 199.233732183598 -325.568154186.716085 1.04671912 -67.6148078 52.97496523 208.225030980268 -309.016994182.709092 2.43738687 -68.9365427 67.00345327 216.909593348533 -292.371705178.201305 3.81617991 -69.7336289 81.19415948 225.295546314566 -275.637356173.205081 5.1763809 -70 95.54254999 233.392291682924 -258.819045167.734114 6.51136309 -69.7336289 110.0440431 241.210471626514 -241.921896161.803399 7.81462257 -68.9365427 124.6940108 248.761930683289 -224.951054155.429192 9.07980999 -67.6148078 139.48778 256.059674264414 -207.911691148.628965 10.3007615 -65.7784835 154.4206342 263.117823788328 -190.808995141.421356 11.4715287 -63.4415451 169.4878145 269.951568564487 -173.648178133.826121 12.5864078 -60.6217783 184.6845217 276.577114559659 -156.434465125.864078 13.6399672 -57.3406431 200.005917 283.011630188274 -139.173101

117.55705 14.627074 -53.623111 215.4471242 289.273189276679 -121.869343108.927807 15.5429192 -49.4974747 231.0032306 295.380711359006 -104.528463

100 16.3830409 -44.9951327 246.6692888 301.353899469822 -87.155742790.7980999 17.143346 -40.1503505 262.4403183 307.213175605745 -69.756473781.3473286 17.8201305 -35 278.3113067 312.979614034737 -52.335956271.6735899 18.4100971 -29.5832783 294.2772115 318.674872637839 -34.899496761.8033989 18.9103715 -23.94141 310.3329614 324.321122473645 -17.4524064

51.763809 19.3185165 -18.1173332 326.4734581 329.940975760843 -1.837E-1341.5823382 19.6325437 -12.1553724 342.6935776 335.557412478631 17.4524064

31.286893 19.850923 -6.10090199 358.988172 341.193705788744 34.899496720.9056927 19.9725907 -1.8864E-13 375.3520709 346.873346486248 52.335956210.4671912 19.9969539 6.10090199 391.780083 352.619966689001 69.7564737-2.4505E-13 19.923894 12.1553724 408.2669979 358.457262977997 87.1557427-10.4671912 19.7537668 18.1173332 424.8075872 364.408919202404 104.528463

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-20.9056927 19.4874013 23.94141 441.3966066 370.49852916421 121.869343-31.286893 19.1260951 29.5832783 458.0287972 376.749519397854 139.173101

-41.5823382 18.6716085 35 474.6988872 383.185072260117 156.434465-51.763809 18.1261557 40.1503505 491.4015935 389.828049544843 173.648178

-61.8033989 17.4923941 44.9951327 508.1316233 396.700916835765 190.808995-71.6735899 16.7734114 49.4974747 524.8836757 403.825668808842 207.911691-81.3473286 15.9727102 53.623111 541.6524435 411.22375569305 224.951054-90.7980999 15.0941916 57.3406431 558.4326143 418.916011095531 241.921896

-100 14.1421356 60.6217783 575.2188727 426.922581393421 258.819045-108.927807 13.1211806 63.4415451 592.0059017 435.262856890523 275.637356

-117.55705 12.0363005 65.7784835 608.7883842 443.955404932257 292.371705-125.864078 10.8927807 67.6148078 625.5610047 453.017905167148 309.016994-133.826121 9.6961924 68.9365427 642.3184511 462.467087137299 325.568154-141.421356 8.45236523 69.7336289 659.055416 472.318670374097 342.020143-148.628965 7.16735899 70 675.7665985 482.587307168609 358.36795-155.429192 5.84743409 69.7336289 692.4467058 493.286528178976 374.606593-161.803399 4.49902109 68.9365427 709.0904549 504.428691029405 390.731128-167.734114 3.1286893 67.6148078 725.692574 516.024932047312 406.736643-173.205081 1.74311485 65.7784835 742.2478042 528.085121276674 422.618262-178.201305 0.34904813 63.4415451 758.7509012 540.617820896774 438.371147-182.709092 -1.04671912 60.6217783 775.1966368 553.630247166309 453.9905-186.716085 -2.43738687 57.3406431 791.5798003 567.128236003263 469.471563-190.211303 -3.81617991 53.623111 807.8952006 581.116212301082 484.80962-193.185165 -5.1763809 49.4974747 824.1376674 595.597163071553 500

-195.62952 -6.51136309 44.9951327 840.3020526 610.572614494391 515.038075-197.537668 -7.81462257 40.1503505 856.3832325 626.042612942909 529.919264-198.904379 -9.07980999 35 872.3761087 642.005710044336 544.639035-199.725907 -10.3007615 29.5832783 888.2756099 658.458951822379 559.192903

-200 -11.4715287 23.94141 904.0766938 675.397871958497 573.576436-199.725907 -12.5864078 18.1173332 919.7743479 692.816489197146 587.785252-198.904379 -13.6399672 12.1553724 935.3635917 710.70730890895 601.815023-197.537668 -14.627074 6.10090199 950.8394779 729.061328814428 615.661475

-195.62952 -15.5429192 1.97211E-13 966.197094 747.868048859559 629.320391-193.185165 -16.3830409 -6.10090199 981.4315636 767.115485223124 642.78761-190.211303 -17.143346 -12.1553724 996.5380481 786.790188424491 656.059029-186.716085 -17.8201305 -18.1173332 1011.511748 806.877265489332 669.130606-182.709092 -18.4100971 -23.94141 1026.347905 827.360406119621 681.99836-178.201305 -18.9103715 -29.5832783 1041.041803 848.221912803377 694.65837-173.205081 -19.3185165 -35 1055.588768 869.442734788792 707.106781-167.734114 -19.6325437 -40.1503505 1069.984172 891.002505836838 719.3398-161.803399 -19.850923 -44.9951327 1084.223434 912.879585656089 731.353702-155.429192 -19.9725907 -49.4974747 1098.30202 935.051104913424 743.144825-148.628965 -19.9969539 -53.623111 1112.215446 957.493013704454 754.70958-141.421356 -19.923894 -57.3406431 1125.959277 980.180133358041 766.044443 K+3-133.826121 -19.7537668 -60.6217783 1139.529131 1003.08621144015 777.145961-125.864078 -19.4874013 -63.4415451 1152.920678 1026.18397981344 788.010754

-117.55705 -19.1260951 -65.7784835 1166.129646 1049.44521560063 798.63551-108.927807 -18.6716085 -67.6148078 1179.151814 1072.84080489176 809.016994

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-100 -18.1261557 -68.9365427 1191.983022 1096.34080902768 819.152044-90.7980999 -17.4923941 -69.7336289 1204.619166 1119.9145332854 829.037573-81.3473286 -16.7734114 -70 1217.056203 1143.53059778385 838.670568-71.6735899 -15.9727102 -69.7336289 1229.290151 1167.15701042277 848.048096-61.8033989 -15.0941916 -68.9365427 1241.317088 1190.76124166181 857.167301

-51.763809 -14.1421356 -67.6148078 1253.133158 1214.31030094156 866.025404-41.5823382 -13.1211806 -65.7784835 1264.734567 1237.770814544 874.619707

-31.286893 -12.0363005 -63.4415451 1276.11759 1261.10910468562 882.947593-20.9056927 -10.8927807 -60.6217783 1287.278565 1284.29126963302 891.006524-10.4671912 -9.6961924 -57.3406431 1298.213899 1307.28326462802 898.794046

2.2056E-13 -8.45236523 -53.623111 1308.92007 1330.05098340694 906.30778710.4671912 -7.16735899 -49.4974747 1319.393624 1352.5603400969 913.54545820.9056927 -5.84743409 -44.9951327 1329.631178 1374.77735127102 920.504853

31.286893 -4.49902109 -40.1503505 1339.629421 1396.66821794381 927.18385541.5823382 -3.1286893 -35 1349.385117 1418.19940728787 933.580426

51.763809 -1.74311485 -29.5832783 1358.895103 1439.33773385417 939.69262161.8033989 -0.34904813 -23.94141 1368.15629 1460.05044007877 945.51857671.6735899 1.04671912 -18.1173332 1377.165666 1480.30527586128 951.05651681.3473286 2.43738687 -12.1553724 1385.920297 1500.07057700233 956.30475690.7980999 3.81617991 -6.10090199 1394.417324 1519.31534229062 961.261696

100 5.1763809 4.2906E-14 1402.65397 1538.00930903335 965.925826108.927807 6.51136309 6.10090199 1410.627535 1556.12302682843 970.295726

117.55705 7.81462257 12.1553724 1418.3354 1573.62792938093 974.370065125.864078 9.07980999 18.1173332 1425.775028 1590.49640417212 978.147601133.826121 10.3007615 23.94141 1432.943963 1606.70185979443 981.627183141.421356 11.4715287 29.5832783 1439.839832 1622.21879077273 984.807753148.628965 12.5864078 35 1446.460346 1637.02283969814 987.688341155.429192 13.6399672 40.1503505 1452.803299 1651.09085650876 990.268069161.803399 14.627074 44.9951327 1458.866571 1664.40095475836 992.546152167.734114 15.5429192 49.4974747 1464.648125 1676.93256472305 994.521895173.205081 16.3830409 53.623111 1470.146013 1688.66648320379 996.194698178.201305 17.143346 57.3406431 1475.358372 1699.58491989173 997.56405182.709092 17.8201305 60.6217783 1480.283427 1709.67154017279 998.629535186.716085 18.4100971 63.4415451 1484.91949 1718.91150425701 999.390827190.211303 18.9103715 65.7784835 1489.264961 1727.29150252847 999.847695193.185165 19.3185165 67.6148078 1493.31833 1734.79978702169 1000

195.62952 19.6325437 68.9365427 1497.078176 1741.42619894057 999.847695197.537668 19.850923 69.7336289 1500.543165 1747.16219214698 999.390827198.904379 19.9725907 70 1503.712056 1752.00085255663 998.629535199.725907 19.9969539 69.7336289 1506.583699 1755.93691339111 997.56405

200 19.923894 68.9365427 1509.157031 1758.9667662459 996.194698199.725907 19.7537668 67.6148078 1511.431084 1761.08846794564 994.521895198.904379 19.4874013 65.7784835 1513.404979 1762.30174316929 992.546152197.537668 19.1260951 63.4415451 1515.07793 1762.60798283884 990.268069

195.62952 18.6716085 60.6217783 1516.449241 1762.01023827728 987.688341193.185165 18.1261557 57.3406431 1517.518311 1760.51321115224 984.807753190.211303 17.4923941 53.623111 1518.284628 1758.12323923356 981.627183186.716085 16.7734114 49.4974747 1518.747776 1754.84827800411 978.147601

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182.709092 15.9727102 44.9951327 1518.907427 1750.6978781743 974.370065178.201305 15.0941916 40.1503505 1518.763351 1745.68315916189 970.295726173.205081 14.1421356 35 1518.315407 1739.81677860947 965.925826167.734114 13.1211806 29.5832783 1517.563547 1733.11289802252 961.261696161.803399 12.0363005 23.94141 1516.507817 1725.58714462175 956.304756155.429192 10.8927807 18.1173332 1515.148356 1717.25656951314 951.056516148.628965 9.6961924 12.1553724 1513.485395 1708.13960228937 945.518576141.421356 8.45236523 6.10090199 1511.519257 1698.25600218559 939.692621133.826121 7.16735899 -3.4333E-14 1509.250358 1687.62680592211 933.580426125.864078 5.84743409 -6.10090199 1506.679209 1676.27427237501 927.183855

117.55705 4.49902109 -12.1553724 1503.806409 1664.22182422459 920.504853108.927807 3.1286893 -18.1173332 1500.632651 1651.49398673938 913.545458

100 1.74311485 -23.94141 1497.158722 1638.11632386129 906.30778790.7980999 0.34904813 -29.5832783 1493.385496 1624.11537176453 898.79404681.3473286 -1.04671912 -35 1489.313943 1609.51857006773 891.00652471.6735899 -2.43738687 -40.1503505 1484.945122 1594.35419088505 882.94759361.8033989 -3.81617991 -44.9951327 1480.280182 1578.65126590756 874.619707

51.763809 -5.1763809 -49.4974747 1475.320364 1562.43951171163 866.02540441.5823382 -6.51136309 -53.623111 1470.066997 1545.74925349572 857.167301

31.286893 -7.81462257 -57.3406431 1464.521503 1528.61134745086 848.04809620.9056927 -9.07980999 -60.6217783 1458.68539 1511.05710197408 838.67056810.4671912 -10.3007615 -63.4415451 1452.560256 1493.11819793666 829.037573-1.9607E-13 -11.4715287 -65.7784835 1446.147786 1474.82660822188 819.152044-10.4671912 -12.5864078 -67.6148078 1439.449756 1456.21451674836 809.016994-20.9056927 -13.6399672 -68.9365427 1432.468026 1437.31423719687 798.63551

-31.286893 -14.627074 -69.7336289 1425.204544 1418.1581316586 788.010754-41.5823382 -15.5429192 -70 1417.661343 1398.77852942339 777.145961

-51.763809 -16.3830409 -69.7336289 1409.840542 1379.20764612565 766.044443-61.8033989 -17.143346 -68.9365427 1401.744346 1359.4775034647 754.70958-71.6735899 -17.8201305 -67.6148078 1393.375042 1339.61984971445 743.144825-81.3473286 -18.4100971 -65.7784835 1384.735002 1319.66608123519 731.353702-90.7980999 -18.9103715 -63.4415451 1375.82668 1299.6471651973 719.3398

-100 -19.3185165 -60.6217783 1366.652611 1279.59356372324 707.106781-108.927807 -19.6325437 -57.3406431 1357.215414 1259.5351596502 694.65837

-117.55705 -19.850923 -53.623111 1347.517785 1239.50118411136 681.99836-125.864078 -19.9725907 -49.4974747 1337.562501 1219.52014612841 669.130606-133.826121 -19.9969539 -44.9951327 1327.352419 1199.61976440247 656.059029-141.421356 -19.923894 -40.1503505 1316.890471 1179.82690148462 642.78761 K+4-148.628965 -19.7537668 -35 1306.179668 1160.16750050023 629.320391-155.429192 -19.4874013 -29.5832783 1295.223097 1140.6665245946 615.661475-161.803399 -19.1260951 -23.94141 1284.023918 1121.34789925971 601.815023-167.734114 -18.6716085 -18.1173332 1272.585369 1102.23445769389 587.785252-173.205081 -18.1261557 -12.1553724 1260.910757 1083.34788933785 573.576436-178.201305 -17.4923941 -6.10090199 1249.003464 1064.70869172197 559.192903-182.709092 -16.7734114 2.74451E-13 1236.866941 1046.33612575014 544.639035-186.716085 -15.9727102 6.10090199 1224.50471 1028.24817453654 529.919264-190.211303 -15.0941916 12.1553724 1211.920362 1010.4615059016 515.038075-193.185165 -14.1421356 18.1173332 1199.117556 992.991438623331 500

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-195.62952 -13.1211806 23.94141 1186.100018 975.851912530094 484.80962-197.537668 -12.0363005 29.5832783 1172.871538 959.055462510206 469.471563-198.904379 -10.8927807 35 1159.435973 942.613196502942 453.9905-199.725907 -9.6961924 40.1503505 1145.797241 926.534777524715 438.371147

-200 -8.45236523 44.9951327 1131.959323 910.828409773092 422.618262-199.725907 -7.16735899 49.4974747 1117.926261 895.500828840077 406.736643-198.904379 -5.84743409 53.623111 1103.702156 880.557296054902 390.731128-197.537668 -4.49902109 57.3406431 1089.291169 866.001596965238 374.606593

-195.62952 -3.1286893 60.6217783 1074.697516 851.836043954358 358.36795-193.185165 -1.74311485 63.4415451 1059.92547 838.061482980553 342.020143-190.211303 -0.34904813 65.7784835 1044.979359 824.677304413765 325.568154-186.716085 1.04671912 67.6148078 1029.863563 811.681457933202 309.016994-182.709092 2.43738687 68.9365427 1014.582514 799.070471438645 292.371705-178.201305 3.81617991 69.7336289 999.1406968 786.839473917159 275.637356-173.205081 5.1763809 70 983.542642 774.982222196132 258.819045-167.734114 6.51136309 69.7336289 967.7929302 763.491131502969 241.921896-161.803399 7.81462257 68.9365427 951.8961876 752.35730974137 224.951054-155.429192 9.07980999 67.6148078 935.8570857 741.570595384038 207.911691-148.628965 10.3007615 65.7784835 919.6803395 731.119598871746 190.808995-141.421356 11.4715287 63.4415451 903.3707059 720.991747399202 173.648178-133.826121 12.5864078 60.6217783 886.9329826 711.173332958922 156.434465-125.864078 13.6399672 57.3406431 870.3720068 701.649563505472 139.173101

-117.55705 14.627074 53.623111 853.6926529 692.404617093936 121.869343-108.927807 15.5429192 49.4974747 836.8998321 683.421698838461 104.528463

-100 16.3830409 44.9951327 819.9984899 674.683100529026 87.1557427-90.7980999 17.143346 40.1503505 802.9936054 666.170262737417 69.7564737-81.3473286 17.8201305 35 785.8901892 657.863839236659 52.3359562-71.6735899 18.4100971 29.5832783 768.6932822 649.74376355193 34.8994967-61.8033989 18.9103715 23.94141 751.4079541 641.789317455165 17.4524064

-51.763809 19.3185165 18.1173332 734.0393015 633.979201210471 3.06162E-13-41.5823382 19.6325437 12.1553724 716.5924468 626.291605372644 -17.4524064

-31.286893 19.850923 6.10090199 699.0725361 618.704283937007 -34.8994967-20.9056927 19.9725907 4.80192E-13 681.4847383 611.194628635196 -52.3359562-10.4671912 19.9969539 -6.10090199 663.834243 603.739744168459 -69.75647371.71574E-13 19.923894 -12.1553724 646.1262591 596.316524167621 -87.155742710.4671912 19.7537668 -18.1173332 628.3660132 588.901727666963 -104.52846320.9056927 19.4874013 -23.94141 610.558748 581.472055877995 -121.869343

31.286893 19.1260951 -29.5832783 592.7097208 574.004229048408 -139.17310141.5823382 18.6716085 -35 574.8242018 566.475063191354 -156.434465

51.763809 18.1261557 -40.1503505 556.9074724 558.861546470732 -173.64817861.8033989 17.4923941 -44.9951327 538.9648237 551.140915029171 -190.80899571.6735899 16.7734114 -49.4974747 521.0015552 543.290728047112 -207.91169181.3473286 15.9727102 -53.623111 503.0229724 535.2889418236 -224.95105490.7980999 15.0941916 -57.3406431 485.034386 527.113982672198 -241.921896

100 14.1421356 -60.6217783 467.0411097 518.744818428865 -258.819045108.927807 13.1211806 -63.4415451 449.0484592 510.161028372501 -275.637356

117.55705 12.0363005 -65.7784835 431.0617497 501.342871363424 -292.371705125.864078 10.8927807 -67.6148078 413.0862951 492.27135201001 -309.016994

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133.826121 9.6961924 -68.9365427 395.1274061 482.928284679271 -325.568154141.421356 8.45236523 -69.7336289 377.1903883 473.29635517322 -342.020143148.628965 7.16735899 -70 359.280541 463.359179899349 -358.36795155.429192 5.84743409 -69.7336289 341.4031554 453.101362370619 -374.606593161.803399 4.49902109 -68.9365427 323.563513 442.508546877719 -390.731128167.734114 3.1286893 -67.6148078 305.766884 431.567469184334 -406.736643173.205081 1.74311485 -65.7784835 288.0185256 420.266004104366 -422.618262178.201305 0.34904813 -63.4415451 270.3236805 408.593209828777 -438.371147182.709092 -1.04671912 -60.6217783 252.6875754 396.53936887875 -453.9905186.716085 -2.43738687 -57.3406431 235.1154193 384.096025571217 -469.471563190.211303 -3.81617991 -53.623111 217.6124017 371.256019892521 -484.80962193.185165 -5.1763809 -49.4974747 200.1836915 358.013517685912 -500

195.62952 -6.51136309 -44.9951327 182.8344349 344.364037068833 -515.038075197.537668 -7.81462257 -40.1503505 165.5697543 330.304471006381 -529.919264198.904379 -9.07980999 -35 148.3947465 315.83310597799 -544.639035199.725907 -10.3007615 -29.5832783 131.3144809 300.949636685224 -559.192903

200 -11.4715287 -23.94141 114.3339986 285.65517675949 -573.576436199.725907 -12.5864078 -18.1173332 97.45831024 269.952265439601 -587.785252198.904379 -13.6399672 -12.1553724 80.69239487 253.844870200241 -601.815023197.537668 -14.627074 -6.10090199 64.04119822 237.33838532361 -615.661475

195.62952 -15.5429192 2.57306E-13 47.50963126 220.439626417723 -629.320391193.185165 -16.3830409 6.10090199 31.10256873 203.156820896086 -642.78761190.211303 -17.143346 12.1553724 14.82484761 185.499594444585 -656.059029186.716085 -17.8201305 18.1173332 -1.31873431 167.478953512566 -669.130606182.709092 -18.4100971 23.94141 -17.3234199 149.107263876053 -681.99836178.201305 -18.9103715 29.5832783 -33.1844943 130.398225331884 -694.65837173.205081 -19.3185165 35 -48.8972859 111.366842592283 -707.106781167.734114 -19.6325437 40.1503505 -64.4571684 92.0293924598049 -719.3398161.803399 -19.850923 44.9951327 -79.8595617 72.403387372974 -731.353702155.429192 -19.9725907 49.4974747 -95.0999336 52.5075354228268 -743.144825148.628965 -19.9969539 53.623111 -110.173801 32.3616969504065 -754.70958141.421356 -19.923894 57.3406431 -125.076731 11.9868378446983 -766.044443133.826121 -19.7537668 60.6217783 -139.804344 -8.5950203305047 -777.145961125.864078 -19.4874013 63.4415451 -154.352311 -29.3608532434088 -788.010754

117.55705 -19.1260951 65.7784835 -168.71636 -50.2866895890743 -798.63551108.927807 -18.6716085 67.6148078 -182.892274 -71.3476696186474 -809.016994

100 -18.1261557 68.9365427 -196.875893 -92.5181062417458 -819.15204490.7980999 -17.4923941 69.7336289 -210.663116 -113.771548533765 -829.03757381.3473286 -16.7734114 70 -224.249899 -135.08084747312 -838.67056871.6735899 -15.9727102 69.7336289 -237.632263 -156.418223727392 -848.04809661.8033989 -15.0941916 68.9365427 -250.806289 -177.755337301647 -857.167301

51.763809 -14.1421356 67.6148078 -263.76812 -199.063358857082 -866.02540441.5823382 -13.1211806 65.7784835 -276.513966 -220.31304250351 -874.619707

31.286893 -12.0363005 63.4415451 -289.040101 -241.474799865225 -882.94759320.9056927 -10.8927807 60.6217783 -301.342865 -262.518775216184 -891.00652410.4671912 -9.6961924 57.3406431 -313.418669 -283.414921477533 -898.794046-1.4708E-13 -8.45236523 53.623111 -325.26399 -304.133076868187 -906.307787-10.4671912 -7.16735899 49.4974747 -336.875376 -324.643041997263 -913.545458

Page 127: TAREA 3-Muestro de señales eléctricas para relés numéricos

-20.9056927 -5.84743409 44.9951327 -348.249446 -344.914657186075 -920.504853-31.286893 -4.49902109 40.1503505 -359.382891 -364.917879806678 -927.183855

-41.5823382 -3.1286893 35 -370.272475 -384.622861423972 -933.580426-51.763809 -1.74311485 29.5832783 -380.915037 -404.000024528879 -939.692621

-61.8033989 -0.34904813 23.94141 -391.307491 -423.020138651259 -945.518576-71.6735899 1.04671912 18.1173332 -401.446825 -441.654395642981 -951.056516-81.3473286 2.43738687 12.1553724 -411.330107 -459.874483923752 -956.304756-90.7980999 3.81617991 6.10090199 -420.95448 -477.652661485344 -961.261696

-100 5.1763809 -4.3329E-17 -430.317167 -494.961827453084 -965.925826-108.927807 6.51136309 -6.10090199 -439.41547 -511.775592007645 -970.295726

-117.55705 7.81462257 -12.1553724 -448.246773 -528.068344474578 -974.370065-125.864078 9.07980999 -18.1173332 -456.808539 -543.815319394108 -978.147601-133.826121 10.3007615 -23.94141 -465.098315 -558.992660389354 -981.627183-141.421356 11.4715287 -29.5832783 -473.113728 -573.577481657088 -984.807753-148.628965 12.5864078 -35 -480.85249 -587.547926911865 -987.688341-155.429192 13.6399672 -40.1503505 -488.312398 -600.8832256212 -990.268069-161.803399 14.627074 -44.9951327 -495.491333 -613.563746377116 -992.546152-167.734114 15.5429192 -49.4974747 -502.38726 -625.571047257141 -994.521895-173.205081 16.3830409 -53.623111 -508.998232 -636.887923036258 -996.194698-178.201305 17.143346 -57.3406431 -515.322387 -647.498449119904 -997.56405-182.709092 17.8201305 -60.6217783 -521.357952 -657.388022077192 -998.629535-186.716085 18.4100971 -63.4415451 -527.10324 -666.543396662949 -999.390827-190.211303 18.9103715 -65.7784835 -532.556654 -674.952719226755 -999.847695-193.185165 19.3185165 -67.6148078 -537.716683 -682.605557417237 -1000

-195.62952 19.6325437 -68.9365427 -542.581909 -689.492926099988 -999.847695-197.537668 19.850923 -69.7336289 -547.151 -695.607309418024 -999.390827-198.904379 19.9725907 -70 -551.422717 -700.942678934235 -998.629535-199.725907 19.9969539 -69.7336289 -555.395908 -705.494507806166 -997.56405

-200 19.923894 -68.9365427 -559.069516 -709.259780954367 -996.194698-199.725907 19.7537668 -67.6148078 -562.442571 -712.237001196602 -994.521895-198.904379 19.4874013 -65.7784835 -565.514197 -714.426191331361 -992.546152-197.537668 19.1260951 -63.4415451 -568.283609 -715.828892165251 -990.268069

-195.62952 18.6716085 -60.6217783 -570.750113 -716.448156490059 -987.688341-193.185165 18.1261557 -57.3406431 -572.913109 -716.288539026444 -984.807753

0 0.005 0.01 0.015 0.02 0.025 0.030

100

200

300

400

500

600

700

800

900

COMPONENTE DC

COMPONENTE DC

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ONDA FUNDAMENTAL

ONDA FUNDAMENTAL

Page 128: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.030

100

200

300

400

500

600

700

800

900

COMPONENTE DC

COMPONENTE DC

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ARMÓNICOS

FUNDAMENTAL 2do Armónico 3er Armónico 4to Armónico 5to Armónico

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

ONDA FUNDAMENTAL

ONDA FUNDAMENTAL

Page 129: TAREA 3-Muestro de señales eléctricas para relés numéricos

Reconstrucción de la onda fundamental [A]Y X V_PICO TAN^-1 45° ÁNG.[Rad] ÁNG.[Grad.]

984.807753 173.648178 1000 1.3962634 0.78539816 0.61086524 35Reconstrucción de la onda fundamental + Componente DC [B]

Y X V_PICO TAN^-1 45° ÁNG.[Rad] ÁNG.[Grad.]989.773936 178.123081 1005.67404 1.39273884 0.78539816 0.60734068 34.7980576

Reconstrucción de la onda fundamental + Componente DC + Armónicos pares[C]Y X V_PICO TAN^-1 45° ÁNG.[Rad] ÁNG.[Grad.]

789.773936 178.123081 809.611451 1.34897102 0.78539816 0.56357285 32.2903459

Recons [A] Recons [B] Recons [C]819.152044 825.8279 684.406544809.016994 815.685771 676.754097

798.63551 805.295176 668.895504788.010754 794.65928 660.833158777.145961 783.781323 652.569517766.044443 772.664619 644.107097

754.70958 761.312553 635.448475743.144825 749.728585 626.59629731.353702 737.916242 617.553237

719.3398 725.879122 608.322072707.106781 713.620893 598.905605

694.65837 701.145288 589.306707681.99836 688.456107 579.5283

669.130606 675.557215 569.573363656.059029 662.452543 559.444928

642.78761 649.146081 549.146081629.320391 635.641883 538.679959615.661475 621.944062 528.049749601.815023 608.056791 517.258691587.785252 593.9843 506.310071573.576436 579.730876 495.207223559.192903 565.30086 483.953531544.639035 550.698647 472.552422529.919264 535.928687 461.007368515.038075 520.995478 449.321888

500 505.903568 437.49954484.80962 490.657555 425.543925

469.471563 475.262084 413.458685453.9905 459.721842 401.247501

438.371147 444.041565 388.914094422.618262 428.226029 376.46222406.736643 412.280051 363.895672390.731128 396.208488 351.218278374.606593 380.016237 338.433899

358.36795 363.708229 325.54643342.020143 347.289431 312.559796325.568154 330.764846 299.477953

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Onda fundamental

ONDA FUNDAMENTAL Fundamental sin el desfase

𝑉[𝐴]=1000cos(377+35°)𝑉[𝐵]=1005,7cos(377+34,8°)𝑉[𝐶]=1005,7cos(377+34,8°)

𝑉[𝐴]=1000sen(377+125°)𝑉[𝐵]=1005,7sen(377+124,8°)𝑉[𝐶]=1005,7sen(377+124,8°)

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción de [A]

Reconstrucción de [A]

Page 130: TAREA 3-Muestro de señales eléctricas para relés numéricos

309.016994 314.139507 286.304887292.371705 297.418478 273.04461275.637356 280.606853 259.70116258.819045 263.709751 246.278603241.921896 246.732322 232.781027224.951054 229.679735 219.212544207.911691 212.557186 205.577286190.808995 195.369889 191.879408173.648178 178.123081 178.123081156.434465 160.822015 164.312496139.173101 143.471961 150.45186121.869343 126.078204 136.545395104.528463 108.646043 122.59733787.1557427 91.1807865 108.61193569.7564737 73.6877558 94.593448452.3359562 56.172279 80.546147734.8994967 38.6396917 66.474311817.4524064 21.0953343 52.3822273

1.22465E-13 3.54455104 38.2741866-17.4524064 -14.0073119 24.1544872-34.8994967 -31.5549081 10.0274301-52.3359562 -49.0928923 -4.10268143-69.7564737 -66.6159224 -18.2315432-87.1557427 -84.1186606 -32.3548516-104.528463 -101.595775 -46.4683043-121.869343 -119.041943 -60.5676023-139.173101 -136.45185 -74.6484508-156.434465 -153.820192 -88.7065607-173.648178 -171.141678 -102.73765-190.808995 -188.411034 -116.737444-207.911691 -205.622997 -130.701679-224.951054 -222.772326 -144.6261-241.921896 -239.853796 -158.506468-258.819045 -256.862205 -172.338552-275.637356 -273.79237 -186.118141-292.371705 -290.639136 -199.841036-309.016994 -307.397371 -213.503058-325.568154 -324.061969 -227.100045-342.020143 -340.627855 -240.627855

-358.36795 -357.089982 -254.082367-374.606593 -373.443336 -267.459483-390.731128 -389.682936 -280.755129-406.736643 -405.803834 -293.965253-422.618262 -421.801121 -307.085833-438.371147 -437.669923 -320.112872

-453.9905 -453.405406 -333.042402-469.471563 -469.002778 -345.870483

-484.80962 -484.457287 -358.593209

Page 131: TAREA 3-Muestro de señales eléctricas para relés numéricos

-500 -499.764226 -371.206704-515.038075 -514.918931 -383.707125-529.919264 -529.916788 -396.090666-544.639035 -544.753226 -408.353554-559.192903 -559.423728 -420.492053-573.576436 -573.923823 -432.502467-587.785252 -588.249096 -444.381136-601.815023 -602.395182 -456.124442-615.661475 -616.357773 -467.728808-629.320391 -630.132616 -479.1907

-642.78761 -643.715514 -490.506625-656.059029 -657.10233 -501.673137-669.130606 -670.288986 -512.686835

-681.99836 -683.271466 -523.544364-694.65837 -696.045814 -534.242415

-707.106781 -708.608141 -544.777732-719.3398 -720.954618 -555.147103

-731.353702 -733.081486 -565.347372-743.144825 -744.98505 -575.37543

-754.70958 -756.661684 -585.228224-766.044443 -768.107832 -594.902751-777.145961 -779.320006 -604.396065-788.010754 -790.294793 -613.705274

-798.63551 -801.028847 -622.827543-809.016994 -811.518901 -631.760092-819.152044 -821.761758 -640.500201-829.037573 -831.754299 -649.045207-838.670568 -841.493479 -657.392508-848.048096 -850.976332 -665.539561-857.167301 -860.19997 -673.483884-866.025404 -869.161582 -681.223058-874.619707 -877.858439 -688.754724-882.947593 -886.287892 -696.076589-891.006524 -894.447373 -703.186422-898.794046 -902.334397 -710.082058-906.307787 -909.946561 -716.761395-913.545458 -917.281546 -723.222401-920.504853 -924.337119 -729.463106-927.183855 -931.111129 -735.481609-933.580426 -937.601514 -741.276078-939.692621 -943.806297 -746.844746-945.518576 -949.723587 -752.185919-951.056516 -955.351582 -757.297968-956.304756 -960.688568 -762.179337-961.261696 -965.732918 -766.828539-965.925826 -970.483097 -771.244158-970.295726 -974.937658 -775.424848-974.370065 -979.095243 -779.369336

Page 132: TAREA 3-Muestro de señales eléctricas para relés numéricos

-978.147601 -982.954586 -783.076421-981.627183 -986.514512 -786.544973-984.807753 -989.773936 -789.773936-987.688341 -992.731865 -792.762326-990.268069 -995.387398 -795.509232-992.546152 -997.739727 -798.01382-994.521895 -999.788134 -800.275324-996.194698 -1001.532 -802.293057

-997.56405 -1002.97078 -804.066403-998.629535 -1004.10405 -805.594823-999.390827 -1004.93147 -806.877851-999.847695 -1005.45276 -807.915097

-1000 -1005.66779 -808.706243-999.847695 -1005.57649 -809.25105-999.390827 -1005.17887 -809.549351-998.629535 -1004.47507 -809.601056

-997.56405 -1003.46529 -809.406148-996.194698 -1002.14985 -808.964687-994.521895 -1000.52915 -808.276808-992.546152 -998.603671 -807.34272-990.268069 -996.37401 -806.162707-987.688341 -993.840844 -804.737129-984.807753 -991.004945 -803.066421-981.627183 -987.867176 -801.151091-978.147601 -984.428493 -798.991722-974.370065 -980.689944 -796.588973-970.295726 -976.652667 -793.943575-965.925826 -972.317892 -791.056335-961.261696 -967.68694 -787.92813-956.304756 -962.761221 -784.559916-951.056516 -957.542235 -780.952717-945.518576 -952.031573 -777.107631-939.692621 -946.230913 -773.025832-933.580426 -940.142021 -768.708561-927.183855 -933.766754 -764.157134-920.504853 -927.107052 -759.372938-913.545458 -920.164944 -754.357429-906.307787 -912.942545 -749.112136-898.794046 -905.442055 -743.638656-891.006524 -897.665758 -737.938656-882.947593 -889.616024 -732.013873-874.619707 -881.295304 -725.866111-866.025404 -872.706133 -719.497244-857.167301 -863.851127 -712.909211-848.048096 -854.732984 -706.104019-838.670568 -845.354481 -699.08374-829.037573 -835.718474 -691.850514-819.152044 -825.8279 -684.406544

Page 133: TAREA 3-Muestro de señales eléctricas para relés numéricos

-809.016994 -815.685771 -676.754097-798.63551 -805.295176 -668.895504

-788.010754 -794.65928 -660.833158-777.145961 -783.781323 -652.569517-766.044443 -772.664619 -644.107097

-754.70958 -761.312553 -635.448475-743.144825 -749.728585 -626.59629-731.353702 -737.916242 -617.553237

-719.3398 -725.879122 -608.322072-707.106781 -713.620893 -598.905605

-694.65837 -701.145288 -589.306707-681.99836 -688.456107 -579.5283

-669.130606 -675.557215 -569.573363-656.059029 -662.452543 -559.444928

-642.78761 -649.146081 -549.146081-629.320391 -635.641883 -538.679959-615.661475 -621.944062 -528.049749-601.815023 -608.056791 -517.258691-587.785252 -593.9843 -506.310071-573.576436 -579.730876 -495.207223-559.192903 -565.30086 -483.953531-544.639035 -550.698647 -472.552422-529.919264 -535.928687 -461.007368-515.038075 -520.995478 -449.321888

-500 -505.903568 -437.49954-484.80962 -490.657555 -425.543925

-469.471563 -475.262084 -413.458685-453.9905 -459.721842 -401.247501

-438.371147 -444.041565 -388.914094-422.618262 -428.226029 -376.46222-406.736643 -412.280051 -363.895672-390.731128 -396.208488 -351.218278-374.606593 -380.016237 -338.433899

-358.36795 -363.708229 -325.54643-342.020143 -347.289431 -312.559796-325.568154 -330.764846 -299.477953-309.016994 -314.139507 -286.304887-292.371705 -297.418478 -273.04461-275.637356 -280.606853 -259.70116-258.819045 -263.709751 -246.278603-241.921896 -246.732322 -232.781027-224.951054 -229.679735 -219.212544-207.911691 -212.557186 -205.577286-190.808995 -195.369889 -191.879408-173.648178 -178.123081 -178.123081-156.434465 -160.822015 -164.312496-139.173101 -143.471961 -150.45186-121.869343 -126.078204 -136.545395

Page 134: TAREA 3-Muestro de señales eléctricas para relés numéricos

-104.528463 -108.646043 -122.597337-87.1557427 -91.1807865 -108.611935-69.7564737 -73.6877558 -94.5934484-52.3359562 -56.172279 -80.5461477-34.8994967 -38.6396917 -66.4743118-17.4524064 -21.0953343 -52.3822273-2.4493E-13 -3.54455104 -38.274186617.4524064 14.0073119 -24.154487234.8994967 31.5549081 -10.027430152.3359562 49.0928923 4.1026814369.7564737 66.6159224 18.231543287.1557427 84.1186606 32.3548516104.528463 101.595775 46.4683043121.869343 119.041943 60.5676023139.173101 136.45185 74.6484508156.434465 153.820192 88.7065607173.648178 171.141678 102.73765190.808995 188.411034 116.737444207.911691 205.622997 130.701679224.951054 222.772326 144.6261241.921896 239.853796 158.506468258.819045 256.862205 172.338552275.637356 273.79237 186.118141292.371705 290.639136 199.841036309.016994 307.397371 213.503058325.568154 324.061969 227.100045342.020143 340.627855 240.627855

358.36795 357.089982 254.082367374.606593 373.443336 267.459483390.731128 389.682936 280.755129406.736643 405.803834 293.965253422.618262 421.801121 307.085833438.371147 437.669923 320.112872

453.9905 453.405406 333.042402469.471563 469.002778 345.870483

484.80962 484.457287 358.593209500 499.764226 371.206704

515.038075 514.918931 383.707125529.919264 529.916788 396.090666544.639035 544.753226 408.353554559.192903 559.423728 420.492053573.576436 573.923823 432.502467587.785252 588.249096 444.381136601.815023 602.395182 456.124442615.661475 616.357773 467.728808629.320391 630.132616 479.1907

642.78761 643.715514 490.506625656.059029 657.10233 501.673137

Page 135: TAREA 3-Muestro de señales eléctricas para relés numéricos

669.130606 670.288986 512.686835681.99836 683.271466 523.544364694.65837 696.045814 534.242415

707.106781 708.608141 544.777732719.3398 720.954618 555.147103

731.353702 733.081486 565.347372743.144825 744.98505 575.37543

754.70958 756.661684 585.228224766.044443 768.107832 594.902751777.145961 779.320006 604.396065788.010754 790.294793 613.705274

798.63551 801.028847 622.827543809.016994 811.518901 631.760092819.152044 821.761758 640.500201829.037573 831.754299 649.045207838.670568 841.493479 657.392508848.048096 850.976332 665.539561857.167301 860.19997 673.483884866.025404 869.161582 681.223058874.619707 877.858439 688.754724882.947593 886.287892 696.076589891.006524 894.447373 703.186422898.794046 902.334397 710.082058906.307787 909.946561 716.761395913.545458 917.281546 723.222401920.504853 924.337119 729.463106927.183855 931.111129 735.481609933.580426 937.601514 741.276078939.692621 943.806297 746.844746945.518576 949.723587 752.185919951.056516 955.351582 757.297968956.304756 960.688568 762.179337961.261696 965.732918 766.828539965.925826 970.483097 771.244158970.295726 974.937658 775.424848974.370065 979.095243 779.369336978.147601 982.954586 783.076421981.627183 986.514512 786.544973984.807753 989.773936 789.773936987.688341 992.731865 792.762326990.268069 995.387398 795.509232992.546152 997.739727 798.01382994.521895 999.788134 800.275324996.194698 1001.532 802.293057

997.56405 1002.97078 804.066403998.629535 1004.10405 805.594823999.390827 1004.93147 806.877851999.847695 1005.45276 807.915097

Page 136: TAREA 3-Muestro de señales eléctricas para relés numéricos

1000 1005.66779 808.706243999.847695 1005.57649 809.25105999.390827 1005.17887 809.549351998.629535 1004.47507 809.601056

997.56405 1003.46529 809.406148996.194698 1002.14985 808.964687994.521895 1000.52915 808.276808992.546152 998.603671 807.34272990.268069 996.37401 806.162707987.688341 993.840844 804.737129984.807753 991.004945 803.066421981.627183 987.867176 801.151091978.147601 984.428493 798.991722974.370065 980.689944 796.588973970.295726 976.652667 793.943575965.925826 972.317892 791.056335961.261696 967.68694 787.92813956.304756 962.761221 784.559916951.056516 957.542235 780.952717945.518576 952.031573 777.107631939.692621 946.230913 773.025832933.580426 940.142021 768.708561927.183855 933.766754 764.157134920.504853 927.107052 759.372938913.545458 920.164944 754.357429906.307787 912.942545 749.112136898.794046 905.442055 743.638656891.006524 897.665758 737.938656882.947593 889.616024 732.013873874.619707 881.295304 725.866111866.025404 872.706133 719.497244857.167301 863.851127 712.909211848.048096 854.732984 706.104019838.670568 845.354481 699.08374829.037573 835.718474 691.850514819.152044 825.8279 684.406544809.016994 815.685771 676.754097

798.63551 805.295176 668.895504788.010754 794.65928 660.833158777.145961 783.781323 652.569517766.044443 772.664619 644.107097

754.70958 761.312553 635.448475743.144825 749.728585 626.59629731.353702 737.916242 617.553237

719.3398 725.879122 608.322072707.106781 713.620893 598.905605

694.65837 701.145288 589.306707681.99836 688.456107 579.5283

Page 137: TAREA 3-Muestro de señales eléctricas para relés numéricos

669.130606 675.557215 569.573363656.059029 662.452543 559.444928

642.78761 649.146081 549.146081629.320391 635.641883 538.679959615.661475 621.944062 528.049749601.815023 608.056791 517.258691587.785252 593.9843 506.310071573.576436 579.730876 495.207223559.192903 565.30086 483.953531544.639035 550.698647 472.552422529.919264 535.928687 461.007368515.038075 520.995478 449.321888

500 505.903568 437.49954484.80962 490.657555 425.543925

469.471563 475.262084 413.458685453.9905 459.721842 401.247501

438.371147 444.041565 388.914094422.618262 428.226029 376.46222406.736643 412.280051 363.895672390.731128 396.208488 351.218278374.606593 380.016237 338.433899

358.36795 363.708229 325.54643342.020143 347.289431 312.559796325.568154 330.764846 299.477953309.016994 314.139507 286.304887292.371705 297.418478 273.04461275.637356 280.606853 259.70116258.819045 263.709751 246.278603241.921896 246.732322 232.781027224.951054 229.679735 219.212544207.911691 212.557186 205.577286190.808995 195.369889 191.879408173.648178 178.123081 178.123081156.434465 160.822015 164.312496139.173101 143.471961 150.45186121.869343 126.078204 136.545395104.528463 108.646043 122.59733787.1557427 91.1807865 108.61193569.7564737 73.6877558 94.593448452.3359562 56.172279 80.546147734.8994967 38.6396917 66.474311817.4524064 21.0953343 52.3822273

3.67394E-13 3.54455104 38.2741866-17.4524064 -14.0073119 24.1544872-34.8994967 -31.5549081 10.0274301-52.3359562 -49.0928923 -4.10268143-69.7564737 -66.6159224 -18.2315432-87.1557427 -84.1186606 -32.3548516

Page 138: TAREA 3-Muestro de señales eléctricas para relés numéricos

-104.528463 -101.595775 -46.4683043-121.869343 -119.041943 -60.5676023-139.173101 -136.45185 -74.6484508-156.434465 -153.820192 -88.7065607-173.648178 -171.141678 -102.73765-190.808995 -188.411034 -116.737444-207.911691 -205.622997 -130.701679-224.951054 -222.772326 -144.6261-241.921896 -239.853796 -158.506468-258.819045 -256.862205 -172.338552-275.637356 -273.79237 -186.118141-292.371705 -290.639136 -199.841036-309.016994 -307.397371 -213.503058-325.568154 -324.061969 -227.100045-342.020143 -340.627855 -240.627855

-358.36795 -357.089982 -254.082367-374.606593 -373.443336 -267.459483-390.731128 -389.682936 -280.755129-406.736643 -405.803834 -293.965253-422.618262 -421.801121 -307.085833-438.371147 -437.669923 -320.112872

-453.9905 -453.405406 -333.042402-469.471563 -469.002778 -345.870483

-484.80962 -484.457287 -358.593209-500 -499.764226 -371.206704

-515.038075 -514.918931 -383.707125-529.919264 -529.916788 -396.090666-544.639035 -544.753226 -408.353554-559.192903 -559.423728 -420.492053-573.576436 -573.923823 -432.502467-587.785252 -588.249096 -444.381136-601.815023 -602.395182 -456.124442-615.661475 -616.357773 -467.728808-629.320391 -630.132616 -479.1907

-642.78761 -643.715514 -490.506625-656.059029 -657.10233 -501.673137-669.130606 -670.288986 -512.686835

-681.99836 -683.271466 -523.544364-694.65837 -696.045814 -534.242415

-707.106781 -708.608141 -544.777732-719.3398 -720.954618 -555.147103

-731.353702 -733.081486 -565.347372-743.144825 -744.98505 -575.37543

-754.70958 -756.661684 -585.228224-766.044443 -768.107832 -594.902751-777.145961 -779.320006 -604.396065-788.010754 -790.294793 -613.705274

-798.63551 -801.028847 -622.827543

Page 139: TAREA 3-Muestro de señales eléctricas para relés numéricos

-809.016994 -811.518901 -631.760092-819.152044 -821.761758 -640.500201-829.037573 -831.754299 -649.045207-838.670568 -841.493479 -657.392508-848.048096 -850.976332 -665.539561-857.167301 -860.19997 -673.483884-866.025404 -869.161582 -681.223058-874.619707 -877.858439 -688.754724-882.947593 -886.287892 -696.076589-891.006524 -894.447373 -703.186422-898.794046 -902.334397 -710.082058-906.307787 -909.946561 -716.761395-913.545458 -917.281546 -723.222401-920.504853 -924.337119 -729.463106-927.183855 -931.111129 -735.481609-933.580426 -937.601514 -741.276078-939.692621 -943.806297 -746.844746-945.518576 -949.723587 -752.185919-951.056516 -955.351582 -757.297968-956.304756 -960.688568 -762.179337-961.261696 -965.732918 -766.828539-965.925826 -970.483097 -771.244158-970.295726 -974.937658 -775.424848-974.370065 -979.095243 -779.369336-978.147601 -982.954586 -783.076421-981.627183 -986.514512 -786.544973-984.807753 -989.773936 -789.773936-987.688341 -992.731865 -792.762326-990.268069 -995.387398 -795.509232-992.546152 -997.739727 -798.01382-994.521895 -999.788134 -800.275324-996.194698 -1001.532 -802.293057

-997.56405 -1002.97078 -804.066403-998.629535 -1004.10405 -805.594823-999.390827 -1004.93147 -806.877851-999.847695 -1005.45276 -807.915097

-1000 -1005.66779 -808.706243-999.847695 -1005.57649 -809.25105-999.390827 -1005.17887 -809.549351-998.629535 -1004.47507 -809.601056

-997.56405 -1003.46529 -809.406148-996.194698 -1002.14985 -808.964687-994.521895 -1000.52915 -808.276808-992.546152 -998.603671 -807.34272-990.268069 -996.37401 -806.162707-987.688341 -993.840844 -804.737129-984.807753 -991.004945 -803.066421-981.627183 -987.867176 -801.151091

Page 140: TAREA 3-Muestro de señales eléctricas para relés numéricos

-978.147601 -984.428493 -798.991722-974.370065 -980.689944 -796.588973-970.295726 -976.652667 -793.943575-965.925826 -972.317892 -791.056335-961.261696 -967.68694 -787.92813-956.304756 -962.761221 -784.559916-951.056516 -957.542235 -780.952717-945.518576 -952.031573 -777.107631-939.692621 -946.230913 -773.025832-933.580426 -940.142021 -768.708561-927.183855 -933.766754 -764.157134-920.504853 -927.107052 -759.372938-913.545458 -920.164944 -754.357429-906.307787 -912.942545 -749.112136-898.794046 -905.442055 -743.638656-891.006524 -897.665758 -737.938656-882.947593 -889.616024 -732.013873-874.619707 -881.295304 -725.866111-866.025404 -872.706133 -719.497244-857.167301 -863.851127 -712.909211-848.048096 -854.732984 -706.104019-838.670568 -845.354481 -699.08374-829.037573 -835.718474 -691.850514-819.152044 -825.8279 -684.406544-809.016994 -815.685771 -676.754097

-798.63551 -805.295176 -668.895504-788.010754 -794.65928 -660.833158-777.145961 -783.781323 -652.569517-766.044443 -772.664619 -644.107097

-754.70958 -761.312553 -635.448475-743.144825 -749.728585 -626.59629-731.353702 -737.916242 -617.553237

-719.3398 -725.879122 -608.322072-707.106781 -713.620893 -598.905605

0 0.005 0.01 0.015 0.02 0.025 0.030

100

200

300

400

500

600

700

800

900

COMPONENTE DC

COMPONENTE DC

Page 141: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.030

100

200

300

400

500

600

700

800

900

COMPONENTE DC

COMPONENTE DC

Page 142: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Onda fundamental

ONDA FUNDAMENTAL Fundamental sin el desfase

𝑉[𝐴]=1000cos(377+35°)𝑉[𝐵]=1005,7cos(377+34,8°)𝑉[𝐶]=1005,7cos(377+34,8°)

𝑉[𝐴]=1000sen(377+125°)𝑉[𝐵]=1005,7sen(377+124,8°)𝑉[𝐶]=1005,7sen(377+124,8°)

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción de [A]

Reconstrucción de [A]

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción de [B]

Reconstrucción de[ B]

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-500

0

500

1000

1500

2000

Onda fund.+ Comp. DC

Onda fund.+ Comp. DC

Page 143: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción de [B]

Reconstrucción de[ B]

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-500

0

500

1000

1500

2000

Onda fund.+ Comp. DC

Onda fund.+ Comp. DC

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-500

0

500

1000

1500

2000

2500

Onda fund.+Comp.DC+Armón. Pares

Onda fund.+Comp.DC+Armón. Pares

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-800

-600

-400

-200

0

200

400

600

800

1000

Reconstrucción [C]

Reconstrucción [C]

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x2

Reconstrucción [C]

Page 144: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x2

Reconstrucción [C]

Page 145: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-500

0

500

1000

1500

2000

2500

Onda fund.+Comp.DC+Armón. Pares

Onda fund.+Comp.DC+Armón. Pares

0 0.005 0.01 0.015 0.02 0.025 0.03

-1000

-800

-600

-400

-200

0

200

400

600

800

1000

Reconstrucción [C]

Reconstrucción [C]

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x2

Reconstrucción [C]

Page 146: TAREA 3-Muestro de señales eléctricas para relés numéricos

0 0.005 0.01 0.015 0.02 0.025 0.03

-1500

-1000

-500

0

500

1000

1500

Reconstrucción [C]-Armónicos x2

Reconstrucción [C]