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Tabel 3.3. Bilangan Random Uniform

Tahun Jan. Feb. Mar. Apr. Mei Juni Juli Agust. Sept. Okt. Nop. Des.

1 0.38200018 0.10068056 0.59648427 0.89910581 0.88460952 0.95846431 0.01449629 0.4074221 0.86324656 0.13858455 0.24503311 0.04547258

2 0.03238014 0.16412854 0.21961119 0.01709037 0.28504288 0.34308908 0.55363628 0.35737175 0.37183752 0.35560167 0.9103061 0.46601764

3 0.42616047 0.30390332 0.97570727 0.80666524 0.99124119 0.25626392 0.9516892 0.05343791 0.70503861 0.81652272 0.97250282 0.46632282

4 0.30021058 0.750206 0.35148167 0.77565844 0.07434309 0.19843135 0.06405835 0.35834834 0.48704489 0.51121555 0.373455 0.98590045

5 0.04071169 0.23071993 0.00497452 0.92614521 0.10031434 0.25669118 0.77568896 0.67964721 0.80910672 0.7243263 0.08505509 0.13226722

6 0.75615711 0.62651448 0.17365032 0.40479751 0.55232398 0.71150853 0.55516221 0.18115787 0.97027497 0.68694113 0.52879421 0.79668569

7 0.80565813 0.26221503 0.17795343 0.86675619 0.11484115 0.05951109 0.76155889 0.73839534 0.98629719 0.92559587 0.9038667 0.54496902

8 0.50077822 0.67497787 0.48982208 0.14578692 0.03796503 0.79625843 0.6715598 0.73168126 0.58452101 0.15222633 0.89217811 0.37781915

9 0.20047609 0.20578631 0.33396405 0.3251442 0.30021058 0.80217902 0.69609668 0.27149266 0.90404981 0.03912473 0.70903653 0.45371868

10 0.51664785 0.25653859 0.29129917 0.8021485 0.78902554 0.67595447 0.75533311 0.94851527 0.61940367 0.72206793 0.96804712 0.36860256

11 0.85042879 0.55705435 0.87307352 0.4410535 0.21774957 0.859035 0.28034303 0.70329905 0.70738853 0.37583544 0.32969146 0.08597064

12 0.97686697 0.28553117 0.53431806 0.40739158 0.99771111 0.89471114 0.81081576 0.90859706 0.57451094 0.70607624 0.40144047 0.11102634

13 0.89736625 0.38633381 0.0957976 0.77764214 0.78356273 0.66573077 0.65684988 0.25846126 0.76519059 0.70030824 0.85882138 0.0028077

14 0.67860958 0.92883084 0.04248177 0.51814325 0.91213721 0.95431379 0.59431745 0.55766472 0.96816919 0.48301645 0.25562304 0.81789605

15 0.49604785 0.85064241 0.66811121 0.92693869 0.4517655 0.16809595 0.06195257 0.00515763 0.54109317 0.61760308 0.49290445 0.57945494

Sumber : Hasil Perhitungan

Tahun Jan. Feb. Mar. Apr. Mei Juni Juli Agt. Sept. Okt. Nop. Des.Jumlah Rerata

ke -

1 810.35 66.04 42.39 145.71 151.11 25.60 49.81 314.86 223.49 1162.30 5.64 453.75 3451.05 287.59

2 546.98 59.22 403.93 240.86 416.42 325.78 813.78 14.25 16.81 183.56 141.98 507.58 3671.17 305.93

3 41.95 163.60 67.61 6.27 5.29 45.78 111.28 179.00 30.51 126.21 35.74 9.27 822.51 68.54

4 283.05 38.16 115.35 2.40 96.00 175.27 238.44 77.73 133.89 139.87 3.90 5.61 1309.67 109.14

5 1249.27 214.68 49.84 0.72 321.52 16.74 248.08 12.23 40.73 83.83 5.94 186.13 2429.72 202.48

6 29.98 23.77 9.34 0.70 2.90 4.72 3.52 0.00 0.00 12.21 3.12 14.91 105.16 8.76

7 0.15 0.09 3.18 8.10 10.43 4.33 1.27 0.10 1.68 0.03 2.39 0.14 31.89 2.66

8 1.63 30.24 0.50 28.19 2.05 1.63 18.41 23.46 20.78 8.25 12.67 76.87 224.69 18.72

9 0.09 3.81 0.02 14.56 2.06 0.40 25.99 7.29 2.63 21.73 13.28 18.48 110.35 9.20

10 146.38 27.38 43.21 7.40 30.92 1.13 0.04 0.00 1.70 1.50 1.43 2.03 263.12 21.93

11 51.28 111.80 25.27 3.04 9.92 0.58 5.67 18.93 16.56 6.42 1.14 45.49 296.10 24.68

12 193.98 17.17 1.96 4.38 7.57 35.16 74.13 6.97 0.98 50.95 4.14 27.84 425.23 35.44

13 19.56 2.57 4.65 87.54 41.65 0.31 0.17 14.38 36.12 97.12 8.61 15.45 328.13 27.34

14 13.12 6.92 26.62 40.09 11.01 6.72 0.80 0.35 0.97 0.56 2.09 27.00 136.25 11.35

15 6.63 3.59 8.44 112.32 13.49 15.72 18.36 3.71 11.49 103.32 3.43 39.08 339.57 28.30

16 195.92 0.24 6.06 7.15 21.18 5.36 74.34 1.41 0.02 14.93 4.30 59.38 390.28 32.52

17 0.08 0.11 0.51 6.81 2.84 4.01 4.87 0.13 0.21 38.49 4.71 34.11 96.88 8.07

18 16.22 3.23 0.21 0.55 1.05 8.94 14.98 8.25 17.98 0.21 4.15 33.93 109.70 9.14

19 17.20 56.20 7.76 0.64 0.15 4.03 0.00 0.42 0.90 31.06 0.00 3.13 121.51 10.13

20 49.88 18.01 59.70 4.81 4.29 0.42 1.79 1.07 2.66 63.89 1.87 0.97 209.35 17.45

Jumlah 3673.69 846.82 876.56 722.24 1151.86 682.63 1705.73 684.56 560.13 2146.44 260.53 1561.15 14872.32

Rerata 183.68 42.34 43.83 36.11 57.59 34.13 85.29 34.23 28.01 107.32 13.03 78.06 61.97


( (12-1) 15253,1922 ) / 14872,32 ( (20-1) 1275,0123) / 14872,32= 12.307314 ditolak 2.95 = 1.628881 diterima 2.95

Kesimpulan :

= 20 - 12 = 8 = 20 - 12 = 8

= 12 - 1 = 12 - 1

= 11 = 11

untuk a = 5 % maka F tabel = 2,95 untuk a = 5 % maka F tabel = 2,95

F2 > F2 tabel, maka data debit tidak homogen dari bulan ke bulan

Perhitungan F1 dan F2 ( Xij - Xi - Xj + X )2

Tabel 3.6. Perhitungan F1 dan F2

(m3/dt) (m3/dt) (m3/dt) (m3/dt) (m3/dt) (m3/dt) (m3/dt) (m3/dt) (m3/dt) (m3/dt) (m3/dt) (m3/dt)

F1 = F2 =

Untuk F1 : Untuk F2 :

V1 = N-k V1 = N-k

V2 = k-1 V2 = k-1

F1 tabel dicari dengan v1 = 8 dan v2 = 11 F1 tabel dicari dengan v1 = 8 dan v2 = 11

F1 > F1 tabel, maka data debit tidak homogen dari bulan ke bulan

Uji Homogenitas Dengan Uji T

Tahun ke Jan Feb Mar Apr Mei Jun Jul Agst Sep Okt Nop Des

1 9.1400 34.4800 17.3800 43.1900 20.5300 27.8100 42.7800 17.3000 4.3100 60.6600 34.9600 73.7100

2 3.2300 23.0600 33.0000 4.6100 42.2400 39.9300 53.2600 20.2800 4.1700 2.0300 9.6800 18.8900

3 34.6500 4.1300 22.6800 24.1900 25.6900 16.6700 15.7400 38.9900 15.3500 5.9000 29.1300 39.9300

4 47.4900 25.5900 6.2100 22.6300 35.6800 12.6900 13.3400 36.9200 23.8900 7.8000 27.6200 43.1000

5 63.4600 2.2100 7.3400 20.7800 5.4000 27.4700 10.4800 29.0500 16.1500 7.9200 25.5300 56.5600

Jumlah 157.9700 89.4700 86.6100 115.4000 129.5400 124.5700 135.6000 142.5400 63.8700 84.3100 126.9200 232.1900

31.5940 17.8940 17.3220 23.0800 25.9080 24.9140 27.1200 28.5080 12.7740 16.8620 25.3840 46.4380

25.4272 14.1107 11.1538 13.7138 14.2458 10.6980 19.5245 9.6727 8.4745 24.5993 9.4521 20.3630

Tahun ke Jan Feb Mar Apr Mei Jun Jul Agst Sep Okt Nop Des

6 24.3587 23.4570 19.1744 24.1836 26.7523 27.2689 29.8251 27.2838 11.5514 15.3010 23.0469 40.7745

7 30.4548 19.2978 15.3440 21.5098 29.2895 28.1886 30.0846 27.9706 13.7924 19.6224 24.2759 45.2696

8 33.9834 15.9551 18.2811 20.9096 29.3548 26.6933 35.1127 25.3004 9.8013 24.5408 31.2444 56.2764

9 30.5391 17.6353 17.2589 28.1687 27.4931 25.4731 34.0539 25.5767 10.8717 24.4629 22.1739 41.3433

10 15.9102 21.9887 20.8667 24.2416 17.6646 24.3336 25.9288 25.4119 10.9665 18.1958 24.1834 41.3874

11 20.7649 27.2468 19.2372 19.6944 19.9918 23.9486 23.6611 29.7146 13.6481 14.3523 21.8385 35.9831

12 16.8503 23.6684 18.4640 26.3821 28.7460 20.1112 20.2837 30.8546 13.4210 26.8769 27.7915 50.8559

13 27.4905 19.0556 20.3533 16.0694 33.5826 26.6185 30.4424 25.5591 7.5560 30.7289 29.8249 50.6463

14 34.1922 21.9468 11.6949 30.4136 22.4681 28.4255 27.7929 28.6025 13.2091 18.7821 24.1025 40.1754

15 30.2802 14.5584 11.0854 31.8162 19.2494 26.9342 30.1065 27.0704 12.7494 6.5023 20.8326 36.2567

16 44.0879 18.3509 13.9143 20.9293 20.7048 27.6681 36.8289 26.3395 11.8669 15.1885 22.9954 37.1870

17 30.6777 18.8095 17.4003 26.5218 23.9322 23.6621 26.3082 28.1995 12.5158 13.1570 27.5482 51.0425

18 35.9092 22.4267 18.6269 24.6544 28.1215 24.1546 26.1278 26.4471 9.2950 20.3878 28.8980 52.5095

19 34.8810 11.9838 14.2312 23.4449 25.5559 28.0045 28.7896 28.8202 13.3354 25.2670 25.6904 43.7662

20 37.2177 14.6591 8.7131 21.4744 27.4416 24.7725 26.9335 28.6269 10.1789 27.1093 23.7645 45.9429

Jumlah 447.5978 291.0397 244.6455 360.4137 380.3482 386.2573 432.2796 411.7777 174.7589 300.4750 378.2110 669.4168

29.8399 19.4026 16.3097 24.0276 25.3565 25.7505 28.8186 27.4518 11.6506 20.0317 25.2141 44.6278

7.7379 4.1064 3.6564 4.1871 4.5230 2.2710 4.3428 1.6990 1.8510 6.5048 3.1424 6.3975

Tabel Uji T

Bulan Jan Feb Mar Apr Mei Jun Jul Agst Sep Okt Nop Des

s 13.7929 7.5738 6.1680 7.4451 7.8109 5.4262 9.9690 4.7997 4.3156 12.9376 5.2473 11.1345

t hitung 0.2544 0.3984 0.3282 0.2546 0.1412 0.3083 0.3408 0.4401 0.5206 0.4900 0.0648 0.3252

Uji T diterima diterima diterima diterima diterima diterima diterima diterima diterima diterima diterima diterima


a = 5 %, maka t tabel = 1.730

Rerata (X1)

Simp. Baku (S1)

Rerata (X2)

Simp. Baku (S2)

V = N1+N2 - 2 = 5 + 15 - 2 = 18

Jika t hitung < t tabel, maka data debit tahunan berasal dari populasi yang sama.

Jika t hitung > t tabel, maka data debit tahunan bukan berasal dari populasi yang sama.

Tabel Faktor Frekuensi (G) untuk Distribusi Log Pearson Type III, Koefisien Asimetri (Cs) Negatip

Cs

Kala Ulang (tahun)1.0101 1.0526 1.1111 1.25 2 5 10 25 50 100 200 1000

Peluang (%)99 95 90 80 50 20 10 4 2 1 0.5 0.1

0 -2.326 -1.645 -1.282 -0.842 0.000 0.842 1.282 1.751 2.054 2.326 2.576 3.090-0.1 -2.400 -1.673 -1.292 -0.836 0.017 0.846 1.270 1.716 2.000 2.252 2.482 2.950-0.2 -2.472 -1.700 -1.301 -0.830 0.033 0.850 1.258 1.680 1.945 2.178 2.308 2.810-0.3 -2.544 -1.762 -1.309 -0.824 0.050 0.853 1.245 1.643 1.890 2.104 2.294 2.670-0.4 -2.615 -1.750 -1.317 -0.816 0.066 0.855 1.231 1.606 1.834 2.029 2.201 2.530-0.5 -2.686 -1.774 -1.323 -0.808 0.083 0.856 1.216 1.567 1.777 1.955 2.108 2.400-0.6 -2.755 -1.797 -1.328 -0.800 0.099 0.857 1.200 1.528 1.720 1.880 2.016 2.270-0.7 -2.824 -1.819 -1.333 -0.790 0.116 0.857 1.183 1.488 1.663 1.800 1.936 2.140-0.8 -2.891 -1.839 -1.336 -0.780 0.132 0.856 1.166 1.484 1.608 1.733 1.837 2.020-0.9 -2.957 -1.858 -1.339 -0.769 0.148 0.854 1.147 1.407 1.549 1.660 1.749 1.900-1.0 -3.022 -1.877 -1.340 -0.758 0.164 0.852 1.108 1.366 1.492 1.508 1.664 1.790-1.1 -3.087 -1.894 -1.341 -0.745 0.180 0.848 1.107 1.324 1.435 1.518 1.581

Sumber : CD Soemarto, Hidrologi Teknik

Tabel Faktor Frekuensi (G) untuk Distribusi Log Pearson Type III, Koefisien Asimetri (Cs) Positif

Cs

Kala Ulang (tahun)1.0101 1.0526 1.1111 1.25 2 5 10 25 50 100 200 1000

Peluang (%)99 95 90 80 50 20 10 4 2 1 0.5 0.1

0.0 -2.326 -1.645 -1.282 -0.842 0.000 0.842 1.282 1.751 2.064 2.064 2.576 3.0900.1 -2.252 -1.616 -1.270 -0.846 -0.017 0.836 1.292 1.785 2.107 2.400 2.670 3.2300.2 -2.175 -1.586 -1.258 -0.850 -0.033 0.830 1.301 1.818 2.159 2.472 2.763 3.3800.3 -2.104 -1.555 -1.245 -0.853 -0.050 0.824 1.309 1.849 2.211 2.544 2.856 3.5200.4 -2.029 -1.524 -1.231 -0.855 -0.066 0.816 1.317 1.880 2.261 2.615 2.949 3.6700.5 -1.965 -1.491 -1.216 -0.856 -0.083 0.808 1.323 1.910 2.311 2.686 3.041 3.8100.6 -1.880 -1.458 -1.200 -0.857 -0.099 0.800 1.328 1.939 2.359 2.755 3.132 3.9600.7 -1.806 -1.423 -1.183 -0.857 -0.116 0.790 1.333 1.967 2.407 2.824 3.223 4.1000.8 -1.733 -1.388 -1.166 -0.856 -0.132 0.780 1.336 1.993 2.453 2.891 3.312 4.2400.9 -1.660 -1.353 -1.147 -0.854 -0.148 0.769 1.339 2.018 2.498 2.967 3.401 4.3901.0 -1.588 -1.317 -1.128 -0.852 -0.164 0.758 1.340 2.043 2.542 3.022 3.489 4.530

1.1 -1.518 -1.280 -1.107 -0.018 -0.180 0.745 1.341 2.066 2.585 3.087 3.575 4.670Sumber : CD Soemarto, Hidrologi Teknik

Derajat Bebas 0.200 0.100 0.050 0.010 0.001

(g)

1 1.642 2.706 3.841 6.635 10.8272 3.219 4.605 5.991 9.210 13.8153 4.642 6.251 7.815 11.345 16.2684 5.989 7.779 9.488 13.277 18.4655 7.289 9.236 11.070 15.086 20.5176 8.558 10.645 12.592 16.812 22.4577 9.803 12.017 14.067 18.475 24.3228 11.030 13.362 15.507 20.090 26.1259 12.242 14.987 16.919 21.666 27.87710 13.442 15.987 18.307 23.209 29.58811 14.631 17.275 19.675 24.725 31.26412 15.812 18.549 21.026 26.217 32.90913 16.985 19.812 22.362 27.688 34.52814 18.151 21.064 23.685 29.141 36.12315 19.311 22.307 24.996 30.578 37.69716 20.465 23.542 26.296 32.000 39.25217 21.615 24.769 27.587 33.409 40.79018 22.760 25.989 28.869 34.805 42.31219 23.900 27.204 30.144 36.191 43.820

20 25.038 28.412 31.410 37.566 45.315

Tabel Harga D kritis untuk Uji Smirnov-Kolmogorof

a0.200 0.100 0.050 0.010

n

510 0.450 0.510 0.560 0.67015 0.320 0.370 0.410 0.49020 0.270 0.300 0.340 0.40025 0.230 0.260 0.290 0.36030 0.210 0.240 0.270 0.32035 0.190 0.220 0.240 0.29040 0.180 0.200 0.230 0.27045 0.170 0.190 0.210 0.25050 0.160 0.180 0.200 0.240

0.150 0.170 0.190 0.230n > 50 1.07 1.22 1.36 1.63

Tabel Harga X2 kritis untuk Uji Chi - Square

Probability of deviation greather then x2

x2

n0,5 n0,5 n0,5 n0,5

Kapasitas Waduk Metode Alexander

Draft CP

Draft

P (%)(D) Tr = 1/P Tr = 1/P 2% 5% 10%

50 20 10 50 20 10 CP(tahun) CP(tahun)30% 0.40 0.17 0.04 2.00 2.00 2.00 30% 0.9335 29.4379 24.3671 0.0156 0.3967 12.5111 10.3560 0.0156 0.093340% 0.64 0.42 0.26 3.00 2.10 2.00 40% 1.4936 47.1007 38.9874 0.0235 0.9801 30.9098 25.5855 0.0164 0.606850% 0.96 0.68 0.43 4.30 2.80 2.00 50% 2.2403 70.6510 58.4811 0.0336 1.5869 50.0445 41.4241 0.0219 1.003560% 1.50 1.10 0.68 6.80 4.65 2.85 60% 3.5005 110.3922 91.3768 0.0532 2.5670 80.9543 67.0096 0.0364 1.586970% 2.40 1.75 1.10 13.50 8.10 4.95 70% 5.6008 176.6276 146.2028 0.1056 4.0839 128.7909 106.6062 0.0634 2.567080% 4.10 2.85 1.85 28.00 18.10 10.80 80% 9.5681 301.7388 249.7631 0.2190 6.6510 209.7452 173.6158 0.1416 4.317390% 8.70 6.40 4.00 40.00 40.00 40.00 90% 20.3030 640.2749 529.9852 0.3129 14.9355 471.0068 389.8742 0.3129 9.3347

Keterangan :

C* = C (1 + rk)

dimana : Cv = Nilai koefisien variasi data tahunan

C = d = Besar nilai yang tergantung pada probabilitas kegagalan yang dipilihα = Perbandingan jml jam operasi tanpa adanya tampungan dengan adanya tampungan Draft = Volume air yang dilepaskan secara terkendali selama periode tertentu

Qrt = Kapasitas waduk sebagai rasio pengaliranrk = Korelasi seri

CP = Periode kritis (tahun)

Nilai t1 dan CP berdasarkan nilai D dan Tr

t1

C(m3/dt) C(106 m3) C*(106 m3) C(m3/dt) C(106 m3) C*(106 m3) C(m3/dt)

C = (t1/a).Qrt

Tampungan aktif (tampungan efektif) (m3)

Debit rata-rata (m3/dt) t1 =


P (%)10%

CP(tahun)2.9438 2.4367 0.0156

19.1347 15.8386 0.015631.6458 26.1947 0.015650.0445 41.4241 0.022380.9543 67.0096 0.0387

136.1504 112.6980 0.0845294.3793 243.6713 0.3129

C(106 m3) C*(106 m3)

0 100 200 300 400 500 600 70020%

30%

40%

50%

60%

70%

80%

90%

100%


Untuk P = 10% Untuk P = 5% Untuk P = 2%

Kapasitas Waduk (Juta m3)

D (

%)

Kapasitas Waduk Metode Dincer

Standar deviasi Koef. Variasi (Cv) koef. asimetri Korelasi seri (rk)

298.3106 28.3773 0.0951 1.3563 -0.1723

Nilai Zp dan d berdasarkan probabilitas kegagalan

P = 2% P = 5% P = 10%

Zp 2.05 1.64 1.28

d 1.1 0.6 0.3

Draft

P (%)

2% 5% 10%

CP(tahun) CP(tahun) CP(tahun)

30% 4.0516 127.7702 105.7613 0.0194 2.5930 81.7730 67.6873 0.0124 1.5796 49.8129 41.2325 0.0076

40% 4.7268 149.0653 123.3882 0.0264 3.0252 95.4018 78.9685 0.0169 1.8428 58.1151 48.1045 0.0103

50% 5.6722 178.8783 148.0659 0.0380 3.6302 114.4821 94.7622 0.0243 2.2114 69.7381 57.7254 0.0148

60% 7.0902 223.5979 185.0823 0.0594 4.5378 143.1027 118.4527 0.0380 2.7642 87.1726 72.1568 0.0232

70% 9.3911 296.1562 245.1422 0.1042 6.0103 189.5400 156.8910 0.0667 3.6612 115.4604 95.5719 0.0406

80% 14.1805 447.1958 370.1647 0.2377 9.0755 286.2053 236.9054 0.1521 5.5284 174.3452 144.3136 0.0927

90% 28.3610 894.3917 740.3294 0.9507 18.1510 572.4107 473.8108 0.6085 11.0569 348.6904 288.6272 0.3707

Keterangan :

C* = C (1 + rk)

dimana : Cv = Nilai koefisien variasi data tahunan

C d = Besar nilai yang tergantung pada probabilitas kegagalan yang dipilih

α Perbandingan jml jam operasi tanpa adanya tampungan dengan adanya tampungan Draft = Volume air yang dilepaskan secara terkendali selama periode tertentu

Qrt = Kapasitas waduk sebagai rasio pengaliran

rk = Korelasi seri


Aliran rata-rata (m3/dt)

tabel hubungan nilai Zp dan d, Mc Mahon 1978

C(m3/dt) C(106 m3) C*(106 m3) C(m3/dt) C(106 m3) C*(106 m3) C(m3/dt) C(106 m3) C*(106 m3)

C = [(Zp2 . Cv2) . Qrt] / [4 (1-D)]

CP = [(Zp2 . Cv2)] / [4 (1-D)2]


Debit rata-rata (m3/dt) t1 =

0 100 200 300 400 500 600 700 800 900 100020%

30%

40%

50%

60%

70%

80%

90%

100%

Kapasitas Waduk Metode Dincer

Untuk P = 2% Untuk P = 5 % Untuk P = 10 %

Kapasitas Waduk (juta m3)

Dra

ft (

%)

Kapasitas Waduk Metode Gamma Gould

Koef. Variasi (Cv) Koef. asimetri Korelasi seri (rk)

298.3106 28.3773 0.0951 1.3563 -0.1723

Nilai Zp dan d berdasarkan probabilitas kegagalan

P = 2% P = 5% P = 10%

Zp 2.05 1.64 1.28

d 1.1 0.6 0.3

Draft

P (%)

2% 5% 10%

CP(tahun) CP(tahun)

30% 1.0822 34.1278 28.2492 0.0194 0.9733 30.6953 25.4079 0.7697 24.2741 20.0928 0.0076

40% 1.7574 55.4228 45.8761 0.0264 1.4055 44.3241 36.6891 1.0330 32.5762 26.9648 0.0103

50% 2.7028 85.2359 70.5537 0.0380 2.0105 63.4044 52.4828 1.4015 44.1992 36.5857 0.0148

60% 4.1209 129.9555 107.5702 0.0594 2.9181 92.0250 76.1733 1.9544 61.6337 51.0171 0.0232

70% 6.4217 202.5137 167.6300 0.1042 4.3906 138.4623 114.6116 2.8514 89.9215 74.4322 0.0406

80% 11.2111 353.5534 292.6525 0.2377 7.4558 235.1276 194.6260 4.7186 148.8063 123.1739 0.0927

90% 25.3916 800.7492 662.8172 0.9507 16.5314 521.3330 431.5314 10.2471 323.1515 267.4875 0.3707

Keterangan :

C =

C* = C (1 + rk)

CP =

dimana :

C = Cv = Nilai koefisien variasi data tahunan

α = Perbandingan jml jam operasi tanpa adanya tampungan dengan adanya tampungan d = Besar nilai yang tergantung pada probabilitas kegagalan yang dipilih

Qrt = Draft = Volume air yang dilepaskan secara terkendali selama periode tertentu

rk = Korelasi seri Kapasitas waduk sebagai rasio pengaliran


Cv = Koefisien asimetri

Aliran rata-rata (m3/dt)

Standar deviasi (m3/dt)

tabel hubungan nilai Zp dan d, Mc Mahon 1978

C(m3/dt) C(106 m3) C*(106 m3) C(m3/dt) C(106 m3) C*(106 m3) C(m3/dt) C(106 m3) C*(106 m3)

{[(Zp2 . Cv2) / 4 (1-D)] - (d . Cv2)}. Qrt

[(Zp2 . Cv2)] / [4 (1-d)2]


Debit rata-rata (m3/dt)

t1 =

0 100 200 300 400 500 600 700 800 90020%

30%

40%

50%

60%

70%

80%

90%

100%

Kapasitas Waduk Metode Gamma Gould

Untuk P = 2 % Untuk P = 5 % Untuk P = 10 %

Kapasitas Waduk (Juta m3)

Dra

ft (

%)

Perhitungan Kapasitas Tampungan Waduk

Metode Simulasi

Kapasitas Tampungan Waduk = 100566598P = 2% Bulan Kosong = 5 = 5

C = 38.2883

Bulan Kosong = 5 = 5

Tabel 3.16. Perhitungan Kapasitas Tampungan Waduk Metode Simulasi Lanjutan Tabel 3.16. Perhitungan Kapasitas Tampungan Waduk Metode Simulasi

TahunBulan Inflow Outflow Volume waduk

Pelimpahan TahunBulan Inflow Outflow Volume

Pelimpahanke penuh kosong ke penuh kosong

2000

1 9.14 18.6444 28.7839

2010

121 20.7649 18.6444 40.4088 penuh Melimpah 2.1205

2 34.48 18.6444 44.6195 penuh Melimpah 6.3312 122 27.2468 18.6444 46.8907 penuh Melimpah 8.6023

3 17.38 18.6444 37.0239 123 19.2372 18.6444 38.8811 penuh Melimpah 0.5927





8 17.30 18.6444 36.9439 128 29.7146 18.6444 49.3585 penuh Melimpah 11.0702

9 4.31 18.6444 22.6095 129 13.6481 18.6444 33.2920

10 60.66 18.6444 64.6251 penuh Melimpah 26.3368 130 14.3523 18.6444 28.9999

11 34.96 18.6444 54.6039 penuh Melimpah 16.3156 131 21.8385 18.6444 32.1940


2001

13 3.23 18.6444 22.8739

2011

133 16.8503 18.6444 36.4942

14 23.06 18.6444 27.2895 134 23.6684 18.6444 41.5182 penuh Melimpah 3.2299

15 33.00 18.6444 41.6451 penuh Melimpah 3.3568 135 18.464 18.6444 38.1079

16 4.61 18.6444 24.2539 136 26.3821 18.6444 45.8456 penuh Melimpah 7.5572





21 4.17 18.6444 23.8139 141 13.421 18.6444 33.0649

22 2.03 18.6444 7.1995 142 26.8769 18.6444 41.2974 penuh Melimpah 3.0091

23 9.68 18.6444 -1.7649 kosong 1 143 27.7915 18.6444 47.4354 penuh Melimpah 9.1471


2002

25 34.65 18.6444 14.4863

2012

145 27.4905 18.6444 47.1344 penuh Melimpah 8.8461


27 22.68 18.6444 4.0075 147 20.3533 18.6444 39.9972 penuh Melimpah 1.7089

28 24.19 18.6444 9.5530 148 16.0694 18.6444 35.7133

29 25.69 18.6444 16.5986 149 33.5826 18.6444 50.6515 penuh Melimpah 12.3632

30 16.67 18.6444 14.6242 150 26.6185 18.6444 46.2625 penuh Melimpah 7.9741

31 15.74 18.6444 11.7198 151 30.4424 18.6444 50.0863 penuh Melimpah 11.7980

32 38.99 18.6444 32.0654 152 25.5591 18.6444 45.2030 penuh Melimpah 6.9146

33 15.35 18.6444 28.7710 153 7.55601 18.6444 27.1999

34 5.90 18.6444 16.0266 154 30.7289 18.6444 39.2844 penuh Melimpah 0.9961

35 29.13 18.6444 26.5122 155 29.8249 18.6444 49.4688 penuh Melimpah 11.1805


2003

37 47.49 18.6444 67.1339 penuh Melimpah 28.8456

2013

157 34.1922 18.6444 53.8361 penuh Melimpah 15.5477


39 6.21 18.6444 25.8539 159 11.6949 18.6444 31.3388

40 22.63 18.6444 29.8395 160 30.4136 18.6444 43.1080 penuh Melimpah 4.8197


42 12.69 18.6444 32.3339 162 28.4255 18.6444 48.0694 penuh Melimpah 9.7811

43 13.34 18.6444 27.0295 163 27.7929 18.6444 47.4368 penuh Melimpah 9.1485


45 23.89 18.6444 43.5339 penuh Melimpah 5.2456 165 13.2091 18.6444 32.8530

46 7.80 18.6444 27.4439 166 18.7821 18.6444 32.9907

47 27.62 18.6444 36.4195 167 24.1025 18.6444 38.4488 penuh Melimpah 0.1604


2004

49 63.46 18.6444 83.1039 penuh Melimpah 44.8156

2014

169 30.2802 18.6444 49.9241 penuh Melimpah 11.6358

50 2.21 18.6444 21.8539 170 14.5584 18.6444 34.2023

51 7.34 18.6444 10.5495 171 11.0854 18.6444 26.6433

52 20.78 18.6444 12.6851 172 31.8162 18.6444 39.8151 penuh Melimpah 1.5268


54 27.47 18.6444 8.2663 174 26.9342 18.6444 46.5781 penuh Melimpah 8.2897

55 10.48 18.6444 0.1019 175 30.1065 18.6444 49.7504 penuh Melimpah 11.4621

56 29.05 18.6444 10.5075 176 27.0704 18.6444 46.7143 penuh Melimpah 8.4260

57 16.15 18.6444 8.0130 177 12.7494 18.6444 32.3934

58 7.92 18.6444 -2.7114 kosong 1 178 6.5023 18.6444 20.2512

59 25.53 18.6444 4.1742 179 20.8326 18.6444 22.4394


2005

61 24.3587 18.6444 44.0026 penuh Melimpah 5.7143

2015

181 44.0879 18.6444 63.7319 penuh Melimpah 25.4435

62 23.457 18.6444 43.1009 penuh Melimpah 4.8125 182 18.3509 18.6444 37.9948

63 19.1744 18.6444 38.8183 penuh Melimpah 0.5300 183 13.9143 18.6444 33.2647

64 24.1836 18.6444 43.8276 penuh Melimpah 5.5392 184 20.9293 18.6444 35.5496

65 26.7523 18.6444 46.3962 penuh Melimpah 8.1079 185 20.7048 18.6444 37.6099




69 11.5514 18.6444 31.1953 189 11.8669 18.6444 31.5108

70 15.301 18.6444 27.8519 190 15.1885 18.6444 28.0549

71 23.0469 18.6444 32.2544 191 22.9954 18.6444 32.4059


2006

73 30.4548 18.6444 50.0987 penuh Melimpah 11.8104

2016

193 30.6777 18.6444 50.3216 penuh Melimpah 12.0333


75 15.344 18.6444 34.9879 195 17.4003 18.6444 37.0442

76 21.5098 18.6444 37.8533 196 26.5218 18.6444 44.9216 penuh Melimpah 6.6332





81 13.7924 18.6444 33.4363 201 12.5158 18.6444 32.1597

82 19.6224 18.6444 34.4144 202 13.157 18.6444 26.6723

83 24.2759 18.6444 40.0459 penuh Melimpah 1.7575 203 27.5482 18.6444 35.5761


m3

m3/dt

(m3/dt) (m3/dt) (m3/dt) (m3/dt)

Perhitungan Kapasitas Waduk Metode Sequent Peak

TahunBulan Inflow Outflow Kekurangan Kelebihan Volume

ke

2000

1 9.14 24.4806 18.6444 49.9372 -25.4566 -25.4566

2 34.48 92.3512 18.6444 45.1046 47.2467 Penuh

3 17.38 46.5506 18.6444 49.9372 -3.3866 -3.3866

4 43.19 111.9485 18.6444 48.3263 63.6222 Penuh

5 20.53 54.9876 18.6444 49.9372 5.0504 Penuh

6 27.81 72.0835 18.6444 48.3263 23.7572 Penuh

7 42.78 114.5820 18.6444 49.9372 64.6448 Penuh

8 17.30 46.3363 18.6444 49.9372 -3.6009 -3.6009

9 4.31 11.1715 18.6444 48.3263 -37.1548 -40.7557

10 60.66 162.4717 18.6444 49.9372 112.5346 Penuh

11 34.96 90.6163 18.6444 48.3263 42.2900 Penuh

12 73.71 191.0563 18.6444 48.3263 142.7300 Penuh

2001

13 3.23 8.6512 18.6444 49.9372 -41.2860 -41.2860

14 23.06 55.7868 18.6444 45.1046 10.6822 Penuh

15 33.00 88.3872 18.6444 49.9372 38.4500 Penuh

16 4.61 11.9491 18.6444 48.3263 -36.3772 -36.3772

17 42.24 113.1356 18.6444 49.9372 63.1984 Penuh

18 39.93 103.4986 18.6444 48.3263 55.1722 Penuh

19 53.26 142.6516 18.6444 49.9372 92.7144 Penuh

20 20.28 54.3180 18.6444 49.9372 4.3808 Penuh

21 4.17 10.8086 18.6444 48.3263 -37.5177 -37.5177

22 2.03 5.4372 18.6444 49.9372 -44.5000 -82.017723 9.68 25.0906 18.6444 48.3263 -23.2358 -105.253524 18.89 48.9629 18.6444 48.3263 0.6366 #VALUE!

2002

25 34.65 92.8066 18.6444 49.9372 42.8694 Penuh26 4.13 9.9913 18.6444 45.1046 -35.1133 -35.113327 22.68 60.7461 18.6444 49.9372 10.8089 Penuh28 24.19 62.7005 18.6444 48.3263 14.3742 Penuh29 25.69 68.8081 18.6444 49.9372 18.8709 Penuh30 16.67 43.2086 18.6444 48.3263 -5.1177 -5.117731 15.74 42.1580 18.6444 49.9372 -7.7792 -12.8968

32 38.99 104.4308 18.6444 49.9372 54.4936 Penuh

33 15.35 39.7872 18.6444 48.3263 -8.5391 -8.5391

34 5.90 15.8026 18.6444 49.9372 -34.1346 -34.1346

35 29.13 75.5050 18.6444 48.3263 27.1786 Penuh

36 39.93 103.4986 18.6444 48.3263 55.1722 Penuh

2003

37 47.49 127.1972 18.6444 49.9372 77.2600 Penuh

38 25.59 61.9073 18.6444 45.1046 16.8028 Penuh

39 6.21 16.6329 18.6444 49.9372 -33.3043 -33.3043

40 22.63 58.6570 18.6444 48.3263 10.3306 Penuh

41 35.68 95.5653 18.6444 49.9372 45.6281 Penuh

42 12.69 32.8925 18.6444 48.3263 -15.4338 -15.4338

43 13.34 35.7299 18.6444 49.9372 -14.2073 -29.6412

44 36.92 98.8865 18.6444 49.9372 48.9493 Penuh

45 23.89 61.9229 18.6444 48.3263 13.5966 Penuh

46 7.80 20.8915 18.6444 49.9372 -29.0457 -29.0457

47 27.62 71.5910 18.6444 48.3263 23.2647 Penuh

48 43.10 111.7152 18.6444 48.3263 63.3889 Penuh

2004

49 63.46 169.9713 18.6444 49.9372 120.0341 Penuh

50 2.21 5.3464 18.6444 45.1046 -39.7581 -39.7581

51 7.34 19.6595 18.6444 49.9372 -30.2777 -70.0359

52 20.78 53.8618 18.6444 48.3263 5.5354 Penuh

53 5.40 14.4634 18.6444 49.9372 -35.4738 -35.4738

54 27.47 71.2022 18.6444 48.3263 22.8759 Penuh

55 10.48 28.0696 18.6444 49.9372 -21.8676 #VALUE!

56 29.05 77.8075 18.6444 49.9372 27.8703 Penuh

57 16.15 41.8608 18.6444 48.3263 -6.4655 -6.4655

58 7.92 21.2129 18.6444 49.9372 -28.7243 -35.1898

59 25.53 66.1738 18.6444 48.3263 17.8474 Penuh

60 56.56 146.6035 18.6444 48.3263 98.2772 Penuh

2005

61 24.36 65.2424 18.6444 49.9372 15.3052 Penuh

62 23.46 56.7471 18.6444 45.1046 11.6425 -23.6030

63 19.17 51.3566 18.6444 49.9372 1.4194 Penuh

64 24.18 62.6840 18.6444 48.3263 14.3577 -23.6030

65 26.75 71.6534 18.6444 49.9372 21.7162 Penuh

66 27.27 70.6810 18.6444 48.3263 22.3547 Penuh

67 29.83 79.8837 18.6444 49.9372 29.9465 Penuh

68 27.28 73.0768 18.6444 49.9372 23.1396 Penuh

69 11.55 29.9413 18.6444 48.3263 -18.3850 -18.3850

70 15.30 40.9821 18.6444 49.9372 -8.9551 -27.3401

71 23.05 59.7375 18.6444 48.3263 11.4112 Penuh

72 40.77 105.6875 18.6444 48.3263 57.3612 Penuh

(m3/dt) (106 m3) (m3/dt) (106 m3) (106 m3) (106 m3) (106 m3)

Perhitungan Kapasitas Waduk Metode Sequent Peak

Tabel 3.19. Perhitungan Kapasitas Waduk Metode Sequent Peak Lanjutan Tabel 3.19. Perhitungan Kapasitas Waduk Metode Sequent PeakBUAT GRAFIK

TahunBulan Inflow Outflow

TahunBulan Inflow Outflow Jumlah hari tiap bulan

ke ke Jan 31 bulan inflow outflow kapasitas

Feb 28

2000

1 9.1400 24.480576 18.6444 49.937188 -25.45661 -27.91343

2010

1 20.7649 55.61665 18.6444 49.93718799 0.00000 Penuh Mar 31 1 24.480576 49.937188 25.456612

2 34.4800 83.414016 18.6444 45.1045569 0.00000 Penuh 2 27.2468 65.91536 18.6444 45.1045569 0.00000 Penuh Apr 30 2 83.414016 45.104557 0

3 17.3800 46.550592 18.6444 49.937188 -3.38660 -5.84342 3 19.2372 51.52480 18.6444 49.93718799 0.00000 -32.75227 Mei 31 3 46.550592 49.937188 3.386596

4 43.1900 111.94848 18.6444 48.326311 0.00000 Penuh 4 19.6944 51.04799 18.6444 48.32631096 0.00000 -19.68250 Juni 30 4 111.94848 48.326311 0

5 20.5300 54.987552 18.6444 49.937188 0.00000 Penuh 5 19.9918 53.54614 18.6444 49.93718799 0.00000 -6.01889 Juli 31 5 54.987552 49.937188 0

6 27.8100 72.08352 18.6444 48.326311 0.00000 -43.42036 6 23.9486 62.07468 18.6444 48.32631096 0.00000 Penuh Agst 31 6 72.08352 48.326311 0

7 42.7800 114.58195 18.6444 49.937188 0.00000 Penuh 7 23.6611 63.37385 18.6444 49.93718799 0.00000 -15.28140 Sept 30 7 114.58195 49.937188 0

8 17.3000 46.33632 18.6444 49.937188 -3.60087 -6.05769 8 29.7146 79.58750 18.6444 49.93718799 0.00000 -9.75232 Okt 31 8 46.33632 49.937188 3.600868

9 4.3100 11.17152 18.6444 48.326311 -40.75566 -45.59005 9 13.6481 35.37575 18.6444 48.32631096 -12.95056 -43.72625 Nov 30 9 11.17152 48.326311 40.755659

10 60.6600 162.47174 18.6444 49.937188 0.00000 Penuh 10 14.3523 38.44121 18.6444 49.93718799 -24.44654 -14.94989 Des 30 10 162.47174 49.937188 0

11 34.9600 90.61632 18.6444 48.326311 0.00000 Penuh 11 21.8385 56.60542 18.6444 48.32631096 -16.16742 -1.40560 11 90.61632 48.326311 0

12 73.7100 191.05632 18.6444 48.326311 0.00000 Penuh 12 35.9831 93.26811 18.6444 48.32631096 0.00000 Penuh 12 191.05632 48.326311 0

2001

1 3.2300 8.651232 18.6444 49.937188 -41.28596 -43.74278

2011

1 16.8503 45.13190 18.6444 49.93718799 -4.80529 Penuh 13 8.651232 49.937188 41.285956

2 23.0600 55.786752 18.6444 45.1045569 -30.60376 -35.27964 2 23.6684 57.25863 18.6444 45.1045569 0.00000 -31.60722 14 55.786752 45.104557 30.603761

3 33.0000 88.3872 18.6444 49.937188 0.00000 Penuh 3 18.4640 49.45393 18.6444 49.93718799 -0.48326 -8.88214 15 88.3872 49.937188 0

4 4.6100 11.94912 18.6444 48.326311 -36.37719 -38.75476 4 26.3821 68.38236 18.6444 48.32631096 0.00000 Penuh 16 11.94912 48.326311 36.377191

5 42.2400 113.13562 18.6444 49.937188 0.00000 Penuh 5 28.7460 76.99327 18.6444 49.93718799 0.00000 Penuh 17 113.13562 49.937188 0

6 39.9300 103.49856 18.6444 48.326311 0.00000 Penuh 6 20.1112 52.12815 18.6444 48.32631096 0.00000 Penuh 18 103.49856 48.326311 0

7 53.2600 142.65158 18.6444 49.937188 0.00000 Penuh 7 20.2837 54.32774 18.6444 49.93718799 0.00000 Penuh 19 142.65158 49.937188 0

8 20.2800 54.317952 18.6444 49.937188 0.00000 Penuh 8 30.8546 82.64103 18.6444 49.93718799 0.00000 Penuh 20 54.317952 49.937188 0

9 4.1700 10.80864 18.6444 48.326311 -37.51767 -39.89524 9 13.4210 34.78728 18.6444 48.32631096 -13.53903 -28.71213 21 10.80864 48.326311 37.517671

10 2.0300 5.437152 18.6444 49.937188 -82.01771 -86.85210 10 26.8769 71.98711 18.6444 49.93718799 0.00000 -32.64813 22 5.437152 49.937188 82.017707

11 9.6800 25.09056 18.6444 48.326311 -105.25346 -112.46541 11 27.7915 72.03557 18.6444 48.32631096 0.00000 -10.98879 23 25.09056 48.326311 105.25346

12 18.8900 48.96288 18.6444 48.326311 -104.61689 -116.02081 12 50.8559 131.81860 18.6444 48.32631096 0.00000 Penuh 24 48.96288 48.326311 104.61689

2002

1 34.6500 92.80656 18.6444 49.937188 -61.74752 -75.60826

2012

1 27.4905 73.63057 18.6444 49.93718799 0.00000 -24.82461 25 92.80656 49.937188 61.747517

2 4.1300 9.991296 18.6444 45.1045569 -96.86078 -112.94059 2 19.0556 46.09935 18.6444 45.1045569 0.00000 -19.40974 26 9.991296 45.104557 96.860778

3 22.6800 60.746112 18.6444 49.937188 -86.05185 -104.58848 3 20.3533 54.51433 18.6444 49.93718799 0.00000 -38.57562 27 60.746112 49.937188 86.051854

4 24.1900 62.70048 18.6444 48.326311 -71.67768 -148.00884 4 16.0694 41.65185 18.6444 48.32631096 -6.67446 -70.27503 28 62.70048 48.326311 71.677685

5 25.6900 68.808096 18.6444 49.937188 -52.80678 -131.59475 5 33.5826 89.94763 18.6444 49.93718799 0.00000 Penuh 29 68.808096 49.937188 52.806777

6 16.6700 43.20864 18.6444 48.326311 -57.92445 -139.08999 6 26.6185 68.99525 18.6444 48.32631096 0.00000 -25.48477 30 43.20864 48.326311 57.924448

7 15.7400 42.158016 18.6444 49.937188 -65.70362 -149.32599 7 30.4424 81.53692 18.6444 49.93718799 0.00000 Penuh 31 42.158016 49.937188 65.70362

8 38.9900 104.43082 18.6444 49.937188 -11.20999 -97.28918 8 25.5591 68.45738 18.6444 49.93718799 0.00000 Penuh 32 104.43082 49.937188 11.209992

9 15.3500 39.7872 18.6444 48.326311 -19.74910 -95.71242 9 7.5560 19.58517 18.6444 48.32631096 -28.74114 Penuh 33 39.7872 48.326311 19.749103

10 5.9000 15.80256 18.6444 49.937188 -53.88373 -132.30387 10 30.7289 82.30437 18.6444 49.93718799 0.00000 Penuh 34 15.80256 49.937188 53.883731

11 29.1300 75.50496 18.6444 48.326311 -26.70508 -107.50278 11 29.8249 77.30606 18.6444 48.32631096 0.00000 Penuh 35 75.50496 48.326311 26.705082

12 39.9300 103.49856 18.6444 48.326311 0.00000 -54.70810 12 50.6463 131.27534 18.6444 48.32631096 0.00000 Penuh 36 103.49856 48.326311 0

2003

1 47.4900 127.19722 18.6444 49.937188 0.00000 Penuh

2013

1 34.1922 91.58027 18.6444 49.93718799 0.00000 Penuh 37 127.19722 49.937188 0

2 25.5900 61.907328 18.6444 45.1045569 0.00000 Penuh 2 21.9468 53.09377 18.6444 45.1045569 0.00000 -19.30451 38 61.907328 45.104557 0

3 6.2100 16.632864 18.6444 49.937188 -33.30432 -35.76114 3 11.6949 31.32358 18.6444 49.93718799 -18.61361 -14.94375 39 16.632864 49.937188 33.304324

4 22.6300 58.65696 18.6444 48.326311 -22.97367 -27.80806 4 30.4136 78.83215 18.6444 48.32631096 0.00000 -14.12547 40 58.65696 48.326311 22.973675

5 35.6800 95.565312 18.6444 49.937188 0.00000 Penuh 5 22.4681 60.17846 18.6444 49.93718799 0.00000 Penuh 41 95.565312 49.937188 0

6 12.6900 32.89248 18.6444 48.326311 -15.43383 -17.81140 6 28.4255 73.67883 18.6444 48.32631096 0.00000 Penuh 42 32.89248 48.326311 15.433831

7 13.3400 35.729856 18.6444 49.937188 -29.64116 -34.47555 7 27.7929 74.44045 18.6444 49.93718799 0.00000 -31.90179 43 35.729856 49.937188 29.641163

8 36.9200 98.886528 18.6444 49.937188 0.00000 Penuh 8 28.6025 76.60889 18.6444 49.93718799 0.00000 -56.64716 44 98.886528 49.937188 0

9 23.8900 61.92288 18.6444 48.326311 0.00000 Penuh 9 13.2091 34.23799 18.6444 48.32631096 -14.08832 -66.01847 45 61.92288 48.326311 0

10 7.8000 20.89152 18.6444 49.937188 -29.04567 -31.50249 10 18.7821 50.30594 18.6444 49.93718799 -13.71957 -61.21061 46 20.89152 49.937188 29.045668

11 27.6200 71.59104 18.6444 48.326311 -5.78094 -10.61533 11 24.1025 62.47365 18.6444 48.32631096 0.00000 -45.72814 47 71.59104 48.326311 5.780939

12 43.1000 111.7152 18.6444 48.326311 0.00000 Penuh 12 40.1754 104.13476 18.6444 48.32631096 0.00000 Penuh 48 111.7152 48.326311 0

2004

1 63.4600 169.97126 18.6444 49.937188 0.00000 Penuh

2014

1 30.2802 81.10249 18.6444 49.93718799 0.00000 Penuh 49 169.97126 49.937188 0

2 2.2100 5.346432 18.6444 45.1045569 -39.75812 -41.97719 2 14.5584 35.21965 18.6444 45.1045569 -9.88491 Penuh 50 5.346432 45.104557 39.758125

3 7.3400 19.659456 18.6444 49.937188 -70.03586 -74.71174 3 11.0854 29.69124 18.6444 49.93718799 -30.13086 -12.39488 51 19.659456 49.937188 70.035857

4 20.7800 53.86176 18.6444 48.326311 -64.50041 -71.55386 4 31.8162 82.46749 18.6444 48.32631096 0.00000 Penuh 52 53.86176 48.326311 64.500408

5 5.4000 14.46336 18.6444 49.937188 -99.97424 -109.48451 5 19.2494 51.55749 18.6444 49.93718799 0.00000 Penuh 53 14.46336 49.937188 99.974236

6 27.4700 71.20224 18.6444 48.326311 -77.09831 -144.11799 6 26.9342 69.81332 18.6444 48.32631096 0.00000 Penuh 54 71.20224 48.326311 77.098307

7 10.4800 28.069632 18.6444 49.937188 -98.96586 -168.44236 7 30.1065 80.63715 18.6444 49.93718799 0.00000 Penuh 55 28.069632 49.937188 98.965863

8 29.0500 77.80752 18.6444 49.937188 -71.09553 -143.02885 8 27.0704 72.50526 18.6444 49.93718799 0.00000 Penuh 56 77.80752 49.937188 71.095531

9 16.1500 41.8608 18.6444 48.326311 -77.56104 -151.87193 9 12.7494 33.04654 18.6444 48.32631096 -15.27978 -49.45783 57 41.8608 48.326311 77.561042

10 7.9200 21.212928 18.6444 49.937188 -106.28530 -183.05301 10 6.5023 17.41575 18.6444 49.93718799 -47.80121 -61.66521 58 21.212928 49.937188 106.2853

11 25.5300 66.17376 18.6444 48.326311 -88.43785 -167.58313 11 20.8326 53.99805 18.6444 48.32631096 -42.12947 -47.31687 59 66.17376 48.326311 88.437853

12 56.5600 146.60352 18.6444 48.326311 0.00000 -71.68349 12 36.2567 93.97743 18.6444 48.32631096 0.00000 Penuh 60 146.60352 48.326311 0

2005

1 24.3587 65.242382 18.6444 49.937188 0.00000 -38.83461

2015

1 44.0879 118.08515 18.6444 49.93718799 0.00000 -7.52691 61 65.242382 49.937188 0

2 23.4570 56.747063 18.6444 45.1045569 0.00000 -62.46492 2 18.3509 44.39446 18.6444 45.1045569 -0.71010 Penuh 62 56.747063 45.104557 0

3 19.1744 51.356616 18.6444 49.937188 0.00000 -62.16942 3 13.9143 37.26795 18.6444 49.93718799 -13.37933 Penuh 63 51.356616 49.937188 0

4 24.1836 62.683974 18.6444 48.326311 0.00000 -86.28772 4 20.9293 54.24878 18.6444 48.32631096 -7.45687 Penuh 64 62.683974 48.326311 0

5 26.7523 71.653426 18.6444 49.937188 0.00000 -76.87244 5 20.7048 55.45569 18.6444 49.93718799 -1.93837 Penuh 65 71.653426 49.937188 0

6 27.2689 70.681013 18.6444 48.326311 0.00000 -119.96656 6 27.6681 71.71575 18.6444 48.32631096 0.00000 -10.84874 66 70.681013 48.326311 0

7 29.8251 79.883667 18.6444 49.937188 0.00000 -62.88467 7 36.8289 98.64251 18.6444 49.93718799 0.00000 Penuh 67 79.883667 49.937188 0

8 27.2838 73.076835 18.6444 49.937188 0.00000 -21.79857 8 26.3395 70.54760 18.6444 49.93718799 0.00000 -4.31031 68 73.076835 49.937188 0

9 11.5514 29.94129 18.6444 48.326311 -18.38502 -38.42752 9 11.8669 30.75902 18.6444 48.32631096 -17.56729 Penuh 69 29.94129 48.326311 18.385021

10 15.3010 40.982099 18.6444 49.937188 -27.34011 -0.24229 10 15.1885 40.68094 18.6444 49.93718799 -26.82354 Penuh 70 40.982099 49.937188 27.340109

11 23.0469 59.737476 18.6444 48.326311 -15.92894 Penuh 11 22.9954 59.60403 18.6444 48.32631096 -15.54582 -8.17036 71 59.737476 48.326311 15.928945

12 40.7745 105.68752 18.6444 48.326311 0.00000 Penuh 12 37.1870 96.38879 18.6444 48.32631096 0.00000 Penuh 72 105.68752 48.326311 0

2006

1 30.4548 81.570144 18.6444 49.937188 0.00000 Penuh

2016

1 30.6777 82.16720 18.6444 49.93718799 0.00000 Penuh 73 81.570144 49.937188 0

2 19.2978 46.685194 18.6444 45.1045569 0.00000 Penuh 2 18.8095 45.50392 18.6444 45.1045569 0.00000 -27.02174 74 46.685194 45.104557 0

3 15.3440 41.097333 18.6444 49.937188 -8.83985 -27.99577 3 17.4003 46.60494 18.6444 49.93718799 -3.33225 -43.15230 75 41.097333 49.937188 8.8398548

4 21.5098 55.753468 18.6444 48.326311 -1.41270 -67.86639 4 26.5218 68.74441 18.6444 48.32631096 0.00000 -52.37700 76 55.753468 48.326311 1.4126978

5 29.2895 78.448909 18.6444 49.937188 0.00000 -52.15481 5 23.9322 64.10011 18.6444 49.93718799 0.00000 -92.88855 77 78.448909 49.937188 0

6 28.1886 73.064842 18.6444 48.326311 0.00000 -66.04381 6 23.6621 61.33210 18.6444 48.32631096 0.00000 -131.36323 78 73.064842 48.326311 0

7 30.0846 80.578679 18.6444 49.937188 0.00000 -83.63509 7 26.3082 70.46390 18.6444 49.93718799 0.00000 -4.65482 79 80.578679 49.937188 0

8 27.9706 74.916437 18.6444 49.937188 0.00000 -65.15987 8 28.1995 75.52965 18.6444 49.93718799 0.00000 -30.83675 80 74.916437 49.937188 0

9 13.7924 35.749947 18.6444 48.326311 -12.57636 -71.31137 9 12.5158 32.44093 18.6444 48.32631096 -15.88538 -71.74317 81 35.749947 48.326311 12.576364

10 19.6224 52.556705 18.6444 49.937188 -9.95685 -71.21364 10 13.1570 35.23967 18.6444 49.93718799 -30.58289 -96.89075 82 52.556705 49.937188 9.9568475

11 24.2759 62.92321 18.6444 48.326311 0.00000 -66.65857 11 27.5482 71.40496 18.6444 48.32631096 -7.50424 -55.56156 83 62.92321 48.326311 0

12 45.2696 117.3387 18.6444 48.326311 0.00000 Penuh 12 51.0425 132.30206 18.6444 48.32631096 0.00000 -1.59241 84 117.3387 48.326311 0

2007

1 33.9834 91.021166 18.6444 49.937188 0.00000 Penuh

2017

1 35.9092 96.17911 18.6444 49.93718799 0.00000 -46.10366 85 91.021166 49.937188 0

2 15.9551 38.598651 18.6444 45.1045569 -6.50591 Penuh 2 22.4267 54.25461 18.6444 45.1045569 0.00000 -36.97715 86 38.598651 45.104557 6.5059062

3 18.2811 48.964026 18.6444 49.937188 -7.47907 Penuh 3 18.6269 49.89024 18.6444 49.93718799 -0.04695 -3.76069 87 48.964026 49.937188 7.4790679

4 20.9096 54.19758 18.6444 48.326311 -1.60780 -12.67702 4 24.6544 63.90418 18.6444 48.32631096 0.00000 Penuh 88 54.19758 48.326311 1.6077987

5 29.3548 78.623903 18.6444 49.937188 0.00000 Penuh 5 28.1215 75.32052 18.6444 49.93718799 0.00000 Penuh 89 78.623903 49.937188 0

6 26.6933 69.189064 18.6444 48.326311 0.00000 -26.36861 6 24.1546 62.60877 18.6444 48.32631096 0.00000 -35.18201 90 69.189064 48.326311 0

7 35.1127 94.045747 18.6444 49.937188 0.00000 Penuh 7 26.1278 69.98076 18.6444 49.93718799 0.00000 -48.83938 91 94.045747 49.937188 0

8 25.3004 67.764574 18.6444 49.937188 0.00000 Penuh 8 26.4471 70.83592 18.6444 49.93718799 0.00000 -50.19740 92 67.764574 49.937188 0

9 9.8013 25.404999 18.6444 48.326311 -22.92131 -17.19521 9 9.2950 24.09257 18.6444 48.32631096 -24.23374 -95.67386 93 25.404999 48.326311 22.921312

10 24.5408 65.729967 18.6444 49.937188 -7.12853 Penuh 10 20.3878 54.60674 18.6444 49.93718799 -19.56419 -15.35940 94 65.729967 49.937188 7.1285329

11 31.2444 80.985492 18.6444 48.326311 0.00000 -7.55536 11 28.8980 74.90361 18.6444 48.32631096 0.00000 Penuh 95 80.985492 48.326311 0

12 56.2764 145.86838 18.6444 48.326311 0.00000 Penuh 12 52.5095 136.10466 18.6444 48.32631096 0.00000 Penuh 96 145.86838 48.326311 0

2008

1 30.5391 81.795868 18.6444 49.937188 0.00000 -29.37110

2018

1 34.8810 93.42530 18.6444 49.93718799 0.00000 Penuh 97 81.795868 49.937188 0

2 17.6353 42.663262 18.6444 45.1045569 -2.44130 -7.28236 2 11.9838 28.99118 18.6444 45.1045569 -16.11338 Penuh 98 42.663262 45.104557 2.4412953

3 17.2589 46.226148 18.6444 49.937188 -6.15233 -1.77852 3 14.2312 38.11675 18.6444 49.93718799 -27.93382 Penuh 99 46.226148 49.937188 6.152335

4 28.1687 73.01318 18.6444 48.326311 0.00000 -40.88841 4 23.4449 60.76919 18.6444 48.32631096 -15.49094 -28.96821 100 73.01318 48.326311 0

5 27.4931 73.637469 18.6444 49.937188 0.00000 -14.74550 5 25.5559 68.44901 18.6444 49.93718799 0.00000 Penuh 101 73.637469 49.937188 0

6 25.4731 66.026377 18.6444 48.326311 0.00000 -41.77357 6 28.0045 72.58770 18.6444 48.32631096 0.00000 Penuh 102 66.026377 48.326311 0

7 34.0539 91.209908 18.6444 49.937188 0.00000 Penuh 7 28.7896 77.11008 18.6444 49.93718799 0.00000 -9.88223 103 91.209908 49.937188 0

8 25.5767 68.504764 18.6444 49.937188 0.00000 Penuh 8 28.8202 77.19195 18.6444 49.93718799 0.00000 Penuh 104 68.504764 49.937188 0

9 10.8717 28.17936 18.6444 48.326311 -20.14695 Penuh 9 13.3354 34.56531 18.6444 48.32631096 -13.76100 -43.47503 105 28.17936 48.326311 20.146951

10 24.4629 65.52137 18.6444 49.937188 -4.56277 Penuh 10 25.2670 67.67514 18.6444 49.93718799 0.00000 -8.27592 106 65.52137 49.937188 4.5627695

11 22.1739 57.474806 18.6444 48.326311 0.00000 Penuh 11 25.6904 66.58963 18.6444 48.32631096 0.00000 Penuh 107 57.474806 48.326311 0

12 41.3433 107.1619 18.6444 48.326311 0.00000 -6.25207 12 43.7662 113.44199 18.6444 48.32631096 0.00000 Penuh 108 107.1619 48.326311 0

2009

1 15.9102 42.613841 18.6444 49.937188 -7.32335 -24.86233

2019

1 37.2177 99.68397 18.6444 49.93718799 0.00000 Penuh 109 42.613841 49.937188 7.3233472

2 21.9887 53.19509 18.6444 45.1045569 0.00000 -12.14021 2 14.6591 35.46318 18.6444 45.1045569 -9.64138 Penuh 110 53.19509 45.104557 0

3 20.8667 55.889496 18.6444 49.937188 0.00000 -29.15627 3 8.7131 23.33704 18.6444 49.93718799 -36.24153 -1.23158 111 55.889496 49.937188 0

4 24.2416 62.83417 18.6444 48.326311 0.00000 Penuh 4 21.4744 55.66161 18.6444 48.32631096 -28.90623 -41.67842 112 62.83417 48.326311 0

5 17.6646 47.312813 18.6444 49.937188 -2.62437 Penuh 5 27.4416 73.49967 18.6444 49.93718799 -5.34375 -19.56990 113 47.312813 49.937188 2.6243747

6 24.3336 63.072712 18.6444 48.326311 0.00000 Penuh 6 24.7725 64.21038 18.6444 48.32631096 0.00000 -29.87007 114 63.072712 48.326311 0

7 25.9288 69.447718 18.6444 49.937188 0.00000 Penuh 7 26.9335 72.13860 18.6444 49.93718799 0.00000 -12.10124 -106.2853 -47.80121 115 69.447718 49.937188 0

8 25.4119 68.06324 18.6444 49.937188 0.00000 -1.86268 8 28.6269 76.67435 18.6444 49.93718799 0.00000 Penuh Kebutuhan Tampungan -106.2853 116 68.06324 49.937188 0

9 10.9665 28.42504 18.6444 48.326311 -19.90127 -18.22183 9 10.1789 26.38382 18.6444 48.32631096 -21.94249 -4.40457 Kapasitas Tampungan Waduk 106.2853 117 28.42504 48.326311 19.901271

10 18.1958 48.735593 18.6444 49.937188 -21.10287 -15.96610 10 27.1093 72.60955 18.6444 49.93718799 0.00000 Penuh 118 48.735593 49.937188 21.102866

11 24.1834 62.683429 18.6444 48.326311 -6.74575 Penuh 11 23.7645 61.59758 18.6444 48.32631096 0.00000 Penuh 119 62.683429 48.326311 6.7457476

12 41.3874 107.27626 18.6444 48.326311 0.00000 Penuh 12 45.9429 119.08395 18.6444 48.32631096 0.00000 Penuh 120 107.27626 48.326311 0

Sumber: Hasil perhitungan Sumber: Hasil perhitungan 121 55.61665 49.937188 0

Jumlah Debit 5966.2112 122 65.91536 45.104557 0

Debit Rata-rata 24.8592 123 51.52480 49.937188 0

Debit Outflow 0,75 * Debit rata-rata = 18.6444 124 51.04799 48.326311 0

125 53.54614 49.937188 0

Jadi, kapasitas tampungan waduk yang dipergunakan adalah =

126 62.07468 48.326311 0

106.2853 127 63.37385 49.937188 0

128 79.58750 49.937188 0129 35.37575 48.326311 12.950558130 38.44121 49.937188 24.446536131 56.60542 48.326311 16.167425132 93.26811 48.326311 0133 45.13190 49.937188 4.8052893134 57.25863 45.104557 0135 49.45393 49.937188 0.4832597136 68.38236 48.326311 0137 76.99327 49.937188 0138 52.12815 48.326311 0139 54.32774 49.937188 0140 82.64103 49.937188 0141 34.78728 48.326311 13.539034142 71.98711 49.937188 0143 72.03557 48.326311 0144 131.81860 48.326311 0145 73.63057 49.937188 0146 46.09935 45.104557 0147 54.51433 49.937188 0148 41.65185 48.326311 6.6744595149 89.94763 49.937188 0150 68.99525 48.326311 0151 81.53692 49.937188 0152 68.45738 49.937188 0153 19.58517 48.326311 28.741137154 82.30437 49.937188 0155 77.30606 48.326311 0156 131.27534 48.326311 0157 91.58027 49.937188 0158 53.09377 45.104557 0159 31.32358 49.937188 18.613607160 78.83215 48.326311 0161 60.17846 49.937188 0162 73.67883 48.326311 0163 74.44045 49.937188 0164 76.60889 49.937188 0165 34.23799 48.326311 14.088324166 50.30594 49.937188 13.719574167 62.47365 48.326311 0168 104.13476 48.326311 0169 81.10249 49.937188 0170 35.21965 45.104557 9.8849116171 29.69124 49.937188 30.13086172 82.46749 48.326311 0173 51.55749 49.937188 0174 69.81332 48.326311 0175 80.63715 49.937188 0176 72.50526 49.937188 0177 33.04654 48.326311 15.279776178 17.41575 49.937188 47.801209179 53.99805 48.326311 42.129474180 93.97743 48.326311 0181 118.08515 49.937188 0182 44.39446 45.104557 0.7100959183 37.26795 49.937188 13.379333184 54.24878 48.326311 7.4568675185 55.45569 49.937188 1.9383687186 71.71575 48.326311 0187 98.64251 49.937188 0188 70.54760 49.937188 0189 30.75902 48.326311 17.567291190 40.68094 49.937188 26.82354191 59.60403 48.326311 15.545819192 96.38879 48.326311 0193 82.16720 49.937188 0194 45.50392 45.104557 0195 46.60494 49.937188 3.3322506196 68.74441 48.326311 0197 64.10011 49.937188 0198 61.33210 48.326311 0199 70.46390 49.937188 0200 75.52965 49.937188 0201 32.44093 48.326311 15.885379202 35.23967 49.937188 30.582892203 71.40496 48.326311 7.5042434204 132.30206 48.326311 0205 96.17911 49.937188 0206 54.25461 45.104557 0207 49.89024 49.937188 0.04695208 63.90418 48.326311 0209 75.32052 49.937188 0210 62.60877 48.326311 0211 69.98076 49.937188 0212 70.83592 49.937188 0213 24.09257 48.326311 24.233744214 54.60674 49.937188 19.56419215 74.90361 48.326311 0216 136.10466 48.326311 0217 93.42530 49.937188 0218 28.99118 45.104557 16.113379219 38.11675 49.937188 27.933817220 60.76919 48.326311 15.490937221 68.44901 49.937188 0222 72.58770 48.326311 0223 77.11008 49.937188 0224 77.19195 49.937188 0225 34.56531 48.326311 13.760997226 67.67514 49.937188 0227 66.58963 48.326311 0228 113.44199 48.326311 0229 99.68397 49.937188 0230 35.46318 45.104557 9.6413817231 23.33704 49.937188 36.241529232 55.66161 48.326311 28.906232233 73.49967 49.937188 5.3437509234 64.21038 48.326311 0235 72.13860 49.937188 0236 76.67435 49.937188 0237 26.38382 48.326311 21.942491238 72.60955 49.937188 0239 61.59758 48.326311 0240 119.08395 48.326311 0

Kebutuhan Tampungan

Kebutuhan Tampungan

Kebutuhan Tampungan

Kebutuhan Tampungan(m3/dt) (106m3) (m3/dt) (106m3) (m3/dt) (106m3) (m3/dt) (106m3)

m3/dt

m3/dt/bln

m3/dt/bln

Juta m3

-60 -10 40 90 140 190 2400

50

100

150

200

250

Kapasitas Waduk Metode Sequent Peak

inflow outflow kapasitas

Waktu (bulan)

Inflo

w, O

utflo

w, K

apas

itas

(juta

m3)

Soal b Soal f

Diketahui : q intake 1.6 lt/dt/ha = 4147.2 m3/ha Diketahui : Kapasitas Total Kapasitas Aktif + Kapasitas Mati

S 37877976 = 36844416 + 911104

Ditanya : luas sawah ? = 47347470

Jawab : Misal bentuk waduk adalah kubus

A = S / q Lebar = x

= 9133.38542 Ha Panjang = 7 x

= 91333854.2 Tinggi = x

Ditanya : Ukuran Kubus ?

Jawab :

Soal c V = l * p * t

41997420 = x * 7x * x

volume air yang terbuang melalui spillway selama 3 tahun berturut-turut dan berapa rata 41997420 =

rata volume yang terbuang dalam tiap tahunnya ? 41997420 / 7

= 6763924.2857

Jawab : x = 189.1180 m

Total spillout = 358526736 Jadi lebar waduk = 189.1180 m

Rata - rata spillout = Tahun 1 = 5424021 panjang = 1323.8261 m

Tahun 2 = 13029012 tinggi = 189.1180 m

Tahun 3 = 11424195

Soal d Soal g

Periode Kritis terjadi rata - rata pada bulan : Februari - Maret Diketahui : Elevasi dasar waduk 114 m

Ditanya : E levasi ambang spillway ?

Jawab : E levasi ambang spillway = 114 + 187,3820 m

Soal e = + 301,3802 m

Diketahui :

Kapasitas Tampungan Aktif = 37877976

Kapasitas Tampungan Mati = 25 % kapasitas tampungan aktif

Maka :

Kapasitas tampungan mati =

= 9469494

m3

m3

m2

7 * x3

x3 =

m3

m3

m3

m3

m3

25 % x 36844416 m3

m3

Jan.

Mar

.M

eiJu

l.Se

pt.

Nop.

Jan.

Mar

.M

eiJu

l.Se

pt.

Nop.

Jan.

Mar

.M

eiJu

l.Se

pt.

Nop.

0E+00

1E+09

2E+09

Kurva Massa KapasitasTampungan Waduk

inflow

Deficit

Spill Out

Waktu ( bulan )

Volu

me K

om

ula

tif

(Juta

m3)

First Spill = 45308160 m3

First Deficit = 123878030 m3

Second Spill = 202447900,8 m3

Third Spill = 351064627 m3

Third Deficit = 486263347 m3

Second Deficit = 298684713,6 m3

Fourth Deficit = 710149550,4 m3

Fourth Spill = 880770153,6m3

Fiveth Spill = 1168859678 m3

Fiveth Deficit = 1011719938 m3

MelimpahPengisian Kosong

Soal b Soal f

Diketahui q intake 1.6 lt/dt/ha = 4147.2 m3/ha Diketahui : Kapasitas Total = Kapasitas Aktif + Kapasitas Mati

S 37503284.4 = 32637469+ 8159367

Ditanya luas sawah ? = 46879106

Jawab : Misal bentuk waduk adalah kubus

A = S / q Lebar = x

= 9043.037326 Ha Panjang = 7 x

= 90430373.26 Tinggi = x

Ditanya : Ukuran Kubus ?

Jawab :

Soal c V = l * p * t

37072403 =x * 7x * x

volume air yang terbuang melalui spillway selama 3 tahun berturut-turut dan berapa rata 37072403 =

rata volume yang terbuang dalam tiap tahunnya ? 370724003 / 7

= 6697015.0714

Jawab : x = 188.4924 m

Total spillout 368039927 Jadi lebar waduk = 188.4924 m

Rata - rata spillout Tahun 1 = 5538920 panjang = 1319.4465 m

Tahun 2 = 13345030 tinggi = 188.4924 m

Tahun 3 = 11786044

Soal d Soal g

Periode Kritis terjadi rata - rata pada bulan : Februari - Maret Diketahui : Elevasi dasar waduk = 114 m

Ditanya : E levasi ambang spillway ?

Jawab : E levasi ambang spillway = 114 + 179,9601 m

Soal e = + 293,9601 m

Diketahui :

Kapasitas Tampungan Aktif = 37503284.4

Kapasitas Tampungan Mati = 25 % kapasitas tampungan aktif

Maka :

Kapasitas tampungan mati =

= 9375821

m3

m3

m2

7 * x3

x3 =

m3

m3

m3

m3

m3

25 % x 32637469 m3

m3

Jan.

Mar

.M

eiJu

l.Se

pt.

Nop.

Jan.

Mar

.M

eiJu

l.Se

pt.

Nop.

Jan.

Mar

.M

eiJu

l.Se

pt.

Nop.

0E+00

1E+09

2E+09

Kurva Massa KapasitasTampungan Waduk

inflow

Deficit

SpillOut

Waktu ( bulan )

Volu

me K

om

ula

tif

(Juta

m3)

First Spill = 46818432 m3

First Deficit = 124515304 m3

Second Spill = 249491664m3

Third Spill = 355997488 m3

Third Deficit = 492498762 m3

Second Deficit = 302744576 m3

Melimpah KosongPengisian

Fourth Spill = 545751674 m3

Fiveth Spill = 1185965574 m3

Fourth Deficit = 720697116 m3

Fiveth Deficit = 999143882 m3

Tabel 4.2

Kebutuhan Air Irigasi (lt/dt/ha)

Tabel 4.2. Kebutuhan Air Irigasi (lt/dt/ha)Bulan Periode A B

Jan1 0.650 0.660

2 1.217 1.227

Feb1 1.138 1.288

2 1.375 1.525

Mart1 0.850 1.060

2 0.613 0.653

Apr1 0.680 1.530

2 0.945 1.365

Mei1 2.020 2.010

2 1.340 1.500

Juni1 0.919 1.769

2 1.970 1.900

Juli1 0.230 0.330

2 0.160 0.260

Agst1 2.907 2.837

2 1.610 2.030

Sept1 0.760 0.800

2 2.150 2.350

Okt1 0.600 0.760

2 2.126 2.116

Nov1 2.000 1.890

2 2.821 2.711

Des1 0.850 1.060

2 1.699 1.899

Tabel 4.2

Kebutuhan Air Irigasi (lt/dt/ha)

Tabel 4.2. Kebutuhan Air Irigasi (lt/dt/ha)C

0.570

1.137

0.958

1.195

2.010

1.083

1.880

0.650

1.990

1.740

2.119

1.550

0.340

0.270

2.487

1.315

1.230

2.110

1.000

2.096

1.840

2.661

2.010

1.659

Kapasitas tampungan tahun sebelumnya = 389874477.21 Usia Guna Waduk = 40 thn

Tanpungan mati = 25 % x Kap Tamp thn Sebelumnya = 97468619.3025365 Luas daerah irigasi = 7500 Ha

Jumlah periode gagal = 0 NWL = 252.558

Peluang Kegagalan Tampungan = 0% LWL = 238.670

Peluang Keandalan Tampungan = 100% Kebutuhan air baku = 18

Tabel 4.23. Perhitungan Kapasitas Tampungan Waduk (Simulasi 100%) Tahun 2019

No BulanPeriode Jumlah Inflow Outflow Kebutuhan Air Baku A Evaporasi Total Outflow S akhir periodeS total periode Spillout El Mk Air Wdk

KeteranganHari (lt/dt/ha) (mm/hari) (m)

[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21]

233.44 330.91

1Jan.

1 15 37.22 48.23 0.66 4.95 6.42 18.00 23.33 19.57 4.53 1.33 29.74 250.60 233.44 330.91 0.00 192.99 sukses

2 2 16 37.22 51.45 1.23 9.20 12.72 18.00 24.88 19.57 4.53 1.42 37.60 245.87 233.44 330.91 12.43 192.99 sukses

3Feb.

1 15 14.66 19.00 1.29 9.66 12.52 18.00 23.33 19.57 4.96 1.46 35.85 215.14 215.14 312.60 0.00 192.07 sukses

4 2 13 14.66 16.47 1.53 11.44 12.85 18.00 20.22 18.97 4.96 1.22 33.06 197.31 197.31 294.78 0.00 191.12 sukses

5Mar.

1 15 8.71 11.29 1.06 7.95 10.30 18.00 23.33 18.37 5.24 1.44 33.63 173.53 173.53 271.00 0.00 189.77 sukses

6 2 16 8.71 12.04 0.65 4.90 6.77 18.00 24.88 17.54 5.24 1.47 31.65 152.45 152.45 249.92 0.00 188.48 sukses

7Apr.

1 15 21.47 27.83 1.53 11.48 14.87 18.00 23.33 16.78 4.78 1.20 38.20 140.88 140.88 238.35 0.00 187.73 sukses

8 2 15 21.47 27.83 1.37 10.24 13.27 18.00 23.33 16.35 4.78 1.17 36.60 130.94 130.94 228.41 0.00 187.06 sukses

9Mei

1 15 27.44 35.56 2.01 15.07 19.54 18.00 23.33 15.97 5.01 1.20 42.87 122.44 122.44 219.91 0.00 186.46 sukses

10 2 16 27.44 37.94 1.50 11.25 15.55 18.00 24.88 15.64 5.01 1.25 40.44 118.69 118.69 216.16 0.00 186.19 sukses

11Jun.

1 15 24.77 32.11 1.77 13.27 17.19 18.00 23.33 15.49 4.01 0.93 40.52 109.34 109.34 206.81 0.00 185.50 sukses

12 2 15 24.77 32.11 1.90 14.25 18.47 18.00 23.33 15.12 4.01 0.91 41.80 98.74 98.74 196.21 0.00 184.67 sukses

13Jul.

1 15 26.93 34.91 0.33 2.48 3.21 18.00 23.33 14.69 5.34 1.18 26.54 105.93 105.93 203.40 0.00 185.24 sukses

14 2 16 26.93 37.23 0.26 1.95 2.70 18.00 24.88 14.98 5.34 1.28 27.58 114.31 114.31 211.77 0.00 185.87 sukses

15Agt.

1 15 28.63 37.10 2.84 21.28 27.58 18.00 23.33 15.32 4.92 1.13 50.90 99.37 99.37 196.84 0.00 184.72 sukses

16 2 16 28.63 39.57 2.03 15.22 21.05 18.00 24.88 14.72 4.92 1.16 45.93 91.86 91.86 189.33 0.00 184.12 sukses

17Sept.

1 15 10.18 13.19 0.80 6.00 7.78 18.00 23.33 14.40 4.47 0.97 31.10 72.98 72.98 170.45 0.00 182.50 sukses

18 2 15 10.18 13.19 2.35 17.63 22.84 18.00 23.33 13.60 4.47 0.91 46.17 39.09 39.09 136.56 0.00 179.12 sukses

19Okt.

1 15 27.11 35.13 0.76 5.70 7.39 18.00 23.33 12.04 5.59 1.01 30.72 42.50 42.50 139.97 0.00 179.49 sukses

20 2 16 27.11 37.48 2.12 15.87 21.94 18.00 24.88 12.20 5.59 1.09 46.82 32.06 32.06 129.53 0.00 178.32 sukses

21Nop.

1 15 23.76 30.80 1.89 14.18 18.37 18.00 23.33 11.70 4.86 0.85 41.70 20.31 20.31 117.78 0.00 176.90 sukses

22 2 15 23.76 30.80 2.71 20.33 26.35 18.00 23.33 11.10 4.86 0.81 49.68 0.62 0.62 98.09 0.00 174.19 sukses

23Des.

1 15 45.94 59.54 1.06 7.95 10.30 18.00 23.33 10.04 4.98 0.75 33.63 25.78 25.78 123.25 0.00 177.58 sukses

24 2 16 45.94 63.51 1.90 14.24 19.69 18.00 24.88 11.38 4.98 0.91 44.57 43.81 43.81 141.28 0.00 179.63 sukses

Sumber: Hasil perhitunganKeterangan :

1. Diketahui 17. - Jika (16) < 0 maka (17) = 0

2. Diketahui 10. Data Kebutuhan Air Baku - Jika (16) < Kapasitas Tampungan maka (17) = (16)

3. Diketahui - Jika (16) > Kapasitas Tampumgan maka (17) = Kapasitas Tampungan

4. Diketahui 18. (17) + Tampungan mati

5. Debit Bangkitan Stasiun FFWS 13. Data Evaporasi 19. - Jika (16) - (17) < Kapasitas Tampungan Waduk maka (19) = 0

- Jika (16) - (17) > Kapasitas Tampungan maka (19) = (16) - Kapasitas Tampungan Waduk

7. Kebutuhan Air Irigasi 15. Total Outflow (9) + (11)

8. [(7) . Luas Lahan]/1000 16. (17) + (8) - (14) - (15) 21. - Jika (18) < Tampungan Mati maka (21) = Gagal

- Jika (18) > Tampungan Mati maka (21) = Sukses

m3

m3

m3/dt

Sn+1

(m3/dt) (juta m3) (m3/dt) (juta m3) (m3/dt) (juta m3) km2 (juta m3) (juta m3) (juta m3) (juta m3) (juta m3) (juta m3)

9. [(8) . (4) . 24 . 60 . 60]/106

11. [(10) . (4) . 24 . 60 . 60]/106

12. Didapatkan dari hub. persamaan elevasi-kapasitas-luas : A = 0,8097 (18)0,559

6. [(5). (4) . 24 . 60 . 60]/106 14. [(13) . (12) . (4) . 103]/106

20. Elevasi muka air waduk = 178,01 (18)0,0408

Kapasitas tampungan efektif waduk = 5290000000.00

Kapasitas tampungan tahun sebelumnya = 14380747.02 Usia Guna Waduk = 40 thn

Tanpungan mati = 25 % x Kap Tamp Waduk thn sebelumnya = 3595186.75562881 Luas daerah irigasi = 10862 Ha

Jumlah periode gagal = 17 NWL = 252.558

Peluang Kegagalan Tampungan = 20% LWL = 238.670

Peluang Keandalan Tampungan = 80% Kebutuhan air baku = 18

Tabel 4.42. Perhitungan Kapasitas Tampungan Waduk (Simulasi 80%) Tahun 2018

No BulanPeriode Jumlah Inflow Outflow Kebutuhan Air Baku A Evaporasi Total Outflow S akhir periode S total periode Spillout El Mk Air Wdk

KeteranganHari (lt/dt/ha) (mm/hari) (m)

[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20] [21]

9.951 13.547

1Jan.

1 15 34.881 45.206 0.650 7.060 9.150 18.000 23.328 3.386 4.830 0.245 32.478 22.434 9.951 13.547 12.482 197.981 sukses

2 2 16 34.881 48.220 1.217 13.219 18.274 18.000 24.883 3.386 4.830 0.262 43.157 14.752 9.951 13.547 4.801 197.981 sukses

3Feb.

1 15 11.984 15.531 1.138 12.361 16.020 18.000 23.328 3.386 5.260 0.267 39.348 -14.133 0.000 3.595 0.000 187.550 gagal

4 2 13 11.984 13.460 1.375 14.935 16.775 18.000 20.218 1.635 5.260 0.112 36.993 -23.644 0.000 3.595 0.000 187.550 gagal

5Mar.

1 15 14.231 18.444 0.850 9.233 11.966 18.000 23.328 1.635 5.540 0.136 35.294 -16.986 0.000 3.595 0.000 187.550 gagal

6 2 16 14.231 19.673 0.613 6.658 9.205 18.000 24.883 1.635 5.540 0.145 34.088 -14.560 0.000 3.595 0.000 187.550 gagal

7Apr.

1 15 23.445 30.385 0.680 7.386 9.572 18.000 23.328 1.635 5.080 0.125 32.900 -2.640 0.000 3.595 0.000 187.550 gagal

8 2 15 23.445 30.385 0.945 10.265 13.303 18.000 23.328 1.635 5.080 0.125 36.631 -6.371 0.000 3.595 0.000 187.550 gagal

9Mei

1 15 25.556 33.120 2.020 21.941 28.436 18.000 23.328 1.635 5.310 0.130 51.764 -18.774 0.000 3.595 0.000 187.550 gagal

10 2 16 25.556 35.329 1.340 14.555 20.121 18.000 24.883 1.635 5.310 0.139 45.004 -9.814 0.000 3.595 0.000 187.550 gagal

11Jun.

1 15 28.005 36.294 0.919 9.982 12.937 18.000 23.328 1.635 4.310 0.106 36.265 -0.077 0.000 3.595 0.000 187.550 gagal

12 2 15 28.005 36.294 1.970 21.398 27.732 18.000 23.328 1.635 4.310 0.106 51.060 -14.872 0.000 3.595 0.000 187.550 gagal

13Jul.

1 15 28.790 37.311 0.230 2.498 3.238 18.000 23.328 1.635 5.640 0.138 26.566 10.607 9.951 13.547 0.656 197.981 sukses

14 2 16 28.790 39.799 0.160 1.738 2.403 18.000 24.883 3.386 5.640 0.306 27.286 22.159 9.951 13.547 12.207 197.981 sukses

15Agt.

1 15 28.820 37.351 2.907 31.576 40.922 18.000 23.328 3.386 5.220 0.265 64.250 -17.213 0.000 3.595 0.000 187.550 gagal

16 2 16 28.820 39.841 1.610 17.488 24.175 18.000 24.883 1.635 5.220 0.137 49.058 -9.354 0.000 3.595 0.000 187.550 gagal

17Sept.

1 15 13.335 17.283 0.760 8.255 10.699 18.000 23.328 1.635 4.770 0.117 34.027 -16.861 0.000 3.595 0.000 187.550 gagal

18 2 15 13.335 17.283 2.150 23.353 30.266 18.000 23.328 1.635 4.770 0.117 53.594 -36.428 0.000 3.595 0.000 187.550 gagal

19Okt.

1 15 25.267 32.746 0.600 6.517 8.446 18.000 23.328 1.635 5.890 0.144 31.774 0.827 0.827 4.423 0.000 189.142 sukses

20 2 16 25.267 34.929 2.126 23.093 31.923 18.000 24.883 1.831 5.890 0.173 56.806 -21.223 0.000 3.595 0.000 187.550 gagal

21Nop.

1 15 25.690 33.295 2.000 21.724 28.154 18.000 23.328 1.635 5.160 0.127 51.482 -18.314 0.000 3.595 0.000 187.550 gagal

22 2 15 25.690 33.295 2.821 30.642 39.712 18.000 23.328 1.635 5.160 0.127 63.040 -29.871 0.000 3.595 0.000 187.550 gagal

23Des.

1 15 43.766 56.721 0.850 9.233 11.966 18.000 23.328 1.635 5.280 0.129 35.294 21.298 9.951 13.547 11.347 197.981 sukses

24 2 16 43.766 60.502 1.699 18.455 25.512 18.000 24.883 3.386 5.280 0.286 50.395 19.773 9.951 13.547 9.822 197.981 sukses


1. Diketahui 17. - Jika (16) < 0 maka (17) = 0

2. Diketahui 10. Data Kebutuhan Air Baku - Jika (16) < Kapasitas Tampungan maka (17) = (16)

3. Diketahui - Jika (16) > Kapasitas Tampumgan maka (17) = Kapasitas Tampungan

4. Diketahui 18. (17) + Tampungan mati

5. Debit Bangkitan Stasiun FFWS 13. Data Evaporasi 19. - Jika (16) - (17) < Kapasitas Tampungan Waduk maka (19) = 0

- Jika (16) - (17) > Kapasitas Tampungan maka (19) = (16) - Kapasitas Tampungan Waduk

7. Kebutuhan Air Irigasi 15. Total Outflow (9) + (11)

8. [(7) . Luas Lahan]/1000 16. (17) + (8) - (14) - (15) 21. - Jika (18) < Tampungan Mati maka (21) = Gagal

- Jika (18) > Tampungan Mati maka (21) = Sukses

m3

m3

m3

m3/dt

Sn+1

(m3/dt) (juta m3) (m3/dt) (juta m3) (m3/dt) (juta m3) km2 (juta m3) (juta m3) (juta m3) (juta m3) (juta m3) (juta m3)

9. [(8) . (4) . 24 . 60 . 60]/106

11. [(10) . (4) . 24 . 60 . 60]/106

12. Didapatkan dari hub. persamaan elevasi-kapasitas-luas : A = 0,8097 (18)0,559

6. [(5). (4) . 24 . 60 . 60]/106 14. [(13) . (12) . (4) . 103]/106

20. Elevasi muka air waduk = 178,01 (18)0,0408

Vol. Waduk tahun sebelumnya = 168866690 Head Loss = 1 m

Vol. Tampungan mati thn sebelumnya = 25 % x Kap Tamp Wdk = 42216672.4483352 Elevasi dasar waduk = 157Peluang Kegagalan = 0 % Elevasi TWL = 149Peluang Keandalan = 100 % Effisiensi = 60 %

Operasi beban puncak = 4 jam/hari = 13

= 6

Tabel 4.63. Pola Operasi Pembangkitan Listrik Tenaga Air Tahun 2019

No Bulan PeriodeJumlah

S Elevasi Operasi PLTATotal Beban Total Energi

Kontrol selama 24 jamAkhir periode MAW Base Load Peak Load Debit Debit

Debit Waktu Daya Energi Debit Waktu Daya Energi Tersedia Operasi

(hari) (m) (m) (jam) (Mw) (MwH) (jam) (Mw) (MwH) (Mw) (Mw)[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17] [18] [19] [20]

168.8671

Jan.1 15 180.124 192.994 42.994 22.950 22.950 20.000 5.808 116.155 13 4 3.290 13.159 9.098 129.314 550.800 511.000

2 2 16 168.867 192.994 42.994 27.203 27.203 20.000 6.884 137.678 13 4 3.290 13.159 10.174 150.837 652.860 596.0503

Feb.1 15 166.000 192.070 42.070 27.660 27.660 20.000 6.849 136.986 13 4 3.219 12.876 10.068 149.862 663.840 605.200

4 2 13 175.671 191.122 41.122 29.438 29.438 20.000 7.125 142.503 13 4 3.147 12.586 10.272 155.089 706.500 640.7505

Mar.1 15 133.897 189.771 39.771 25.950 25.950 20.000 6.075 121.495 13 4 3.043 12.173 9.118 133.668 622.800 571.000

6 2 16 110.280 188.480 38.480 22.898 22.898 20.000 5.186 103.724 13 4 2.944 11.778 8.131 115.501 549.540 509.9507

Apr.1 15 108.704 187.729 37.729 29.475 29.475 20.000 6.546 130.911 13 4 2.887 11.548 9.432 142.458 707.400 641.500

8 2 15 101.036 187.056 37.056 28.238 28.238 20.000 6.159 123.178 13 4 2.835 11.342 8.994 134.520 677.700 616.7509

Mei1 15 94.477 186.459 36.459 33.075 33.075 20.000 7.098 141.956 13 4 2.790 11.159 9.888 153.115 793.800 713.500

10 2 16 85.857 186.188 36.188 29.250 29.250 20.000 6.230 124.608 13 4 2.769 11.076 8.999 135.684 702.000 637.00011

Jun.1 15 84.367 185.496 35.496 31.268 31.268 20.000 6.533 130.653 13 4 2.716 10.864 9.249 141.517 750.420 677.350

12 2 15 76.187 184.675 34.675 32.250 32.250 20.000 6.582 131.642 13 4 2.653 10.613 9.235 142.255 774.000 697.00013

Jul.1 15 81.738 185.236 35.236 20.475 20.475 20.000 4.247 84.930 13 4 2.696 10.785 6.943 95.715 491.400 461.500

14 2 16 82.687 185.867 35.867 19.950 19.950 20.000 4.212 84.235 13 4 2.744 10.978 6.956 95.213 478.800 451.00015

Agt.1 15 76.676 184.725 34.725 39.278 39.278 20.000 8.028 160.559 13 4 2.657 10.628 10.685 171.188 942.660 837.550

16 2 16 66.448 184.120 34.120 33.225 33.225 20.000 6.673 133.451 13 4 2.611 10.443 9.283 143.894 797.400 716.50017

Sept.1 15 56.311 182.497 32.497 24.000 24.000 20.000 4.591 91.812 13 4 2.487 9.946 7.077 101.758 576.000 532.000

18 2 15 30.162 179.118 29.118 35.625 35.625 20.000 6.106 122.114 13 4 2.228 8.912 8.334 131.026 855.000 764.50019

Okt.1 15 32.792 179.491 29.491 23.700 23.700 20.000 4.114 82.278 13 4 2.257 9.026 6.370 91.304 568.800 526.000

20 2 16 23.192 178.322 28.322 33.870 33.870 20.000 5.646 112.924 13 4 2.167 8.668 7.813 121.592 812.880 729.40021

Nop.1 15 15.670 176.898 26.898 32.175 32.175 20.000 5.094 101.879 13 4 2.058 8.233 7.152 110.111 772.200 695.500

22 2 15 0.478 174.191 24.191 38.332 38.332 20.000 5.458 109.160 13 4 1.851 7.404 7.309 116.564 919.980 818.65023

Des.1 15 19.892 177.576 27.576 25.950 25.950 20.000 4.212 84.240 13 4 2.110 8.440 6.322 92.681 622.800 571.000

24 2 16 31.693 179.632 29.632 32.243 32.243 20.000 5.624 112.471 13 4 2.267 9.070 7.891 121.540 773.820 696.850

Sumber: Hasil perhitunganKeterangan :1. Nomor 7. (6) - el. TWL - Head Loss 11. {(7) . 9,8 . Effisiensi . (9)}/1000 17. (11) + (15)2. Bulan 8. Diket dari simulasi 100% {total outflow} 12. (10) . (11) 18. (12) + (16)

3. Periode 19. (8) . 24

4. Jumlah Hari 14. Data Waktu Peak Load 20. {[(9) . (10)] + [(13) . (14)]}

15. {(7) . 9.8. Effisiensi . (13)}/1000

6. Diket dari simulasi 100% {El. MAW} 16. (14) . (15)

m3

m3

Qmaksimum m3/dt

Qminimum m3/dt

Heff Qout PLTA

(m3/dt) (m3/dt) (m3/dt) (m3/dt) (m3/dt) (m3/dt)

9. Jika (8) > Qmin, maka (8) 13. Data Qmaks

Jika (8) < Qmin, maka Qmin

5. Diket dari simulasi 100% {[S tot x 106]/[(4) . 24 . 60 . 60]} 10. Jika (9) > Qmaks, maka (24 - (14))

Jika (9) < Qmin, maka {[(8) . 24] - [Qmaks . (14)]} / (9)

Tabel 5.1. Data Debit Sungai

Bulan TanggalDebit

Jan1 9516 100

Feb1 4516 86

Mar1 71016 745

Apr1 63816 750

May1 20516 450

Jun1 9116 106

Jul1 11016 131

Aug1 7016 79

Sep1 8516 95

Oct1 7516 78

Nov1 57016 650

Dec1 56016 600

Sumber: Data1 Debit minimum yang harus dijaga untuk kebutuhan air di daerah down stream adalah = 240 m3/dt2 Debit maksimum yang dapat dilepas dari waduk agar tidak terjadi banjir di daerah hilir adalah = 1400 m3/dt

(m3/dt)

Tabel 5.2. Perhitungan Analitis Kapasitas Waduk

Bulan TanggalInflow Outflow Kekurangan KelebihanInflow Outflow

[1] [2] [3] [4] [5] [6] [7] [8]

Jan1 95 123.120 240 311.040 -187.9200 -187.920016 100 138.240 240 331.776 -193.5360 -193.5360

Feb1 45 58.320 240 311.040 -252.7200 -252.720016 86 104.026 240 290.304 -186.2784 -186.2784

Mar1 710 920.160 240 311.040 609.1200 609.120016 745 1029.888 240 331.776 698.1120 698.1120

Apr1 638 826.848 240 311.040 515.8080 515.808016 750 972.000 240 311.040 660.9600 660.9600

Mei1 205 265.680 240 311.040 -45.3600 -45.360016 450 622.080 240 331.776 290.3040 290.3040

Jun1 91 117.936 240 311.040 -193.1040 -193.104016 106 137.376 240 311.040 -173.6640 -173.6640

Jul1 110 142.560 240 311.040 -168.4800 -168.480016 131 181.094 240 331.776 -150.6816 -150.6816

Agust1 70 90.720 240 311.040 -220.3200 -220.320016 79 109.210 240 331.776 -222.5664 -222.5664

Sep1 85 110.160 240 311.040 -200.8800 -200.880016 95 123.120 240 311.040 -187.9200 -187.9200

Okt1 75 97.200 240 311.040 -213.8400 -213.840016 78 107.827 240 331.776 -223.9488 -223.9488

Nov1 570 738.720 240 311.040 427.6800 427.680016 650 898.560 240 331.776 566.7840 566.7840

Des1 560 725.760 240 311.040 414.7200 414.720016 600 829.440 240 331.776 497.6640 497.6640

Sumber: Hasil perhitunganKeterangan :1. Bulan 7. Jika (4) < (6)2. Tanggal 8. Jika (4) > (6)3. Data (Tabel 5.1) 9. Jika (4) < (6) = (7)4. {(3) . 24 . 60 . 60} / 10^6 Jika (4) > (6) = Melimpah5. Debit Minimum yang harus dijaga (Data6. {(5) . 24 . 60 . 60} / 10^6

Kapasitas tampungan waduk : 1269.4752 *10^6

( m3/dt ) (106 m3) ( m3/dt ) (106 m3) (106 m3) (106 m3)

Tabel 5.2. Perhitungan Analitis Kapasitas Waduk

Volume

[9]-187.9200

Jan15

-381.4560 16-634.1760

Feb15

-820.4544 14Melimpah

Mar15

Melimpah 16Melimpah

Apr15

Melimpah 15Melimpah

Mei15

Melimpah 16-193.1040

Jun15

Melimpah 15Melimpah

Jul15

Melimpah 16-220.3200

Agust15

-442.8864 16-643.7664

Sep15

-831.6864 15-1045.5264

Okt15

-1269.4752 16Melimpah

Nov15

Melimpah 16Melimpah

Des15

Melimpah 16

(106 m3)

VolumeTampungan : 1269.4752Tabel 5.3. Perhitungan Pola Operasi Waduk

Bulan TanggalInflow OutflowInflow Outflow Volume Pelimpahan Pelimpahan

[1] [2] [3] [4] [5] [6] [7] [8] [9]

Jan1 95 123.120 240 311.040 1081.5552 0.0000 0.000

Jan15 1081.5552

16 100 138.240 240 331.776 888.0192 0.0000 0.000 16 888.0192 -259.6944

Feb1 45 58.320 240 311.040 635.2992 0.0000 0.000

Feb15 635.2992 250.000 345.600 1359.936 30.005

16 86 104.026 240 290.304 449.0208 0.0000 0.000 14 449.0208

Mar1 710 920.160 240 311.040 1058.1408 0.0000 0.000

Mar15 1058.1408

16 745 1029.888 240 331.776 1269,4752 486.7776 352.125 16 1756.2528

Apr1 638 826.848 240 311.040 1269,4752 1002.5856 725.250

Apr15 2272.0608

16 750 972.000 240 311.040 1269,4752 1663.5456 1203.375 15 2933.0208

Mei1 205 265.680 240 311.040 1269,4752 1618.1856 1170.563 =

Mei15 2887.6608

16 450 622.080 240 331.776 1269,4752 1908.4896 1380.562 16 3177.9648

Jun1 91 117.936 240 311.040 1269,4752 1715.3856 1240.875

Jun15 2984.8608

16 106 137.376 240 311.040 1269,4752 1541.7216 1115.250 15 2811.1968

Jul1 110 142.560 240 311.040 1269,4752 1373.2416 993.375

Jul15 2642.7168

16 131 181.094 240 331.776 1269,4752 1222.5600 884.375 16 2492.0352

Agust1 70 90.720 240 311.040 1269,4752 1002.2400 725.000

Agust15 2271.7152

16 79 109.210 240 331.776 1269,4752 779.6736 564.000 16 2049.1488

Sep1 85 110.160 240 311.040 1269,4752 578.7936 418.688

Sep15 1848.2688

16 95 123.120 240 311.040 1269,4752 390.8736 282.750 15 1660.3488

Okt1 75 97.200 240 311.040 1269,4752 177.0336 128.063

Okt15 1446.5088

16 78 107.827 240 331.776 1222.5600 0.0000 0.000 16 1222.5600

Nov1 570 738.720 240 311.040 1269,4752 380.7648 275.438

Nov15 1650.2400

16 650 898.560 240 331.776 1269,4752 947.5488 685.438 16 2217.0240

Des1 560 725.760 240 311.040 1269,4752 1362.2688 985.438

Des15 2631.7440

16 600 829.440 240 331.776 1269,4752 1859.9328 1345.438 16 3129.4080

Sumber: Hasil perhitunganKeterangan :1. Bulan 7. Volume Tampungan Akhir Periode + (4) - (6)

2. Tanggal Jika (7) > Volume Tampungan, Maka = Volume Tampungan3. Data (Tabel 5.1) 8. Jika (7) - Volume Tampungan < 0, Maka 04. {(3) . 24 . 60 . 60} / 10^65. Debit Minimum yang harus dijaga (Data)6. {(5) . 24 . 60 . 60} / 10^6 9. Jika (8) > 0, Maka = (8) . 10^6 / (24 . Jumlah hari . 3600)

1380.5625

106 m3

( m3/dt ) (106 m3) ( m3/dt ) (106 m3) (106 m3) (106 m3) ( m3/dt )

Jika (7) - Volume Tampungan > 0, Maka = Volume Tampungan Akhir Periode + (4) - (6) - Volume Tampungan

Jika Pelimpahan < 1400 m^3/detik, maka Waduk rencana baik untuk dibangun

Data-data yang digunakan adalah :

C = 1.6L = 17 m

El. Crest weir = 160 m

Tabel 5.4. Hidrograf Inflow

PeriodeQ

Inflow

(jam)0 11.7201 39.7632 180.0783 517.9194 958.4535 872.9026 725.3307 578.5488 458.2919 369.88810 307.83011 261.35212 224.07813 192.86714 166.24415 143.53416 124.16117 109.26618 97.55719 87.68820 79.15121 71.57422 64.84823 58.87824 53.578

Sumber: Data

Tabel 5.5. Lengkung Kapasitas Waduk Wonorejo Volume Crest Weir = -114.15Elevasi Volume Elevasi Volume

(m) (m)

85.00 3.83 160 090.00 21.66 165 Err:509 Err:509100.00 31.36 170 Err:509 Err:509110.00 34.92 175 Err:509 Err:509120.00 38.05 Sumber: Data130.00 0.00

0.00 Err:509 Keterangan :0.00 0.00 1. Elevasi di mulai dari Crest Weir (Tabel 6.2)0.00 0.00 2. Volume waduk (Tabel 6.2) - Volume Crest Weir0.00 0.00

Sumber: Data

m1/2/dt

( m3/dt )

( 106 m3 )

( 106 m3 ) ( 106 m3 )

Perhitungan Penelusuran Banjir Melalui Pelimpah

Elevasi Spillway = 160 m

Lebar Spillway = 17 m

Tabel 5.8. Perhitungan Penelusuran Banjir Melalui Pelimpah

Periode Inflow Inflow rata2 Y j H El. MAW Total Outflow

(jam) (m) (m)

[1] [2] [3] [4] [5] [6] [7] [8]

0 11.720 0.905 160.905 11.720

1 39.763 25.742 172.472 198.214 0.916 160.916 11.927

2 180.078 109.921 174.359 284.280 1.301 161.301 19.679

3 517.919 348.999 241.398 590.396 2.642 162.642 52.803

4 958.453 738.186 484.790 1222.976 5.330 165.330 138.567

5 872.902 915.678 945.843 1861.520 7.918 167.918 250.696

6 725.330 799.116 1360.128 2159.244 9.082 169.082 311.503

7 578.548 651.939 1536.239 2188.178 9.139 169.139 328.896

8 458.291 518.420 1530.387 2048.806 8.550 168.550 309.317

9 369.888 414.090 1430.173 1844.262 7.679 167.679 272.712

10 307.830 338.859 1289.612 1628.471 6.848 166.848 235.269

11 261.352 284.591 1157.932 1442.523 6.100 166.100 201.564

12 224.078 242.715 1039.395 1282.110 5.454 165.454 172.487

13 192.867 208.473 937.137 1145.609 4.905 164.905 147.684

14 166.244 179.556 850.241 1029.797 4.437 164.437 127.083

15 143.534 154.889 775.632 930.521 4.035 164.035 109.551

16 124.161 133.848 711.419 845.267 3.688 163.688 94.977

17 109.266 116.714 655.313 772.026 3.388 163.388 82.803

18 97.557 103.412 606.421 709.833 3.131 163.131 72.783

19 87.688 92.623 564.266 656.888 2.912 162.912 64.545

20 79.151 83.420 527.799 611.218 2.721 162.721 57.697

21 71.574 75.363 495.824 571.187 2.552 162.552 51.925

22 64.848 68.211 467.337 535.548 2.401 162.401 46.990

23 58.878 61.863 441.568 503.431 2.265 162.265 42.723

24 53.578 56.228 417.985 474.213 2.139 162.139 39.004


1. Periode

2. Inflow (dari data grafik hidrograf inflow)

5. (3) + (4)

7. Elevasi spillway + (6)

(m3/dt) (m3/dt) (m3/dt) (m3/dt) (m3/dt)

3. [(2)n-1 + (2)n]/2

4. Interpolasi antara total outflow-Y-Qrata (fungsi tampungan)

6. Interpolasi antara (8) - tinggi MA(fungsi tampungan) - Qrata(fungsi tampungan)

8. Interpolasi antara (5) - Qrata (fungsi tampungan) - j(fungsi tampungan)

0 50 100 150 200 250 300 3500

1

2

3

4

5

6

RATING CURVE

Q = C *L * H (m3/dt)

Tin

ggi M

uk

a A

ir, H

(m

)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 250

100

200

300

400

500

600

700

800

900

1000

Hidrograf Inflow dan Outflow diatas Spillway

inflow outflowPeriode (jam)

Debit

, Q

(m

3/d

t)

SOAL 7

Diketahui : Jumlah Kepala Keluarga ( KK ) = 1945 KKJumlah Orang Tiap KK = 6 orangKebutuhan Air = 190 lt/hari/orang

Maka :Kebutuhan Air dalam 1 hari = 1680 * 6 * 120 lt/hari

= 2217300 lt/hari = 92387.5 lt/jam

= 2217.3

Tabel 5.7. Perhitungan Kapasitas Tandon AirWaktu Prosentase Outflow Inflow Kelebihan Kekurangan Volume

( jam ) (%)

[1] [2] [3] [4] [5] [6] [7]

1 3.85 85.36605 130.05388 44.68783375 penuh2 2.45 54.32385 130.05388 75.73003375 penuh3 5.75 127.49475 130.05388 2.55913375 penuh4 6.55 145.23315 130.05388 15.17926625 15.1792665 4.50 99.7785 130.05388 30.27538375 penuh6 3.80 84.2574 130.05388 45.79648375 penuh7 2.60 57.6498 130.05388 72.40408375 penuh8 5.00 110.865 130.05388 19.18888375 penuh9 3.50 77.6055 130.05388 52.44838375 penuh

10 2.90 64.3017 130.05388 65.75218375 penuh11 2.25 49.88925 130.05388 80.16463375 penuh12 4.54 100.66542 130.05388 29.38846375 penuh13 4.45 98.66985 130.05388 31.38403375 penuh14 3.58 79.37934 130.05388 50.67454375 penuh15 3.50 77.6055 130.05388 52.44838375 penuh16 5.70 126.3861 130.05388 3.66778375 penuh17 4.53 100.44369 130.05388 29.61019375 penuh18 4.90 108.6477 130.05388 21.40618375 penuh19 4.30 95.3439 130.05388 34.70998375 penuh20 3.65 80.93145 130.05388 49.12243375 penuh21 3.50 77.6055 130.05388 52.44838375 penuh22 5.15 114.19095 130.05388 15.86293375 penuh23 5.60 124.1688 130.05388 5.88508375 penuh24 4.00 88.692 130.05388 41.36188375 penuh

penuh

Outfow rata-rata= 92.8956313 Kapasitas Tandon = 15.17926625Sumber: Hasil perhitungan

Keterangan :1. Nomor 5. Jika [4] - [3] > 0, jika tidak = 02. Diketahui data 6. Jika [4] - [3] < 0, jika tidak = 03. [2] x keb.air dlm 1 hari 7. Jika [4] - [3] < 0, jika tidak tampungan penuh

m3

( m3 ) ( m3 ) ( m3 ) ( m3 ) ( m3 )

m3

lt/hari/orang