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TUGAS OOSTL JANUAR ADI PERDANA 2208 100 150

Line Data

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Karakteristik Input-Output

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Listing Programbasemva = 100; accuracy = 0.0001; maxiter = 1000;

% Bus Bus Voltage Angle ---Load---- -----Generator-----Static Mvar

% No code Mag. Degree MW Mvar MW Mvar Qmin Qmax Qc/-Ql

busdata=[1 0 1.0637 -0.1572 0 0 0 0 0 0 0

2 0 1.0598 -0.1018 0 0 0 0 0 0 0

3 0 1.0482 -0.1567 322 2.4 0 0 0 0 0

4 0 1.0345 -0.1744 500 184 0 0 0 0 0

5 0 1.0442 -0.1556 0 0 0 0 0 0 0

6 0 1.0489 -0.1431 0 0 0 0 0 0 0

7 0 1.0346 -0.1841 233.8 84 0 0 0 0 0

8 0 1.0324 -0.1935 522 176 0 0 0 0 0

9 0 1.0552 -0.1922 0 0 0 0 0 0 0

10 0 1.0618 -0.0941 0 0 0 0 0 0 0

11 0 1.0559 -0.1107 0 0 0 0 0 0 0

12 0 1.0405 -0.1098 7.5 88 0 0 0 0 0

13 0 1.0554 -0.1069 0 0 0 0 0 0 0

14 0 1.0449 -0.1370 0 0 0 0 0 0 0

15 0 1.0362 -0.1395 320 153 0 0 0 0 0

16 0 1.0494 -0.1099 329 32.3 0 0 0 0 0

17 0 1.0504 -0.1320 0 0 0 0 0 0 0

18 0 1.0479 -0.1497 158 30 0 0 0 0 0

19 0 1.0878 -0.0134 0 0 0 0 0 0 0

20 0 1.0265 -0.0328 628 103 0 0 0 0 0

21 0 1.0397 -0.0622 274 115 0 0 0 0 0

22 0 1.0514 0.0269 0 0 0 0 0 0 0

23 0 1.0436 0.0232 247.5 84.6 0 0 0 0 0

24 0 1.0524 -0.1074 308.6 92 0 0 0 0 0

25 0 1.0722 -0.0773 224 47.2 0 0 0 0 0

26 0 1.0672 -0.0997 139 17 0 0 0 0 0

27 0 1.0526 -0.1370 281 75.5 0 0 0 0 028 0 1.0670 -0.0330 206 27.6 0 0 0 0 0

29 0 1.0685 0.0199 283.5 26.9 0 0 0 0 0

30 2 1.0433 -0.0529 0 0 250 0 -249.45 249.45 0

31 1 1.0500 0.0 9.2 4.6 0 0 -463.26 463.26 0

32 2 1.0500 0.0576 0 0 650 0 -570.16 570.16 0

33 2 1.0500 0.0823 0 0 632 0 -534.53 534.53 0

34 2 1.0500 0.0632 0 0 508 0 -463.26 463.26 0

35 2 1.0500 0.1260 0 0 650 0 -534.53 534.53 0

36 2 1.0500 0.1842 0 0 560 0 -534.53 534.53 0

37 2 1.0500 0.0522 0 0 540 0 -498.89 498.89 0

38 2 1.0500 0.1549 0 0 830 0 -641.44 641.44 0

39 2 1.0500 -0.1902 1104 250 1000 0 -855.25 855.25 0 ];

% Line code

% Bus bus R X 1/2 B = 1 for lines

% nl nr p.u. p.u. p.u. >1 or

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6 11 0.0007 0.0082 0.1389 1

7 8 0.0004 0.0046 0.0780 1

8 9 0.0023 0.0363 0.3804 1

9 39 0.0010 0.0250 1.2000 1

10 11 0.0004 0.0043 0.0729 1

10 13 0.0004 0.0043 0.0279 1

13 14 0.0009 0.0101 0.1723 114 15 0.0018 0.0217 0.3660 1

15 16 0.0009 0.0094 0.1710 1

16 17 0.0007 0.0089 0.1342 1

16 19 0.0016 0.0195 0.3040 1

16 21 0.0008 0.0135 0.2548 1

16 24 0.0003 0.0059 0.0680 1

17 18 0.0007 0.0082 0.1319 1

17 27 0.0013 0.0173 0.3216 1

21 22 0.0008 0.0140 0.2565 1

22 23 0.0006 0.0096 0.1846 1

23 24 0.0022 0.0350 0.3610 1

25 26 0.0302 0.0323 0.5130 1

26 27 0.0014 0.0147 0.2396 1

26 28 0.0043 0.0474 0.7802 1

26 29 0.0057 0.0625 1.0290 1

28 29 0.0014 0.0151 0.2490 1

12 11 0.0016 0.0435 0.0000 1.006

12 13 0.0016 0.0435 0.0000 1.006

16 19 0.0016 0.0195 0.3040 1

6 31 0.0000 0.0250 0.0000 1.070

10 32 0.0000 0.0200 0.0000 1.070

19 33 0.0007 0.0142 0.0000 1.070

20 34 0.0009 0.0180 0.0000 1.009

22 35 0.0000 0.0143 0.0000 1.025

23 36 0.0005 0.0272 0.0000 1

25 37 0.0006 0.0232 0.0000 1.025

2 30 0.0000 0.0181 0.0000 1.025

29 38 0.0008 0.0156 0.0000 1.025

19 20 0.0007 0.0138 0.0000 1.060 ];

cost = [2.9134 6.9 6.9

5.9783 3.7 3.7

7.3250 2.8 2.8

7.3089 4.7 4.7

5.7801 2.8 2.8

7.4560 3.7 3.7

6.4704 4.8 4.8

6.1246 3.6 3.69.4772 3.7 3.7

11.2828 3.9 3.9];

mwlimits =[0 402.5

0 747.5

0 920

0 862.5

0 747.5

0 862.5

0 862.5

0 862.5

0 1035

0 1380];

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TUGAS OOSTL JANUAR ADI PERDANA 2208 100 150

lfybus % Forms the bus admittance matrix

lfnewton % Power flow solution by Newton-Raphson method

busout % Prints the power flow solution on the screen

bloss % Obtains the loss formula coefficients

gencost % Computes the total generation cost $/h

dispatch % Obtains optimum dispatch of generation

% dpslack is the difference (absolute value) between% the scheduled slack generation determined from the

% coordination equation, and the slack generation,

% obtained from the power flow solution.

lineflow

while dpslack>3 %Repeat till dpslack is within tolerance

lfnewton % New power flow solution

bloss % Loss coefficients are updated

dispatch % Optimum dispatch of gen. with new B-coefficients

end

busout % Prints the final power flow solution

gencost % Generation cost with optimum scheduling of gen.

Hasil RunningPower Flow Solution by Newton-Raphson Method

Maximum Power Mismatch = 1.01978e-005

No. of Iterations = 4

Bus Voltage Angle ------Load------ ---Generation--- Injected

No. Mag. Degree MW Mvar MW Mvar Mvar

1 1.089 -6.946 0.000 0.000 0.000 0.000 0.000

2 1.091 -4.437 0.000 0.000 0.000 0.000 0.000

3 1.093 -7.298 322.000 2.400 0.000 0.000 0.000

4 1.082 -8.273 500.000 184.000 0.000 0.000 0.000

5 1.086 -7.431 0.000 0.000 0.000 0.000 0.000

6 1.088 -6.866 0.000 0.000 0.000 0.000 0.000

7 1.079 -8.723 233.800 84.000 0.000 0.000 0.000

8 1.077 -9.139 522.000 176.000 0.000 0.000 0.000

9 1.086 -8.790 0.000 0.000 0.000 0.000 0.000

10 1.097 -4.705 0.000 0.000 0.000 0.000 0.000

11 1.093 -5.442 0.000 0.000 0.000 0.000 0.000

12 1.082 -5.408 7.500 88.000 0.000 0.000 0.000

13 1.094 -5.284 0.000 0.000 0.000 0.000 0.000

14 1.090 -6.626 0.000 0.000 0.000 0.000 0.000

15 1.082 -6.714 320.000 153.000 0.000 0.000 0.000

16 1.090 -5.329 329.000 32.300 0.000 0.000 0.000

17 1.099 -6.390 0.000 0.000 0.000 0.000 0.000

18 1.097 -7.119 158.000 30.000 0.000 0.000 0.000

19 1.104 -3.022 0.000 0.000 0.000 0.000 0.000

20 1.037 -3.908 628.000 103.000 0.000 0.000 0.000

21 1.075 -3.082 274.000 115.000 0.000 0.000 0.000

22 1.073 1.170 0.000 0.000 0.000 0.000 0.000

23 1.066 0.997 247.500 84.600 0.000 0.000 0.000

24 1.083 -5.192 308.600 92.000 0.000 0.000 0.000

25 1.105 -3.212 224.000 47.200 0.000 0.000 0.000

26 1.126 -5.349 139.000 17.000 0.000 0.000 0.000

27 1.111 -6.847 281.000 75.500 0.000 0.000 0.000

28 1.117 -2.227 206.000 27.600 0.000 0.000 0.00029 1.105 0.295 283.500 26.900 0.000 0.000 0.000

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30 1.043 -2.102 0.000 0.000 250.000 -116.723 0.000

31 1.050 0.000 9.200 4.600 519.945 172.793 0.000

32 1.050 2.235 0.000 0.000 650.000 171.883 0.000

33 1.050 1.682 0.000 0.000 632.000 130.336 0.000

34 1.050 0.892 0.000 0.000 508.000 123.912 0.000

35 1.050 6.022 0.000 0.000 650.000 52.226 0.000

36 1.050 8.829 0.000 0.000 560.000 -32.132 0.00037 1.050 3.175 0.000 0.000 540.000 -111.960 0.000

38 1.050 6.937 0.000 0.000 830.000 -184.643 0.000

39 1.050 -8.442 1104.000 250.000 1000.000 -274.598 0.000

Total 6097.100 1593.100 6139.945 -68.904 0.000

B =

1.0e-003 *

0.1689 0.0091 0.0891 0.1219 0.1186 0.1414 0.1536 0.1579

0.1850 0.1482

0.0091 0.0005 0.0052 0.0071 0.0069 0.0080 0.0085 0.0087

0.0101 0.0083

0.0891 0.0052 0.0688 0.0940 0.0947 0.0959 0.0928 0.0921

0.1058 0.0932

0.1219 0.0071 0.0940 0.1283 0.1293 0.1311 0.1269 0.1260

0.1447 0.1275

0.1186 0.0069 0.0947 0.1293 0.1305 0.1307 0.1252 0.1239

0.1420 0.1263

0.1414 0.0080 0.0959 0.1311 0.1307 0.1392 0.1401 0.1408

0.1629 0.1388

0.1536 0.0085 0.0928 0.1269 0.1252 0.1401 0.1460 0.1484

0.1726 0.1429

0.1579 0.0087 0.0921 0.1260 0.1239 0.1408 0.1484 0.1512

0.1763 0.1447

0.1850 0.0101 0.1058 0.1447 0.1420 0.1629 0.1726 0.1763

0.2057 0.1680

0.1482 0.0083 0.0932 0.1275 0.1263 0.1388 0.1429 0.1447

0.1680 0.1405

B0 =

-0.1144 -0.0058 -0.0359 -0.0494 -0.0445 -0.0719 -0.0908 -0.0970

-0.1160 -0.0836

B00 =

26.1401

Total system loss = 2218.22 MW

Total generation cost = 15805548.68 $/h

Incremental cost of delivered power (system lambda) = 7268.490355 $/MWh

Optimal Dispatch of Generation:

1.0e+003 *

0.4025

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0.7475

0.9200

0.8058

0.7475

0.8625

0.8198

0.86251.0350

1.0025

Total system loss = 2108.49 MW

Absolute value of the slack bus real power mismatch, dpslack = 2.2756 pu

Power Flow Solution by Newton-Raphson Method

Maximum Power Mismatch = 1.01978e-005

No. of Iterations = 4

Bus Voltage Angle ------Load------ ---Generation--- Injected

No. Mag. Degree MW Mvar MW Mvar Mvar

1 1.089 -6.946 0.000 0.000 0.000 0.000 0.000

2 1.091 -4.437 0.000 0.000 0.000 0.000 0.000

3 1.093 -7.298 322.000 2.400 0.000 0.000 0.000

4 1.082 -8.273 500.000 184.000 0.000 0.000 0.000

5 1.086 -7.431 0.000 0.000 0.000 0.000 0.000

6 1.088 -6.866 0.000 0.000 0.000 0.000 0.000

7 1.079 -8.723 233.800 84.000 0.000 0.000 0.000

8 1.077 -9.139 522.000 176.000 0.000 0.000 0.000

9 1.086 -8.790 0.000 0.000 0.000 0.000 0.000

10 1.097 -4.705 0.000 0.000 0.000 0.000 0.000

11 1.093 -5.442 0.000 0.000 0.000 0.000 0.000

12 1.082 -5.408 7.500 88.000 0.000 0.000 0.000

13 1.094 -5.284 0.000 0.000 0.000 0.000 0.000

14 1.090 -6.626 0.000 0.000 0.000 0.000 0.000

15 1.082 -6.714 320.000 153.000 0.000 0.000 0.000

16 1.090 -5.329 329.000 32.300 0.000 0.000 0.000

17 1.099 -6.390 0.000 0.000 0.000 0.000 0.000

18 1.097 -7.119 158.000 30.000 0.000 0.000 0.000

19 1.104 -3.022 0.000 0.000 0.000 0.000 0.000

20 1.037 -3.908 628.000 103.000 0.000 0.000 0.000

21 1.075 -3.082 274.000 115.000 0.000 0.000 0.000

22 1.073 1.170 0.000 0.000 0.000 0.000 0.000

23 1.066 0.997 247.500 84.600 0.000 0.000 0.000

24 1.083 -5.192 308.600 92.000 0.000 0.000 0.000

25 1.105 -3.212 224.000 47.200 0.000 0.000 0.00026 1.126 -5.349 139.000 17.000 0.000 0.000 0.000

27 1.111 -6.847 281.000 75.500 0.000 0.000 0.000

28 1.117 -2.227 206.000 27.600 0.000 0.000 0.000

29 1.105 0.295 283.500 26.900 0.000 0.000 0.000

30 1.043 -2.102 0.000 0.000 250.000 -116.723 0.000

31 1.050 0.000 9.200 4.600 519.945 172.793 0.000

32 1.050 2.235 0.000 0.000 650.000 171.883 0.000

33 1.050 1.682 0.000 0.000 632.000 130.336 0.000

34 1.050 0.892 0.000 0.000 508.000 123.912 0.000

35 1.050 6.022 0.000 0.000 650.000 52.226 0.000

36 1.050 8.829 0.000 0.000 560.000 -32.132 0.000

37 1.050 3.175 0.000 0.000 540.000 -111.960 0.000

38 1.050 6.937 0.000 0.000 830.000 -184.643 0.000

39 1.050 -8.442 1104.000 250.000 1000.000 -274.598 0.000

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Total 6097.100 1593.100 6139.945 -68.904 0.000

Total generation cost = 26742949.24 $/h

Jadi Pembebanan ekonomisnyaIncremental cost of delivered power (system lambda) = 7268.490355 $/MWh

Optimal Dispatch of Generation:

1.0e+003 *

0.4025

0.7475

0.9200

0.8058

0.7475

0.86250.8198

0.8625

1.0350

1.0025

Total system loss = 2108.49 MW

Total generation cost = 26742949.24 $/h

Rugirugi load flow

Hasil running Load FlowLine Flow and Losses

Total loss 42.845 -1661.998

Perbandingan Economic Dispatch Matlab dan PowerGen

Economic dispatch dengan MatlabIncremental cost of delivered power (system lambda) = 7268.490355 $/MWh

Optimal Dispatch of Generation:

1.0e+003 *

0.4025

0.7475

0.9200

0.8058

0.7475

0.8625

0.8198

0.8625

1.0350

1.0025

Total system loss = 2108.49 MW

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Total generation cost = 26742949.24 $/h

Economic dispatch dengan PowerGengenerator output limit inc cost penalty fact operating cost

mw $/mwhr $/hr

--------- ------ ----- -------- ------------ --------------UNIT1 402.5 max 5561.4000 0.9148 1120623.29

UNIT2 747.5 max 5535.2000 0.9959 2070169.85

UNIT3 920.0 max 5154.8000 0.9790 2372503.33

UNIT4 806.4 7584.7600 0.9706 3060037.19

UNIT5 747.5 max 4188.8000 0.9749 1566616.28

UNIT6 862.5 max 6386.2000 0.9510 2755651.83

UNIT7 819.8 7875.3399 0.9348 3230264.55

UNIT8 862.5 max 6213.6000 0.9297 2681173.62

UNIT9 1035.0 max 7455.6000 0.9172 3860145.48

UNIT10 1002.7 7824.8385 0.9408 3924888.35

--------- ------ --------------

totals 8206.4 26642073.78

lambda = 7361.9045

total load = 6097.1 total losses = 2109.3

Pada hasil Operating cost, hasil dari matlab lebih murah sebesar 100875.46 $/hrTrial Method agar losses kecilgenerator output limit inc cost penalty fact operating cost

mw $/mwhr $/hr

--------- ------ ----- -------- ------------ --------------

UNIT1 402.5 max 5561.4000 0.9152 1120623.29UNIT2 694.1 5140.1690 0.9957 1785230.53

UNIT3 920.0 max 5154.8000 0.9784 2372503.33

UNIT4 560.5 5273.6415 0.9705 1479330.30

UNIT5 747.5 max 4188.8000 0.9750 1566616.28

UNIT6 726.6 5380.4815 0.9512 1956059.33

UNIT7 862.5 max 8284.8000 0.9347 3574896.47

UNIT8 862.5 max 6213.6000 0.9295 2681173.62

UNIT9 1035.0 max 7662.7000 0.9164 3967371.48

UNIT10 1380.0 max 10767.9000 0.9408 7432553.28

--------- ------ --------------

totals 8191.2 27936357.91

lambda = 5118.1577

total load = 6097.1 total losses = 2094.1

Persamaan koordinasi

H1 = 2.9134 + 6.9 P1 + 6.9 P12

H2 = 5.9783 + 3.7 P2 + 3.7 P22

H3 = 7.3250 + 2.8 P3 + 2.8 P32

H4 = 7.3089 + 4.7 P4 + 4.7 P42

H5 = 5.7801 + 2.8 P5 + 2.8 P52

H6 = 7.4560 + 3.7 P6 + 3.7 P62

H7 = 6.4704 + 4.8 P7 + 4.8 P72

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H8 = 6.1246 + 3.6 P8 + 3.6 P82

H9 = 9.4772 + 3.7 P9 + 3.7 P92

H10 =11.2828 + 3.9 P10 + 3.9 P102