Table 6: Optimal solutions for case 3 on IEEE 57 system.
| Control variables |
Case 3 |
| IHDE |
DE |
PSO |
|
P1(MW) |
142.6683 |
143.2926 |
148.6137 |
|
P2(MW) |
88.85812 |
88.70183 |
91.71634 |
|
P3(MW) |
45.05665 |
45.06715 |
40.88899 |
|
P6(MW) |
72.40753 |
68.82424 |
63.90829 |
|
P8(MW) |
460.4850 |
459.7235 |
468.2037 |
|
P9(MW) |
96.94107 |
98.92860 |
100.0000 |
|
P12(MW) |
359.3236 |
361.7904 |
353.3791 |
|
V1(p.u.) |
1.064728 |
1.024065 |
1.046639 |
|
V2(p.u.) |
1.062703 |
1.021103 |
1.044469 |
|
V3(p.u.) |
1.056291 |
1.012882 |
1.040994 |
|
V6(p.u.) |
1.061397 |
1.026209 |
1.060628 |
|
V8(p.u.) |
1.072778 |
1.041820 |
1.072790 |
|
V9(p.u.) |
1.047832 |
1.011943 |
1.038355 |
|
V12(p.u.) |
1.050065 |
1.008183 |
1.031182 |
|
T4-18(p.u.) |
1.035900 |
1.035200 |
0.956400 |
|
T4-18(p.u.) |
0.920300 |
0.910300 |
1.046200 |
|
T21-20(p.u.) |
1.016100 |
1.021000 |
1.051500 |
|
T24-25(p.u.) |
0.979300 |
1.099900 |
1.099300 |
|
T24-25(p.u.) |
1.054800 |
0.982600 |
0.957100 |
|
T24-26(p.u.) |
1.026000 |
1.033100 |
1.044100 |
|
T7-29(p.u.) |
0.996500 |
0.965000 |
1.023800 |
|
T34-32(p.u.) |
0.972800 |
0.972400 |
0.980600 |
|
T11-41(p.u.) |
0.904800 |
0.905200 |
0.952500 |
|
T15-45 (p.u.) |
0.981100 |
0.941700 |
0.975100 |
|
T14-46(p.u.) |
0.965900 |
0.923900 |
0.970800 |
|
T10-51(p.u.) |
0.975700 |
0.938600 |
0.978900 |
|
T13-49(p.u.) |
0.929600 |
0.900200 |
0.935900 |
|
T11-43(p.u.) |
0.973100 |
0.930800 |
0.972200 |
|
T40-56(p.u.) |
1.018300 |
1.020200 |
1.016700 |
|
T39-57(p.u.) |
0.956700 |
0.971500 |
0.990800 |
|
T9-55(p.u.) |
0.993100 |
0.972600 |
0.993300 |
|
QC18(p.u.) |
0.002000 |
0.129400 |
0.093600 |
|
QC25(p.u.) |
0.139900 |
0.163200 |
0.092400 |
|
QC53(p.u.) |
0.125600 |
0.140200 |
0.132600 |
| Fuel cost ($/h) |
41667.99 |
41699.16 |
41702.78 |