Table 17 Simulation results for TSys-3 (15-unit system)
Power output (MW) | Compared algorithms | Proposed algorithms | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
PSO | GA | MTVPSO | EHM | BCO | NCS | MPSO-TVAC | θ-PSO | DEPSO | DPD | aDE | aPSO | haDEPSO | |
1 | 455.00 | 415.3108 | 454.9812 | 455 | 452.9151 | 455.00 | 455.00 | 455 | 455 | 454.9999 | 454.8834 | 454.8823 | 454.9813 |
2 | 380.00 | 359.7206 | 455 | 380 | 358.8547 | 380.00 | 380.00 | 380 | 420 | 454.9999 | 455.0000 | 455.0000 | 455.0000 |
3 | 130.00 | 104.4250 | 130 | 130 | 127.6452 | 130.00 | 130.00 | 130 | 130 | 130.0000 | 130.0000 | 130.0000 | 130.0000 |
4 | 130.00 | 74.9853 | 130 | 130 | 128.4156 | 130.00 | 130.00 | 130 | 130 | 130.0000 | 130.0000 | 130.0000 | 130.0000 |
5 | 154.42 | 380.2844 | 235.5844 | 170 | 276.0158 | 170.00 | 170.00 | 170 | 270 | 234.2005 | 239.1899 | 240.9334 | 239.4334 |
6 | 460.00 | 426.7902 | 460 | 460 | 429.9371 | 460.00 | 459.99 | 460 | 460 | 460.0000 | 460.0000 | 460.0000 | 460.0000 |
7 | 430.00 | 341.3164 | 465 | 430 | 437.8152 | 430.00 | 430.00 | 430 | 430 | 464.9999 | 462.0000 | 460.0000 | 460.0000 |
8 | 60.00 | 124.7867 | 60 | 90.14947 | 62.8458 | 60.00 | 72.60 | 75.0139 | 60 | 60.00000 | 61.0000 | 60.0000 | 60.0000 |
9 | 74.27 | 133.1445 | 25 | 37.75777 | 59.5343 | 71.05 | 58.32 | 55.8293 | 25 | 25.00000 | 24.0000 | 26.0000 | 25.0000 |
10 | 160.00 | 89.2567 | 28.9867 | 160 | 96.7215 | 159.85 | 159.73 | 160 | 62 | 30.99387 | 28.6810 | 28.9997 | 28.8757 |
11 | 80.00 | 60.0572 | 76.8357 | 80 | 75.2118 | 80.00 | 80.00 | 80 | 80 | 76.70138 | 75.9970 | 76.1987 | 75.1865 |
12 | 79.60 | 49.9998 | 80 | 80 | 78.4522 | 80.00 | 80.00 | 80 | 80 | 79.99999 | 80.0000 | 80.0000 | 80.0000 |
13 | 25.00 | 38.7713 | 25 | 25 | 35.5118 | 25 | 25.01 | 25.0012 | 25 | 25.00000 | 26.0000 | 25.0000 | 25.0000 |
14 | 27.59 | 41.9425 | 15 | 15 | 19.1549 | 15 | 15.00 | 15.0000 | 15 | 15.00000 | 15.0000 | 15.0000 | 15.0000 |
15 | 15.00 | 22.6445 | 15 | 15 | 21.0143 | 15 | 15.00 | 15.0181 | 15 | 15.00000 | 15.0000 | 15.0000 | 15.0000 |
Total power (MW) | 2660.88 | 2630.0 | 2656.3882 | 2657.90724 | 2660.0483 | 2660.9 | 2660.66 | 2660.8625 | 2657.96 | 2656.89544 | 2656.7513 | 2657.0141 | 2653.4769 |
Power loss (MW) | 30.88 | 38.2782 | 26.3882 | 27.90724 | 29.4073 | 30.908 | 30.66 | 30.8699 | 27.976 | 26.89544 | 26.7513 | 27.0141 | 23.4769 |
Power balance (MW) | 0.00000 | 0.1218 | 0.00000 | 0.0 | 0.641 | 0.0 | 0.00000 | − 0.0074 | 0.010 | 0.00000 | 0.00000 | 0.00000 | 0.00000 |
Min cost ($/h) | 32,731.96 | 33,113 | 32,542.7320 | 32,672.9595 | 32,714.265 | 32,708 | 32,704.47 | 32,706.6048 | 32,588.81 | 32,548.5857 | 32,542.7820 | 32,542.4512 | 32,542.1452 |
Mean cost ($/h) | 33,039.00 | 33,254 | 32,550.9885 | 32,699.2548 | 32,725.251 | 32,854 | 32,705.00 | 32,709.3196 | 32,591.49 | 32,556.6793 | 32,550.9055 | 32,550.5421 | 32,550.7457 |
Max cost ($/h) | 33,331.00 | 33,285 | 32,562.4861 | 32,708.8547 | 32,755.369 | 32,975 | 32,728.99 | 32,739.4865 | 32,588.99 | 32,564.4051 | 32,562.4814 | 32,559.2411 | 32,558.2584 |
Std. of cost ($/h) | 2.8475 | 1.598 | 2.04619 | 3.5841 | 2.4584 | 6.2541 | 3.51 | 7.3140 | 4.02 | 2.095632 | 1.85214 | 1.97548 | 1.04350 |
CPU mean time (s) | 26.59 | 49.31 | 0.190 | 0.368 | 12.42 | 12.79 | 12.78 | 11.7380 | 1.96 | 1.98594 | 0.175 | 0.172 | 0.181 |