Table 18 Simulation results for TSys-4 (40-unit system)
Power output (MW) | Compared algorithms | Proposed algorithms | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
MTVPSO | THS | DEPSO | DPD | MPSO | IABC | DHS | aDE | aPSO | haDEPSO | |
1 | 110.7998 | 114 | 110.802 | 111.7629 | 111.3021 | 110.8067 | 110.7998 | 110.8069 | 110.7998 | 110.7993 |
2 | 110.7998 | 113.3808 | 110.801 | 111.6926 | 110.8937 | 110.8163 | 110.7998 | 110.7937 | 110.8001 | 111.1416 |
3 | 97.3999 | 97.4102 | 97.400 | 97.40940 | 97.4024 | 97.4000 | 97.3999 | 97.3998 | 97.401 | 97.4122 |
4 | 179.7331 | 179.7357 | 179.733 | 179.7721 | 179.7417 | 179.7330 | 179.7331 | 179.7332 | 179.7327 | 179.7443 |
5 | 87.7999 | 96.9973 | 87.800 | 88.30690 | 96.2717 | 87.8133 | 87.7999 | 87.9566 | 87.8019 | 88.1519 |
6 | 140.0000 | 140.0000 | 140.000 | 139.9833 | 140.0000 | 139.9999 | 140.0000 | 140.0000 | 139.9977 | 139.9957 |
7 | 259.5997 | 259.6047 | 259.600 | 259.7218 | 259.5998 | 259.5996 | 259.5997 | 259.5996 | 259.5986 | 259.6064 |
8 | 284.5997 | 284.6041 | 284.600 | 284.7273 | 284.6047 | 284.6008 | 284.5997 | 284.5996 | 284.6058 | 284.6046 |
9 | 284.5997 | 284.6018 | 284.600 | 284.6157 | 284.6048 | 284.5997 | 284.5997 | 284.5996 | 284.6004 | 284.6149 |
10 | 130.0000 | 130 | 130.000 | 130.0583 | 130.0020 | 130.0000 | 130.0000 | 130.0000 | 130.0000 | 130.0000 |
11 | 94.0000 | 168.8034 | 94.000 | 168.7990 | 168.7993 | 168.7998 | 94.0000 | 168.7998 | 94.0007 | 168.8029 |
12 | 94.0000 | 214.7619 | 94.000 | 168.7894 | 94.0019 | 94.0000 | 94.0000 | 94.0000 | 94.0000 | 94.0000 |
13 | 214.7598 | 394.2794 | 214.760 | 214.7593 | 214.7600 | 125.0000 | 214.7598 | 214.7597 | 214.7579 | 214.7593 |
14 | 394.2794 | 304.5215 | 394.279 | 304.5391 | 394.2799 | 400.0000 | 394.2794 | 394.2795 | 394.2796 | 394.2717 |
15 | 394.2794 | 304.5209 | 394.279 | 394.2707 | 394.2789 | 394.2791 | 394.2794 | 304.5197 | 394.2784 | 304.5205 |
16 | 394.2794 | 489.2841 | 394.279 | 394.2713 | 304.5202 | 394.2793 | 394.2794 | 394.2793 | 394.2799 | 394.2835 |
17 | 489.2794 | 489.2891 | 489.279 | 489.2894 | 489.2798 | 489.2796 | 489.2794 | 489.2796 | 489.2787 | 489.2911 |
18 | 489.2794 | 511.2813 | 489.279 | 489.3177 | 489.2823 | 489.2794 | 489.2794 | 489.2792 | 489.279 | 489.2878 |
19 | 511.2794 | 511.2790 | 511.279 | 511.2724 | 511.2796 | 511.2792 | 511.2794 | 511.2794 | 511.2785 | 511.2976 |
20 | 511.2794 | 523.2838 | 511.279 | 511.2800 | 511.2823 | 511.2793 | 511.2794 | 511.2794 | 511.2793 | 511.2792 |
21 | 523.2794 | 523.2819 | 523.279 | 523.3291 | 523.2799 | 523.2798 | 523.2794 | 523.2794 | 523.2787 | 523.2957 |
22 | 523.2794 | 523.2779 | 523.279 | 523.2992 | 523.2794 | 523.2793 | 523.2794 | 523.2794 | 523.2793 | 523.2848 |
23 | 523.2794 | 523.2801 | 523.279 | 523.3545 | 523.2815 | 523.2793 | 523.2794 | 523.2794 | 523.2798 | 523.2857 |
24 | 523.2794 | 523.2824 | 523.279 | 523.2793 | 523.2800 | 523.2793 | 523.2794 | 523.2794 | 523.2793 | 523.2979 |
25 | 523.2794 | 523.2799 | 523.279 | 523.3890 | 523.2799 | 523.2793 | 523.2794 | 523.2794 | 523.2783 | 523.2799 |
26 | 523.2794 | 523.2799 | 523.279 | 523.2776 | 523.2812 | 523.2793 | 523.2794 | 523.2794 | 523.2787 | 523.291 |
27 | 10.0000 | 10 | 10.000 | 10.00000 | 10.0010 | 10.0000 | 10.0000 | 10.0000 | 10.0002 | 10.0064 |
28 | 10.0000 | 10 | 10.000 | 10.00000 | 10.0002 | 10.0000 | 10.0000 | 10.0000 | 10.0010 | 10.0018 |
29 | 10.0000 | 10 | 10.000 | 10.00000 | 10.0021 | 10.0000 | 10.0000 | 10.0000 | 10.0011 | 10.0000 |
30 | 87.7999 | 96.99 | 87.800 | 88.72800 | 88.0447 | 91.4006 | 87.7999 | 97.0000 | 87.8000 | 96.2132 |
31 | 190.0000 | 190 | 190.000 | 189.9811 | 189.9997 | 189.9999 | 190.0000 | 190.0000 | 189.9996 | 189.9997 |
32 | 190.0000 | 190 | 190.000 | 189.9982 | 189.9996 | 189.9999 | 190.0000 | 190.0000 | 189.9979 | 189.9997 |
33 | 190.0000 | 190 | 190.000 | 189.9795 | 189.9999 | 190.0000 | 190.0000 | 190.0000 | 189.9981 | 189.9981 |
34 | 164.7998 | 164.8838 | 164.800 | 164.8962 | 164.8005 | 164.7997 | 164.7998 | 164.7997 | 199.8696 | 164.9126 |
35 | 200.0000 | 200 | 194.395 | 165.0916 | 199.9950 | 199.9978 | 200.0000 | 200.0000 | 194.5334 | 199.9941 |
36 | 194.3978 | 200 | 200.000 | 165.2998 | 199.9953 | 199.9999 | 194.3978 | 200.0000 | 164.8003 | 200.0000 |
37 | 110.0000 | 110 | 110.000 | 109.9827 | 109.9987 | 110.0000 | 110.0000 | 110.0000 | 109.9992 | 109.9988 |
38 | 110.0000 | 110 | 110.000 | 109.9824 | 109.9997 | 109.9998 | 110.0000 | 110.0000 | 109.9984 | 109.9994 |
39 | 110.0000 | 110 | 110.000 | 109.9634 | 109.9990 | 110.0000 | 110.0000 | 110.0000 | 109.9974 | 109.9974 |
40 | 511.2794 | 511.2795 | 511.279 | 511.5279 | 511.2957 | 511.2793 | 511.2794 | 511.2793 | 511.2797 | 511.2800 |
Total power (MW) | 10,500 | 10,500 | 10,500 | 10,500 | 10,500 | 10,500 | 10,500 | 10,500 | 10,500 | 10,500 |
Min cost ($/h) | 121,403.5355 | 121,467.44 | 121,412.56 | 121,410.5355 | 121,379.43 | 121,491.2751 | 121,403.5355 | 121,405.7384 | 121,404.5378 | 121,403.5454 |
Mean cost ($/h) | 121,410.5967 | 121,524.26 | 121,419.31 | 121,412.5729 | 121,384.43 | 121,539.4175 | 121,410.5967 | 121,411.5829 | 121,410.5977 | 121,410.4658 |
Max cost ($/h) | 121,417.2274 | 121,598.65 | 121,468.25 | 121,441.9027 | 121,391.07 | 121,582.3865 | 121,417.2274 | 121,415.2314 | 121,416.3319 | 121,413.9827 |
Std. of cost ($/h) | 0.001714 | 36.7026 | 0.00584 | 0.437608 | 2.3685 | 0.00548 | 4.80 | 0.0037608 | 0.001754 | 0.001473 |
CPU mean time (s) | 11.32101 | 13.5846 | 7.895 | 21.76485 | 5.43 | 1.950 | 1.32 | 11.12101 | 12.78485 | 11.02356 |