Research Article

A Memetic Approach for Improving Minimum Cost of Economic Load Dispatch Problems

Table 1

Minimum costs of ELD problem from three different algorithms.

NumberGeneration (MW)Cost ($)
HSFAHMBOHSFAHMBO

1110.8312 110.8099 110.8018925.6191 925.2642 925.1296
2110.8234 110.8059 110.8000925.4891 925.1976 925.0998
397.3999 97.4023 97.39991190.5485 1190.5949 1190.5485
4179.7331 179.7332 179.73312143.5503 2143.5524 2143.5503
588.9932 92.7070 87.7998726.2998 787.1211 706.5003
6140.0000 140.0000 140.00001596.4643 1596.4643 1596.4643
7259.6006 259.6004 259.59972612.9019 2612.8983 2612.8846
8284.6143 284.6004 284.59972780.1031 2779.8502 2779.8368
9284.5997 284.6004 284.59972798.2312 2798.2440 2798.2303
10130.0000 130.0028 130.00002502.0650 2502.1290 2502.0650
11168.7998 168.8008 94.00002959.4585 2959.4811 1893.3054
12168.7998 168.8008 94.00002977.4549 2977.4776 1908.1668
13214.7598 214.7606 214.75983792.0703 3792.0901 3792.0700
14394.2794 304.5204 394.27946414.8612 5149.7187 6414.8604
15304.5191 394.2801 394.27945171.1965 6436.6047 6436.5863
16394.2794 394.2801 394.27946436.5870 6436.6047 6436.5863
17489.2794 489.2801 489.27945296.7114 5296.7265 5296.7107
18489.2794 489.2801 489.27945288.7658 5288.7809 5288.7652
19511.2796 511.2817 511.27945540.9342 5540.9797 5540.9292
20511.2794 511.2817 511.27945540.9099 5540.9597 5540.9092
21523.2867 523.2793 523.27945071.4381 5071.2898 5071.2897
22523.2836 523.2793 523.28075071.3753 5071.2898 5071.3156
23523.2794 523.2832 523.27945057.2237 5057.3002 5057.2231
24523.2794 523.2832 523.27945057.2237 5057.3002 5057.2231
25523.2794 523.2793 523.27945275.0891 5275.0886 5275.0885
26523.2794 523.2793 523.27945275.0891 5275.0886 5275.0885
2710.0000 10.0000 10.00001140.5240 1140.5240 1140.5240
2810.0000 10.0000 10.00001140.5240 1140.5240 1140.5240
2910.0000 10.0000 10.00001140.5240 1140.5240 1140.5240
3091.2184 87.8008 87.7999762.9889 706.5149 706.5001
31190.0000 189.9989 190.00001643.9913 1643.9869 1643.9913
32190.0000 189.9989 190.00001643.9913 1643.9869 1643.9913
33190.0000 189.9989 190.00001643.9913 1643.9869 1643.9913
34164.9179 164.8036 164.80151587.5968 1585.6100 1585.5733
35164.8672 164.8036 194.39281541.0193 1539.9348 1985.3690
36164.8786 164.8036 200.00001541.2137 1539.9348 2043.7270
37110.0000 110.0000 110.00001220.1661 1220.1661 1220.1661
38110.0000 110.0000 110.00001220.1661 1220.1661 1220.1661
39110.0000 110.0000 110.00001220.1661 1220.1661 1220.1661
40511.2795 511.2794 511.27945540.9320 5540.9299 5540.9292

Sum10500.0000 10500.0000 10500.0000121415.4560 121415.0522 121412.5704