Research Article

Hybridized Symbiotic Organism Search Algorithm for the Optimal Operation of Directional Overcurrent Relays

Table 3

Optimal values of design variables, objective values, and function evaluations obtained by SASOS, DE, and modified DE: IEEE 6-bus system.

DE MDE-1MDE-2MDE-3MDE-4MDE-5SASOS

0.11730.1171 0.1149 0.10340.11440.1024 0.1425
0.2082 0.1866 0.2037 0.1863 0.1864 0.18630.2076
0.09970.09650.09820.09610.09470.09460.0622
0.11250.11190.10367 0.11250.1006 0.1067 0.1010
0.05000.05000.05000.0500 0.0500 0.05000.0524
0.05800.05000.0500 0.0500 0.0500 0.05000.0536
0.05000.05000.05000.05000.05000.05000.0501
0.05000.05000.05000.05000.05000.0500 0.0501
0.05000.05000.05000.05000.05000.05000.0539
0.07190.0706 0.0575 0.0703 0.0701 0.05630.0506
0.06490.06490.06670.06490.06490.06500.0500
0.06170.0617 0.05660.05090.0509 0.05530.0502
0.05000.05000.06350.05000.05000.05000.0500
0.08560.0860 0.0859 0.0857 0.07090.07090.0824
1.25051.25151.26351.49951.26021.49911.4593
1.25001.49591.29931.49991.49871.49991.2545
1.25121.25251.26221.25751.27611.27711.2500
1.25151.26321.43221.25081.49921.36501.3348
1.25001.25001.25001.25001.25001.25001.2511
1.25001.38221.38851.38101.38141.38181.2734
1.25001.25001.25081.25001.25001.25001.2502
1.25001.2501 1.2500 1.2500 1.25051.2500 1.2737
1.25021.25001.25141.25001.25001.25001.2508
1.2502 1.2501 1.4970 1.2521 1.2500 1.49961.2536
1.49981.49991.47591.49981.49991.49981.5000
1.25751.25291.4700 1.49971.50001.39311.2501
1.4805 1.4664 1.27281.46471.46151.46131.4190
1.25571.25001.2624 1.25401.4979 1.49741.2515
10.627210.506710.623810.437010.381210.35149.8948
NFE 212190 72960 1818010158010086010620035000