Research Article

Improved Solutions for the Optimal Coordination of DOCRs Using Firefly Algorithm

Table 2

Best design variables, objective function values (F), and number of function evaluations (NFE) for IEEE 4-bus model by DE, modified DE, and firefly algorithms.

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

0.0500 0.0500 0.0500 0.0500 0.0500 0.05000.0500
0.2248 0.2121 0.21230.2121 0.21210.21210.0920
0.0500 0.05000.0500 0.0500 0.0500 0.05000.0500
0.15150.15150.15150.15150.1515 0.15150.0687
0.1264 0.1264 0.1264 0.12640.1262 0.12640.0725
0.05000.05000.0500 0.05000.05000.05000.0500
0.1337 0.1338 0.13710.13380.1337 0.13370.0871
0.05000.05000.05000.0500 0.05000.05000.0500
1.27341.2733 1.27331.27331.2501.27341.3964
1.2501.49981.49591.500 1.5001.49991.3885
1.25001.25001.2500 1.250 1.250 1.25001.3102
1.49971.49961.4997 1.4995 1.5001.49991.4686
1.49971.5001.500 1.4997 1.500 1.5001.4236
1.2501.25001.250 1.250 1.2501.25001.3177
1.5001.49971.42741.4995 1.4998 1.5001.3697
1.2501.2501.250 1.250 1.250 1.2501.3729
F3.67743.66943.67343.66923.66743.66943.5624
NFE95400434006720099700551003533035500