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Table 2 Optimized PID/FOPID controller

From: Comparative performance analysis of hybrid differential evolution and pattern search technique for frequency control of the electric power system

Gains AC link Parallel AC-DC link
DE:PID DE:FOPID hDE-PS:FOPID PID FOPID hDE-PS:FOPID
KP1 − 0.3968 − 1.4056 − 1.5207 − 1.6106 − 1.9956 − 1.9353
KP2 − 1.3719 0.6266 0.7151 − 1.6106 0.8880 0.5400
KP3 − 1.0413 0.5321 0.5485 − 1.7589 − 1.5540 1.2598
KI1 − 0.5039 − 1.5322 − 1.5974 − 1.1799 − 0.0381 − 1.9478
KI2 − 0.6308 − 1.6221 − 1.6299 1.5177 − 1.8206 − 1.7133
KI3 − 1.0121 − 1.6514 − 1.7125 − 0.6086 − 0.1188 − 1.0104
KD1 − 0.9209 − 1.6221 − 1.5017 − 0.2533 − 1.8206 − 1.5401
KD2 − 1.0952 − 1.1721 − 1.1193 − 1.4752 − 0.3613 − 0.0660
KD3 − 1.8923 1.8160 1.7229 0.6136 0.4604 − 0.3920
λ1 0.0145 0.0201 0.9227 0.3294
λ2 0.9426 0.9456 0.7883 0.8545
λ3 0.0299 0.0440 0.9693 0.4782
μ1 0.9681 0.7557 0.1812 0.2327
μ2 0.2841 0.3846 0.0367 0.0410
μ3 0.5121 0.3166 0.0759 0.2442