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Table 8 SGWO and GWO tuned PID and AFPID parameters

From: Application of a simplified Grey Wolf optimization technique for adaptive fuzzy PID controller design for frequency regulation of a distributed power generation system

Technique: Controller

Optimized parameters

Objective function value

GWO: PID

KP = 1.5531, KI = 0. 1954, KD = 0.9517

11.95

SGWO: PID

KP = 0.5422, KI = 0. 0801, KD = 0.0295

10.99

GWO: AFPID

K1 = 0.7148, K2 = 1.0995

KP1 = 0.1442, KI1 = 0.1701, KD1 = 0.6822

KP2 = 0.1867, KI2 = 1.0645, KD2 = 1.501

7.9544

SGWO: AFPID

K1 = 0.7163, K2 = 0.0011

KP1 = 0.2817, KI1 = 0.5591, KD1 = 0.5595

KP2 = 0.2474, KI2 = 0.6671, KD2 = 0.6676

7.774