A Novel Optimal Robust Design Method for Frequency Regulation of Three-Area Hybrid Power System Utilizing Honey Badger Algorithm

Table 3

Optimized parameters for the hybrid power system.

Parameters	Proposed HBA-tuned FOPID controller	HBA-tuned TID controller	HBA-tuned PID controller	GSA-tuned PID
Controller 1	KP = 1.6491, KI = 1.8964, KD = 1.8965	KP = 1.6987, KI = 1.9898, KD = 1.8965	KP = 1.9987, KI = 1.9987, KD1 = 1.9987	KP = 1.9985, KI = 0.9987, KD1 = 1.6669
Controller 2	KP = 1.6984, KI = 1.8974, KD = 1.9853	KP = 1.8976, KI = 1.8562, KD = 1.6985	KP = 1.9987, KI = 1.9987, KD1 = 1.9987	KP = 1.9236, KI = 1.9865, KD = 1.9541
Controller 3	KP = 1.9856, KI = 1.8978, KD = 1.7865	KP = 1.8965, KI = 1.9658, KD = 1.6985	KP = 1.9987, KI = 1.9987, KD1 = 1.9987	KP = 1.9946, KI = 1.9306, KD = 1.9943
Controller 4	KP = 1.8965, KI = 1.9852, KD = 1.99658	KP = 1.9632, KI = 1.8965, KD = 1.6985	KP = 1.8974, KI = 1.9121, KD1 = 1.6895	KP = 1.9896, KI = 1.9987, KD = 1.9987
Controller 5	KP = 1.8975, KI = 1.7854, KD = 1.8956	KP = 1.9987, KI = 1.9987, KD = 1.9987	KP = 1.6985, KI = 1.8956, KD1 = 1.9658	KP = 1.8799, KI = 1.8887, KD = 1.9987
Controller 6	KP = 1.9655, KI = 1.8965, KD = 1.8965	KP = 1.9987, KI = 1.9987, KD = 1.9987	KP = 1.7845, KI = 1.9654, KD1 = 1.9865	KP = 1.9987, KI = 1.9987, KD = 1.9856
ITAE	54.6	57.1	59.3	68.03