Journal of Electrical Systems and Information Technology

Table 3 Comparative performance index values under different cases

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

Parameters		AC link				Parallel AC-DC link
Parameters		DE: Optimal	DE: PID	DE: FOPID	hDE-PS: FOPID	DE: Optimal	DE: PID	DE: FOPID	hDE-PS: FOPID
ITAE		9.3341	2.7718	0.8723	0.6452	5.6170	0.9906	0.3738	0.2156
T_S(s)	ΔF₁	64.90	46.34	23.03	12.65	33.36	24.02	6.04	3.72
	ΔF₂	64.90	46.34	23.09	10.84	35.36	26.21	4.66	4.03
	ΔP_Tie	42.90	39.89	13.21	11.20	38.82	30.63	8.74	5.79
Peak over shoot (× 10^–3)	ΔF₁	13.2	22.6	3.2	1.0	8.7	7.5	2.4	0.5
	ΔF₂	11.3	28.3	4.1	1.8	15.0	8.0	2.7	1.1
	ΔP_Tie	6.2	5.5	3.7	3.6	15.0	2.0	0.3	1.2
Peak under shoot(× 10^–3)	ΔF₁	− 57.9	− 28.4	− 16.0	− 16.0	− 27.2	− 20.7	− 18.7	− 12.0
	ΔF₂	− 44.8	− 31.1	− 20.8	− 20.9	− 40.5	− 24.9	− 15.9	− 13.3
	ΔP_Tie	− 8.60	− 3.20	− 0.20	− 0.10	− 1.10	− 1.30	− 1.50	− 0.2

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