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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
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
TS(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
ΔPTie 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
ΔPTie 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
ΔPTie − 8.60 − 3.20 − 0.20 − 0.10 − 1.10 − 1.30 − 1.50 − 0.2