Research Article

Biobjective Optimization-Based Frequency Regulation of Power Grids with High-Participated Renewable Energy and Energy Storage Systems

Table 5

Comparison of performance metrics of algorithms.

FunctionIGDGDPDHVDMSpreadSpacingT (s)

50 WNNIAAve8.501.013.36E + 050.5720.7260.6636.047.33E − 02
Std2.960.297.18E + 040.0040.0590.0851.061.34E − 03
NSGAIIAve11.230.942.99E + 050.5710.6840.6964.966.50E − 02
Std5.160.265.21E + 040.0080.0470.0640.692.58E − 03
SPAR2Ave11.080.642.85E + 050.5730.7520.4753.626.49 E − 02
Std5.330.177.60E + 040.0070.0760.0900.791.92E − 03
SPEARAve12.200.982.47E + 050.5620.6340.8269.016.63E − 02
Std4.170.343.47E + 040.0060.0570.0762.062.98E − 03

−50 WNNIAAve12.540.662.18E + 050.4850.6890.7355.447.79E − 02
Std11.870.152.47E + 040.0030.0650.0701.235.13E − 03
NSGAIIAve14.680.372.15E + 050.4850.6630.7594.736.48E − 02
Std11.370.143.38E + 040.0070.0790.0561.052.87E − 03
SPAR2Ave22.350.451.74E + 050.4790.6920.5232.966.47 E − 02
Std25.490.113.52E + 040.0090.1510.1430.872.46 E − 03
SPEARAve13.120.612.15E + 050.4870.6120.8797.766.70E − 02
Std6.040.154.79E + 040.0040.0620.0672.302.84E − 03