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.
| | Function | IGD | GD | PD | HV | DM | Spread | Spacing | T (s) |
| 50 W | NNIA | Ave | 8.50 | 1.01 | 3.36E + 05 | 0.572 | 0.726 | 0.663 | 6.04 | 7.33E − 02 | Std | 2.96 | 0.29 | 7.18E + 04 | 0.004 | 0.059 | 0.085 | 1.06 | 1.34E − 03 | NSGAII | Ave | 11.23 | 0.94 | 2.99E + 05 | 0.571 | 0.684 | 0.696 | 4.96 | 6.50E − 02 | Std | 5.16 | 0.26 | 5.21E + 04 | 0.008 | 0.047 | 0.064 | 0.69 | 2.58E − 03 | SPAR2 | Ave | 11.08 | 0.64 | 2.85E + 05 | 0.573 | 0.752 | 0.475 | 3.62 | 6.49 E − 02 | Std | 5.33 | 0.17 | 7.60E + 04 | 0.007 | 0.076 | 0.090 | 0.79 | 1.92E − 03 | SPEAR | Ave | 12.20 | 0.98 | 2.47E + 05 | 0.562 | 0.634 | 0.826 | 9.01 | 6.63E − 02 | Std | 4.17 | 0.34 | 3.47E + 04 | 0.006 | 0.057 | 0.076 | 2.06 | 2.98E − 03 |
| −50 W | NNIA | Ave | 12.54 | 0.66 | 2.18E + 05 | 0.485 | 0.689 | 0.735 | 5.44 | 7.79E − 02 | Std | 11.87 | 0.15 | 2.47E + 04 | 0.003 | 0.065 | 0.070 | 1.23 | 5.13E − 03 | NSGAII | Ave | 14.68 | 0.37 | 2.15E + 05 | 0.485 | 0.663 | 0.759 | 4.73 | 6.48E − 02 | Std | 11.37 | 0.14 | 3.38E + 04 | 0.007 | 0.079 | 0.056 | 1.05 | 2.87E − 03 | SPAR2 | Ave | 22.35 | 0.45 | 1.74E + 05 | 0.479 | 0.692 | 0.523 | 2.96 | 6.47 E − 02 | Std | 25.49 | 0.11 | 3.52E + 04 | 0.009 | 0.151 | 0.143 | 0.87 | 2.46 E − 03 | SPEAR | Ave | 13.12 | 0.61 | 2.15E + 05 | 0.487 | 0.612 | 0.879 | 7.76 | 6.70E − 02 | Std | 6.04 | 0.15 | 4.79E + 04 | 0.004 | 0.062 | 0.067 | 2.30 | 2.84E − 03 |
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