Research Article
Research on Microgrid Scheduling Based on Improved Crow Search Algorithm
Table 7
Statistics of f1∼f11 test results.
| | Test function | D = 50 | D = 100 | | Best | Mean | Worst | Std | Best | Mean | Worst | Std |
| | CSA [11] | 5.62E − 31 | 1.08 E + 03 | 1.67 E + 05 | 8.23 E + 03 | 6.37E − 14 | 6.22 E + 02 | 1.50 E + 05 | 6.47 E + 03 | | PSO [7] | 2.18E − 01 | 7.10 E + 02 | 9.34 E + 04 | 4.84 E + 03 | 9.42E − 02 | 5.13 E + 02 | 1.80 E + 05 | 5.22 E + 03 | | GWO [8] | 4.02E − 64 | 4.78 E + 02 | 1.41 E + 05 | 4.65 E + 03 | 1.57E − 51 | 4.48 E + 02 | 1.09 E + 05 | 4.39 E + 03 | | PSOGA [25] | 2.41E − 06 | 4.73 E + 00 | 2.79 E + 03 | 6.83 E + 01 | 1.57E − 06 | 5.24 E + 00 | 2.84 E + 03 | 6.46 E + 01 | | CLPSO [26] | 5.13 E + 03 | 2.27 E + 04 | 1.20 E + 05 | 2.73 E + 04 | 7.12 E + 03 | 2.80 E + 04 | 1.40 E + 05 | 3.07 E + 04 | | CSA-PSO | 0 | 1.36 E + 00 | 2.38 E + 02 | 4.54 E + 01 | 0 | 1.38 E + 00 | 8.78 E + 02 | 2.42 E + 01 |
| | CSA [11] | 1.74E − 20 | 5.28 E + 16 | 1.58 E + 20 | 2.89 E + 18 | 4.15E − 17 | 1.10 E + 43 | 3.30 E + 46 | 6.02 E + 44 | | PSO [7] | 1.37E − 03 | 1.06 E + 19 | 3.20 E + 22 | 5.85 E + 20 | 6.92E − 01 | 2.85 E + 44 | 8.55 E + 47 | 1.56 E + 46 | | GWO [8] | 1.33E − 81 | 2.63 E + 19 | 7.90 E + 22 | 1.44 E + 21 | 1.16E − 58 | 1.01 E + 43 | 3.02 E + 46 | 5.52 E + 44 | | PSOGA [25] | 1.13E − 02 | 1.42 E + 00 | 2.80 E + 01 | 4.00 E + 00 | 1.02E − 00 | 9.55 E + 00 | 6.82 E + 01 | 1.23 E + 01 | | CLPSO [26] | 1.40E − 02 | 2.68 E + 18 | 1.47 E + 20 | 1.92 E + 19 | 2.74E − 00 | 2.99 E + 47 | 1.63 E + 49 | 2.14 E + 48 | | CSA-PSO | 0 | 2.82E − 01 | 1.26 E + 01 | 3.97 E + 00 | 0 | 2.01 E + 00 | 1.06 E + 01 | 1.10 E + 00 |
| | CSA [11] | 5.80E − 56 | 6.74 E + 02 | 1.32 E + 05 | 6.41 E + 03 | 2.98E − 04 | 1.34 E + 04 | 2.79 E + 05 | 3.94 E + 04 | | | PSO [7] | 1.85E − 12 | 3.63 E + 02 | 1.32 E + 05 | 5.14 E + 03 | 1.04E − 02 | 9.75 E + 02 | 2.75 E + 05 | 1.03 E + 04 | | GWO [8] | 1.29E − 140 | 2.83 E + 02 | 1.24 E + 05 | 4.42 E + 03 | 2.40E − 97 | 9.43 E + 02 | 2.92 E + 05 | 1.12 E + 04 | | PSOGA [25] | 9.72E − 12 | 7.42E − 01 | 2.30 E + 01 | 2.86 E + 00 | 185E + 00 | 5.36 E + 00 | 4.69 E + 01 | 7.54 E + 00 | | CLPSO [26] | 4.81E − 03 | 1.06 E + 04 | 1.28 E + 05 | 2.57 E + 04 | 4.41 E + 01 | 3.89 E + 04 | 2.51 E + 05 | 6.65 E + 04 | | CSA-PSO | 0 | 3.07E − 01 | 5.72 E + 00 | 1.77 E + 00 | 0 | 5.16 E + 00 | 4.01 E + 01 | 6.21 E + 00 |
| | CSA [11] | 2.79E − 07 | 2.00 E + 00 | 9.07 E + 01 | 8.87 E + 00 | 8.01E − 01 | 4.14 E + 01 | 9.74 E + 01 | 3.27 E + 01 | | PSO [7] | 1.53 E + 00 | 3.92 E + 00 | 9.41 E + 01 | 4.89 E + 00 | 5.79 E + 00 | 1.13 E + 01 | 9.06 E + 01 | 5.48 E + 00 | | GWO [8] | 7.47E − 30 | 1.91 E + 00 | 9.44 E + 01 | 1.07 E + 01 | 3.06 E + 00 | 1.60 E + 01 | 9.72 E + 01 | 3.45 E + 01 | | PSOGA [25] | 8.89E − 01 | 9.78E − 01 | 1.43 E + 00 | 7.97E − 02 | 1.98 E + 00 | 1.99 E + 00 | 2.48 E + 00 | 7.00E − 02 | | CLPSO [26] | 3.01 E + 01 | 5.06 E + 01 | 9.19 E + 01 | 1.74 E + 01 | 4.92 E + 01 | 6.84 E + 01 | 9.69 E + 01 | 1.46 E + 01 | | CSA-PSO | 0 | 1.11E − 01 | 3.66 E + 01 | 1.50 E + 00 | 0 | 1.30E − 01 | 4.12 E + 01 | 1.62 E + 00 |
| | CSA [11] | 4.78 E + 01 | 9.53 E + 05 | 4.85 E + 08 | 1.72 E + 07 | 9.82 E + 01 | 2.04 E + 06 | 1.10 E + 09 | 3.65 E + 07 | | PSO [7] | 1.15 E + 01 | 5.15 E + 05 | 5.72 E + 08 | 1.18 E + 07 | 1.86 E + 02 | 2.16 E + 06 | 120E + 09 | 2.56 E + 07 | | GWO [8] | 4.51 E + 01 | 7.69 E + 05 | 5.50 E + 08 | 1.43 E + 07 | 9.76 E + 01 | 3.43 E + 06 | 1.17 E + 09 | 4.62 E + 07 | | PSOGA [25] | 4.48 E + 01 | 1.50 E + 02 | 2.54 E + 03 | 2.32 E + 02 | 2.93 E + 02 | 6.71 E + 02 | 6.31 E + 03 | 7.61 E + 02 | | CLPSO [26] | 4.18 E + 02 | 3.95 E + 07 | 5.74 E + 08 | 1.16 E + 08 | 1.90 E + 04 | 1.21 E + 08 | 1.12 E + 09 | 2.67 E + 08 | | CSA-PSO | 4.85 E + 01 | 1.02 E + 04 | 1.15 E + 07 | 2.62 E + 05 | 9.76 E + 01 | 2.67 E + 04 | 2.75 E + 07 | 6.73 E + 05 |
| | CSA [11] | 8.83 E + 00 | 6.43 E + 02 | 1.14 E + 05 | 5.83 E + 03 | 1.18 E + 00 | 1.18 E + 03 | 8.92 E + 04 | 7.06 E + 03 | | PSO [7] | 1.55E − 01 | 6.06 E + 02 | 1.15 E + 05 | 5.26 E + 03 | 1.68E − 01 | 6.32 E + 02 | 1.08 E + 05 | 6.10 E + 03 | | GWO [8] | 2.91 E + 00 | 4.48 E + 02 | 1.04 E + 05 | 4.58 E + 03 | 2.80 E + 00 | 7.02 E + 02 | 1.46 E + 05 | 6.34 E + 03 | | PSOGA [25] | 1.33E − 06 | 8.49 E + 00 | 7.63 E + 03 | 2.05 E + 02 | 1.72E − 04 | 1.86 E + 01 | 8.78 E + 03 | 2.24 E + 02 | | CLPSO [26] | 5.60 E + 03 | 1.92 E + 04 | 1.73 E + 05 | 2.86 E + 04 | 9.26 E + 03 | 2.61 E + 04 | 1.28 E + 05 | 1.88 E + 04 | | CSA-PSO | 5.22E − 09 | 4.9 E + 00 | 7.35 E + 02 | 2.09 E + 01 | 1.97E − 10 | 6.60 E + 00 | 1.08 E + 03 | 2.02 E + 01 |
| | CSA [11] | 1.81E − 17 | 1.49 E + 01 | 4.37 E + 02 | 3.13 E + 01 | 7.39E − 47 | 4.62 E + 00 | 1.69 E + 03 | 6.46 E + 01 | | PSO [7] | 7.71E − 17 | 1.39 E + 02 | 4.35 E + 02 | 1.60 E + 02 | 1.36 E + 02 | 1.75 E + 03 | 2.02 E + 03 | 2.49 E + 02 | | GWO [8] | 7.99E − 233 | 4.39E − 01 | 3.83 E + 02 | 9.86 E + 00 | 4.95E − 162 | 5.33 E + 00 | 1.65 E + 03 | 7.15 E + 01 | | PSOGA [25] | 3.72E − 13 | 6.98 E + 00 | 6.46 E + 02 | 4.77 E + 01 | 1.17 E + 00 | 3.52 E + 02 | 9.16 E + 03 | 1.16 E + 03 | | CLPSO [26] | 5.74E − 10 | 2.38 E + 01 | 4.71 E + 02 | 7.1 E + 01 | 5.50E − 04 | 2.15 E + 02 | 2.25 E + 03 | 5.05 E + 02 | | CSA-PSO | 0 | 8.90E − 03 | 1.13 E + 01 | 2.45E − 01 | 0 | 3.77E − 02 | 5.14 E + 01 | 1.05 E + 00 |
| | CSA [11] | −7.86 E + 03 | −5.81 E + 03 | −3.43 E + 03 | 1.10 E + 03 | −1.30 E + 04 | −6.85 E + 03 | −3.63 E + 03 | 1.60 E + 03 | | PSO [7] | −1.27 E + 04 | −1.20 E + 04 | −2.36 E + 03 | 2.15 E + 03 | −1.75 E + 04 | −6.85 E + 03 | −3.63 E + 03 | 1.60 E + 03 | | GWO [8] | −8.19 E + 03 | −5.25 E + 03 | −2.67 E + 03 | 1.30 E + 03 | −1.53 E + 04 | −8.45 E + 03 | −4.22 E + 03 | 3.17 E + 03 | | PSOGA [25] | −1.97 E + 02 | −1.95 E + 02 | −4.29 E + 01 | 8.93 E + 00 | −4.31 E + 02 | −4.11 E + 02 | −8.33 E + 01 | 3.49 E + 01 | | CLPSO [26] | −2.08 E + 04 | 1.59 E + 04 | −2.35 E + 03 | 5.42 E + 03 | −4.06 E + 04 | −2.50 E + 04 | −3.67 E + 03 | 1.21 E + 04 | | CSA-PSO | −2.38 E + 04 | −2.03 E + 04 | −3.71 E + 03 | 9.48 E + 01 | −4.45 E + 04 | −4.12 E + 04 | −5.59 E + 03 | 2.62 E + 03 |
| | CSA [11] | 3.07 E + 01 | 8.26 E + 01 | 7.85 E + 02 | 6.86 E + 01 | 5.97 E + 01 | 2.38 E + 02 | 1.62 E + 03 | 2.02 E + 02 | | PSO [7] | 9.25 E+01 | 3.03 E + 02 | 8.09 E + 02 | 2.31 E + 02 | 2.53 E + 02 | 7.96 E + 02 | 1.71 E + 03 | 5.18 E + 02 | | GWO [8] | 0 | 9.41 E + 00 | 7.92 E + 02 | 6.25 E + 01 | 0 | 3.12 E + 01 | 1.61 E + 03 | 1.55 E + 02 | | PSOGA [25] | 1.06 E + 01 | 1.36 E + 02 | 4.92e + 02 | 7.55 E + 01 | 3.94 E + 02 | 5.37 E + 02 | 1.25 E + 03 | 1.82 E + 02 | | CLPSO [26] | 3.18E − 01 | 1.95 E + 02 | 7.62 E + 02 | 2.06 E + 02 | 7.27 E + 01 | 6.42 E + 02 | 1.70 E + 03 | 4.54 E + 02 | | CSA-PSO | 0 | 2.76 E + 00 | 4.90 E + 02 | 3.07 E + 01 | 0 | 5.65 E + 00 | 9.95 E + 02 | 6.62 E + 01 |
| | CSA [11] | 6.03E − 14 | 3.45E − 01 | 2.08 E + 01 | 2.05 E + 00 | 1.49E − 07 | 6.39E − 01 | 2.08 E + 01 | 2.26 E + 00 | | PSO [7] | 5.04E − 06 | 3.19 E + 00 | 2.08 E + 01 | 3.19 E + 00 | 1.47 E + 00 | 5.12 E + 00 | 2.08 E + 01 | 3.71 E + 00 | | GWO [8] | 1.06E − 14 | 2.19E − 01 | 2.06 E + 01 | 1.70 E + 00 | 1.42E − 14 | 3.34E − 01 | 2.10 E + 01 | 2.16 E + 00 | | PSOGA [25] | 1.56 E + 00 | 1.66 E + 00 | 4.20 E + 00 | 3.70E − 01 | 2.43 E + 00 | 2.71 E + 00 | 4.53 E + 00 | 3.90E − 01 | | CLPSO [26] | 3.07E − 02 | 6.73 E + 00 | 2.04 E + 01 | 6.93 E + 00 | 3.06 E + 00 | 1.12 E + 01 | 2.10 E + 01 | 6.15 E + 00 | | CSA-PSO | 0 | 7.36E − 02 | 1.52 E + 01 | 0.25E − 01 | 0 | 7.65E − 02 | 1.48 E + 01 | 8.31E − 01 |
| | CSA [11] | 3.66E − 15 | 2.98 E + 00 | 1.18 E + 03 | 4.01 E + 01 | 0 | 1.19 E + 01 | 2.70 E + 03 | 1.10 E + 02 | | PSO [7] | 9.85E − 03 | 1.41 E + 01 | 1.12 E + 03 | 9.96 E + 01 | 1.43E − 04 | 3.13 E + 01 | 2.47 E + 03 | 2.11 E + 02 | | GWO [8] | 0 | 2.83 E + 00 | 1.01 E + 03 | 4.09 E + 01 | 0 | 9.23 E + 00 | 2.46 E + 03 | 1.01 E + 02 | | PSOGA [25] | 3.81E − 03 | 2.14E − 02 | 5.92E − 01 | 6.49E − 02 | 1.62E − 03 | 7.37E − 02 | 6.80E − 01 | 1.24E − 01 | | CLPSO [26] | 9.56E − 03 | 8.75 E + 01 | 1.18 E + 03 | 2.07 E + 02 | 1.30 E + 00 | 3.51 E + 02 | 2.44 E + 03 | 6.04 E + 02 | | CSA-PSO | 0 | 0 | 0 | 0 | 0 | 5.87E − 02 | 3.45E − 01 | 1.05E − 01 |
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