Research Article
Modified Antipredatory Particle Swarm Optimization for Dynamic Economic Dispatch with Wind Power
Table 1
Comparison of five algorithms for benchmark functions.
| | Number | Function | Method | Average value | Optimal value | Standard deviation |
| | 1 | Sphere | TVAC-PSO | 3.24E − 01 | 1.25E – 01 | 1.38E − 01 | | NTVAC-PSO | 1.38E − 01 | 4.79E – 02 | 7.37E − 02 | | TVAC-APSO | 0.00E + 00 | 0.00E + 00 | 0.00E + 00 | | NTVAC-APSO | 0.00E + 00 | 0.00E + 00 | 0.00E + 00 | | MAPSO | 0.00E + 00 | 0.00E + 00 | 0.00E + 00 |
| | 2 | Schwefel | TVAC-PSO | 4.32E + 00 | 2.04E + 00 | 1.11E + 00 | | NTVAC-PSO | 3.59E + 00 | 2.02E + 00 | 1.07E + 00 | | TVAC-APSO | 0.00E + 00 | 0.00E + 00 | 0.00E + 00 | | NTVAC-APSO | 0.00E + 00 | 0.00E + 00 | 0.00E + 00 | | MAPSO | 0.00E + 00 | 0.00E + 00 | 0.00E + 00 |
| | 3 | Rastrigin | TVAC-PSO | 5.57E + 01 | 2.33E + 01 | 1.39E + 01 | | NTVAC-PSO | 4.98E + 01 | 3.24E + 01 | 1.12E + 01 | | TVAC-APSO | 4.18E + 01 | 1.53E + 01 | 1.13E + 01 | | NTVAC-APSO | 4.10E + 01 | 1.37E + 01 | 1.08E + 01 | | MAPSO | 3.70E + 01 | 1.06E + 01 | 1.01E + 01 |
| | 4 | Griewank | TVAC-PSO | 3.85E − 02 | 1.76E – 02 | 1.08E − 02 | | NTVAC-PSO | 1.31E − 02 | 7.70E – 03 | 5.45E − 03 | | TVAC-APSO | 1.23E − 02 | 3.10E – 03 | 1.42E − 02 | | NTVAC-APSO | 8.63E − 03 | 3.10E – 03 | 6.46E − 03 | | MAPSO | 8.34E − 03 | 2.40E – 03 | 3.49E − 03 |
| | 5 | Styblinski | TVAC-PSO | −9.52E + 02 | −1.07E + 03 | 4.15E + 01 | | NTVAC-PSO | −9.71E + 02 | −1.04E + 03 | 3.85E + 01 | | TVAC-APSO | −1.00E + 03 | −1.08E + 03 | 3.50E + 01 | | NTVAC-APSO | −1.00E + 03 | −1.08E + 03 | 3.72E + 01 | | MAPSO | −1.02E + 03 | −1.11E + 03 | 3.47E + 01 |
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