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Table 16 Simulation results for TSys-2 (6-unit system)

From: An advanced hybrid meta-heuristic algorithm for solving small- and large-scale engineering design optimization problems

Power output (MW) Compared algorithms Proposed algorithms
PSO GA MTVPSO IPSO EHM BCO NCS MPSO-TVAC IPSO-TVAC θ-PSO aDE aPSO haDEPSO
1 446.986 474.8066 451.5204 449.802 449.1546 444.9513 446.71 448.170 447.5840 447.3555 451.2214 451.5384 451.5204
2 170.196 178.6363 172.1750 171.042 173.0613 173.8016 173.01 173.291 173.2010 173.2577 172.452 172.825 172.175
3 252.902 262.2089 258.4186 250.865 266.0092 263.3943 265.00 263.145 263.3310 263.3848 258.5174 259.3497 258.4186
4 150.000 134.2826 140.6441 150.000 127.1203 138.6992 139.00 138.714 138.8520 139.0440 140.6441 140.5341 140.6441
5 178.780 151.9039 162.0797 159.347 174.2603 167.9755 165.23 165.960 165.3280 165.3317 162.0797 161.0893 162.0797
6 77.085 74.1812 90.3415 94.633 85.8777 87.1664 86.78 86.691 87.1500 87.0593 90.3415 90.1115 90.3415
Total power (MW) 1275.95 1276.03 1275.1795 1275.69 1275.4834 1275.9882 1275.7 1275.97 1275.4460 1275.433 1275.256 1275.448 1275.179
Power loss (MW) 12.95 13.0217 12.1795 12.69 12.4834 12.9864 12.733 12.97 12.4460 12.4429 12.256 12.448 12.179
Power balance (MW) 0.000 0.0083 0.000 0.000 0.0 0.0018 0.0048 0.000 0.000 − 0.0099 0.000 0.000 0.000
Min cost ($/h) 15,450.00 15,459.00 15,441.1084 15,453.50 15,441.5974 15,450.031 15,447.00 15,449.91 15,443.063 15,442.9411 15,441.3561 15,441.8451 15,440.1288
Mean cost ($/h) 15,454.00 15,461.35 15,441.1087 15,462.59 15,442.8547 15,452.257 15,448.58 15,450.17 15,443.582 15,442.9419 15,442.0215 15,443.2215 15,441.6548
Max cost ($/h) 15,492.00 15,485.87 15,441.1104 15,468.48 15,446.5874 15,455.458 15,449.85 15,451.57 155,445.114 15,442.9500 15,446.7845 15,447.1847 15,444.8541
Std. of cost ($/h) 0.0025 0.0078 0.0031 0.84 0.00046 0.0069 0.00145 0.37 0.00255 0.0015 0.0027 0.0031 0.0022
CPU mean time (s) 14.89 41.58 0.32 1.25 0.32 3.10 7.58 1.68 0.89 5.4429 0.38 0.41 0.34