Table 11.
Comparison of BCSs of cases 1–4 for IEEE-30 bus system.
| Optimization method | Cost ($/h) | Emission (t/h) | Loss (MW) | VD (p.u.) | ||
|---|---|---|---|---|---|---|
| Case1rowhead | ||||||
| NSMA-SFab | 864.85 | 0.097533 | 2.856 | 0.49609 | ||
| NSGA–II–SF [30]ab | 856.95 | 0.101 | 3.0935 | 0.4654 | ||
| TLBO [45] | 783.1329 | 1.8065 | 5.8742 | 0.4343 | ||
| SHADE-SF [23]ab | 782.503 | 1.762 | 5.770 | 0.463 | ||
| GWO [35]a | 785.7831 | 1.7648 | 6.0324 | 0.5143 | ||
| HHO [36]a | 785.1378 | 1.3775 | 6.4716 | 0.4856 | ||
| PSO [43]a | 790.2252 | 1.7274 | 6.5713 | 0.4245 | ||
| ACNSDE-SF [30]a, b | 843 | 0.123 | 3.5492 | 0.4356 | ||
| MOEA/D-SF [41] | 829.515 | 0.2501 | – | – | ||
| Case2rowhead | ||||||
| NSMA-SFab | 792.63 | 1.8016 | 6.41 | 0.40204 | ||
| MOMICA [42] | 804.96 | – | – | 0.0952 | ||
| MOEA/D [8]b | 799.99 | – | – | 0.354 | ||
| MOEA/D-SF [37] | 802.406 | – | – | 0.1362 | ||
| SP-DE [6]b | 803.4241 | 0b36424 | 9.7807 | 0.09772 | ||
| ICBO [9] | 803.3978 | – | 9.7453 | 0.1014 | ||
| BSA [33] | 803.4294 | 0.3546 | 9.3751 | 0.1147 | ||
| Case 3rowhead | ||||||
| NSMA-SFab | 856.44 | 0.11004 | 2.7762 | 0.4378 | ||
| NSGA–II–SF [30]ab | 853.54 | 0.11812 | 2.8492 | 0.4401 | ||
| ACNSDE-SF [30]ab | 827.33 | 0.19659 | 4.1918 | 0.4365 | ||
| GWO [35]a | 832.2049 | 0a0982 | 2.1056 | 0.5914 | ||
| HHO [36]a | 811.4170 | 0a7337 | 6.8614 | 0.4006 | ||
| PSO [43]a | 898.7527 | 0a0966 | 2.3776 | 0.4751 | ||
| TLBO [45]a | 882.2742 | 0a1004 | 2.1891 | 0.4705 | ||
| MOPSO [8] | 891.48 | 0.2144 | 3.9557 | – | ||
| MOEA/D [8]b | 902.54 | 0.2b07 | 3.4594 | – | ||
| NSGA-II [8] | 903.79 | 0.2103 | 3.7917 | – | ||
| MOEA/D-SF [41] | 881.012 | 0.2164 | 4.1441 | – | ||
| Case 4rowhead | ||||||
| NSMA-SFab | 859.97 | 0.09805 | 2.8134 | 0.70973 | ||
| NSGA–II–SF [30]ab | 796.42 | 1.3481 | 6.1125 | 0.4044 | ||
| ACNSDE-SF [30]ab | 850.38 | 0.11084 | 3.4526 | 0.42903 | ||
| GWO [35]a | 906.5425 | 0a2085 | 5.1738 | 0.3766 | ||
| HHO [36]a | 824.4960 | 0a1981 | 2.5172 | 0.4572 | ||
| MOEA/D-SF [41] | 842.446 | 0.2406 | – | 0.1092 | ||
| TLBO [45] | 935.6737 | 0.2682 | 5.4925 | 0.3774 | ||
| MOPSO [8] | 846.93 | 0.2386 | – | 0.2188 | ||
| PSO [43]a | 843.1084 | 0a3977 | 5.4799 | 0.3988 | ||
| NSGA-II [8] | 825.86 | 0.1421 | – | 0.2648 | ||
| MOEA/D [8]b | 850.28 | 0.1b55 | – | 0.2332 | ||
Bold values represent the best results.
a
MOOPF witharenewable energy sources.
b
MOOPF consbders the valve point effect in the cost calculation.