Research Article
Application of Hybrid MOPSO Algorithm to Optimal Reactive Power Dispatch Problem Considering Voltage Stability
Table 1
Optimal settings of control variables for
and VD minimization in IEEE 30-bus system (Case 1).
| Variable | Initial | MOPSO | NSGA-II | MOEA/D | HMOPSO | Best | Best VD | Best | Best VD | Best | Best VD | Best | Best VD |
| | 1.05 | 1.0708 | 1.0183 | 1.0658 | 1.0086 | 1.0800 | 1.0112 | 1.0715 | 1.0120 | | 1.04 | 1.0630 | 1.0084 | 1.0561 | 1.0008 | 1.0703 | 1.0041 | 1.0642 | 1.0022 | | 1.01 | 1.0415 | 1.0030 | 1.0346 | 1.0000 | 1.0482 | 1.0025 | 1.0401 | 0.9998 | | 1.01 | 1.0405 | 0.9995 | 1.0351 | 1.0013 | 1.0494 | 1.0060 | 1.0409 | 1.0000 | | 1.05 | 1.0744 | 1.0300 | 1.0417 | 0.9933 | 1.1000 | 1.0261 | 1.0773 | 1.0982 | | 1.05 | 1.0620 | 1.0418 | 1.0694 | 1.0650 | 1.0995 | 1.0500 | 1.0598 | 1.0376 | | 1.078 | 1.075 | 1 | 1.025 | 1 | 1.0125 | 0.9875 | 1.0375 | 1.05 | | 1.069 | 0.9 | 0.9125 | 0.9 | 0.9125 | 0.9125 | 0.9875 | 0.95 | 0.9875 | | 1.032 | 1 | 1 | 0.9875 | 1.025 | 1.0125 | 1 | 0.975 | 0.9875 | | 1.068 | 0.9625 | 0.925 | 0.95 | 0.925 | 0.95 | 0.925 | 0.9625 | 0.925 | | 0.0 | 0.05 | 0.01 | 0.01 | 0.04 | 0.1 | 0.02 | 0.02 | 0.01 | | 0.0 | 0 | 0.05 | 0.02 | 0 | 0.1 | 0.03 | 0.01 | 0.05 | (MW) | 5.8327 | 4.9849 | 5.5968 | 5.0465 | 5.6749 | 4.9595 | 5.6553 | 4.8536 | 5.8650 | VD (pu) | 1.1582 | 0.7196 | 0.1222 | 0.7248 | 0.1274 | 0.7452 | 0.1237 | 0.8842 | 0.0913 |
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