Table 11 Comparison of control variables for test case 3 with OGSA, WCA, NGBWCA from proposed technique.
From: Design of fractional evolutionary processing for reactive power planning with FACTS devices
Variable | OGSA | WCA | NGBWCA | FO-DPSO | Variable | OGSA | WCA | NGBWCA | FO-DPSO |
|---|---|---|---|---|---|---|---|---|---|
Generator voltage | |||||||||
V1 | 1.0388 | 1 | 1.0002 | 0.9655 | V100 | 1.0032 | 1.0029 | 1.0021 | 1.0846 |
V4 | 0.9872 | 1.0194 | 1.0202 | 1.0378 | V103 | 0.9843 | 1.0502 | 0.9998 | 0.9677 |
V6 | 0.9925 | 0.9996 | 0.9936 | 1.1 | V104 | 0.988 | 0.9872 | 0.9852 | 1.0735 |
V8 | 0.9905 | 0.9812 | 0.9771 | 1.069 | V105 | 1.0003 | 0.9992 | 0.9994 | 1.079 |
V10 | 0.9919 | 1.0031 | 1.0051 | 1.0426 | V105 | 1.0033 | 1.0136 | 1.0198 | 1.0974 |
V12 | 1.0077 | 1.0131 | 1.012 | 1.0758 | V110 | 1.004 | 1.0043 | 1.0152 | 1.1 |
V15 | 1.0034 | 0.9859 | 0.9853 | 1.0209 | V111 | 1.0331 | 1.0247 | 1.0241 | 1.058 |
V18 | 0.9773 | 1.0575 | 1.0557 | 1.0103 | V112 | 0.9877 | 1.0023 | 1.0023 | 0.9995 |
V19 | 1.0324 | 1.0203 | 1.019 | 1.0595 | V113 | 0.9705 | 0.9825 | 0.9951 | 1.0211 |
V24 | 1.0285 | 1.0201 | 1.0197 | 1.0548 | V116 | 1.027 | 0.9976 | 0.997 | 1.0829 |
V25 | 0.9705 | 1.0246 | 1.0108 | 0.9978 | Transformer tap ratio | Â | Â | Â | Â |
V26 | 1.0175 | 0.9883 | 0.9954 | 1.0031 | T8 | 0.9841 | 0.9956 | 1.0484 | 1.0792 |
V27 | 1.0117 | 1.0164 | 1.0204 | 1.0695 | T32 | 1.0377 | 0.9712 | 0.9511 | 0.9973 |
V31 | 1.0014 | 0.9976 | 0.999 | 1.0919 | T36 | 0.9573 | 1.034 | 1.0312 | 1.075 |
V32 | 0.9988 | 0.9913 | 0.9877 | 1.0965 | T51 | 0.9952 | 0.9817 | 0.9811 | 0.9954 |
V34 | 1.0158 | 1.0027 | 1.0211 | 1.0962 | T93 | 0.9622 | 1.0212 | 1.0224 | 0.9888 |
V36 | 0.9916 | 0.9687 | 0.9656 | 0.9819 | T95 | 1.032 | 0.9976 | 0.9972 | 1.0071 |
V40 | 1.0132 | 1.0002 | 1.0031 | 1.0294 | T102 | 1.0137 | 1.0021 | 1.0249 | 1.005 |
V42 | 0.9892 | 1.0115 | 1.0012 | 1.0616 | T107 | 0.9795 | 0.9679 | 0.9621 | 0.9904 |
V46 | 1.0607 | 1.0531 | 1.0512 | 1.0384 | T127 | 0.9985 | 1.0212 | 1.0102 | 1.0309 |
V49 | 1.0031 | 1.0026 | 1.0001 | 1.0154 | Capacitor banks | Â | Â | Â | Â |
V54 | 1.0236 | 1.0231 | 1.0227 | 1.0357 | QC-5 | − 0.2403 | − 0.1427 | − 0.1413 | 0.9772 |
V55 | 1.0176 | 1.0346 | 1.0323 | 0.9959 | QC-34 | 0.0371 | 0.0215 | 0.0212 | 0.9658 |
V56 | 1.0149 | 1.0131 | 1.0139 | 1.0802 | QC-37 | − 0.0437 | − 0.1390 | − 0.1319 | 0.9804 |
V59 | 1.0584 | 1.0099 | 1.0084 | 1.0275 | QC-44 | 0.0375 | 0.0712 | 0.0781 | 18.1179 |
V61 | 0.9829 | 1 | 1.0001 | 0.982 | QC-45 | 0.04 | 0.0452 | 0.0459 | − 24.2592 |
V62 | 1.0562 | 1 | 1.0027 | 1.0944 | QC-46 | 0.0749 | 0.0549 | 0.0711 | − 7.7363 |
V65 | 0.9724 | 0.9694 | 0.9681 | 1.0755 | QC-48 | 0.0796 | 0.1076 | 0.1002 | 22.8106 |
V66 | 1.002 | 1.0175 | 1.0143 | 1.0852 | QC-74 | 0.0883 | 0.0084 | 0.0082 | − 4.3584 |
V69 | 0.9827 | 1.0158 | 0.9995 | 1.091 | QC-79 | 0.1218 | 0.0197 | 0.019 | − 9.5234 |
V70 | 0.9997 | 0.9814 | 0.9721 | 1.0043 | QC-82 | 0.038 | 0.1435 | 0.1417 | 28.0814 |
V72 | 1.0123 | 0.991 | 0.9987 | 1.0104 | QC-83 | 0.0627 | 0.0813 | 0.0921 | 1.4103 |
V73 | 0.996 | 1.0313 | 0.9946 | 1.0785 | QC-105 | 0.083 | 0.1146 | 0.116 | 6.8655 |
V74 | 1.0232 | 1.0002 | 1.0212 | 1.0794 | QC-107 | 0.0459 | 0.0279 | 0.0242 | − 27.6663 |
V76 | 1.0015 | 1.0097 | 1.0024 | 1.05 | QC-110 | 0.0221 | 0.0276 | 0.0257 | − 27.6663 |
V77 | 1.0124 | 1.03 | 1.0122 | 1.0357 | Â | Â | Â | Â | Â |
V80 | 1.0226 | 1.0124 | 0.9998 | 1.0905 | Â | Â | Â | Â | Â |
V85 | 1.0117 | 1.0112 | 1.0205 | 1.1 | Â | Â | Â | Â | Â |
V87 | 1.0058 | 0.9997 | 1.0002 | 1.0159 | Â | Â | Â | Â | Â |
V89 | 1.0076 | 1.0087 | 1.0002 | 1.0497 | Â | Â | Â | Â | Â |
V90 | 0.9753 | 1.0145 | 1.0182 | 0.9941 | Â | Â | Â | Â | Â |
V91 | 0.9836 | 0.9934 | 0.9879 | 1.0182 | Â | OGSA | WCA | NGBWCA | F0-DPSO |
V92 | 1.0272 | 0.9994 | 0.9999 | 0.9747 | Â | Â | Â | Â | Â |
V99 | 0.9612 | 1.0712 | 1.0672 | 1.0647 | \(P_{loss}\), MW | 157.72 | 165.71 | 152.31 | 132.5 |