Table 18 Multi-objective ORPD evaluted cases with time-varying demand and uncertain renewable power with STATCOM (IEEE 118 bus system).
Scenario no. | Scenario-based Ploss (MW) | Scenario-based VD (p.u. | Scenario-based VSI | Objective value \(LVDVSI_{obj}\)= \(\lambda _l~P_{loss}\)+\(\lambda _{vd}VD\)+\(\lambda _{vsi}VSI\)) (Case 26) |
---|---|---|---|---|
1 | 112.563 | 0.7723 | 0.1799 | 122.0852 |
2 | 118.452 | 0.7998 | 0.1901 | 128.3511 |
3 | 110.563 | 0.7003 | 0.1634 | 119.2002 |
4 | 98.674 | 0.6896 | 0.1567 | 107.1367 |
5 | 110.563 | 0.7345 | 0.1775 | 119.6832 |
6 | 123.003 | 0.7998 | 0.1799 | 132.7997 |
7 | 111.783 | 0.7562 | 0.1776 | 121.1212 |
8 | 113.674 | 0.7667 | 0.1756 | 123.0973 |
9 | 120.453 | 0.7873 | 0.1811 | 130.1372 |
10 | 132.784 | 0.8113 | 0.1845 | 142.7423 |
11 | 109.897 | 0.6998 | 0.1723 | 118.6181 |
12 | 99.663 | 0.6887 | 0.1698 | 108.2477 |
13 | 113.983 | 0.7564 | 0.1765 | 123.3122 |
14 | 98.672 | 0.7206 | 0.1788 | 107.6664 |
15 | 88.672 | 0.7012 | 0.1699 | 97.3833 |
16 | 130.785 | 0.8011 | 0.1823 | 140.6185 |
17 | 79.537 | 0.6782 | 0.1742 | 88.0606 |
18 | 89.453 | 0.7223 | 0.1778 | 98.4536 |
19 | 123.009 | 0.7889 | 0.1823 | 132.7212 |
20 | 90.675 | 0.7499 | 0.1811 | 99.9854 |
21 | 125.563 | 0.8012 | 0.1878 | 135.4533 |
22 | 90.783 | 0.7167 | 0.1781 | 99.7312 |
23 | 84.784 | 0.7012 | 0.1703 | 93.4993 |
24 | 86.112 | 0.7011 | 0.1745 | 94.8683 |
25 | 100.673 | 0.7671 | 0.1802 | 110.1462 |
 |  | Case 26 |  | |
EAPL=\(\sum \Delta\)sc\(\cdot\)APL= | 95.8387MW | Â | ||
EAVD= \(\sum \Delta\)sc\(\cdot\)AVD= | 0.7275 p.u. | Â | ||
EVSI=\(\sum \Delta\)sc\(\cdot\)VSI= | 0.1774 | Â | ||
\(\lambda _l=1\); | \(\lambda _{vd}=10\); | \(\lambda _{vsi}=10\) | Â | Â |