Table 9 Numerical results of ST, US, OS and TP for \(\:{\varDelta\:f}_{1}\), \(\:{\varDelta\:f}_{2}\), \(\:{\varDelta\:P}_{tie}\) in scenario II
Algorithm-Controller | \(\:\varDelta\:{\varvec{f}}_{1}\) | \(\:\varDelta\:{\varvec{f}}_{2}\) | \(\:\varDelta\:{\varvec{P}}_{\varvec{t}\varvec{i}\varvec{e}}\) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
ST (s) | US | OS | TP (s) | ST (s) | US | OS | TP (s) | ST (s) | US | OS | TP (s) | |
BDGOA-TDn(1 + PI) (Proposed) | 0.026823 | -0.11846 | 0.0060801 | 4.1918 | 0 | -0.074418 | 0.005725 | 4.3008 | 0 | -0.0022086 | 1.116e-05 | 11.2157 |
BDGOA-FOPID | 0.77014 | -0.15443 | 0.01608 | 1.1723 | 0.6161 | -0.15517 | 0.0074841 | 50.0075 | 0 | -0.0073828 | 0.0043535 | 0.47232 |
MWOA-PIDn43 | 1.0812 | -0.2623 | 0.0112 | 4.9300 | 1.0014 | -0.2072 | 0.0106 | 5.0000 | 0 | -0.0073 | 0.0114 | 0.5600 |
MWOA-PID43 | 1.1656 | -0.1603 | 0.0116 | 10.7300 | 0.9281 | -0.1879 | 0.0082 | 12.5800 | 0 | -0.0172 | 0.0097 | 0.7100 |
BDGOA-PID | 2.2208 | -0.1646 | 0.0414 | 5.7190 | 1.2763 | -0.1988 | 0.0323 | 5.9490 | 0 | -0.0196 | 0.0206 | 0.9687 |
BDGOA-PI | 1.4677 | -0.2258 | 0.0601 | 4.9769 | 2.1030 | -0.2200 | 0.0634 | 2.7822 | 1.7599 | -0.0315 | 0.0199 | 0.7525 |
RIME-PI40 | 1.6219 | -0.1553 | 0.0213 | 5.3726 | 2.4666 | -0.2217 | 0.0459 | 4.7297 | 2.0045 | -0.0296 | 0.0229 | 0.8463 |
BWOA-PI44 | 1.7001 | -0.1802 | 0.0456 | 3.7444 | 2.4345 | -0.2218 | 0.0696 | 4.6570 | 2.0241 | -0.0338 | 0.0225 | 0.8233 |
SSA-PI45 | 1.9061 | -0.2326 | 0.0608 | 4.2120 | 2.6423 | -0.2575 | 0.0695 | 3.4658 | 2.3186 | -0.0379 | 0.0325 | 0.9276 |
SFLA-PI46 | 5.2736 | -0.2881 | 0.2101 | 4.5396 | 10.2835 | -0.2738 | 0.2186 | 3.8152 | 8.5521 | -0.0647 | 0.0453 | 5.2496 |
FA-PI34 | 4.8609 | -0.3063 | 0.1565 | 4.3728 | 5.6082 | -0.2757 | 0.1376 | 3.6128 | 2.5018 | -0.0505 | 0.0364 | 0.9442 |
GA-PI34 | 5.9149 | -0.3017 | 0.1759 | 4.9205 | 6.4615 | -0.2946 | 0.1499 | 5.9553 | 4.5397 | -0.0546 | 0.0453 | 1.0463 |
GTO-PI41 | 1.5515 | -0.1382 | 0.0218 | 5.3192 | 2.4046 | -0.1863 | 0.0489 | 4.6611 | 1.1134 | -0.0191 | 0.0408 | 0.7920 |
WOA-PI43 | 2.1045 | -0.2196 | 0.0974 | 4.5892 | 5.7760 | -0.2671 | 0.1017 | 5.6949 | 4.3107 | -0.0479 | 0.0377 | 0.9897 |
