Table 7 Numerical results of ST, US, OS and TP for \(\:{\varDelta\:f}_{1}\), \(\:{\varDelta\:f}_{2}\), \(\:{\varDelta\:P}_{tie}\:\)in scenario I
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 | -0.073035 | 0.0059617 | 4.2552 | 0 | -0.069717 | 0.0057511 | 4.3112 | 0 | -0.00038582 | 0.0018043 | 0.21449 |
BDGOA-FOPID | 0.75987 | -0.15731 | 0.0081675 | 4.6938 | 0.57391 | -0.14152 | 0.007674 | 5.6738 | 0 | -0.0054177 | 0.0091183 | 0.41536 |
MWOA-PIDn43 | 1.0491 | -0.2473 | 0.0132 | 4.9600 | 0.9825 | -0.1870 | 0.0129 | 5.0200 | 0 | -0.0022 | 0.0149 | 0.4800 |
MWOA-PID43 | 0.9831 | -0.1284 | 0.0043 | 1.8300 | 0.8073 | -0.1634 | 0.0191 | 1.5100 | 0 | -0.0051 | 0.0214 | 0.7000 |
BDGOA-PID | 2.1187 | -0.1429 | 0.0375 | 6.0129 | 0.9471 | -0.1621 | 0.0305 | 6.1429 | 1.3081 | -0.0125 | 0.0376 | 0.8850 |
BDGOA-PI | 1.4460 | -0.2445 | 0.0626 | 3.3689 | 2.0807 | -0.1876 | 0.0663 | 2.7130 | 1.6788 | -0.0300 | 0.0304 | 0.6720 |
RIME-PI40 | 1.5072 | -0.12799 | 0.020916 | 5.3391 | 2.4135 | -0.18612 | 0.055346 | 1.2999 | 1.1359 | -0.019541 | 0.041653 | 0.8020 |
BWOA-PI44 | 1.8198 | -0.18722 | 0.047009 | 3.7467 | 2.4513 | -0.18671 | 0.076656 | 4.6030 | 1.9896 | -0.032573 | 0.038398 | 0.7620 |
SSA-PI45 | 1.8641 | -0.22156 | 0.061433 | 4.1482 | 2.6092 | -0.21499 | 0.06663 | 5.2023 | 2.1262 | -0.029649 | 0.046477 | 0.8479 |
SFLA-PI46 | 7.9355 | -0.31152 | 0.23905 | 4.5486 | 10.2501 | -0.25917 | 0.19663 | 3.7690 | 8.5916 | -0.067258 | 0.051529 | 0.8820 |
FA-PI34 | 4.8247 | -0.31541 | 0.15791 | 4.3272 | 5.6017 | -0.23017 | 0.12456 | 5.3064 | 3.9307 | -0.048328 | 0.047025 | 0.8520 |
GA-PI34 | 6.6537 | -0.29645 | 0.16298 | 4.9156 | 6.4543 | -0.24313 | 0.15741 | 5.8994 | 4.5750 | -0.049178 | 0.057467 | 0.9520 |
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 | 2.1092 | -0.2020 | 0.0797 | 4.5855 | 2.9217 | -0.2212 | 0.0999 | 5.6420 | 4.3315 | -0.0388 | 0.0536 | 0.9120 |
