Table 6 Percentage improvements in \({O}_{sh}\) and \({U}_{sh}\) for Case A.1.
Controller structures | \({\Delta {\text{f}}}_{{\text{a}}}\) | \({\Delta {\text{f}}}_{{\text{b}}}\) | \({\Delta {\text{P}}}_{{\text{tie}}}\) | |||
|---|---|---|---|---|---|---|
\({U}_{sh}\) | \({O}_{sh}\) | \({U}_{sh}\) | \({O}_{sh}\) | \({U}_{sh}\) | \({O}_{sh}\) | |
FOPID-optimized via ESAOA18 | 26.93 | 93.07 | 44.72 | 91.39 | 40.73 | 90.15 |
PD-PI-optimized via HHO3 | 55.69 | 38.58 | 82.89 | 10.43 | 78.1 | 23.76 |
FO-(PD-PI)-optimized via MRFO3 | 67.3 | 97.84 | 89.11 | 100 | 87 | 100 |
Fuzzy-PID + (T \({{\varvec{I}}}^{{\varvec{\lambda}}}{{\varvec{D}}}^{{\varvec{\mu}}}\))-optimized via COA | 95.64 | 82.88 | 95.86 | 2.87 | 93.17 | 25.02 |
