Table 7 Specifications of the analyzed system's transient response for scenario A.2.
Controller structures | Considered dynamic response of (\({\Delta {\text{f}}}_{{\text{a}} })\) | Considered dynamic response of (\({\Delta {\text{f}}}_{{\text{b}} })\) | Considered dynamic response of (\({\Delta {\text{P}}}_{{\text{tie}}}\)) |
---|---|---|---|
PD-PI-optimized via HHO 3 | \({O}_{sh}\)= 10.121 | \({O}_{sh}\)= 1.52 | \({O}_{sh}\)= 0.5469 |
\({U}_{sh}\) = − 15.181 | \({U}_{sh}\) = − 2.28 | \({U}_{sh}\) = − 0.82035 | |
FO-(PD-PI)-optimized via MRFO3 | \({O}_{sh}\)= 7.45 | \({O}_{sh}\)= 0.94914 | \({O}_{sh}\)= 0.31477 |
\({U}_{sh}\) = − 11.203 | \({U}_{sh}\) = − 1.451 | \({U}_{sh}\) = − 0.48686 | |
Fuzzy-PID + (T \({I}^{\lambda }{D}^{\mu }\))-optimized via COA | \({O}_{sh}\)= 1.12 | \({O}_{sh}\)= 0.3051 | \({O}_{sh}\)= 0.1670 |
\({U}_{sh}\) = − 1.817 | \({U}_{sh}\) = − 0.5570 | \({U}_{sh}\) = − 0.2364 |