Table 11 Specifications of the analyzed system's transient response for scenario B.
Controller structures | Considered dynamic response of (\({\Delta \mathbf{f}}_{\mathbf{a}\boldsymbol{ }})\) | Considered dynamic response of (\({\Delta \mathbf{f}}_{\mathbf{b}\boldsymbol{ }})\) | Considered dynamic response of (\({\Delta \mathbf{P}}_{\mathbf{t}\mathbf{i}\mathbf{e}}\)) |
|---|---|---|---|
PD-PI-optimized via HHO3 | \({O}_{sh}\)= 28.742 | \({O}_{sh}\)= 28.814 | \({O}_{sh}\)= 4.082 |
\({U}_{sh}\) = − 7.54 | \({U}_{sh}\) = − 6.32 | \({U}_{sh}\) = − 4.036 | |
FO-(PD-PI)-optimized via MRFO3 | \({O}_{sh}\)= 17.572 | \({O}_{sh}\)= 17.774 | \({O}_{sh}\)= 2.559 |
\({U}_{sh}\) = − 5.395 | \({U}_{sh}\) = − 1.539 | \({U}_{sh}\) = − 2.45 | |
Fuzzy-PID + (T \({I}^{\lambda }{D}^{\mu }\))-optimized via COA | \({O}_{sh}\)= 8.115 | \({O}_{sh}\)= 8.082 | \({O}_{sh}\)= 1.129 |
\({U}_{sh}\) = − 2.334 | \({U}_{sh}\) = − 0.7005 | \({U}_{sh}\) = − 1.167 |
