Abstract
In this study, a new implementation of the slime mould algorithm (SMA) is proposed to find the optimal parameters of proportional-integral (PI) controller and enhance the frequency stability in a two-area interconnected power grid combining thermal generator unit and photovoltaic (PV) system. Moreover, the design process of the considered power system takes the maximum power point tracking (MPPT) of the PV into its consideration. Furthermore, a time-domain based on the integral of time multiply absolute error (ITAE) is recognized for the robust design of the PI controller parameters exploiting the proposed SMA. The comparative results demonstrate the robustness of the proposed SMA-PI controller among all control methods (e.g. WOA-PI controller, GA-PI controller, and FA-PI controller) in terms of maximum undershoot, maximum overshoot, and maximum settling time under different operating condition (system parameters variations, and load disturbance).