Biogeography-Based Optimized Fractional-Order Fuzzy PID Controller for Automatic Generation Control of a Two-Area Interconnected Power System

In this paper‎, ‎an efficient optimized fractional-order fuzzy proportional-integral-derivative controller (FOFPID) based on biogeography-based optimization (BBO) method is designed for automatic generation control of a two-zone four unit hydro-thermal power system. ‎Studies were conducted in two scenarios‎. ‎In the first scenario‎, ‎the simulation was carryout for power system with pure-thermal units and in the second scenario; the simulation was performed for hydro-thermal power system‎. ‎In each scenario‎, ‎Ten percent load changes have occurred in both areas‎. ‎Moreover‎, ‎the simulations were also performed by applying the conventional PI‎, ‎PID‎, ‎and the hybrid PSO-PS based Fuzzy-PI controllers for two aforementioned scenarios‎. The numerical simulation results illustrated that the proposed optimized control scheme outperforms the other controllers such as the conventional PI‎, ‎PID‎, ‎and the hybrid PSO-PS based Fuzzy-PI controllers under uncertainties in terms of minimizing frequency deviations‎. ‎Such that we had a decrease for the Integral Square Time Square Error (ISTSE) and settling time‎, ‎with a 15% and 43% reduction‎, ‎respectively‎. ‎Moreover‎, ‎the simulation results were also demonstrate the effectiveness and the convergence of the BBO algorithm‎.