Abstract
Design of optimal controllers is indeed a multi-objective optimisation problem. Non-dominated sorting in genetic algorithms-II (NSGA-II) is a popular algorithm for solving multi-objective optimisation problems. This paper investigates the application of NSGA-II technique for the tuning of a proportional-integral-derivative (PID) controller for a class of identical two area-thermal power stations including the generation rate constraint (GRC) and boiler nonlinear dynamics as well as the governor dead band (GDB). The design objective is to improve the damping of frequency fluctuation in two-area power system when subjected to a disturbance in their loads. The proposed technique is applied to generate Pareto set of global optimal solutions to the given multi-objective optimisation problem. Further, the two PID controllers in each area are assumed to have identical structures (same parameters). Simulation results using the tuned multi-objectives-based GA PID controller are presented. The effectiveness of the proposed scheme is confirmed using MATLAB-Simulink software.
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