ABSTRACT
This chapter considers the model reduction and development of a controller scheme of a single machine infinite bus (SMIB) system using a heuristic approach, namely the Grey Wolf Optimizer (GWO). The unknown parameters of the desired fixed structure of the reduced-order model are determined using the grey wolf algorithm, applied as a constrained optimisation problem to handle dc gain, minimum-phase and stability issues together in the reduction scheme. The step and Bode responses of the reduced system show a very close resemblance to the parent plant model. The proposed model delivers excellent results in terms of the five popular error indices. Non-parametric tests performed on the model also validate the test outcomes with respect to the other metaheuristic approaches used for comparison. The PID controller parameters of the reduced-order model are also found with the help of the GWO on an approximate model matching (AMM) framework. Moreover, the suggested technique is compared with manifold metaheuristic algorithms reported recently in the literature. The proposed controller performs better than these standard algorithms in numerical terms. This chapter also provides some future recommendations.
