Approximation of Stand-alone Boost Converter Enabled Hybrid Solar-Photovoltaic Controller System

This proposal is presenting a novel determination of reduced-order (RO) model for higher-order (HO) controller of boost converter enabled hybrid solar-photovoltaic (SPV) stand-alone system. In this work, controller of HO-SPV system is approximated to RO-SPV model by minimizing steady-state errors gain as time-moments (T-Ms) and transient-state errors gain as Markov-parameters (M-Ps) of the HO-SPV system and desired RO-SPV model. Firstly, T-Ms and M-Ps of HO-SPV controller system and RO-SPV controller model are exploited to formulate the fitness function. The minimization of formulated fitness function is done by employing grey-wolf (GW) optimization algorithm. The optimization is accomplished by satisfying the constraints of minimization of steady-state error and confirming the stability of RO model. The matching of steady-state between HO-SPV controller and RO-SPV model is accomplished by matching of first T-Ms of HO-SPV controller and RO-SPV model, whereas Hurwitz criterion is introduced to confirm the stability of RO-SPV model. The step along with impulse and Bode plots is presented to demonstrate the effectiveness and applicability of the proposed method. The comparative analysis by considering time-domain (TD) specifications and error indices are also provided and discussed for validation of proposed methodology for better understanding.