System identification of photovoltaic system based on fractional-order model

Abstract

A fractional-order model of a photovoltaic (PV) system is proposed in this paper. The system identification method is used to construct an accurate dynamical model for a PV system, a real PV module and boost converter are used to collect experimentally input-output data for the identification process. A black box modeling is considered for system identification to obtain a transfer function, without needing to make mathematical analysis. the input-output data which is measured is fitted by the least-square curve fitting method, and the parameters of the curve fitting are optimized by the Levenberg-Marquardt algorithm. the proposed fractional-order model is employed with the MATLAB and Simulink software to obtain a fractional order PID controller, which is used to extract maximum power from the PV system.