A new method for maximum power extraction using a singular perturbation theory for a PMSG‐based wind turbine

Abstract

This study uses the singular perturbation theory to obtain a reduced‐order subsystem for a wind‐energy conversion system (WECS) based on use of a permanent magnet synchronous generator (PMSG) to extract maximum power from a WECS. The system consists of a variable‐speed wind turbine directly coupled to a PMSG, a diode bridge rectifier, a DC‐to‐DC boost converter, and a battery bank. Singular perturbation theory is used to decompose the dynamic system into slow and fast time scales. The optimal controller is then designed for singular and original systems and applied to the original system to achieve maximum power from a PMSG. Simulations using MatLab/Simulink show the effectiveness of the proposed control strategy for a PMSG based on the singular perturbation theory. © 2016 American Institute of Chemical Engineers Environ Prog, 36: 586–594, 2017