State space modeling and feedback control of five-phase permanent magnet assisted synchronous reluctance motor under open phase faults

Abstract

This paper presents an analysis of the state space modeling (SSM) and feedback control method of a five-phase permanent magnet assisted synchronous reluctance motor (PMa-SynRM) under open phase faults. Primarily, the reliability of an electrical machine is of prime concern for the safety-critical applications. Therefore, the innovative and reliable control methods are required to derive better fault tolerant operation of a five-phase PMa-SynRM successfully. Classical control methods have been widely accepted to control the electric machines. However, modern control technique is better suited for controlling any multi-input and multi-output (MIMO) system, for example, direct and quadratic axis control of the electric machine. However, the performance of the modern control method has been limitedly studied under different open phase fault conditions in PMa-SynRM. This paper develops a modern control technique which utilizes a state space equivalent model (SSEM) of the PMa-SynRM under different open phase faults. The SSEM is used to develop the state feedback control method. For further analyzing stability criterion a Lyapunov function is used along with detail explanation of the proposed theory. The stability analysis are carried out through extensive MATLAB simulation.