Method for flux linkage optimization of permanent magnet synchronous motor based on nonlinear dynamic analysis

This paper investigates the nonlinear dynamic behavior characteristics of PMSM and its application in the optimization of magnetic flux linkage. A new compact representation of the PMSM nonlinear dynamic differential equation is established to reduce the complexity of system parameters by using the affine transformation method. Accordingly, the numerical simulations under different parameters varying are given and the dynamic behavior of system is analyzed in detail to provide a reference for motor design. Then, according to the practical design and the above analysis results, a 30 kW PMSM 2D/3D model is designed by software ANSYS and the rated parameters and dimensions are obtained correspondingly. In addition, the nonlinear dynamic theory is used to analyze the system with variable ψf\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\psi _f $$\end{document} parameters, and the flux linkage stable region of PMSM is obtained concurrently. Moreover, five situations of PMSM models with different magnetic flux linkages are simulated by using the finite element analysis method. The optimum value of flux linkage and the corresponding permanent magnet specifications and dimensions are obtained to illustrate the effectiveness and feasibility of our theory result.