Time Efficient Nonlinear Spatial Harmonics Modelling Method of Permanent Magnet Synchronous Machines in Polar Coordinates

Paper in proceeding, 2025

To time-efficiently model the nonlinear characteristic in permanent magnet synchronous machines (PMSMs), a novel spatial harmonics modelling method is proposed in this paper. The flux mapping method both in Cartesian coordinates and polar coordinates are discussed. The inversion method of flux maps and circuit model implementation are also introduced. In addition, the nonlinear increase of finite element method (FEM) solving time in JMAG, which may influence the mapping time, is measured. The results show a significant mapping time reduction utilizing the proposed method, and it captures the saturation and spatial harmonics while maintains high fidelity.