A Novel Analytical Frozen Permeability Method for Saturated Surface-Mounted Permanent Magnet Machines

Nowadays, frozen permeability (FP) has emerged as an advanced and popular method for analyzing permanent magnet (PM) machines, facilitating the separation of open-circuit and on-load components under high saturation conditions. However, due to the necessity of storing permeance at various positions of the core material, the majority of these methods are implemented based on the finite element method. In this paper, we propose a new algorithm for analytically realizing the FP process, which is based on an improved two-dimensional Fourier model and a parameterized nonlinear lumped magnetic circuit model. The proposed method enables rapid separation of the on-load magnetic field, significantly reducing freezing time with minimal magnetoresistance number. Additionally, the separation of the on-load PM magnetic field, back EMF, and inductance of two saturated SPM machines using the proposed model validates the effectiveness and speed advantages of the algorithm. Furthermore, a correlation analysis of the salient characteristics exhibited by the surface-mounted PM topology after high saturation is conducted.