Analytical Model of Air-Gap Flux Density of Permanent Magnet Synchronous Motor Based on Frozen Permeability Method

For permanent magnet synchronous motors (PMSMs), accurately expressing the distribution of air-gap flux density is very important for the motor operation analysis. An analytical method for solving the air-gap flux density is proposed in this paper. Firstly, starting from the flux linkage, the relationship between the air-gap flux density and flux linkage is established. The permanent magnet component and armature component of the flux linkage are separated by frozen permeability (FP) method. Then the analytical model of the air-gap flux density is established based on the flux linkage component. Finally, the correctness of the analytical model is verified by the finite element simulation.