A bearingless permanent magnet synchronous motor(BPMSM) having two sets of stator windings with different poles-pairs, namely torque windings and suspension force windings, so there are two types of air-gap magnetic fields, torque windings’ and suspension force windings’, with different poles-pairs in the motor. The analysis of the flux linkage intersection between the two sets of windings is the foundation of setting up the precise mathematical model of the motor. Through the application of mechanical/electrical transformation method, this paper refers to a detailed analysis of the flux linkage intersection between torque windings and suspension force windings. And proved that when the pole-pairs of torque windings and suspension force windings PM=1 ,PB=2, respectively(or PB=1, PM=2) , magnetic chain of the torque winding and suspension force winding are mutual coupling.While both of the pole-pairs of torque windings and suspension force windings PM and PB are greater than or equal to 2 and meet the relationship：PB= PM±1, the phenomenon of the flux linkage intersection between torque windings and suspension force windings will not exit any more.This method of proof is simple, intuitive and easy to understand with a clear concept.What’s more ,the general mathematical model of BPMSM are setted up based on the conclusion proved abrove, under the situation that both of the pole-pairs of torque windings and suspension force windings PM and PB are greater than or equal to 2 and meet the relationship：PB= PM±1. At last, general mathematical model presented in this paper for BPMSM provides a theoretical basis for simulation and experimental study of BPMSM.
Key words
BPMSM /
magnetic chain analysis /
mathematical modeling /
simulation and experimental results study
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