Abstract
A bearingless permanent magnet synchronous motor (BPMSM) has two sets of stator windings, torque windings and suspension force windings. By analyzing the flux linkage intersection between the two sets of windings, a method of transforming mechanical coordinates to electrical coordinates is put forward. According to this method, flux linkage equations and voltage equations of the two stator windings are derived. The electromagnetic torque equation of the BPMSM is derived based on the analysis of the role of Lorentz force in the BPMSM. After analyzing the mathematical formula of various sort radial forces in the BPMSM, a complete function of radial suspension forces for the BPMSM is obtained. Finally, an experimental system control diagram and some test results are discussed. This mathematical model provides a theoretical foundation for BPMSM simulation study, experiment waveform analysis and structure design.
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