Improved Mathematical Model of PMSM Taking Into Account Cogging Torque Oscillations

Abstract

This paper presents an improved mathematical model of Permanent Magnet Synchronous Machine (PMSM) that takes into account the Cogging Torque (CT) oscillations that appear due to the mutual attraction between the Permanent Magnets (PMs) and the anisotropic stator armature. The electromagnetic torque formula in the proposed model contains an analytical expression of the CT calibrated by Finite Element (FE) analysis. The numerical calibration is carried out using a data fitting procedure based on the Simplex Downhill optimization algorithm. The proposed model is characterized by good accuracy and reduced computation effort, its performance being verified by comparison with the classical d-q model of the machine using Matlab/Simulink environment.

Keywords

• finite element methods
• mathematical model
• numerical simulation
• optimization
• permanent magnet machines