3-D Analytical Model of Armature Reaction Field of IPMSM With Multi-Segmented Skewed Poles and Multi-Layered Flat Wire Winding Considering Current Harmonics

A 3-D analytical model of armature reaction field (ARF) of interior permanent magnet synchronous motor (IPMSM) with multi-segmented skewed poles (MSP) and multi-layered flat wire winding (MFWW) considering current harmonics is proposed in this paper. Firstly, based on the MFWW distribution analysis and the coil magnetic field vector superposition method, the ideal ARF functions of the MFWW considering low-order current harmonics and high-order sideband current harmonics are derived. Secondly, 3-D relative permeance functions caused by the stator slotting effect and the multi-segmented rotor magnetic barriers are presented. Thirdly, 3-D analytical expressions of ARF are obtained by multiplying the ideal ARF functions and the 3-D relative permeance functions. Additionally, the effects of low-order current harmonics, high order sideband current harmonics, MSP, and stator slotting on the spatial orders and frequencies of ARF are analyzed. Finally, the proposed model is verified by finite element method (FEM) and experiment.