Analytical Calculation of Eccentric Surface-Mounted Permanent-Magnet Motor Accounting for Iron Saturation

This article presents an analytical model to predict the performance of eccentric surface-mounted permanent-magnet (ESPM) motor based on the nonlinear conformal mapping and reluctance network hybrid model (NCRHM). The proposed model can reveal the mutual influence of rotor eccentricity on the stator slotting and iron saturation accounting for the distortion of the equivalent current positions and air-gap path among the conformal mappings. The transformation between magnetic voltage drop of iron and equivalent current in the air region (including air-gap and slot region) is employed to consider the increased iron saturation due to the reduced air-gap length. Based on the proposed model, the electromagnetic performance including flux linkage, back electromotive force (EMF), torque, and unbalanced magnetic force (UMF) can be accurately predicted for any kind of rotor eccentricity. In addition, the NCRHM is compared with the complex permeance model (CPM) neglecting both iron saturation and the field distortion in conformal mappings, which exhibits the great advantage of NCRHM for ESPM motor. The excellent accuracy and great efficiency of the proposed model are validated by both finite-element analysis and test results.