An Improved Subdomain Model for Magnetic Field Calculation of SPMSM Considering No-load Leakage Flux
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ORIGINAL ARTICLE
An Improved Subdomain Model for Magnetic Field Calculation of SPMSM Considering No‑load Leakage Flux Zhanyang Yu1 · Yan Li1 · Yongteng Jing1 · Jianmin Du1 · Jin Wang1 Received: 2 April 2019 / Revised: 21 July 2020 / Accepted: 14 September 2020 © The Korean Institute of Electrical Engineers 2020
Abstract Due to big leakage flux, the performance of permanent magnet (PM) motor will be much reduced. Especially for surfacemounted permanent magnet synchronous motor (SPMSM) with similar number of poles and slots, because the zigzag leakage flux is big and varies with the relative positions between stator and rotor, selecting no-load leakage flux coefficient with experience may cause a big calculation error to electromagnetic parameters by equivalent magnetic circuit model. Finiteelement method (FEM) can directly calculate the coefficient, but entire process is time-consuming. Focusing on this problem, an analytical model of no-load leakage flux coefficient is proposed including air-gap leakage flux model and zigzag leakage flux model. Then, an improved subdomain model for magnetic field calculation of SPMSM is established, and the air-gap magnetic flux density, inducing flux linkage and line no-load back electromotive force (EMF) are calculated considering no-load leakage flux. To verify the improved model, an external rotor type SPMSM with 20-poles and 24-slots for bridge crane is designed and manufactured. Finally, the validity of improved model is verified by experimental test. Keywords Leakage flux · Improved subdomain model · SPMSM · Similar number of poles and slots
1 Introduction The SPMSM with similar number of poles and slots is widely used by designers for low cogging torque, high power density, short winding end and good performance in low speed applications [1–4]. To facilitate accurate prediction of electromagnetic parameters, such as back EMF waveform, cogging torque, stator and rotor iron losses, magnet eddy current loss, and vibration, etc., a precise model of magnetic field for SPMSM is required. Compared with FEM, the electromagnetic parameters can be promptly and accurately received by analytical method. At present the analytical method of magnetic field for 2-D is researched by scholars mainly focusing on subdomain model. In [5, 6], the lumped parameter analysis method is proposed to analyze electromagnetic performances, which calculates magnetic field with high efficiency, but the veracity * Zhanyang Yu [email protected] 1
Economic and Technological Development Zone, Shenyang University of Technology, National Engineering Research Center for REPM Electrical Machines, No. 111, Shenliao West Road, Shenyang 110870, Liaoning, China
is greatly limited to the model. In order to consider stator slotting effect, an air-gap relative specific permeance function is presented based on the method of Schwarz-Christoffel transformation [7]. In [8], an analytical subdomain model based on Fourier series method is systematically described. In 2-D polar coordinate system, the solution domain
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