Improved Magnetic Flux Linkage Calculation Model for Flux-reversal Permanent Magnet Machines Based on Air-gap Filtering Effect and Stator Slotting Effect

YAN Yan; GENG Chenxuan; CHEN Hao; GAO Yuting; QU Ronghai; SHI Tingna

doi:10.13334/j.0258-8013.pcsee.242149

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Improved Magnetic Flux Linkage Calculation Model for Flux-reversal Permanent Magnet Machines Based on Air-gap Filtering Effect and Stator Slotting Effect

更新时间：2026-09-19

- Improved Magnetic Flux Linkage Calculation Model for Flux-reversal Permanent Magnet Machines Based on Air-gap Filtering Effect and Stator Slotting Effect
- Vol. 45, Issue 20, Pages: 8202-8212(2025)
- 作者机构：
  
  1. 浙江大学电气工程学院,浙江省,杭州市,310027
  2. 武汉大学电气与自动化学院,湖北省,武汉市,430072
  3. 华中科技大学电气与电子工程学院,湖北省,武汉市,430074
- 作者简介：
- 基金信息：
- DOI：10.13334/j.0258-8013.pcsee.242149
  CLC：
- Published：2025
- 稿件说明：
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YAN Yan, GENG Chenxuan, CHEN Hao, et al. Improved Magnetic Flux Linkage Calculation Model for Flux-reversal Permanent Magnet Machines Based on Air-gap Filtering Effect and Stator Slotting Effect[J]. 2025, 45(20): 8202-8212.
DOI：

YAN Yan, GENG Chenxuan, CHEN Hao, et al. Improved Magnetic Flux Linkage Calculation Model for Flux-reversal Permanent Magnet Machines Based on Air-gap Filtering Effect and Stator Slotting Effect[J]. 2025, 45(20): 8202-8212. DOI： 10.13334/j.0258-8013.pcsee.242149.

摘要

磁通反向永磁电机的磁链计算是其电磁特性分析的关键。然而，传统磁链模型的计算结果与有限元仿真结果存在较大误差，给进一步精确定量分析磁通反向永磁电机的磁场调制效应带来困难。文中提出一种改进型磁链计算模型，以减少理论计算与有限元仿真的误差。首先，分析传统磁链模型计算误差产生的原因；然后，提出基于气隙滤波效应和定子开槽效应的磁通反向永磁电机改进磁链计算模型；最后，利用该模型定量分析磁通反向永磁电机各阶次磁密谐波对磁链及转矩的贡献情况，进一步揭示磁通反向永磁电机的磁场调制效应。结果表明，采用传统磁链计算模型得到的计算结果与有限元仿真结果的误差为14.7%，而采用改进型磁链计算模型后误差降低至0.6%。通过有限元仿真与样机实验验证改进模型的精确性。

Abstract

The calculation of magnetic flux linkage in flux-reversal permanent magnet machines is critical for analyzing their electromagnetic characteristics. However

traditional magnetic flux linkage models exhibits significant discrepancies compared with finite-element simulation results

making it challenging to accurately quantify the magnetic flux-modulation effects in flux-reversal permanent magnet machines. In this article

an improved magnetic flux linkage calculation model is proposed to reduce the errors between theoretical calculations and finite element simulations. Firstly

the sources for calculation errors in traditional magnetic flux linkage models are demonstrated. Then

an improved magnetic flux linkage calculation model based on the air-gap filtering effect and stator slotting effect in flux-reversal permanent magnet machines is proposed. Finally

using this model

the contributions of various harmonic magnetic flux components to the magnetic flux linkage and torque are quantitatively analyzed. These results further reveal the magnetic flux-modulation effect in flux-reversal permanent magnet machines. The error between the traditional magnetic flux linkage calculation model and finite element simulation results is 14.7%

whereas the improved magnetic flux linkage calculation model reduces the error to 0.6%. The improved model is validated and its accuracy is verified through finite element simulations and experiments.

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