Torque Modeling and Analysis of Permanent Magnet Vernier Motor Based on the Spatial Attenuation Characteristics of Permeance

WANG Bo; ZHAO Wenjun; DAI Shangjian; WANG Rongxin; CHENG Ming; HUA Wei; {{custom_author.name_en}}

doi:10.13334/j.0258-8013.pcsee.250638

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Torque Modeling and Analysis of Permanent Magnet Vernier Motor Based on the Spatial Attenuation Characteristics of Permeance

更新时间：2026-10-19

- Torque Modeling and Analysis of Permanent Magnet Vernier Motor Based on the Spatial Attenuation Characteristics of Permeance
- Vol. 46, Issue 8, Pages: 3419-3428(2026)
- 作者机构：
  
  东南大学电气工程学院,江苏省,南京市,210096
- 作者简介：
- 基金信息：
- DOI：10.13334/j.0258-8013.pcsee.250638
  CLC：
- Received：27 August 2025，
  
  Published：2026
- 稿件说明：
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WANG Bo, ZHAO Wenjun, DAI Shangjian, et al. Torque Modeling and Analysis of Permanent Magnet Vernier Motor Based on the Spatial Attenuation Characteristics of Permeance[J]. 2026, 46(8): 3419-3428.
DOI：

WANG Bo, ZHAO Wenjun, DAI Shangjian, et al. Torque Modeling and Analysis of Permanent Magnet Vernier Motor Based on the Spatial Attenuation Characteristics of Permeance[J]. 2026, 46(8): 3419-3428. DOI： 10.13334/j.0258-8013.pcsee.250638.

摘要

为快速评估表贴式永磁游标电机转矩特性，该文构建其精确的电磁解析模型。首先，基于保角映射分析气隙空间磁导分布，结合磁场调制理论建立气隙磁场谐波模型，揭示空间磁场谐波与磁导分布的规律；然后，建立包含空间分布调制效应的电磁转矩解析模型，定量表征磁导谐波分量与电磁转矩的空间耦合特性；进一步，采用气隙分层法分析开槽效应引起的气隙磁场空间衰减特性，并将此特性引入所提转矩解析模型。研究结果表明，与传统解析法相比，考虑空间衰减特性后能够降低计算误差，且解析法较传统有限元法计算效率提升89%。所提模型为快速准确评估永磁游标电机转矩特性奠定基础。

Abstract

In order to quickly evaluate the torque characteristics of surface mounted permanent magnet vernier motors

this paper constructs an accurate electromagnetic analytical model. Firstly

the spatial permeance distribution of the air gap is analyzed based on conformal mapping

and the magnetic field harmonic model is established based on the theory of magnetic field modulation to reveal the distribution law of spatial magnetic field harmonic and permeance. Then

this paper establishes an analytical model of electromagnetic torque including spatial distribution modulation effect to quantitatively characterize the spatial coupling characteristics of harmonic components of magnetic permeance and electromagnetic torque. Furthermore

the space attenuation characteristic of the air gap magnetic field caused by the slot effect is analyzed by using the air gap stratification method

and the characteristic is introduced into the torque analytical model. The results show that compared with the traditional analytical method

the calculation error can be reduced by considering the spatial attenuation characteristics

and the calculation efficiency of the analytical method is increased by 89%. The proposed model lays a foundation for evaluating the torque characteristics of permanent magnet vernier motors quickly and accurately.

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