三段式Halbach阵列永磁电机解析建模与研究

杨明磊; 钟再敏; 邵仲书; 陈辛波

doi:10.7652/xjtuxb202311013

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三段式Halbach阵列永磁电机解析建模与研究

—————————————————————— | 更新时间：2025-12-08

- 三段式Halbach阵列永磁电机解析建模与研究
- Analytical Modeling and Research of Three-Segment Halbach Array Permanent Magnet Motor
- 西安交通大学学报 2023年57卷第11期页码：130-141
- 作者机构：
  
  同济大学汽车学院,上海,201804
- 作者简介：
  
  : 2023-03-26。作者简介: 杨明磊(1993—),男,博士生
  钟再敏(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(52275123)。
- 基金信息：
  
  : 2023-03-26。作者简介: 杨明磊(1993—),男,博士生;钟再敏(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(52275123)。
- DOI：10.7652/xjtuxb202311013
  中图分类号： TM351
- 网络首发：2023-11-10，
  
  纸质出版：2023
- 稿件说明：
移动端阅览
杨明磊, 钟再敏, 邵仲书, 等. 三段式Halbach阵列永磁电机解析建模与研究[J]. 西安交通大学学报, 2023,57(11):130-141.

杨明磊, 钟再敏, 邵仲书, et al. Analytical Modeling and Research of Three-Segment Halbach Array Permanent Magnet Motor[J]. 2023, 57(11): 130-141.
杨明磊, 钟再敏, 邵仲书, 等. 三段式Halbach阵列永磁电机解析建模与研究[J]. 西安交通大学学报, 2023,57(11):130-141. DOI： 10.7652/xjtuxb202311013.

杨明磊, 钟再敏, 邵仲书, et al. Analytical Modeling and Research of Three-Segment Halbach Array Permanent Magnet Motor[J]. 2023, 57(11): 130-141. DOI： 10.7652/xjtuxb202311013.

摘要

针对传统子域模型在分析电机电磁性能时无法考虑软磁材料磁导率的缺陷

提出了一种考虑软磁材料磁导率为具体值的三段式Halbach阵列永磁电机多层解析模型。根据内部激励源和媒介的不同

将永磁电机全域划分成Halbach阵列永磁体层、气隙层、定子齿尖层和电枢绕组层4类磁场求解层。利用柯西乘积和复数形式的傅里叶级数来描述磁场求解层中媒介磁导率分布情况。基于麦克斯韦方程组建立了每个磁场求解层的拉普拉斯方程或泊松方程

结合边界条件求解出每个磁场求解层的磁矢位。利用多层解析模型计算了电机的气隙磁密、空载反电动势和输出转矩等电磁特性

并与有限元模型计算结果进行了对比。计算结果表明:多层解析模型和有限元模型计算得到的气隙磁密波形吻合得很好

两者的空载反电动势峰值和输出转矩平均值的相对误差均小于1%

证明了多层解析模型的正确性。最后利用多层解析模型研究了槽开口宽度、磁极宽度和充磁夹角对电机输出转矩的影响规律

给出了输出转矩最优的设计方案。仿真结果表明:优化后的输出转矩脉动削减了75.7%

证明所提出的多层解析模型不仅计算准确而且计算速度快

在电机的初始设计和电磁性能影响规律的探究上具有明显的优势。

Abstract

This paper proposes a multi-layer analytical model of a three-segment Halbach array permanent magnet motor that considers the specific value of the permeability of soft magnetic material. The subdomain model has the defect that the permeability of soft magnetic materials cannot be considered when analyzing the electromagnetic performance of the motor. This is a major challenge that the proposed model aims to address. The full domain of the permanent magnet motor is divided into four types of magnetic field solution layers: Halbach array permanent magnet layer

air gap layer

stator tooth tip layer

and armature winding layer

based on different excitation sources and mediums. The distribution of the medium magnetic permeability in the magnetic field solution layer is described using the Cauchy product and complex Fourier series. The Laplace's equations or Poisson's equations of each solution layer are established based on Maxwell's equations

and the magnetic vector potential of each solution layer is solved by combining the boundary conditions. The electromagnetic characteristics of the motor

such as air gap flux density

no-load back EMF and output torque

are calculated using the multi-layer analytical model and compared with the results obtained from the finite element model(FEM). The results show that the air gap flux density waveforms calculated using the multi-layer analytical model and FEM are in good agreement. The relative errors of the peak no-load back electromotive force and average output torque of both are less than 1%

confirming the correctness of the multi-layer analytical model. Finally

this research examines the influence of slot opening width

pole width and magnetizing angle on the output torque using the multi-layer analytical model. It offers the optimal design solution for output torque

which can reduce the output torque ripple by 75.7%. The proposed multi-layer analytical model is not only accurate but also fast in calculation

which has obvious advantage in the initial design of the motor and the study of the influence law of electromagnetic performance.

关键词

Keywords

references

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