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浙江大学学报(工学版)
浙江大学学报(工学版)  2024, Vol. 58 Issue (10): 2182-2191    DOI: 10.3785/j.issn.1008-973X.2024.10.022
电子与电气工程     
新型盘式行星永磁电机的等效动态磁网络模型
梁志文(),刘欣*()
天津工业大学 天津市现代机电装备技术重点实验室，天津 300387
Equivalent dynamic magnetic network model of novel disc planetary permanent magnet motor
Zhiwen LIANG(),Xin LIU*()
Tianjin Key Laboratory of Modern Electromechanical Equipment Technology, Tiangong University, Tianjin 300387, China
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摘要：

为了解决传统永磁电机低速直驱能力弱和输出单一的问题，提出新型盘式行星永磁电机. 所提电机集盘式电机与行星驱动于一体，具有空间磁场结构复杂、低速直驱和多自由度动力输出的特点. 分析所提电机的电磁性能，研究盘式转子与行星定子不均匀气隙的动态磁路模型，利用径向分环法将三维磁场模型分环为二维模型. 考虑气隙不均、定子开槽和漏磁的影响，引入不均匀气隙位置分布函数，建立所提电机的等效气隙磁阻模型和等效漏磁阻模型. 划分盘式转子和行星定子间的磁场区域，将动态磁路模型转化为时变的等效磁网络拓扑结构，计算得到电机的磁链和空载反电势. 通过有限元和样机实验验证动态磁网络模型的有效性. 相比三维有限元仿真，等效磁网络提高了计算效率，便于后续的结构参数分析和优化，为盘式行星永磁电机的磁场建模和分析提供了参考.
关键词： 不均匀气隙;  盘式行星永磁电机;  径向分环;  气隙分布函数;  等效磁网络    
Abstract:

A novel disc planetary permanent magnet motor was proposed to resolve the problem of weak low-speed direct drive capability and the single output of traditional permanent magnet motors. Combining a disc motor with a planetary drive, the proposed motor has the characteristics of a complex spatial magnetic field structure, low-speed direct drive, and multi-degree freedom power output. The electromagnetic performance of the proposed motor and the dynamic magnetic circuit model of the uneven air gap between the disc rotor and the planetary stator were analyzed, and the 3D magnetic field model of the motor was divided into 2D models by the radial sectors-of-rings method. Considering the influence of uneven air gap, stator slots, and leakage flux, the equivalent air gap reluctance and equivalent leakage flux reluctance models of the proposed motor were established by introducing the uneven air gap position distribution function. The magnetic field area between the disc rotor and the planetary stator was divided, and the dynamic magnetic circuit model was transformed into a time-varying equivalent magnetic network topology. The flux linkage and no-load back electromotive force of the motor were calculated. The validity of the dynamic magnetic network model was verified by finite element analysis and prototype experiment. Compared with 3D finite element simulation, the equivalent magnetic network is convenient for the analysis and optimization of structure parameters, and it improves the calculation efficiency and provides reference for a magnetic field modeling and analysis of a disc planetary permanent magnet motor.
Key words: uneven air gap    disc planetary permanent magnet motor    radial sectors-of-rings    air gap distribution function    equivalent magnetic network
收稿日期: 2023-06-29 出版日期: 2024-09-27
CLC:  TM 351  
基金资助: 国家自然科学基金资助项目（51875408）；天津市研究生科研创新项目（2021YJSB229）.
通讯作者: 刘欣     E-mail: 2131050710@tiangong.edu.cn;liuxin@tiangong.edu.cn
作者简介: 梁志文（1999—），男，硕士生，从事新型盘式行星永磁电机电磁特性研究. orcid.org/0009-0000-5356-8343. E-mail：2131050710@tiangong.edu.cn
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引用本文:

梁志文,刘欣. 新型盘式行星永磁电机的等效动态磁网络模型[J]. 浙江大学学报(工学版), 2024, 58(10): 2182-2191.

Zhiwen LIANG,Xin LIU. Equivalent dynamic magnetic network model of novel disc planetary permanent magnet motor. Journal of ZheJiang University (Engineering Science), 2024, 58(10): 2182-2191.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2024.10.022    或    https://www.zjujournals.com/eng/CN/Y2024/V58/I10/2182

图 1  盘式行星永磁电机结构
图 2  单个盘式转子与行星定子的分环模型
图 3  定、转子的分环模型参数
图 4  起始位置的等效磁路模型
图 5  区域1中的磁通路径及等效磁路模型
图 6  区域2中的磁通路径及等效路模型
图 7  区域3中的磁通路径及等效磁路模型
图 8  区域4中的磁通路径及等效磁路模型
图 9  不同临界位置的磁密云图
图 10  不均匀气隙长度的等效模型
图 11  行星定子齿槽气隙磁路模型
图 12  考虑槽口时的气隙长度对比
图 13  气隙磁通模型(局部)
图 14  4种典型的气隙磁通模型
图 15  气隙漏磁模型
图 16  漏磁的等效磁网络
图 17  一对极下的等效磁网络模型
图 18  磁链极值的行星定子磁场分布
图 19  一对极在单个电周期下的磁链波形对比
方法名称NgTs/s
等效磁网络法32318
三维有限元法16 1571661
表 1  不同有限元分析方法的计算资源比较
图 20  样机及实验平台
参数数值参数数值
行星定子外径Dsout/mm60行星轮轴向长度la/mm40
盘式转子外径Drout/mm180盘式转子磁齿数z18
行星转子外径Dpout/mm60行星轮磁齿数z24
永磁体厚度hpm/mm5行星定子极数4
永磁体长度lm/mm40绕组匝数100
行星轮4最小气隙长度δ0/mm1
表 2  电机设计的主要参数
图 21  一对极在单个电周期下的反电势波形对比
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