Equivalent dynamic magnetic network model of novel disc planetary permanent magnet motor

doi:10.3785/j.issn.1008-973X.2024.10.022

Journal of ZheJiang University (Engineering Science)

2024, Vol. 58

Issue (10): 2182-2191 DOI: 10.3785/j.issn.1008-973X.2024.10.022

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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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

Received: 29 June 2023 Published: 27 September 2024

CLC:

TM 351

Fund: 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）.

Corresponding Authors: Xin LIU E-mail: 2131050710@tiangong.edu.cn;liuxin@tiangong.edu.cn

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Cite this article:

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.

URL:

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

新型盘式行星永磁电机的等效动态磁网络模型

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

Fig.1 Structure of disc planetary permanent magnet motor

Fig.2 Sectors-of-rings model of single disc rotor and planetary stator

Fig.3 Sectors-of-rings model parameters of stator and rotor

Fig.4 Equivalent magnetic circuit model of initial position

Fig.5 Flux path and equivalent magnetic circuit model in region 1

Fig.6 Flux path and equivalent magnetic circuit model in region 2

Fig.7 Flux path and equivalent magnetic circuit model in region 3

Fig.8 Flux path and equivalent magnetic circuit model in region 4

Fig.9 Magnetic dense cloud at different critical positions

Fig.10 Equivalent model of uneven air gap length

Fig.11 Air gap magnetic circuit model of planetary stator slot

Fig.12 Air gap length comparison considering notch

Fig.13 Air gap flux model (local)

Fig.14 Four typical air gap flux models

Fig.15 Air gap leakage flux model

Fig.16 Equivalent magnetic network of leakage flux

Fig.17 Equivalent magnetic network model for one pair of poles

Fig.18 Planetary stator magnetic field distribution for flux linkage extreme values

Fig.19 Comparison of flux linkage waveform for one pair of poles in one electrical cycle

Tab.1 Comparison of calculation resources for different finite element analysis methods

Fig.20 Prototype and experimental platform

Tab.2 Main parameters of motor design

Fig.21 Comparison of back electromotive force waveform for one pair of poles in one electric cycle


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