多边形永磁体磁场的数值分析
Numerical Analysis of Magnetic Field of Polygonal Permanent Magnet
摘要: 永磁体的磁场分布是其工程应用的基础。本文以六边形永磁体和八边形永磁体为例，应用等效面电流法对多边形永磁体的磁场分布进行数值分析，经有限元仿真结果验证了数值表达式的正确性。分析了八边形永磁体较相应尺寸的矩形永磁体的磁场分布优势。
Abstract: The magnetic field distribution of permanent magnet is the basis of its engineering application. In this paper, taking hexagon permanent magnet and octagon permanent magnet as examples, the equivalent surface current method is used to analyze the magnetic field distribution of polygon permanent magnet. The finite element simulation results verify the correctness of the numerical expression. The advantages of magnetic field distribution of octagonal permanent magnet com-pared with rectangular permanent magnet of corresponding size are analyzed.
文章引用：宋涛, 何志琴. 多边形永磁体磁场的数值分析[J]. 理论数学, 2023, 13(1): 55-66. https://doi.org/10.12677/PM.2023.131006

参考文献

[1] 闫梁, 万本例, 胡斌, 等. 基于双轴TMR电磁传感器的裂纹检测方法研究[J]. 仪器仪表学报, 2021, 42(9): 106-114. [Google Scholar] [CrossRef] 
[2] 余亚东, 宋凯, 李光海, 等. 多通道低频电磁传感器的仿真及优化[J]. 仪器仪表学报, 2019, 40(10): 19-27. [Google Scholar] [CrossRef] 
[3] Han, D., Shinshi, T., Aauma, N., et al. (2019) An In-Plane, Large-Stroke, Multipole Electromagnetic Microactuator Realized by Guideways Stacking Mechanism. Sensors and Actuators A: Physical, 298, Article ID: 111563. [Google Scholar] [CrossRef] 
[4] Tisnes, S.D., Shi, Z., Herth, E., et al. (2020) Long-Range Planar Conveyance Device Based on a Digital Electromagnetic Actuator Array. 2020 Symposium on Design, Test, Integration & Packaging of MEMS and MOEMS (DTIP), Lyon, 15-26 June 2020, 1-5. [Google Scholar] [CrossRef] 
[5] 徐奇伟, 龙胜, 程智浩, 张艺璇, 支钞. 基于改进粒子群算法的微直线电机动子位置辨识策略研究[J]. 电机与控制学报, 2021, 25(8): 56-66. [Google Scholar] [CrossRef] 
[6] Furlani, E.P. (2001) Permanent Magnet and Electromechanical Devices—Materials, Analysis and Applications. Academic Press, San Diego, 212-216. [Google Scholar] [CrossRef] 
[7] 苟晓凡, 杨勇, 郑晓静. 矩形永磁体磁场分布的解析表达式[J]. 应用数学和力学, 2004(3): 271-278.
[8] 刘宏娟. 矩形永磁体三维磁场空间分布研究[D]: [硕士学位论文]. 北京: 北京工业大学, 2006.
[9] 段家珩, 张昆仑, 罗成, 黎松奇. 梯形Halbach永磁阵列空心直线同步电动机特性的解析计算与优化[J]. 电机与控制应用, 2018, 45(10): 59-65+72.
[10] Janssen, J.L.G., Paulides, J.J.H. and Lomonova, E.A. (2010) 3D Analytical Field Calculation Using Triangular Magnet Segments Applied to Askewed Linear Permanent Magnet Actuator. Compel, 29, 984-993. [Google Scholar] [CrossRef] 
[11] Deshmukh, A., Petit, L., Khan, M.U., et al. (2017) Development of a Six Positions Digital Electromagnetic Actuator. 2017 IEEE International Conference on Advanced Intelligent Mechatronics (AIM), Munich, 3-7 July 2017, 975-980. [Google Scholar] [CrossRef] 
[12] Deshmukh, A., Petit, L., Khan, M.U., et al. (2018) A Novel Three-Dimensional Electromagnetic Digital Actuator with 12 Discrete Positions. IEEE/ASME Transactions on Mecha-tronics, 23, 1653-1661. [Google Scholar] [CrossRef] 
[13] Deshmukh, A., Petit, L., Khan, M.U., et al. (2018) Stick-Slip Conveyance Device Based on a Hexagonal Digital Electromagnetic Actuator. 2018 12th France-Japan and 10th Eu-rope-Asia Congress on Mechatronics, IEEE, Tsu, 10-12 September 2018, 174-179. [Google Scholar] [CrossRef] 
[14] Deshmukh, A., Petit, L., Khan, M.U., et al. (2019) A Micro-Fabricated Hexagonal Digital Electromagnetic Actuator. 2019 IEEE/ASME International Conference on Ad-vanced Intelligent Mechatronics (AIM), Hong Kong, 8-12 July 2019, 44-49. [Google Scholar] [CrossRef] 
[15] Deshmukh, A., Petit, L., Khan, M., et al. (2021) Planar Mi-cro-Positioning Device Based on a 3D Digital Electromagnetic Actuator. Actuators, 10, 310. [Google Scholar] [CrossRef] 
[16] Celik, S. and Kural, M.H. (2018) Octagonal Halbach Magnet Array Design for a Magnetic Refrigerator. Heat Transfer Engineering, 39, 391-397. [Google Scholar] [CrossRef] 
[17] Ergor, M. and Bingolbali, A. (2022) Field-Free Line Mag-netic Particle Imaging Magnet Design Using Nested Halbach Cylinders. IEEE Magnetics Letters, 13, 1-4. [Google Scholar] [CrossRef] 
[18] 马海武. 电磁场理论[M]. 北京: 清华大学出版社, 2016.
[19] Gradshteyn, I.S. and Ryzik, I.M. (1994) Table of Integrals, Serie, and Products. 5th Edition, The Academic Press, London, 97-98.

为你推荐