多轴环板永磁齿轮偏心磁场计算及动态特性分析

doi:10.3901/JME.2025.09.372

机械工程学报 ›› 2025, Vol. 61 ›› Issue (9): 372-382.doi: 10.3901/JME.2025.09.372

• 机械动力学 • 上一篇

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多轴环板永磁齿轮偏心磁场计算及动态特性分析

刘东宁^1,2, 葛研军², 杨均悦², 刘放²

1. 沈阳工业大学机械工程学院沈阳 110870;
2. 大连交通大学机械工程学院大连 116028

收稿日期:2024-05-21 修回日期:2024-08-19 发布日期:2025-06-12
通讯作者: 葛研军,男,1964年出生,博士,教授,博士研究生导师。主要研究方向为新型动力机械设计与制造、磁力传动与驱动。E-mail:yjge@djtu.edu.cn E-mail:yjge@djtu.edu.cn
作者简介:刘东宁,男,1994年出生,博士,讲师。主要研究方向为磁力传动与驱动,机械多元驱动与控制。E-mail:dongningliu@sut.edu.cn
基金资助:
国家自然科学基金(52375258)和辽宁省教育厅自然科学研究重点攻关(JDL2020001)资助项目。

Calculation of Eccentric Magnetic Field and Dynamic Characteristics Analysis of Multi-shafts Ring-plate Magnet Gear

LIU Dongning^1,2, GE Yanjun², YANG Junyue², LIU Fang²

1. School of Mechanical Engineering, Shenyang University of Technology, Shenyang 110870;
2. School of Mechanical Engineering, Dalian Jiaotong University, Dalian 116028

Received:2024-05-21 Revised:2024-08-19 Published:2025-06-12

摘要/Abstract

摘要： 提出一种多轴环板式永磁齿轮(Multi-shafts ring-plate magnet gear, MRMG)结构。为量化分析其特有的平摆运动机理及传动特性，以求解偏心磁场所产生的气隙磁密及电磁转矩，进而获得内部支路的功率流动过程及最优传动模式，首先基于MRMG运行特性将内、外永磁圈的运动关系相关联，并通过具有反馈机制的动态模型图直观表示出MRMG动态转矩与转速之间的关系；然后利用矢量磁位法，将MRMG特有的偏心磁场经分式线性变换为同心磁场，以方便解算该磁场下的气隙磁密及电磁转矩，从而获得了内、外永磁圈与各传动轴的平衡关系及其损耗模型。由于所建模型包含了有限元无法计及的转臂轴承机械损耗，因此计算出的转速比、转矩比及传动效率更趋近于动态实测结果；另外，由于MRMG具有功率分流特性，因此其在各偏心轴均承受相同载荷时的运行特性为最优，其次为各偏心轴承载但有载荷偏差模式，而“单输入/单输出”模式最低，实测最高效率仅为最优模式的73.68%。

关键词: 多轴环板式永磁齿轮, 动态分析, 气隙磁场, 电磁转矩, 动态加载实验

Abstract: Multi-shafts ring-plate magnet gear (MRMG) structure is proposed. In order to quantitatively analyze its unique flat pendulum motion mechanism and transmission characteristics, the air-gap magnetic density and electromagnetic torque generated by the eccentric magnetic field are solved, and the power flow process of internal branch and optimal transmission mode are obtained. Firstly, the motion relation of inner and outer permanent magnet rings is correlated based on MRMG operating characteristics, and the relationship between the MRMG dynamic torque and speed is intuitively expressed by dynamic model graph with the feedback mechanism. Then, by using vector magnetic potential method, the MRMG eccentric magnetic field is transformed into concentric magnetic field by linear fraction transformation, so as to solve the air-gap magnetic density and torque under the magnetic field, and obtain the balance relationship and loss model between the inner and outer permanent magnet rings and each shaft. Because the model established includes mechanical bearing losses that cannot be taken into account by FEM, the calculated speed ratio, torque ratio and efficiency are closer to dynamic measured results. In addition, due to the MRMG power split characteristics, its operation characteristics is optimal when all eccentric shafts bear the same load, followed by the eccentric shafts bearing with load deviation mode, single input/single output mode is the lowest, the maximum measured efficiency is only 73.72% of optimal mode.

Key words: multi-shafts ring-plate magnet gear, dynamic analysis, air-gap field, electromagnetic torque, dynamic experiment

中图分类号:

TH13

刘东宁, 葛研军, 杨均悦, 刘放. 多轴环板永磁齿轮偏心磁场计算及动态特性分析[J]. 机械工程学报, 2025, 61(9): 372-382.

LIU Dongning, GE Yanjun, YANG Junyue, LIU Fang. Calculation of Eccentric Magnetic Field and Dynamic Characteristics Analysis of Multi-shafts Ring-plate Magnet Gear[J]. Journal of Mechanical Engineering, 2025, 61(9): 372-382.

参考文献

[1] Jing L,Pan Y,Wang T,et al. Transient analysis and verification of a magnetic gear integrated permanent magnet brushless machine with halbach arrays[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics,2022,10(2):1881-1890.
[2] 赵韩,杨志轶,田杰. 永磁齿轮传动力矩计算方法研究[J]. 机械工程学报,2001,37 (11):66-70. ZHAO Han,YANG Zhiyi,TIAN Jie. Research on calculation method of permanent magnet gear transmission torque[J]. Journal of Mechanical Engineering,2001,37(11):66-70.
[3] Gardner M C,Praslicka B,Johnson M,et al. Optimization of coaxial magnetic gear design and magnet material grade at different temperatures and gear ratios[J]. IEEE Transactions on Energy Conversion,2021,36(3):2493-2501.
[4] Praslicka B,Gardner M C,Johnson M,et al. Review and analysis of coaxial magnetic gear pole pair count selection effects[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics,2022,10(2):1813-1822.
[5] 赵韩,吴其林,黄康,等. 国内齿轮研究现状及问题研究[J]. 机械工程学报,2013,49(18):11-20. ZHAO Han,WU Qilin,HUANG Kang,et al. Status and problem research on gear study[J]. Journal of Mechanical Engineering,2013,49(18):11-20.
[6] Zhao H,Liu C,Song Z,et al. A Fast Optimization scheme of coaxial magnetic gears based on exact analytical model considering magnetic saturation[J]. IEEE Transactions on Industry Applications,2021,57(1):437-447.
[7] Filippini M,Alotto P. Coaxial magnetic gear design and optimization[J]. IEEE Transactions on Industrial Electronics,2017,64(12):9934-9942.
[8] 葛研军,聂重阳,辛强. 调制式永磁齿轮气隙磁场及转矩分析计算[J]. 机械工程学报,2012,48(11):153-158. GE Yanjun,NIE Chongyang,XIN Qiang. Analytical calculation of air-gap magnetic field and torque of modulated permanent magnetic gears[J]. Journal of Mechanical Engineering,2012,48(11):153-158.
[9] Gardner M C,Jack B E,Johnson M,et al. Comparison of surface mounted permanent magnet coaxial radial flux magnetic gears independently optimized for volume,cost,and mass[J]. IEEE Transactions on Industry Applications,2018,54(3):2237-2245.
[10] 鲁仰辉,罗帅,吴素君. 调磁环材料性能对永磁齿轮损耗的影响研究[J]. 机械工程学报,2022,58(20):269-275. LU Yanghui,LUO Shuai,WU Sujun. Influence of material properties of magnetic adjusting ring on the loss of magnetic gear[J]. Journal of Mechanical Engineering,2022,58(20):269-275.
[11] Rens J,Atallah K,Calverley S D,et al. A novel magnetic harmonic gear[J]. IEEE Transactions on Industry Applications,2010,46(1):206-212.
[12] 卢敏,胡捷. 少极差偏心磁性齿轮传动试验研究[J]. 机械工程学报,2015,51(3):58-65. LU Min,HU Jie. Experimental research on the transmission of the eccentric magnetic gear with few pole difference[J]. Journal of Mechanical Engineering,2015,51(3):58-65.
[13] Duan G,Gupta T,Sutton E,et al. Cycloidal magnetic gear combining axial and radial topologies[J]. IEEE Transactions on Energy Conversion,2022,37(3):2130-2137.
[14] Kang L,Bird J,Williams W,et al. A flux focusing cycloidal magnetic gearbox[J]. IEEE Transactions on Magnetics,2015,51(11):1-4.
[15] Huang H,Bird J Z,Vera A L,et al. An axial cycloidal magnetic gear that minimizes the unbalanced radial force[J]. IEEE Transactions on Magnetics,2020,56(7):1-10.
[16] 梁昆淼. 数学物理方法[M]. 北京:高等教育出版社,2010. LIANG Kunmiao. Methods of mathematical physics[M]. Beijing:Higher Education Press,2010.
[17] 王福谦. 单芯偏心电缆的磁场[J]. 大学物理,2008,27 (4):16-18,21. WANG Fuqian. Magnetic field of single core eccentric cable[J]. College Physics,2008,27 (4):16-18,21.
[18] Huang Z,Fang J,Liu X,et al. Loss calculation and thermal analysis of rotors supported by active magnetic bearings for high-speed permanent-magnet electrical machines[J]. IEEE Transactions on Industrial Electronics,2015,63(4):2027-2035.
[19] Fotso H R F,Kaze C V A,Kenmoe G D. Real-time rolling bearing power loss in wind turbine gearbox modeling and prediction based on calculations and artificial neural network[J]. Tribology International,2021,163:1-10.
[20] BRYTON P,MATTHEW J,ERIK P,et al. Design and analysis of a novel,low-cost,high-speed cycloidal magnetic gear for aerospace servo actuator applications[J]. IEEE/ASME Transactions on Mechatronics,2023,28(6):3352-3363.

多轴环板永磁齿轮偏心磁场计算及动态特性分析

Calculation of Eccentric Magnetic Field and Dynamic Characteristics Analysis of Multi-shafts Ring-plate Magnet Gear

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