Analytical Calculation of Air-gap Magnetic Field and Torque of Triple-shaft Ring-plate Magnet Gears

Liu Dongning; Ge Yanjun; Yang Junyue; Wang Daming

doi:10.16578/j.issn.1004.2539.2024.01.007

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Analytical Calculation of Air-gap Magnetic Field and Torque of Triple-shaft Ring-plate Magnet Gears

Design· Calculation | 更新时间：2024-12-13

- Analytical Calculation of Air-gap Magnetic Field and Torque of Triple-shaft Ring-plate Magnet Gears
- Journal of Mechanical Transmission Vol. 48, Issue 1, Pages: 46-51(2024)
- 作者机构：
  
  大连交通大学机械工程学院，辽宁大连 116028
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2024.01.007
  CLC：
- Published：15 January 2024，
  
  Received：08 October 2022，
  
  Revised：22 October 2022，
- 稿件说明：
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刘东宁,葛研军,杨均悦等.三轴环板式永磁齿轮气隙磁场及转矩计算[J].机械传动,2024,48(01):46-51.

Liu Dongning,Ge Yanjun,Yang Junyue,et al.Analytical Calculation of Air-gap Magnetic Field and Torque of Triple-shaft Ring-plate Magnet Gears[J].Journal of Mechanical Transmission,2024,48(01):46-51.
刘东宁,葛研军,杨均悦等.三轴环板式永磁齿轮气隙磁场及转矩计算[J].机械传动,2024,48(01):46-51. DOI： 10.16578/j.issn.1004.2539.2024.01.007.

Liu Dongning,Ge Yanjun,Yang Junyue,et al.Analytical Calculation of Air-gap Magnetic Field and Torque of Triple-shaft Ring-plate Magnet Gears[J].Journal of Mechanical Transmission,2024,48(01):46-51. DOI： 10.16578/j.issn.1004.2539.2024.01.007.

摘要

利用标量磁位法获得了三轴环板式永磁齿轮（Triple-shaft Ring-plate Magnet Gear，TRMG）的气隙磁场数理模型，根据磁场叠加原理建立了内、外永磁圈间气隙磁场及其相应的电磁转矩模型；由于所有计算均基于TRMG的平面磁场建立，因此，所建模型与二维有限元结果间具有较高的准确度（误差≤5%）；其计算速度远快于三维有限元法，且与二维及三维有限元分析具有较好的吻合度与趋势性，验证了所建模型的准确性，可适用于三轴以上的多轴环板式永磁齿轮的磁场分析与结构动力学计算。

Abstract

In this research

the mathematical and physical model of the air-gap magnetic field for the triple-shaft ring-plate magnet gear (TRMG) is obtained by means of the scalar magnetic potential method

and the air-gap magnetic field between inner and outer permanent magnet rings and its corresponding electromagnetic torque model are established according to the principle of the magnetic field superposition. Since all calculations are based on the TRMG plane magnetic field

the accuracy between the model and the two-dimensional finite element results is relatively high (error≤5%). The calculation speed of the model is much faster than that of the three-dimensional finite element method

and it has good agreement and trend with the two-dimensional and three-dimensional finite element analysis

which verifies the correctness of the model. It can be used in magnetic field analysis and structural dynamics calculation of multishaft ring-plate magnet gears with three or more shafts.

关键词

三轴环板式永磁齿轮标量磁位法气隙磁场电磁转矩

Keywords

Triple-shaft ring-plate magnet gearScalar magnetic potential methodAir-gap magnetic fieldElectromagnetic torque

references

葛研军，刘东宁，杨均悦，等.环板式永磁齿轮变速传动装置：CN112701875B［P］.2021-04-12.

GE Yanjun，LIU Dongning，YANG Junyue，et al.Ring plate permanent magnet gear variable speed transmission device：CN112701875B［P］.2021-04-12.

葛研军，刘佳男，周哲，等.环板式永磁齿轮设计与不平衡磁拉力优化［J］.大连交通大学学报，2022，43（2）：59-64.

GE Yanjun，LIU Jianan，ZHOU Zhe，et al.Design of ring-plate permanent magnet gear and optimization of unbalanced magnetic force［J］.Journal of Dalian Jiaotong University，2022，43（2）：59-64.

GE Y J，LIU D N，YANG J Y，et al.Research on dynamic characteristics of three-shafts ring-plate magnet gear［J］.Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería，2022，38（3）：1-13.

WONG H Y，BIRD J Z，MODARESAHMADI S，et al.Comparative analysis of a coaxial magnetic gear with a flux concentration rotor and consequent pole rotor typology［J］.IEEE Transactions on Magnetics，2018，54（11）：1-5.

DENG Z，NAS I，DAPINO M J.Torque analysis in coaxial magnetic gears considering nonlinear magnetic properties and spatial harmonics［J］.IEEE Transactions on Magnetics，2019，55（2）：1-11.

LI X，CHAU K T，CHENG M，et al.Comparison of magnetic-geared permanent-magnet machines［J］.Progress in Electromagnetics Research，2013，133：177-198.

GE Y J，NIE C Y，XIN Q.A three dimensional analytical calculation of the air-gap magnetic field and torque of coaxial magnetic gears［J］.Progress in Electromagnetics Research，2012，131：391-407.

LUBIN T，MEZANI S，REZZOUG A.Analytical computation of the magnetic field distribution in a magnetic gear［J］.IEEE Transactions on Magnetics，2010，46（7）：2611.

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.

KIM U，LIEU D K.Magnetic field calculation in permanent magnet motors with rotor eccentricity：with slotting effect considered［J］.IEEE Transactions on Magnetics，1998，34（4）：2253-2266.

刘蓉晖，李琛，章跃进.偏心式谐波磁力齿轮气隙磁场解析模型［J］.中国电机工程学报，2013，33（36）：126-133.

LIU Ronghui，LI Chen，ZHANG Yuejin.Analytical model for air-gap magnetic field calculation in an eccentric magnetic harmonic gear［J］.Proceedings of the CSEE，2013，33（36）：126-133.

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.

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.

LI J T，LIU Z J，NAY L H A.Effect of radial magnetic forces in permanent magnet motors with rotor eccentricity［J］.IEEE Transactions on Magnetics，2007，43（6）：2525-2527.

章跃进，章君达.偏心式谐波磁力齿轮气隙磁场分式线性变换解析模型［J］.电工技术学报，2018，33（15）：3572-3577.

ZHANG Yuejin，ZHANG Junda.Analytical model of magnetic field of eccentric harmonic magnetic gear using fractional linear transformation method［J］.Transactions of China Electrotechnical Society，2018，33（15）：3572-3577.

章跃进，王易.分式线性变换下比磁导法在偏心式谐波磁力齿轮气隙磁场解析计算中的应用［J］.中国电机工程学报，2016，36（13）：3651-3659，3385.

ZHANG Yuejin，WANG Yi.Applications of the fractional linear transformation and permeance method in eccentric harmonic magnetic gear air-gap magnetic field analytical calculations［J］.Proceedings of the CSEE，2016，36（13）：3651-3659，3385.

DAVEY K，MCDONALD L，HUTSON T.Axial flux cycloidal magnetic gears［J］.IEEE Transactions on Magnetics，2014，50（4）：1-7.

GE Y J，LIU D N，YANG J Y，et al.Analysis and calculation of the three-dimensional air gap magnetic field and electromagnetic torque of a multishaft ring-plate magnet gear［J］.IEEE Transactions on Magnetics，2022，58（11）：1-8.

GE Y J，LIU D N.Analysis of structure and starting characteristics of three-shaft ring-plate permanent magnet gear［J］.Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería，2021，37（4）：1-11.

GE Y J，LIU D N，WANG D M.Research on three-shaft ring-plate permanent magnetic gear variable speed transmission device［C］//2021 IEEE International Conference on Electrical Engineering and Mechatronics Technology（ICEEMT），Qingdao，2021：66-70.

MEESSEN K J，GYSEN B L，PAULIDES J J，et al.Halbach permanent magnet shape selection for slotless tubular actuators［J］.IEEE Transactions on Magnetics，2008，44（11）：4305-4308.

WU Q，SUN Y，CHEN W，et al.Theoretical prediction and experimental verification of the unbalanced magnetic force in air bearing motor spindles［J］.Proceedings of the Institution of Mechanical Engineers，Part B：Journal of Engineering Manufacture，2019，233（12）：2330-2344.

REZAEE-ALAM F，REZAEEALAM B，FAIZ J.Unbalanced magnetic force analysis in eccentric surface permanent-magnet motors using an improved conformal mapping method［J］.IEEE Transactions on Energy Conversion，2016，32（1）：146-154.

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