Magnetic field analytical model for magnetic harmonic gears using the fractional linear transformation method

被引：7

作者：

Zhang Y. ^{[1
]}

Zhang J. ^{[1
]}

Liu R. ^{[1
,2
]}

机构：

[1] School of Mechatronics Engineering and Automation, Shanghai University, Shanghai

[2] College of Electric Engineering, Shanghai University of Electric Power, Shanghai

来源：

Chinese Journal of Electrical Engineering | 2019年 / 5卷 / 01期

关键词：

Eccentric rotor; Electromagnetic torque; Fractional linear transformation; Magnetic harmonic gears; Relative permeance function;

D O I：

10.23919/CJEE.2019.000005

中图分类号：

学科分类号：

摘要：

Magnetic harmonic gears with high gear ratios exhibit high torque densities. However, the revolution and rotation of the eccentric rotor makes the magnetic field analysis complex. In this study, an analytical model of magnetic fields for magnetic harmonic gears is developed by using the fractional linear transformation method. The transformation formula is accurate in theory and suitable for the analysis of magnetic fields with large eccentricity. The rotor eccentricity region in the z-plane is mapped onto a uniform region in the w-plane. The magnetic field solutions are obtained by modulating the magnetic field distributions without rotor eccentricity with the relative permeance function derived from the effect of rotor eccentricity. The torque of magnetic harmonic gears is calculated from the radial and tangential components of the air-gap magnetic fields. Results of the finite element method and prototype test confirm the validity of the analytical prediction. © 2021 Chinese Journal of Electrical Engineering. All rights reserved.

引用

页码：47 / 52

页数：5

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