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Magnetic Field Analytical Model for Magnetic Harmonic Gears Using the Fractional Linear Transformation Method

机译:基于分数线性变换法的电磁谐波齿轮磁场分析模型

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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.
机译:高传动比的电磁谐波齿轮具有较高的转矩密度。但是,偏心转子的公转和旋转使磁场分析变得复杂。在本研究中,利用分数线性法建立了电磁谐波齿轮的磁场分析模型。该变换公式在理论上是准确的,适用于分析大偏心磁场.z平面中的转子偏心区域映射到w平面中的均匀区域,通过以下方法获得磁场解利用由转子偏心率影响产生的相对磁导率函数调制无转子偏心的磁场分布。从气隙磁场的径向和切向分量计算出电磁谐波齿轮的转矩。有限元法和原型测试证实了分析预测的有效性。

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