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偏心谐波磁力齿轮相比传统磁力齿轮具有高传动比下输出转矩密度大的特点，准确获得其气隙磁场分布是偏心谐波磁力齿轮设计及优化的关键。该文将分式线性变换与比磁导函数相结合，获得偏心谐波磁力齿轮气隙磁场的解析解。为克服切向磁导隐没的缺点，将极坐标系下的径向和切向比磁导计算转化为直角坐标系下的x、y方向的比磁导计算，由此修正未偏心的x、y方向的气隙磁场分量，然后根据叠加原理合成得到偏心谐波磁力齿轮气隙磁场分布。与有限元分析结果对比，解析法所得的气隙磁密、电磁转矩基本一致，验证了解析模型的有效性和合理性。“,”Compared to traditional magnetic gears, the eccentric harmonic magnetic gear (EHMG) has larger output torque density with high transmission ration. The key in design and optimization to ensure excellent performances of the EHMG is that how to predict the internal magnetic field distribution accurately. In this paper, the fractional linear transformation combined with the ratio permeance function, obtains the analytical solution of EHMG air-gap magnetic fields. To overcome the tangential permeance of subduction faults, the polar coordinates of radial and tangential permeance calculations are transferred into Cartesian coordinatesx,y direction permeance calculation. To Modify the non-eccentric the air gap magnetic field component, and then according to the principle of superposition, eccentric harmonic magnetic gear air-gap magnetic field distribution was synthesized. Results from this analytical method are consistent with corresponding finite element analysis, which proves the accuracy of the proposed analytical model.