中文摘要：

偏心式谐波磁力齿轮利用转子偏心引起气隙磁导的变化，从而实现高速比变速和转矩传递。该文应用边界摄动法，建立了偏心式谐波磁力齿轮气隙磁场二维解析模型。首先分别计算偏心转子和定子永磁体单独作用时的偏心气隙磁场，再根据叠加原理合成谐波齿轮气隙磁场。气隙磁通密度和电磁转矩的解析结果与有限元分析结果相比较，验证了解析模型的正确性和有效性。

英文摘要：

The harmonic gear utilizes the change of the magnetic permeability caused by eccentric structure to achieve speed change and torque transmission with high gear ratios. This paper established an eccentric magnetic harmonic gear analytical model based on the boundary perturbation method. The eccentric air-gap magnetic field was calculated due to the permanent magnets of the eccentric rotor or stator acting alone, and then the air-gap magnetic field of the magnetic harmonic gear was obtained according to the superposition principle. Comparing air-gap flux density and electromagnetic torque of the analytical results with the finite element analysis results, the proposed method is proved to be correct and effective.