中文摘要：

准确计算磁力齿轮电磁转矩是设计、分析磁力齿轮的关键,采用二维全局解析法计算同心式磁力齿轮气隙磁场。求解场域划分为内外转子永磁体、内外两层气隙和调磁定子的槽形区域,3类子区域的拉普拉斯方程和泊松方程通过边界连续条件建立联系。得到内外两层气隙区域的矢量磁位磁通密度解析表达式,有利于方便、快速、精确地计算任意转子位置的电磁转矩。计算了内外两层气隙磁场和内外转子电磁转矩,将气隙磁场波形和内外转子电磁转矩波形分别与二维有限元法计算波形作比较,结果吻合,证明了方法的正确性和有效性。

英文摘要：

It is necessary to learn accurate knowledgaaaaaaae about air-gap magnetic field distribution for predicting the performance of concentric magnetic gears. In this paper, an exact 2-D analytical method is proposed to calculate the magnetic field distribution. The analytical method is based on the resolution of Laplace＇s and Poisson＇s equations for each sub-domain, inner and outer permanent magnets rotors, inner and outer air-gap, and slots. The equations can be written as：