Halbach阵列同心式磁力齿轮磁场全局解析法分析

Exact analytical method for magnetic field computation in concentric magnetic gear with halbach permanent-magnet arrays

针对Halbach阵列同心式磁力齿轮这种内外转子非接触传递的传动装置,运用全局解析法对磁力齿轮内外两层气隙磁场进行分析计算。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,各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,并用计算了内外转子电磁转矩,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。

An exact analytical method for magnetic field calculation was proposed in the concentric magnetic gear with Halbach permanent-magnet arrays.The analytical method is based on the resolution of Laplace＇ s and Poisson＇ s equations for each sub-domain,i.e.,inner and outer permanent magnet rotors,inner and outer air-gaps,and slots.The globe solution was obtained using boundary and continuity conditions.Owing to obtaining the analytical expressions of air-gap flux density,any rotor position of electromagnetic torque was calculated precisely,quickly and easily by using the Maxwell stress tensor.Compared air-gap magnetic field distributions and electromagnetic torque computed by the analytical method with those obtained from the 2-dimensional finite element method （FEM）,the waveform shows good agreement with the meased waveform which proves the proposed method is correct and effective.