无轴承磁通切换电机转矩及悬浮力解析计算

Analytical Method of Levitation Force and Torque Calculation for Bearingless Flux-Switching Permanent Magnet Machines

传统无轴承磁通切换电机一般采用有限元分析与等效磁网络分析方法,无法得到气隙磁密解析表达式,存在计算时间长模型构建复杂,对电机参数敏感等缺陷。借助电机气隙分析方法中常见的许-克变换法,利用许-克变换过程中保持共形特性,推导气隙磁导分布,得到气隙磁密解析表达式,进而构建转矩与悬浮力数学模型。有限元分析结果验证了该构建模型的正确性。

The traditional bearingless flux-switching permanent magnet machine (BFSPMM) generally adopts finite element method (FEM) and magnetic equivalent circuit (MEC) to analyze its electromagnetic characteristics,but the analytical expression of the air-gap flux density cannot be deduced.Moreover,they are sensitive to machine mechanical parameters,and require a large amount of computation time,model construction or reconstruction work.Based on this,the Schwarz-Christoffel transformation which keeps conformal during transformation was applied to deduce the analytical expression of air-gap flux density and build the mathematical model of electromagnetic torque and levitation force.The analytical models were verified by finite element analysis results.