开槽盘式磁力耦合器气隙磁场及转矩分析

Analysis of Air Gap Magnetic Field and Torque of the Slotted-type Magnetic Couplers

针对求解开槽盘式磁力耦合器气隙磁场和转矩的问题,引入子域分析模型,将磁力耦合器沿轴向划分为5个区域,在各区域分界面处建立边界方程;根据开槽盘式磁力耦合器从动盘轭齿与导体交替排列的特性,分别推导了轭齿与铜导体区内的矢量磁位公式;针对端部效应,运用许-克变换对齿槽端面处的磁通密度进行修正;在分别得出轭铁与导体处矢量磁位的基础上,推导得出气隙磁场与电磁转矩公式;将开槽盘式磁力耦合器的结构参数代入理论模型,计算得出轴向气隙磁场分布与机械特性曲线。将计算结果与有限元模拟结果进行对比分析,验证了理论模型的准确性并分析了产生误差的原因。

In order to solve the problem of calculating the air gap magnetic field and torque of slotted-type magnetic couplers,a subdomain analysis model is introduced.The magnetic couplers are divided into five regions along the axis,the boundary equations are established at the interfaces of each region.According to the alternating arrangement characteristics of yoke teeth and the conductor and the vector magnetic potential formulas in yoke teeth and the copper conductor disk are deduced respectively.Due to the end effect,Schwarz-Christoffel mapping is used to modify the coefficient of the flux density at the end face of the cogging.On the basis of obtaining the vector magnetic potential of the yoke iron and conductor respectively,the formulas of the air gap magnetic field and electromagnetic torque are deduced.The structure parameters of the slotted-type magnetic couplers are substituted into the theoretical model to calculate the axial air-gap magnetic field distribution and mechanical characteristic curves.By comparing the results with those obtained by finite element simulation,the accuracy of the theoretical model is verified and the cause of the error is analyzed.