内置式无轴承永磁同步电机悬浮力建模

Modeling of suspension force for an interior bearingless permanent magnet synchronous motor

精确的悬浮力数学模型有助于无轴承永磁同步电机悬浮力控制系统的设计.基于无轴承永磁同步电机工作原理,建立了一台内置式无轴承永磁同步电机悬浮力的数学模型.首先给出了作用在转子上的麦克斯韦力的表达式,然后对气隙磁路进行分析与简化,其次根据麦克斯韦力与气隙磁密的关系,推导了转子在偏心情况下作用在转子上的径向悬浮力,最后基于有限元分析法,对内置式无轴承永磁同步电机的悬浮力进行仿真分析,通过有限元分析,结果验证了悬浮力数学模型的准确性.

The precise suspension force mathematical model is helpful for designing the suspension force control system of the permanent magnet synchronous motor. Based on the brief introduction of the operation principle of the interior bearingless permanent magnet synchronous motor（ IBPMSM）,the suspension force model is built according to the Maxwell tensor method. Firstly,the expression of the Maxwell force on the rotor is given,and then,the airgap magnetic circuit is analyzed and simplified. Furthermore,the Maxwell force on the rotor under eccentric condition is derived according to the relationship between Maxwell force and airgap flux density. Finally,the prototype is modeled with the help of finite element analysis method. The finite element analysis results verify the accuracy of the suspension force model.