摘要：无轴承异步电机是一个非线性、多变量、强耦合的复杂系统，要实现其稳定悬浮必须对转子上的径向悬浮力进行实时控制，因此准确的径向悬浮力数学模型是无轴承电机设计的基础。针对无轴承异步电机径向悬浮力数学建模的复杂性，提出了采用二基波法对径向悬浮力数学模型进行研究验证的方法。基于无轴承异步电机径向悬浮力产生原理，推导出径向悬浮力数学模型，采用有限元法对转速为6 000 r/min无轴承异步电机进行瞬态分析，仿真得出径向悬浮力在x，y轴上波形曲线。运用二基波法，对径向悬浮力数学模型值进行分析，结合仿真实验数据，验证了理论分析的正确性和有效性。

关键词：无轴承异步电机；径向悬浮力；两基波法；有限元
Abstract: Bearingless induction motor is a nonlinear, multivariable and strong coupling system，it is necessary to control the radial suspension force when it is running, so the accurate calculation of radial suspension force is the basis of bearingless motor design. According to the difficulty of mathematical model of radial suspension force to bearingless induction motor, a new method of  two fundamental was proposed to prove the correct of mathematical model of radial suspension force. Based on the generation principle of radial suspension force in bearingless induction motor，mathematical model of radial suspension force was deduced. According to the transient analysis of the bearingless induction motor which its speed is 6 000 r/min by finite element method, got the component of radial suspension force in the xaxis and yaxis. By analysis the date of mathematical model of radial suspension force based on two fundamental, the experimental data and result verified the correctness and effectiveness of the presented theoretical analysis method.

Key words: bearingless induction motor；radial suspension force ；two fundamental；finite element