针对已有基于虚位移法的无轴承开关磁阻电机数学模型推导复杂的缺限，从麦克斯韦应力法角度出发，建立了考虑电机磁饱和特性的数学模型。在大电流饱和状态下，该模型有效地描述了电机产生的径向悬浮力和电磁转矩。利用有限元分析的方法验证了该模型的优良特性。试验结果显示利用该模型能够很好地实现电机稳定悬浮，表明采用麦克斯韦应力法建模的正确性和可行性。该方法的应用为研究无轴承开关磁阻电机电磁力分布提供了新的思路。

In the light of complexity in derivation of the mathematical model of bearingless switched reluctance motors (BSRM) based on the virtual work method, the paper builds a mathematical model considering the characteristic of magnetic saturation with Maxwell stress tensor method. The model can depict radial force and electromagnetic torque generated in the motor more accurately in the region of magnetic saturation. The fine characteristics of this model are verified in finite element analysis method. The experimental results show that the motor can levitate steadily in this model. The adoption of Maxwell stress tensor method can find alternative means of analysis of electromagnetic force for BSRM.

航空基础科学基金(05F52040)；高等学校博士学科点专项科研资助课题 (20060287010)；新世纪优秀人才支持计划资助。