中文摘要：

研究了无轴承开关磁阻电机定、转子极弧选取的原则，并分析了转矩和悬浮力随定、转子极弧的变化关系。针对传统无轴承开关磁阻电机数学模型只适用于固定定、转子极弧的局限性，提出了一种适用于定、转子极弧可变的无轴承开关磁阻电机新型数学模型。基于无轴承开关磁阻电机传统虚位移法数学模型的推导方法，推导了利用分段函数表示的包括定、转子极弧两个变量的新型数学模型解析表达式，并与传统数学模型以及采用FEM计算的主绕组和悬浮绕组电感进行了比较。结果表明，新型数学模型的电感计算结果准确，且转矩和悬浮力方程包括定、转子极弧这两个变量，对定、转子极弧没有限制，具有通用性。

英文摘要：

The rule of selecting stator and rotor teeth＇s pole arcs of bearingless switched reluctance motors was established, the relationship of torque and radial force with pole arc angle were analyzed. In view of limitations of traditional math- ematical model only suited for fixed pole arcs of stator and rotor teeth, a novel mathematical model of bearingless switched reluctance motors with variable pole arc of stator and rotor teeth was proposed. Based on the virtual displacement modeling method of bearingless switched reluctance motor, the novel mathematical model of bearingless switched reluctance motors with two variables of βs and βr was derived using subsection function. And inductances of the main and the suspension wind- ing were compared using thre novel mathematical model, the traditional mathematical model and the finite element method. The results show that the inductances using the novel mathematical model are accurate, and the novel mathematical model is universal for variable pole arc of stator and rotor teeth because the torque and suspension force equation of the novel mathe- matical model including two variables of βs and βr.