中文摘要：

针对磁悬浮开关磁阻电机在定转子齿极非交叠区间的模型空白,推导了该区间的数学模型。在对电机磁场进行有限元分析的基础上,确定了磁路分割方案,推导了各部分磁导及各绕组自感和相互之间的互感表达式,进而根据机电能量转换原理,推导了径向悬浮力及电磁转矩的表达式,从而完整了磁悬浮开关磁阻电机一个相周期全角度范围内的数学模型。有限元数值验证结果证明了模型的正确性。

英文摘要：

　In view of limitations of traditional mathematical model only valid at overlap positions in bearingless switched reluctance motors（BSRM）, a novel mathematical model suited for non-overlap positions is proposed. The gap permeance is first cut apart on the basis of finite-element（FE） analysis and the formulas are separately derived. The inductance matrix is then constructed based on the magnetic equivalent circuits. Accordingly, new mathematical formulas of radial force and magnetic torque are derived based on the theory of electromechanical energy conversion. The validity of the model is proved through FE numerical calculations.