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中文摘要：
针对磁悬浮开关磁阻电机运行过程中容易出现磁饱和及转子偏心的问题,建立了一种新型的一体化数学模型.首先,依据电机磁场的有限元分析结果,基于麦克斯韦张量法求出了径向力及转矩关于气隙磁密的表达式.其次,根据电机的等效磁路,结合铁芯材料的磁化特性,计算了非线性气隙磁密.最后,以此二者为基础建立了磁悬浮开关磁阻电机的一体化数学模型,并以一台试验样机为例,利用有限元分析验证了该数学模型的正确性.结果表明,该模型对电机的未饱和及饱和工作状态均适用,弥补了现有基于无磁饱和假设的各种建模方法不适用于BSRM磁饱和工况的缺陷,可以为电机的运行特性分析、本体优化设计以及控制策略研究提供更准确的理论依据.
英文摘要：
In light of magnetic saturation and radial displacements in bearingless switched reluctance motors（BSRM）,a novel integrative mathematical model was proposed.Based on the finite element analysis of motor magnetic field,the radial force and torque expressions about gas magnetic densities were obtained by Maxwell stress tensor method.The nonlinear gas magnetic densities were calculated based on single equivalent magnetic circuit combined with the nonlinear magnetization characteristic of iron core.At last,the integrative mathematical model of BSRM was established and verified by finite element analysis of a prototype as an example.The results show that this model can fit for both magnetic saturated and unsaturated working states.So it can remedy the shortcomings of existing models based on non-saturation hypothesis,which are not suitable for magnetic-saturated condition.
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