基于麦克斯韦应力法的数学模型-电测与仪表.DOCVIP

单绕组磁悬浮开关磁阻电机数学 江苏大学 电气信息工程学院，江苏 镇江 212013； 2南京工程学院 电力工程学院，南京 211167） 摘要：针对现有的单绕组磁悬浮开关磁阻电机在建立数学模型常忽略磁饱和，本麦克斯韦应力法了考虑磁饱和的电机数学模型。，基于虚位移法数学模型的正确性和优越性 中图分类号： TM352 文献标识码:A 文章编号：1001-1390（201）00-0000-00 Mathematical Model of Single Winding Bearingless Switched Reluctance Motors SUN Yu-kun1, 2, CHEN Kai-feng1, ZHU Zhi-ying2 （1. College of Electrical and Information Engineering, Jiangsu University, Zhenjiang 212013, Jiangsu, China. 2 College of Electrical Engineering, Nanjing Institute of Technology, Nanjing 211167, China） Abstract: Magnetic saturation effects are usually ignored in the derivation of mathematical model for single winding bearingless switched reluctance motors (SWBSRM). Aiming at the problem, this paper builds a radial force mathematical model considering the characteristic of magnetic saturation with the Maxwell stress tensor method and the magnetic equivalent circuit. Taken a prototype as the example, the finite-element simulation model is established. Simulation results show the validity and superiority of the model by comparison with the FEM simulation and the mathematical model based on the virtual work method. The result can provide more accurate theoretical basis in the research of motor operation characteristics analysis, optimum design and control strategy. Key words: single winding bearingless switched reluctance motors (SWBSRM), mathematical model, magnetic saturation, finite-element analysis  0 引言 磁悬浮开关磁阻电机（Bearingless Switched Reluctance Motor，简称BSRM）将磁悬浮技术应用于开关磁阻电机，具有无磨损、无润滑、可以实现大功率和超高速运转等优点，适用于高速机床、涡轮分子泵、离心机、航空航天、飞轮储能等领域。 从国内外已发表的文献来看，传统双绕组BSRM的研究已经相对全面，包括电机本体设计，数学模型的建立、各种控制策略的研究、故障分析以及无位置传感技术等[1]。为实现悬浮，传统双绕组BSRM在转子上设计两套绕组，这增加了电机设计与装配的复杂度。近年来单绕组BSRM（single winding bearingless switched reluctance motor，简称SWBSRM）的研究越来越受到关注。美国NASA的B. B. Choi等人参考双绕组的控制策略，将两套绕组等效为一套绕组，设计思路简单，容易实现[2]；中国台湾淡江大学的S. M. Yang等人则对12/8极 SWBSRM的导通相中施加正弦激励来进行悬浮力、转矩的控制[3-4]；德国开姆尼茨工业大学的L. Chen 等人则研究了 8/6 极SWBSRM两相同时导通以及三相同时导通的控制策略[5]；韩国庆星大学的王惠军、D.