单绕组宽转子齿结构无轴承开关磁阻电机的全周期悬浮力数学模型  

Radial Force Mathematical Model of Full Period of Single Winding Bearingless Switched Reluctance Motor With Wider Rotor Teeth

作　　者：杨艳[1] 吴苏 刘程子[1] 刘泽远[1] YANG Yan;WU Su;LIU Chengzi;LIU Zeyuan(College of Automation&College of Artificial Intelligence,Nanjing University of Posts and Telecommunications,Nanjing 210023,Jiangsu Province,China)

机构地区：[1]南京邮电大学自动化学院/人工智能学院,江苏省南京市210023

出　　处：《中国电机工程学报》2025年第3期1127-1136,I0027,共11页PROCEEDINGS OF THE CHINESE SOCIETY FOR ELECTRICAL ENGINEERING

基　　金：国家自然科学基金(面上项目)(52377061)。

摘　　要：现有的单绕组宽转子齿结构无轴承开关磁阻电机悬浮力数学模型存在一定不足,无法反映在定转子极不完全重叠区间不同方向绕组电流以及在定转子极完全重叠区间边缘磁通对悬浮力分布的作用,影响电机的悬浮精度。为提高悬浮精度,针对该电机结构特性建立新的磁导表达式,将等效磁路法与虚位移法结合,建立考虑绕组电流耦合关系及边缘磁通的全角度范围悬浮力数学模型。经有限元分析,验证该数学模型能够准确反映出绕组电流耦合作用以及边缘磁通对悬浮力分布的影响,克服了现有数学模型的不足,能够准确拟合有限元结果。实验结果表明,利用该新型全周期数学模型在实现电机稳定悬浮的同时,能提高悬浮精度,进一步验证模型的正确性。该数学模型的建立可为电机拓扑结构创新、控制方法优化以及容错控制设计提供可靠的理论支撑。Drawbacks are present in the existing radial force mathematical model of single winding bearingless switched reluctance motor with wider rotor teeth that can not reflect the effect of winding currents in different directions in the incomplete overlap region of stator and rotor poles on the distribution of suspended force,as well as the effect of marginal flux in the complete overlap region of stator and rotor poles on the distribution of suspended force,impacting on the suspended accuracy of the motor.To improve the suspended accuracy,this paper establishes a new model of magnetic conductivity based on the structural characteristics of this motor.By combining the equivalent magnetic circuit method with virtual displacement method,a full period radial force mathematical model that considers the coupling relationship of winding current and edge magnetic flux is established.After finite element analysis,it is verified that the mathematical model can accurately reflect the influence of the coupling effect of winding current and edge magnetic flux on the distribution of suspended force,which can overcome the shortcomings of existing mathematical models and accurately fit the finite element results.The experimental results indicate that this motor can suspend stably and the suspended accuracy can be improved with this innovative mathematical model of full period,which further verifies the correctness of the model.The establishment of this mathematical model provides reliable theoretical support for innovating motor topology,optimizing control methods and designing fault-tolerant control.

关 键 词：无轴承开关磁阻电机 单绕组 宽转子齿 数学模型 耦合关系 虚位移法 

分 类 号：TM352[电气工程—电机]