基于改进复相对磁导函数的开槽轴向磁通永磁电机气隙磁场解析模型  

Analytical Model of Air-Gap Magnetic Field of Slotted Axial Flux Permanent Magnet Motor Based on Improved Complex Relative Permeance Function

作　　者：佟文明[1] 杜绍雨 贾建国[1] 黄芮 Tong Wenming;Du Shaoyu;Jia Jianguo;Huang Rui(National Engineering Research Center for Rare-Earth Permanent Magnet Machines Shenyang University of Technology,Shenyang 110870,China;CloudMinds Robotics Inc.,Shanghai 201100,China)

机构地区：[1]国家稀土永磁电机工程技术研究中心(沈阳工业大学),沈阳110870 [2]达闼机器人股份有限公司,上海201100

出　　处：《电工技术学报》2024年第24期7700-7711,共12页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金项目(52222702);沈阳市创新人才工程项目(RC210067)资助。

摘　　要：齿槽效应会对气隙磁场产生较大影响,针对现有保角映射法无法考虑实际槽形以及精确子域法通用性受限的问题,该文基于改进复相对磁导函数提出一种计及定子槽宽、槽深和静态偏心影响的开槽轴向磁通永磁电机气隙磁场通用解析模型。建模时首先将求解域划分为气隙子域和永磁体子域,依据各子域的边界条件求解拉普拉斯方程,借助标量磁位求得无槽空载气隙磁场解析表达式,并引入改进复相对磁导函数考虑齿槽效应。然后分析静态偏心的作用规律,建立计及静态偏心影响的气隙磁场解析模型,在此基础上计算了不同偏心率下的气隙磁通密度、空载反电动势及齿槽转矩,有限元和实验证明了该解析模型的有效性。相较有限元分析,该解析模型具有建模耗时少、计算速度快和求解精度相近的特点,为相关电机的优化设计提供了有益参考。The slotting effect has a great influence on the air gap magnetic field.The conformal mapping method is based on the single-slot model to consider the influence of stator slotting,which has good generality.However,it simplifies the stator slot to infinite depth,so the analytical calculation accuracy is low.The exact subdomain method can consider the details of the stator slot with high analytical calculation accuracy.Nevertheless,it needs to be remodeled for different pole-slot combinations,and its generality is poor.This paper proposes a general analytical model of the air gap magnetic field of the slotted axial flux permanent magnet(AFPM)motor,considering the influence of stator slot width,slot depth,and static eccentricity.Firstly,the topology of the double stator single rotor AFPM motor is introduced,and the analytical expression of the slotless no-load air gap magnetic field is obtained based on the subdomain method.Secondly,the improved complex relative permeance function is used to consider the slotting effect,and then the accurate magnetic field analytical model of the AFPM motor is established.Finally,combined with the variation law of air gap reluctance during static eccentricity,an analytical model of air gap magnetic field considering the influence of static eccentricity is established.The proposed complex relative permeance function calculation method can consider the stator slot width and depth,which has higher analytical calculation accuracy than the traditional complex relative permeance function method.The calculated air gap flux density,no-load back electromotive force(EMF),and cogging torque are compared with the finite element analysis(FEA)and experimental results.The traditional complex relative permeance function method ignores the stator slot depth,and the calculation accuracy is low at the stator slot opening region.The proposed analytical model agrees with the FEA results,verifying the improved complex relative permeance function method.The air gap flux density,no-load back-EMF,and coggin

关 键 词：齿槽效应 改进复相对磁导函数 静态偏心 轴向磁通永磁电机 

分 类 号：TM351[电气工程—电机]