基于子域分析模型的实心转子感应电机磁场解析  

Analytical Solution of Magnetic Field in Solid Rotor Induction Machine Based on Subdomain Model

作　　者：张守首 郭思源 Zhang Shoushou;Guo Siyuan(Bangor College Central South University of Forestry and Technology,Changsha 410018 China;State Grid Hunan Electric Power Company Limited Research Institute,Changsha 410007 China)

机构地区：[1]中南林业科技大学班戈学院,长沙410018 [2]国网湖南省电力有限公司电力科学研究院,长沙410007

出　　处：《电工技术学报》2021年第20期4285-4296,共12页Transactions of China Electrotechnical Society

基　　金：湖南省自然科学基金资助项目(2020JJ5988)。

摘　　要：子域分析技术作为一种简捷高效的磁场解析方法,已在电机恒定磁场解析领域获得广泛应用。该文以实心转子感应电机为例,将子域分析技术拓展到电机磁准静态场解析领域。在二维极坐标平面内,将实心转子感应电机求解区域划分为定子槽子域、气隙子域和实心转子子域,从而在复频域建立考虑定子开槽影响的实心转子感应电机精确子域解析模型。该解析模型着重求解实心转子子域的偏微分方程,根据运行方式的不同,分别给出同步运行和异步运行两种工况下的解析表达式。在解析计算结果的基础上,根据磁链法计算实心转子感应电机的运算电感。最后,通过二维时谐有限元分析验证了解析模型的准确性。As a simple and efficient method of magnetic field analysis,subdomain techniques have been widely used in the analytical calculation of constant magnetic field analysis for electrical machines.Taking the solid rotor induction machine as an example,the subdomain technique is extended to the field of magnetic quasi-static field analysis in this paper.The solver region of the solid rotor induction machine is divided into the stator slot domain,the air-gap domain and the solid rotor domain in the two-dimensional polar coordinate plane,thereby establishing an accurate subdomain model of the solid rotor induction machine considering the stator slotting effect in the complex frequency domain.The analytical model focuses on solving the partial differential equations of the solid rotor subdomain.According to the different operating modes,the analytical expressions for synchronous operation and asynchronous operation are given.Then,the operational inductance of the solid rotor induction machine is calculated by the flux linkage method.Finally,the accuracy of the analytical model is verified by two-dimensional harmonic finite element analysis.

关 键 词：实心转子感应电机 精确子域模型 磁场解析 定子开槽 运算电感 

分 类 号：TM351[电气工程—电机]