基于子域模型的高温超导绕组电机磁场解析计算  

Analytical calculation of magnetic field of high temperature superconducting winding motors based on subdomain model

作　　者：常勇[1] 包广清[1] 何婷 CHANG Yong;BAO Guang-qing;HE Ting(College of Electrical and Information Engineering,Lanzhou University of Technology,Lanzhou 730050,China;Gansu Institute of Natural Energy,Lanzhou 730046,China)

机构地区：[1]兰州理工大学电气工程与信息工程学院,甘肃兰州730050 [2]甘肃自然能源研究所,甘肃兰州730046

出　　处：《电机与控制学报》2022年第6期121-133,共13页Electric Machines and Control

基　　金：国家自然科学基金(51967012);甘肃省重点研发计划项目(20YF8GA055);兰州理工大学优秀博士学位论文培育计划;甘肃省科技计划项目(18ZD2WA007)。

摘　　要：为了研究高温超导绕组电机的磁场分布,提出一种磁场解析计算方法。根据超导电机结构特殊性,考虑超导材料特性,把超导电机的磁场作为线性稳定磁场处理。在二维平面坐标系中,对高温超导绕组电机磁场求解域进行子域划分,建立了各子域矢量磁位拉普拉斯方程或泊松方程。根据边界条件利用分离变量法分别求解各子域的拉普拉斯方程或泊松方程通解。将高温超导体的临界电流参数、电机极对数、高次谐波、每极每相槽数的影响作为附加约束条件,求解各个子域的矢量磁位和磁感应分量的解析表达式。计算了空载气隙磁密、空载反电动势和相关电磁性能参数,与有限元计算结果进行比较,结果表明该解析计算方法有效且准确,对超导块材和线材电机磁场分析、参数计算具有一定的参考意义。In order to study the magnetic field distribution of high-temperature superconducting(HTS) winding motor, a magnetic field analytical calculation method is proposed. According to the particularity of HTS motor structure, considering the characteristics of the superconducting material, the magnetic field of the superconducting motor was treated as a linear stable magnetic field. In the two-dimensional planar coordinate system, the magnetic field solution domain of the high-temperature superconducting winding motor was divided into several sub-domains, and the Laplace equation or Poisson equation of the vector magnetic potential of each subdomain was established. The general solution of the Laplace equation or Poisson equation in each sub-domain was solved by the method of separation of variables under boundary constraints. The parameters, pole pairs, high-order harmonics, the slot number per pole and phase of HTS were considered in solving the analytical expressions of vector magnetic potential and magnetic induction components in each sub-domain. The parameters such as air gap magnetic density, no-load electromotive force and armature winding induction reactance were calculated and compared with the results of finite element method.The results show that the analytical calculation is effective and accurate, which has certain reference significance for magnetic field analysis and parameter calculation of superconducting bulk and strip electrical machines.

关 键 词：高温超导绕组电机 分离变量法 气隙磁密 解析计算 子域解析方法 

分 类 号：TM154.1[电气工程—电工理论与新技术] TM37