基于滑移界面耦合技术的旋转电机磁场仿真方法  

Magnetic simulation method of rotating motor based on sliding interface coupling technique

作　　者：江鹏[1] 骞耕 黄晓晓 张群 王平[1] 关振群[1] JIANG Peng;QIAN Geng;HUANG Xiao-xiao;ZHANG Qun;WANG Ping;GUAN Zhen-qun(State Key Laboratory of Structural Analysis for Industrial Equipment,Department of Engineering Mechanics,Dalian University of Technology,Dalian 116024,China;INTESIM(Dalian)Co.,Ltd.,Dalian 116023,China)

机构地区：[1]大连理工大学工程力学系工业装备结构分析国家重点实验室,大连116024 [2]英特工程仿真技术(大连)有限公司,大连116023

出　　处：《计算力学学报》2019年第1期90-95,共6页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(11272074);国家重大科技专项(2011ZX02403-004)资助项目

摘　　要：提出了一种基于滑移界面耦合技术的旋转电机磁场仿真方法。首先,对旋转电机问题建立等效弱形式,用Lagrange乘子法施加Coulomb规范条件和滑移界面处的磁矢势连续性条件;然后,采用混合单元方法离散整个求解域中的未知量,采用棱边单元法离散滑移界面处的Lagrange矢量乘子,并采用多点约束法耦合滑移界面处的Lagrange标量乘子自由度,该方法无须在旋转电机模型的非匹配网格中构建生成树,即可自动保证磁矢势解的唯一性;最后,采用旋转线圈案例和简化的永磁同步电机案例验证了本文方法的有效性。This paper presents a new approach to numerical simulation of the magnetic field produced by a rotating motor based on sliding interface coupling technique.Firstly,the weak formulation of the rotating motor problem is established,in which the Coulomb gauge condition and continuity condition at the sliding interface are both imposed by Lagrange method.Then,the primary variables in the whole domain are discretized by a mixed finite element method;the vectorial Lagrange multiplier at the sliding interface is discretized by edge element method;multi-point constraint method is used to couple the scalar Lagrange multiplier at the sliding interface.By using the proposed method,the unique solution of the magnetic vector potential is satisfied automatically without constructing spanning tree for the nonconforming mesh of the rotating machine model.At last,numerical examples containing a rotating coil with excited current model and a simplified permanent magnet synchronous motor model are used to demonstrate the validity of the proposed method.

关 键 词：滑移界面 非匹配网格 LAGRANGE乘子法 多点约束法 棱边单元法 混合单元法 

分 类 号：O242.21[理学—计算数学] TM153.1[理学—数学]