| 江鹏,骞耕,黄晓晓,张群,王平,关振群.基于滑移界面耦合技术的旋转电机磁场仿真方法[J].计算力学学报,2019,36(1):90~95 |
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| 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 |
| 投稿时间：2017-04-05 修订日期：2017-11-08 |
| DOI：10.7511/jslx20170405002 |
| 中文关键词: 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 |
| 英文关键词:Sliding interface nonconforming mesh Lagrange multiplier method multi-point constraint method edge element method mixed finite element method |
| 基金项目:国家自然科学基金（11272074）；国家重大科技专项（2011ZX02403-004）资助项目. |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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. |
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