A Variational Formulation for Nonconforming Sliding Interfaces in Finite Element Analysis of Electric Machines
A Variational Formulation for Nonconforming Sliding Interfaces in Finite Element Analysis of Electric Machines
复制标题
电机有限元分析中非协调滑动界面的变分公式
DOI：
10.1109/tmag.2010.2043075
复制
发表时间：
2010
影响因子：
2.1
通讯作者：
K. Hameyer
中科院分区：
文献类型：
--
作者：
E. Lange;F. Henrotte;K. Hameyer
本文提出了应用拉格朗日乘子法实现电机有限元仿真中定转子相对运动的方法。定子和转子区域之间的界面处的非一致性对时间或空间离散化没有限制。这种自由度对于域分解是非常有价值的。通过对拉格朗日乘子的对偶形函数的选择，可以保持线性系统的对称性、稀疏性和正定性。将该方法应用于永磁同步电机的二维仿真，并与气隙网格重新划分的一致动带法进行了比较。
This paper proposes the application of the Lagrange multiplier method to implement the relative motion of stator and rotor in the finite element (FE) simulations of electric machines. The nonconformity at the interface between stator and rotor regions imposes no restriction on time or space discretization. This freedom is highly valuable for domain decomposition. Through the choice of particular dual shape functions for the Lagrange multiplier, the symmetry, sparsity and positive definiteness of the linear system can be preserved. The method is applied to the 2-D simulation of a permanent magnet excited synchronous machine, and the results are compared with a conforming moving band approach with re-meshing of the air gap.