A Variational Formulation for Nonconforming Sliding Interfaces in Finite Element Analysis of Electric Machines

被引：22

作者：

Lange, Enno ^{[1
]}

Henrotte, Francois ^{[1
]}

Hameyer, Kay ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Inst Elect Machines, D-52056 Aachen, Germany

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2010年 / 46卷 / 08期

关键词：

Bi-orthogonal shape functions; electric machines; finite element methods; sliding interfaces; LAGRANGE MULTIPLIER; MOVING STRUCTURES; EDDY CURRENTS; SPACES;

D O I：

10.1109/TMAG.2010.2043075

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：2755 / 2758

页数：4