Orthogonality of the eigenfunctions of the plane transient eddy current problem

被引:0
|
作者
Ehrich, M [1 ]
Fichte, LO [1 ]
Lüer, M [1 ]
机构
[1] Univ Bundeswehr Hamburg, Dept Allgemeine & Theoret Elektrotech, D-22008 Hamburg, Germany
关键词
D O I
10.3233/JAE-2003-247
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
The plane transient eddy current problem of a system of N arbitrary conductors with different magnetic permeability is solved in the time domain by time-separation. This leads to an eigenvalue problem which we treat by evaluating several volume and boundary integral equations for the vector potential. It is shown that the eigen functions of the different integral equations form complete orthogonal systems. As examples of application we calculate the transient behavior of the conductor system after connecting it to sources of direct voltage or direct current at time t = 0.
引用
收藏
页码:45 / 58
页数:14
相关论文
共 50 条
  • [21] Uniqueness and stability of solution to the linear transient eddy current electromagnetic field problem for determining solution
    Xie, Li
    Lei, Yin-Zhao
    Wuli Xuebao/Acta Physica Sinica, 2006, 55 (09): : 4398 - 4406
  • [22] Fully discrete potential-based finite element methods for a transient eddy current problem
    Tong Kang
    Kwang Ik Kim
    Computing, 2009, 85 : 339 - 362
  • [23] Fully discrete potential-based finite element methods for a transient eddy current problem
    Kang, Tong
    Kim, Kwang Ik
    COMPUTING, 2009, 85 (04) : 339 - 362
  • [24] Analysis of a transient nonlinear 3-D eddy current problem with differential and integral methods
    Albanese, R
    Rubinacci, G
    Canali, M
    Stangherlin, S
    Musolino, A
    Raugi, M
    IEEE TRANSACTIONS ON MAGNETICS, 1996, 32 (03) : 776 - 779
  • [25] THE COMPUTATION OF TRANSIENT 2-D EDDY-CURRENT PROBLEM BY DOMAIN DECOMPOSITION ALGORITHMS
    BOGLAEV, IP
    SIROTKIN, VV
    LAVERS, JD
    MATHEMATICAL AND COMPUTER MODELLING, 1995, 21 (03) : 39 - 51
  • [26] Numerical solution of transient 2-D eddy current problem by domain decomposition algorithms
    Univ of Toronto, Toronto, Canada
    IEEE Trans Magn, 3 /1 (1413-1416):
  • [27] Uniqueness and stability of solution to the linear transient eddy current electromagnetic field problem for determining solution
    Li, Xie
    Yin-Zhao, Lei
    ACTA PHYSICA SINICA, 2006, 55 (09) : 4397 - 4406
  • [28] Numerical solution of transient 2-D eddy current problem by domain decomposition algorithms
    Lavers, D
    Boglaev, I
    Sirotkin, V
    IEEE TRANSACTIONS ON MAGNETICS, 1996, 32 (03) : 1413 - 1416
  • [29] Optimal convergence analysis for a FEM approximation of a transient eddy current problem incorporating velocity terms
    Acevedo, Ramiro
    Arias, Carlos
    Gomez, Christian
    RESULTS IN APPLIED MATHEMATICS, 2024, 23
  • [30] FORMULATION OF THE EDDY-CURRENT PROBLEM
    ALBANESE, R
    RUBINACCI, G
    IEE PROCEEDINGS-A-SCIENCE MEASUREMENT AND TECHNOLOGY, 1990, 137 (01): : 16 - 22