Orthogonality of the eigenfunctions of the plane transient eddy current problem

Issue title: ISTET '01

Article type: Research Article

Authors: Ehrich, Matthias^{a; *} | Fichte, Lars Ole^a | Lüer, Michael^a

Affiliations: [a] Department of Allgemeine und Theoretische Elektrotechnik, Universität der Bundeswehr Hamburg, P.O. Box 700822, D-22008 Hamburg, Germany. Tel.: +49 40 65412760; Fax: +49 40 65412822

Correspondence: [*] Corresponding author

Abstract: 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 eigenfunctions 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.

DOI: 10.3233/JAE-2003-247

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 17, no. 1-3, pp. 45-58, 2003