Modelling moving conductor eddy current problems with edge elements

Author

Liu, Zhenning ; Dawson, Graham E. ; Eastham, Tony R. ; Webb, Jon P.

Author_Institution

Dept. of Electr. & Comput. Eng., Queen´´s Univ., Kingston, Ont., Canada

Volume

31

Issue

6

fYear

1995

fDate

11/1/1995 12:00:00 AM

Firstpage

3521

Lastpage

3523

Abstract

In this paper, the edge element concept is applied for the first time to model moving conductor eddy current problems. A new Galerkin weak formulation in terms of H is proposed and validated by a 2D example with analytical solutions. The problem of a unique solution and the cause of errors at high Peclet numbers are studied. It is shown that errors can be reduced through mesh refinement for the boundary layer region. In addition to the advantages associated with the use of edge elements, the most attractive feature of this new formulation lies in its possible elimination of the spurious numerical oscillations, which allows one to use the standard Galerkin method to solve the problem

Keywords

Galerkin method; boundary-elements methods; eddy currents; error analysis; Galerkin weak formulation; Peclet numbers; edge element; error reduction; mesh refinement; moving conductor eddy current; spurious numerical oscillation elimination; unique solution; Conductors; Eddy currents; Equations; Frequency; Magnetic fields; Mathematical model; Permeability; Shape; Skin;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.489556

Filename

489556