Analytical and numerical solution of the eddy-current problem in spherical coordinates based on the second-order vector potential formulation

Author

Theodoulidis, Theodoros P. ; Kantartzis, Nikolaos V. ; Tsiboukis, Theodoros D. ; Kriezis, Epameinondas E.

Author_Institution

Dept. of Electr. & Comput. Eng., Aristotelian Univ. of Thessaloniki, Greece

Volume

33

Issue

4

fYear

1997

fDate

7/1/1997 12:00:00 AM

Firstpage

2461

Lastpage

2472

Abstract

The three-dimensional (3-D) eddy-current problem, described in spherical coordinates, is studied both analytically and numerically. Since the vector field equation is not separable in the spherical coordinate system, the second-order vector potential (SOVP) formulation is used to treat the problem by reducing it to the solution of the scalar field equation. While the analytical solution is expressed in terms of known orthogonal expansions, the numerical solution utilizes the finite difference method. Examples of engineering applications are provided, concerning computation of eddy-current distribution in a conducting sphere by a filamentary excitation of arbitrary shape

Keywords

eddy currents; finite difference methods; analytical solution; conducting sphere; filamentary excitation; finite difference method; numerical solution; orthogonal expansion; scalar field equation; second-order vector potential; spherical coordinates; three-dimensional eddy-current distribution; Boundary conditions; Distributed computing; Eddy currents; Engine cylinders; Finite difference methods; Helium; Laplace equations; Magnetic separation; Performance analysis; Shape;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.595899

Filename

595899