FDM-based second order vector potential formulation for 3D eddy current curvilinear problems

Author

Theodoulidis, T.P. ; Kantartzis, N.V. ; Tsiboukis, T.D. ; Kriezis, E.E.

Author_Institution

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

Volume

33

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

1287

Lastpage

1290

Abstract

The eddy current computation in 3D steady-state problems can be derived from the solution of the vector Helmholtz equation for the magnetic vector potential. The implementation of the finite difference method to the second order vector potential (SOVP) formulation is studied. The method is developed for the numerical solution of 3D eddy current curvilinear problems. The performance is verified for two test cases described, in the cylindrical and spherical coordinate systems. The numerical results, tested against analytical solutions, indicate the technique´s robustness as well as considerable savings in computational cost

Keywords

Helmholtz equations; eddy currents; electric potential; finite difference methods; 3D eddy current curvilinear problems; 3D steady-state problems; FDM; analytical solutions; computational cost savings; cylindrical coordinate systems; finite difference method; magnetic vector potential; numerical results; numerical solution; performance; robustness; second order vector potential; spherical coordinate systems; vector Helmholtz equation; Computational efficiency; Eddy currents; Geometry; Laplace equations; Magnetic flux; Magnetic flux density; Magnetic separation; Robustness; Steady-state; System testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.582490

Filename

582490