Special finite element shape functions for axisymmetric magnetic problems

Author

Gratkowski, Stanislaw R.

Author_Institution

Dept. of Electr. Eng., Tech. Univ. of Szczecin, Poland

Volume

29

Issue

6

fYear

1993

fDate

11/1/1993 12:00:00 AM

Firstpage

2398

Lastpage

2400

Abstract

New infinite elements which can be used for a solution of axisymmetric magnetic problems with open boundaries are presented. It is supposed that the new elements are being developed for the vector potential A(r,z) and the modified vector potential rA formulation. The elements can represent any type of decay towards infinity, and the element matrix when the decay function is 1/ρⁿ, n⩾1, ρ²=r ²+z² is given explicity. Standard finite elements for the rA formulation yield very inaccurate results near r =0. The introduction, close to the symmetry axis, of so-called axial elements with special shape functions is proposed. The formulation is so simple that closed-form expressions for the element matrix are obtained. Numerical results are presented for a problem having an analytical solution

Keywords

Maxwell equations; finite element analysis; magnetostatics; axial elements; axisymmetric magnetic problems; closed-form expressions; element matrix; finite element shape functions; modified vector potential; open boundaries; symmetry axis; vector potential; Finite element methods; H infinity control; Magnetic analysis; Magnetic anisotropy; Magnetic domains; Magnetostatics; Maxwell equations; Perpendicular magnetic anisotropy; Shape; Testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.281004

Filename

281004