FEA of electromagnetics: a geometrical approach for problems with plane symmetry

Author

Rossi, Luiz Natal ; Cardoso, José Roberto ; Silva, Viviane Cristine ; Lebensztajn, Luiz ; da Silva, J.A.P.

Author_Institution

Escola Politecnica, Sao Paulo Univ., Brazil

Volume

38

Issue

2

fYear

2002

fDate

3/1/2002 12:00:00 AM

Firstpage

1313

Lastpage

1316

Abstract

A geometrical approach for finite-element analysis of electromagnetic phenomena exhibiting plane symmetry is developed. The proposed method is developed for first-order triangular meshes. Electromagnetic fields inside any given triangular element are calculated as a linear combination of vectors associated with the sides of the element. The element stiffness matrix can be obtained from another matrix whose coefficients are the dot products of vectors associated with the sides of the triangle. This matrix is derived by applying the integral form of Maxwell´s equations to contours suitably chosen in the finite-element mesh. The method is suitable for teaching finite-element analysis in electromagnetics at undergraduate level

Keywords

eddy currents; electrical engineering education; electromagnetic wave propagation; electromagnetism; finite element analysis; magnetostatics; matrix algebra; symmetry; waveguide theory; EM fields; EM wave propagation; FEA; FEM; Maxwell equations; eddy currents; electromagnetic phenomena; electromagnetics; element stiffness matrix; finite-element analysis; first-order triangular meshes; geometrical approach; magnetostatics; matrix coefficients; plane symmetry; undergraduate level teaching; vectors; waveguides; Calculus; Education; Electrical engineering; Electromagnetic analysis; Electromagnetic fields; Finite element methods; Integral equations; Maxwell equations; Shape; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.996335

Filename

996335