Eddy-current computations using adaptive grids and edge elements

Author

Liu, Yueqiang ; Bondeson, A. ; Bergström, R. ; Johnson, C. ; Larson, M.G. ; Samuelsson, K.

Author_Institution

Dept. of Electromagn., Chalmers Univ. of Technol., Goteborg, Sweden

Volume

38

Issue

2

fYear

2002

fDate

3/1/2002 12:00:00 AM

Firstpage

449

Lastpage

452

Abstract

Results are presented from eddy-current computations using adaptive techniques, based on rigorous a posteriori error estimates. The adaptivity restores the quadratic convergence with grid size of the magnetic energy, despite singularities occurring at corners. A new procedure is introduced to satisfy the solvability condition for the curl-curl equation. The methods are applied to a model of a hydrogenerator, with anisotropic conductivity and permeability. The ungauged formulation with both vector and scalar potentials gives very significant improvements in rate of convergence for this problem. Reasons for the improved convergence are discussed

Keywords

boundary-elements methods; convergence of numerical methods; eddy currents; eigenvalues and eigenfunctions; hydroelectric generators; machine theory; magnetic permeability; a posteriori error estimates; adaptive grids; anisotropic conductivity; anisotropic permeability; curl-curl equation; eddy-current computations; edge elements; grid size; hydrogenerator; magnetic energy; quadratic convergence; scalar potentials; solvability condition; vector potentials; Anisotropic magnetoresistance; Bonding; Conductivity; Equations; Geometry; Grid computing; Magnetic anisotropy; Permeability; Perpendicular magnetic anisotropy; Piecewise linear techniques;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.996119

Filename

996119