Title :
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
fDate :
3/1/2002 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
