Abstract

Finite integration implicit time domain (FI/sup 2/TD) schemes for magneto-quasistatic problems so far have been developed for a magnetic field description based on a modified vector potential formulation. This paper introduces a reduced vector potential formulation for these schemes, where the magnetic field is additively decomposed into a source part originating from the exciting coil currents and a part resulting from the presence of eddy currents due to electric conductivity and/or the nonlinear material behaviour. Numerical tests for 3D transient problems show an improved convergence behaviour of the iterative conjugate gradient (CG) algorithm. with respect to the new formulation.

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