Eur. Phys. J. AP
Volume 14, Number 3, June 2001
|Page(s)||165 - 169|
|Section||Nanomaterials and Nanotechnologies|
|Published online||15 June 2001|
The simulation of magnetic problems with combined fast and slow dynamics using a transient time-harmonic method*
Katholieke Universiteit Leuven, Dep. EE (ESAT), Div. ELEN, Kasteelpark Arenberg
10, 3001 Heverlee, Belgium
Corresponding author: firstname.lastname@example.org
Revised: 20 February 2001
Accepted: 20 February 2001
Published online: 15 June 2001
An interesting method based on a variable splitting into two time-scales, the “transient time harmonic method” is proposed allowing to compute transient phasor solutions of problems involving slow, close to quasi-static and fast dynamics simultaneously, yielding stiff properties. The time-step of the dynamic problem can be chosen larger than the fundamental time interval, resulting in an “envelope” model for the problem with the small time constant. The derivation of the FEM matrices is discussed. Examples, including a transformer operating a slow varying load and a transient coupled electromagnetic-thermal problem, are discussed.
PACS: 41.20.Gz – Magnetostatics; magnetic shielding, magnetic induction, boundary-value problem / 02.70.Dh – Finite-element and Galerkin methods / 84.30.Jc – Power electronics; power supply circuits
© EDP Sciences, 2001
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