[en] Thin conductive magnetic shells are accounted for by means of two different time-domain magnetodynamic finite-element formulations, namely the magnetic field formulation and the magnetic vector potential formulation. Both approaches are an extension of the classical linear frequency-domain thin-shell approximation. The interface conditions for the magnetic field formulation and the vector potential formulation are expressed in terms of the average current density and the average flux density, respectively, together with a number of higher-order components of these quantities. The proposed time-domain thin-shell approaches are validated by means of a 3D magnetodynamic problem. The results are shown to agree well with those obtained with a fine model, whereas the computation time is significantly reduced.
Disciplines :
Electrical & electronics engineering
Author, co-author :
V Sabariego, Ruth ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Geuzaine, Christophe ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Dular, Patrick ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Gyselinck, Johan; Université Libre de Bruxelles - ULB > BEAMS
Language :
English
Title :
h- and a-Formulations for the Time-Domain Modelling of Thin Electromagnetic Shells
Publication date :
November 2008
Journal title :
IET Science, Measurement and Technology
ISSN :
1751-8822
eISSN :
1751-8830
Publisher :
Institution of Engineering & Technology, Hertford, United Kingdom
Krähenbühl, L., Muller, D., Thin layers in electrical engineering. Example of shell models in analyzing eddy-currents by boundary and finite element methods (1993) IEEE Trans. Magn., 29 (5), pp. 1450-1455. , (), 0018-9464
Mayergoyz, I.D., Bedrosian, G., On calculation of 3-D eddy currents in conducting and magnetic shells (1995) IEEE Trans. Magn., 31 (3), pp. 1319-1324. , (), 10.1109/20.376271 0018-9464
Geuzaine, C., Dular, P., Legros, W., Dual formulations for the modeling of thin electromagnetic shells using edge elements (2000) IEEE Trans. Magn., 36 (4), pp. 799-803. , (), 10.1109/20.877566 0018-9464
Bottauscio, O., Chiampi, M., Manzin, A., Transient analysis of thin layers for the magnetic field shielding (2006) IEEE Trans. Magn., 42 (4), pp. 871-874. , (), 10.1109/TMAG.2006.871442 0018-9464
Sabariego, R.V., Geuzaine, C., Dular, P., Gyselinck, J., Nonlinear time-domain finite-element modeling of thin electromagnetic shells (2008) Proc. 13th Biennial IEEE Conf. Electromagnetic Field Computation (CEFC2008), , Athens, Greece, May, 11-15
Nakata, T., Takahashi, N., Fujiwara, K., Imai, T., Effects of permeability of magnetic materials on errors of the T-ω method (1990) IEEE Trans. Magn., 26 (2), pp. 698-701. , (), 10.1109/20.106413 0018-9464
Saad, Y., Shultz, M.H., GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems (1986) SIAM J. Sci. Comput., 7 (3), pp. 856-869. , (), 1064-8275