[en] Purpose - This paper seeks to develop a sub-domain perturbation technique to efficiently calculate strong skin and proximity effects in conductors within frequency and time domain finite element (FE) analyses. Design/methodology/approach - A reference eddy current FE problem is first solved by considering perfect conductors. This is done via appropriate boundary conditions (BCs) on the conductors. Next the solution of the reference problem gives the source for eddy current FE perturbation sub-problems in each conductor then considered with a finite conductivity. Each of these problems requires an appropriate volume mesh of the associated conductor and its surrounding region. Findings - The skin and proximity effects in both active and passive conductors can be accurately determined in a wide frequency range, allowing for precise losses calculations in inductors as well as in external conducting pieces. Originality/value - The developed method allows one to accurately determine the current density distributions and ensuing losses in conductors of any shape, not only in the frequency domain but also in the time domain. Therefore, it extends the domain of validity and applicability of impedance-type BC techniques. It also offers an original way to uncouple FE regions that allows the solution process to be lightened, as well as efficient parameterized analyses on the signal form and the conductor characteristics.
Disciplines :
Materials science & engineering
Author, co-author :
Dular, Patrick ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
V Sabariego, Ruth ; 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 - Bio-, Electro- And Mechanical Systems
Krähenbühl; Université de Lyon - Lyon, France > Ecole Centrale de Lyon > Laboratoire Ampère
Language :
English
Title :
Sub-domain finite element method for efficiently considering strong skin and proximity effects
Publication date :
2007
Journal title :
COMPEL
ISSN :
0332-1649
eISSN :
2054-5606
Publisher :
Emerald Group Publishing Limited, Bradford, United Kingdom
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Bibliography
Badics, Z. et al. (1997), "An effective 3D finite element scheme for computing electromagnetic field distortions due to defects in eddy-current nondestructive evaluation", IEEE Trans. Magn., Vol. 33 No. 2, pp. 1012-20.
Dular, P., Gyselinck, J., Henneron, T. and Piriou, F. (2005), "Dual finite element formulations for lumped reluctances coupling", IEEE Trans. Magn., Vol. 41 No. 5, pp. 1396-9.
Dular, P., Kuo-Peng, P., Geuzaine, C., Sadowski, N. and Bastos, J.P.A. (2000), "Dual magnetodynamic formulations and their source fields associated with massive and stranded inductors", IEEE Trans. Magn., Vol. 36 No. 4, pp. 3078-81.
Geuzaine, C., Meys, B., Henrotte, F., Dular, P. and Legros, W. (1999), "A Galerkin projection method for mixed finite elements", IEEE Trans. Magn., Vol. 35 No. 3, pp. 1438-41.
Krähenbühl, L. and Muller, D. (1993), "Thin layers in electrical engineering. Example of shell models in analyzing eddy-currents by boundary and finite element methods", IEEE Trans. Magn., Vol. 29 No. 2, pp. 1450-5.
Sabariego, R.V. and Dular, P. (2005), "A perturbation technique for the finite element modelling of nondestructive eddy current testing", Proceedings of International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering (ISEF), 15-17 September, CD-ROM, paper CE-2.5, 7 pp.
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