Hostname: page-component-7479d7b7d-q6k6v Total loading time: 0 Render date: 2024-07-13T00:10:10.107Z Has data issue: false hasContentIssue false
  • English
  • Français

Coupling t-ϕ formulation with surface impedance boundary condition for eddy current crack detection

Published online by Cambridge University Press:  21 October 2010

C. Guérin ,
G. Meunier  and
F. Foucher
C. Guérin*
Affiliation:
Cedrat S.A. 15, Chemin de Malacher, 38246 Meylan Cedex, France
G. Meunier
Affiliation:
Laboratoire de Génie Électrique de Grenoble, G2Elab, UMR 5269 INPG-UJF-CNRS, ENSIEG –, BP 46, 38402 Saint-Martin-d'Hères Cedex, France
F. Foucher
Affiliation:
Cedrat S.A. 15, Chemin de Malacher, 38246 Meylan Cedex, France
*
Christophe.Guerin@cedrat.comGerard.Meunier@g2elab.inpg.frFabrice.Foucher@cedrat.com
Get access

Abstract

We present in this paper a 3D electromagnetic formulation to describe two conductors in electric contact with each other, submitted to the field of a coil in which an AC current is flowing. One of the two conductors is described by the t-ϕ formulation, the other conductor is described by the surface impedance boundary condition. The proposed coupled formulation has been validated with a numerical example with a simple geometry. This coupled formulation has then been applied to a numerical example on which a crack has to be detected. It is composed of a non magnetic tube embedded in a thick steel tube sheet, submitted to the field of a coil.

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 52 , Issue 2: Focus on Numelec , November 2010 , 23302
Copyright
© EDP Sciences, 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Preston, T.W., Reece, A.B.J., IEEE Trans. Magn. 18, 486 (1982) CrossRef
Nakata, T., Takahashi, N., Fujiwara, K., Okada, Y., IEEE Trans. Magn. 24, 94 (1988) CrossRef
Bouillaut, F., Ren, Z., Razek, A., IEEE Trans. Magn. 26, 478 (1990)
Webb, J.P., Forghani, B., Proc. IEE Sci. Meas. Technol. 142, 133 (1995) CrossRef
Biro, O., Preis, K., IEEE Trans. Magn. 25, 3145 (1989) CrossRef
Bossavit, A., IEEE Trans. Magn. 24, 74 (1988) CrossRef
Y. Le Floch, Ph.D. thesis, Institut National Polytechnique de Grenoble (INPG), 2002
Meunier, G., Le Floch, Y., Guérin, C., IEEE Trans. Magn. 39, 1729 (2003) CrossRef
Meunier, G., Le Floch, Y., Guérin, C., RIGE 8, 9 (2005)
Hoole, S.R.H., Carpenter, C.J., IEEE Trans. Magn. 21, 1841 (1985) CrossRef
Tanneau, G., IEEE Trans. Magn. 24, 467 (1988) CrossRef
Rodger, D., Leonard, P.J., Lai, H.C., Hill-Cottingham, R.J., IEEE Trans. Magn. 27, 4995 (1991) CrossRef
C. Guérin, Ph.D. thesis, Institut National Polytechnique de Grenoble (INPG), 1994
C. Guérin, G. Meunier, G. Tanneau, IEEE Trans. Magn. 32, 808 (1996)
Krähenbühl, L., Fabrègue, O., Wanser, S., De Sousa Di, M.as, A. Nicolas, IEEE Trans. Magn. 33, 1167 (1997)
Meunier, G., Le Floch, Y., Guérin, C., COMPEL 27, 64 (2008) CrossRef
Guérin, C., Meunier, G., Le Floch, Y., RIGE 11, 149 (2008)
Louai, F.-Z., Benzerga, D., Feliachi, M., Bouillault, F., IEEE Trans. Magn. 32, 812 (1996) CrossRef
R.L. Stoll, The analysis of eddy currents (Clarendon Press, Oxford, 1974)
P. Dular, F. Piriou, in Modèles et formulations en électromagnétisme, Traité EGEM (Hermès Science, Lavoisier, 2002)
A. Bossavit, EDF R&D, Clamart, Report No. HI70/6284, 1989
Albanese, R., Rubinacci, G., Int. J. Num. Meth. Eng. 29, 453 (1990)
Doucet, C., Charpentier, I., Coulomb, J.L., Guérin, C., Le Floch, Y., Meunier, G., COMPEL 27, 897 (2008) CrossRef
Flux $^{\circledR}$ , Cedrat, www.cedrat.com