[en] Eddy current problems are addressed in a bidimensional setting where the conducting medium is non-magnetic and has a corner singularity. For any fixed parameter linked to the skin depth for a plane interface, we show that the flux density is bounded near the corner unlike the perfect conducting case. Then as goes to zero, the first two terms of a multiscale expansion of the magnetic potential are introduced to tackle the magneto-harmonic problem. The heuristics of the method are given and numerical computations illustrate the obtained accuracy.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Buret, François; Université de Lyon > Laboratoire Ampère
Dauge, Monique
Dular, Patrick ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Krähenbühl, Laurent; Université de Lyon > Laboratoire Ampère
Péron, Victor; INRIA Bordeaux-Sud-Ouest > LMAP
Perrussel, Ronan; Université de Toulouse > LAPLACE
Poignard, Clair; Université Bordeaux > IMB
Voyer, Damien; Université de Lyon > Laboratoire Ampère
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
Bibliography
K. Schmidt, O. Sterz, and R. Hiptmair, "Estimating the eddy-current modelling error," IEEE Trans. Magn., vol. 44, no. 6, pp. 686-689, Jun. 2008.
G. Caloz, M. Dauge, and V. Péron, "Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism," J. Math. Anal. Appl., vol. 370, no. 2, pp. 555-572, 2010.
S. Yuferev, L. Proekt, and N. Ida, "Surface impedance boundary conditions near corner and edges: Rigorous consideration," IEEE Trans. Magn., vol. 37, no. 5, pp. 3465-3468, Nov. 2001.
E. Deeley, "Surface impedance near edges and corners in three-dimensional media," IEEE Trans. Magn., vol. 26, no. 2, pp. 712-714, Mar. 1990.
V. A. Kondratiev, "Boundary value problems for elliptic equations in domains with conical or angular points," Trudy Moskov. Mat. Obv sv c., vol. 16, pp. 209-292, 1967.
I. Ciuperca, R. Perrussel, and C. Poignard, "Influence of a rough thin layer on the steady-state potential," IEEE Trans. Magn., vol. 46, no. 8, pp. 2823-2826, Aug. 2010.
L. Krähenbühl et al., "Numerical treatment of rounded and sharp corners in the modeling of 2D electrostatic fields," JMOe vol. 10, no. 1, pp. 66-81, 2011 [Online]. Available: http://www.jmoe.org
This website uses cookies to improve user experience. Read more
Save & Close
Accept all
Decline all
Show detailsHide details
Cookie declaration
About cookies
Strictly necessary
Performance
Strictly necessary cookies allow core website functionality such as user login and account management. The website cannot be used properly without strictly necessary cookies.
This cookie is used by Cookie-Script.com service to remember visitor cookie consent preferences. It is necessary for Cookie-Script.com cookie banner to work properly.
Performance cookies are used to see how visitors use the website, eg. analytics cookies. Those cookies cannot be used to directly identify a certain visitor.
Used to store the attribution information, the referrer initially used to visit the website
Cookies are small text files that are placed on your computer by websites that you visit. Websites use cookies to help users navigate efficiently and perform certain functions. Cookies that are required for the website to operate properly are allowed to be set without your permission. All other cookies need to be approved before they can be set in the browser.
You can change your consent to cookie usage at any time on our Privacy Policy page.