Eddy current interaction between a probe coil and a conducting plate

Marion Darbas (1) , Edouard Demaldent (2) , Olivier Goubet (1) , Vianney Real (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée
2 LIST (CEA) - Laboratoire d'Intégration des Systèmes et des Technologies

Consider a coil above a conducting plate. The interaction between the probe-coil and the plate is modeled by a quasi-static approximation of Maxwell's equations: the eddy current model. The associated electromagnetic transmission boundary-value problem can be solved by the integral equations method. However, the discretization of integral operators gives dense, complex and ill-conditioned linear systems. We present here a method to compute the reaction field and the coil impedance variation by solving only surface partial differential equations.

Mots clés: Eddy currents; integral equations; Padé approximation

Domaines: Analyse numérique [math.NA]; Mécanique [physics]; Sciences de l'ingénieur [physics]

Marion Darbas, Edouard Demaldent, Olivier Goubet, Vianney Real. Eddy current interaction between a probe coil and a conducting plate. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. ⟨hal-00855873⟩