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 Self-inductance coefficient for toroidal thin conductorsAmirat Y., Touzani R.Nonlinear Analysis Theory Methods and Applications 47 (2001) 3295-3305 - http://hal.archives-ouvertes.fr/hal-00088320
Article in peer-reviewed journal
Mathematics/Analysis of PDEs
Self-inductance coefficient for toroidal thin conductors
Youcef Amirat () 1, Rachid Touzani () 1
 1: Laboratoire de Mathématiques http://math.univ-bpclermont.fr/index.html CNRS : UMR6620 – Université Blaise Pascal - Clermont-Ferrand II 24 avenue des Landais 63177 AUBIERE CEDEX France
We consider the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter $\eps>0$. An explicit form of the singular part of the corresponding potential $u\ue$ is given. This allows to construct the limit potential $u$ (as $\eps\to 0$) and an approximation of the inductance coefficient $L\ue$. We establish some estimates of the deviation $u\ue-u$ and of the error of approximation of the inductance. The main result shows that $L\ue$ behaves asymptotically as $\ln\eps$, when $\eps\to 0$.
English
2001

Nonlinear Analysis Theory Methods and Applications
2001
47
3295-3305

Asymptotic behaviour – self inductance – eddy currents – thin domain

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 hal-00088320, version 1 http://hal.archives-ouvertes.fr/hal-00088320 oai:hal.archives-ouvertes.fr:hal-00088320 From: Rachid Touzani <> Submitted on: Tuesday, 1 August 2006 13:32:47 Updated on: Tuesday, 1 August 2006 13:38:53