Mathematical modelling of multi conductor cables

Geoffrey Beck; Sebastien Imperiale; Patrick Joly

doi:10.3934/dcdss.2015.8.521

Article Contents

2015, Volume 8, Issue 3: 521-546. Doi: 10.3934/dcdss.2015.8.521

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Mathematical modelling of multi conductor cables

1.
POEMS, INRIA - CNRS:UMR7231 - ENSTA ParisTech, ENSTA ParisTech, 828 Boulevard des Maréchaux, 91762 Palaiseau
2.
M3DISIM, INRIA, Alan Turing, 1 rue Honoré d'Estienne d'Orves, 91120 Palaiseau

Received: November 30, 2013

Revised: February 28, 2014

Published: June 2015

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Abstract

This paper proposes a formal justification of simplified 1D models for the propagation of electromagnetic waves in thin non-homogeneous lossy conductor cables. Our approach consists in deriving these models from an asymptotic analysis of 3D Maxwell's equations. In essence, we extend and complete previous results to the multi-wires case.

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Mathematics Subject Classification: 35L05, 35A35, 73R05, 35A40.

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