Mathematical modelling of multi conductor cablesReport as inadecuate

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1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation Inria Saclay - Ile de France, ENSTA ParisTech UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231 2 M3DISIM - Mathematical and Mechanical Modeling with Data Interaction in Simulations for Medicine LMS - Laboratoire de mécanique des solides, Inria Saclay - Ile de France

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.

Keywords : Telegrapher models Maxwell equations Asymptotic analysis.

Author: Geoffrey Beck - Sebastien Imperiale - Patrick Joly -



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