Mathematical modelling of multi conductor cables

Geoffrey Beck; Sebastien Imperiale; Patrick Joly

doi:10.3934/dcdss.2015.8.521

Mathematical modelling of multi conductor cables

Laboratoire POems UMR 7231 CNRS-INRIA-ENSTA, ENSTA-UMA
INRIA

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	521-546
Number of pages	26
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	8
Issue number	3
DOIs	https://doi.org/10.3934/dcdss.2015.8.521
Publication status	Published - 1 Jun 2015

Keywords

Asymptotic analysis
Maxwell equations
Telegrapher models

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10.3934/dcdss.2015.8.521

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title = "Mathematical modelling of multi conductor cables",

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 = "Asymptotic analysis, Maxwell equations, Telegrapher models",

author = "Geoffrey Beck and Sebastien Imperiale and Patrick Joly",

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T1 - Mathematical modelling of multi conductor cables

AU - Beck, Geoffrey

AU - Imperiale, Sebastien

AU - Joly, Patrick

PY - 2015/6/1

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N2 - 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.

AB - 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.

KW - Asymptotic analysis

KW - Maxwell equations

KW - Telegrapher models

UR - https://www.scopus.com/pages/publications/84907483859

U2 - 10.3934/dcdss.2015.8.521

DO - 10.3934/dcdss.2015.8.521

M3 - Article

AN - SCOPUS:84907483859

SN - 1937-1632

VL - 8

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EP - 546

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

IS - 3

ER -

Mathematical modelling of multi conductor cables

Abstract

Keywords

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