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An accurate time‐domain model of transmission lines with frequency‐dependent parameters
Author(s) -
Maffucci Antonio,
Miano Giovanni
Publication year - 2000
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/(sici)1097-007x(200005/06)28:3<263::aid-cta108>3.0.co;2-m
Subject(s) - electric power transmission , impulse response , transmission line , time domain , frequency domain , skin effect , mathematical analysis , convolution (computer science) , impulse (physics) , conductor , lossy compression , transfer function , mathematics , physics , electronic engineering , acoustics , computer science , engineering , telecommunications , electrical engineering , geometry , statistics , quantum mechanics , machine learning , artificial neural network , computer vision
Linear lossy two‐conductor transmission line can be modelled as dynamic two ports in the time domain, via the describing input and transfer impulse responses. This convolution technique is very effective when dealing with networks composed of transmission lines with frequency‐dependent parameters and non‐linear and/or time‐varying circuits. The paper carries out an accurate analysis of this model, in the most general case of lines with frequency‐dependent parameters. For such lines it is not possible to evaluate analytically the impulse responses, nor is it possible to catch them numerically, due to the presence of irregular terms , such as Dirac pulses, terms that numerically behave as Dirac pulses, and functions of the type 1/ t ρ with 0 < ρ <1. A simple method is proposed to evaluate exactly all the irregular terms of the impulse responses: once these irregular parts have been extracted, the regular remainders are easily evaluated numerically. This method is applied to analyse lines with frequency‐dependent parameters of practical interest, such as superconductor transmission lines, power lines above a finite conductivity ground, lines with frequency‐dependent dielectric losses and lines with normal and anomalous skin‐effect. Numerical simulations are carried out for illustration. Copyright © 2000 John Wiley & Sons, Ltd.