Analysis of Nonuniform Transmission Lines With an Iterative and Adaptive Perturbation Technique

This paper presents an iterative and adaptive perturbation technique for the analysis of nonuniform transmission lines. Place-dependent variations of the per-unit-length parameters are interpreted as perturbations with respect to their average values along the line. This allows casting the governing...

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Bibliographic Details
Published in:IEEE transactions on electromagnetic compatibility 2016-06, Vol.58 (3), p.859-867
Main Authors: Manfredi, Paolo, De Zutter, Daniel, Ginste, Dries Vande
Format: Article
Language:English
Subjects:
Algorithms
Bundling
Cable bundles
crosstalk
Distributed parameter circuits
Electric power lines
Electric utilities
Iterative methods
Mathematical analysis
Mathematical model
Mathematical models
multiconductor transmission lines
Nonuniform
nonuniform transmission lines (NUTLs)
Perturbation methods
Power cables
Transmission line matrix methods
transmission line theory
Transmission lines
twisted wire pairs (TWPs)
Wires
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Summary:This paper presents an iterative and adaptive perturbation technique for the analysis of nonuniform transmission lines. Place-dependent variations of the per-unit-length parameters are interpreted as perturbations with respect to their average values along the line. This allows casting the governing equations for the corresponding perturbations of the voltages and currents as those of a uniform transmission line with distributed sources. Therefore, standard transmission line theory is used to calculate these perturbation terms. Specifically, perturbations of increasing order are computed iteratively starting from the solution of the unperturbed line. The accuracy is adaptively adjusted by setting a threshold on the convergence of the solution. The algorithm turns out to be simple to implement and very accurate, yet faster than traditional approaches based on the discretization of the line into uniform sections. The technique is validated through the analysis of several nonuniform transmission line structures of relevance in EMC applications, namely uniformly and nonuniformly twisted wire pairs as well as a cable bundle with lacing cords.
ISSN:0018-9375
1558-187X
DOI:10.1109/TEMC.2016.2523604