Frequency-Domain Bounds for the Multiconductor Telegrapher's Equation
Abstract
We establish mathematical bounds on the chain, ABCD and immittance matrices of a multiconductor transmission line, based on the Telegrapher's equation. Closed-form expressions for those matrices are also presented. Existing results that hold on the imaginary axis are extended to the complex plane, without reliance on a diagonalizability assumption that is prevalent in the literature. Therefore, the results remain valid under arbitrary arrangements of the conducting wires, which include electrical faults. The analysis ultimately reveals important system-theoretic implications of the Telegrapher's equation, which are of general relevance to control, power systems, and signal processing involving multiconductor transmission lines.
Cite
@article{arxiv.2504.01599,
title = {Frequency-Domain Bounds for the Multiconductor Telegrapher's Equation},
author = {Daniel Selvaratnam and Alessio Moreschini and Amritam Das and Thomas Parisini and Henrik Sandberg},
journal= {arXiv preprint arXiv:2504.01599},
year = {2025}
}
Comments
First revision: 10 pages, 1 figure