Frequency-domain bounds for the multiconductor telegrapher's equation
File(s)
Author(s)
Selvaratnam, Daniel
Moreschini, Alessio
Das, Amritam
Parisini, Thomas
Sandberg, Henrik
Type
Journal Article
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.
Date Issued
2026-07-01
Date Acceptance
2026-01-30
Citation
IEEE Transactions on Circuits and Systems I: Regular Papers, 2026, 73 (7), pp.4675-4685
ISSN
1549-8328
Publisher
Institute of Electrical and Electronics Engineers
Start Page
4675
End Page
4685
Journal / Book Title
IEEE Transactions on Circuits and Systems I: Regular Papers
Volume
73
Issue
7
Copyright Statement
© 2026 The Authors. This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. For more information, see https://creativecommons.org/licenses/by-nc-nd/4.0/
Publication Status
Published
Date Publish Online
2026-03-03