2025/04/02 by Daniel Selvaratnam, Alessio Moreschini, Selvaratnam, Daniel +7
Engineering · Mathematics · Physics and Astronomy · #Electromagnetic Simulation and Numerical Methods #Numerical methods for differential equations #Electromagnetic Scattering and Analysis
paper · pdf · doi:10.48550/arxiv.2504.01599
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.