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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2504.01599 |
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| _version_ | 1866908561781555200 |
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| author | Selvaratnam, Daniel Moreschini, Alessio Das, Amritam Parisini, Thomas Sandberg, Henrik |
| author_facet | Selvaratnam, Daniel Moreschini, Alessio Das, Amritam Parisini, Thomas Sandberg, Henrik |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01599 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Frequency-Domain Bounds for the Multiconductor Telegrapher's Equation Selvaratnam, Daniel Moreschini, Alessio Das, Amritam Parisini, Thomas Sandberg, Henrik Systems and Control 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. |
| title | Frequency-Domain Bounds for the Multiconductor Telegrapher's Equation |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2504.01599 |