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On the Passivity of the Delay-Rational Green’s-Function-Based Model for Transmission Lines
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
University of L'Aquila (Italy).
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Embedded Internet Systems Lab.ORCID iD: 0000-0003-0015-0431
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Embedded Internet Systems Lab.ORCID iD: 0000-0003-4160-214x
2017 (English)In: Analysis, Probability, Applications, and Computation: Proceedings of the 11th ISAAC Congress, Växjö (Sweden) 2017 / [ed] Karl‐Olof Lindahl, Torsten Lindström, Luigi G. Rodino, Joachim Toft, Patrik Wahlberg, Springer, 2017, p. 71-81Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, we study the delay-rational Green’s-function-based (DeRaG) model for transmission lines. This model is described in terms of impedance representation and it contains a rational and a hyperbolic part. The crucial property of transmission lines models is to be passive. The passivity of the rational part has been studied by the authors in a previous work. Here, we extend the results to the rational part of the DeRaG model. Moreover, we prove the passivity of the hyperbolic part.

Place, publisher, year, edition, pages
Springer, 2017. p. 71-81
Series
Trends in Mathematics, ISSN 2297-0215, E-ISSN 2297-024X
National Category
Engineering and Technology Other Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-68576DOI: 10.1007/978-3-030-04459-6_7Scopus ID: 2-s2.0-85065430825ISBN: 978-3-030-04458-9 (print)ISBN: 978-3-030-04459-6 (electronic)OAI: oai:DiVA.org:ltu-68576DiVA, id: diva2:1239916
Conference
11th ISAAC Congress; Växjö, Sverige, 14-18 augusti 2017
Available from: 2018-08-20 Created: 2018-08-20 Last updated: 2020-02-07Bibliographically approved

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Miroshnikova, ElenaDe Lauretis, MariaEkman, Jonas

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