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Analysis, Probability, Applications, and Computation pp 71–81Cite as

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On the Passivity of the Delay-Rational Green’s-Function-Based Model for Transmission Lines

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Abstract

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.

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Author information

Authors and Affiliations

  1. Università degli Studi dell’Aquila, L’Aquila, Italy

    Giulio Antonini

  2. Luleå University of Technology, Luleå, Sweden

    Maria De Lauretis, Jonas Ekman & Elena Miroshnikova

Authors
  1. Giulio Antonini
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  2. Maria De Lauretis
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  3. Jonas Ekman
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  4. Elena Miroshnikova
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Karl‐Olof Lindahl

  2. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Torsten Lindström

  3. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

  4. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

  5. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Patrik Wahlberg

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Antonini, G., De Lauretis, M., Ekman, J., Miroshnikova, E. (2019). On the Passivity of the Delay-Rational Green’s-Function-Based Model for Transmission Lines. In: Lindahl, K., Lindström, T., Rodino, L., Toft, J., Wahlberg, P. (eds) Analysis, Probability, Applications, and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-04459-6_7

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