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Passivity-Preserving Balanced Truncation Model Reduction of Circuit Equations

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Scientific Computing in Electrical Engineering SCEE 2008

Part of the book series: Mathematics in Industry ((TECMI,volume 14))

Abstract

We consider passivity-preserving model reduction of circuit equations using the bounded real balanced truncation method applied to a Moebius-transformed system. This method is based on balancing the solutions of the projected Lur’e or Riccati matrix equations. We also discuss their numerical solution exploiting the underlying structure of circuit equations. A numerical example is given.

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Author information

Authors and Affiliations

  1. Institut für Mathematik, MA 4-5, TU Berlin, Straße des 17. Juni 136, 10623, Berlin, Germany

    Tatjana Stykel & Timo Reis

Authors
  1. Tatjana Stykel
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  2. Timo Reis
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Correspondence to Tatjana Stykel .

Editor information

Editors and Affiliations

  1. , Faculty of Electronics, Communications a, Aalto University School of Science and T, AALTO, 00076, Finland

    Janne Roos

  2. , Faculty of Electronics, Communications a, Aalto University School of Science and T, AALTO, 00076, Finland

    Luis R.J. Costa

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Stykel, T., Reis, T. (2010). Passivity-Preserving Balanced Truncation Model Reduction of Circuit Equations. In: Roos, J., Costa, L. (eds) Scientific Computing in Electrical Engineering SCEE 2008. Mathematics in Industry(), vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12294-1_59

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