A Numerical Approach for Nonlinear Dynamical Circuits with Jumps

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

  • Tina Thiessen
  • Martin Gutschke
  • Philipp Blanke
  • Wolfgang Mathis
  • Franz Erich Wolter
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Details

Original languageEnglish
Title of host publication20th European Conference on Circuit Theory and Design
Subtitle of host publication ECCTD 2011
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages461-464
Number of pages4
ISBN (electronic)978-1-4577-0616-5, 978-1-4577-0618-9
ISBN (print)978-1-4577-0617-2
Publication statusPublished - 2011
Event2011 20th European Conference on Circuit Theory and Design, ECCTD 2011 - Linkoping, Sweden
Duration: 29 Aug 201131 Aug 2011

Abstract

A special class of nonlinear electronic circuits exhibits jump effects which occurs e.g. when the state space of an electronic system contains a fold. This can lead to difficulties during the simulation of these systems with standard circuit simulators. A common treatment to overcome these problems is to regularise these systems by adding suitably located parasitic inductors L's and capacitors C's. We propose a geometric approach and derive methods for solving circuit equations by means of algorithms from computational differential geometry. In this paper the geometric methods will be applied to an electronic multivibrator and numerical results will be presented.

ASJC Scopus subject areas

Cite this

A Numerical Approach for Nonlinear Dynamical Circuits with Jumps. / Thiessen, Tina; Gutschke, Martin; Blanke, Philipp et al.
20th European Conference on Circuit Theory and Design: ECCTD 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 461-464 6043386.

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Thiessen, T, Gutschke, M, Blanke, P, Mathis, W & Wolter, FE 2011, A Numerical Approach for Nonlinear Dynamical Circuits with Jumps. in 20th European Conference on Circuit Theory and Design: ECCTD 2011., 6043386, Institute of Electrical and Electronics Engineers Inc., pp. 461-464, 2011 20th European Conference on Circuit Theory and Design, ECCTD 2011, Linkoping, Sweden, 29 Aug 2011. https://doi.org/10.1109/ECCTD.2011.6043386
Thiessen, T., Gutschke, M., Blanke, P., Mathis, W., & Wolter, F. E. (2011). A Numerical Approach for Nonlinear Dynamical Circuits with Jumps. In 20th European Conference on Circuit Theory and Design: ECCTD 2011 (pp. 461-464). Article 6043386 Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECCTD.2011.6043386
Thiessen T, Gutschke M, Blanke P, Mathis W, Wolter FE. A Numerical Approach for Nonlinear Dynamical Circuits with Jumps. In 20th European Conference on Circuit Theory and Design: ECCTD 2011. Institute of Electrical and Electronics Engineers Inc. 2011. p. 461-464. 6043386 doi: 10.1109/ECCTD.2011.6043386
Thiessen, Tina ; Gutschke, Martin ; Blanke, Philipp et al. / A Numerical Approach for Nonlinear Dynamical Circuits with Jumps. 20th European Conference on Circuit Theory and Design: ECCTD 2011. Institute of Electrical and Electronics Engineers Inc., 2011. pp. 461-464
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