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Finding Beneficial DAE Structures in Circuit Simulation

In: Mathematics — Key Technology for the Future

Author

Listed:
  • Roswitha März

    (Institute of Applied Mathematics, Humboldt-University Berlin)

  • Diana Estévez Schwarz

    (Institute of Applied Mathematics, Humboldt-University Berlin)

  • Uwe Feldmann

    (Infineon Technologies AG)

  • Sandra Sturtzel

    (Institute of Applied Mathematics, Humboldt-University Berlin)

  • Caren Tischendorf

    (Institute of Applied Mathematics, Humboldt-University Berlin)

Abstract

Circuit simulation is a standard task for the computer-aided design of electronic circuits. The transient analysis is well understood and realized in powerful simulation packages for conventional circuits. But further developments in the production engineering lead to new classes of circuits which may cause difficulties for the numerical integration. The dimension of circuit models can be quite large (105 equations). The complexity of the models demands a higher abstraction level. In this paper, we analyze electric circuits with respect to their structural properties. We discuss the relevant subspaces of the resulting differential algebraic equations (DAEs) and present algorithms for calculating the index as well as consistent initial values.

Suggested Citation

  • Roswitha März & Diana Estévez Schwarz & Uwe Feldmann & Sandra Sturtzel & Caren Tischendorf, 2003. "Finding Beneficial DAE Structures in Circuit Simulation," Springer Books, in: Willi Jäger & Hans-Joachim Krebs (ed.), Mathematics — Key Technology for the Future, pages 413-428, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55753-8_34
    DOI: 10.1007/978-3-642-55753-8_34
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