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Generic Construction and Efficient Evaluation of Flow Network DAEs and Their Derivatives in the Context of Gas Networks

In: Operations Research Proceedings 2017

Author

Listed:
  • Tom Streubel

    (Zuse Institute Berlin
    Humboldt University of Berlin)

  • Christian Strohm

    (Humboldt University of Berlin)

  • Philipp Trunschke

    (Zuse Institute Berlin
    Humboldt University of Berlin)

  • Caren Tischendorf

    (Humboldt University of Berlin)

Abstract

We present a concept that provides an efficient description of differential-algebraic equations (DAEs) describing flow networks which provides the DAE function $$f$$ and their Jacobians in an automatized way such that the sparsity pattern of the Jacobians is determined before their evaluation and previously determined values of $$f$$ can be exploited. The user only has to provide the network topology and local function descriptions for each network element. The approach uses automatic differentiation (AD) and is adapted to switching element functions via the abs-normal-form (ANF).

Suggested Citation

  • Tom Streubel & Christian Strohm & Philipp Trunschke & Caren Tischendorf, 2018. "Generic Construction and Efficient Evaluation of Flow Network DAEs and Their Derivatives in the Context of Gas Networks," Operations Research Proceedings, in: Natalia Kliewer & Jan Fabian Ehmke & Ralf Borndörfer (ed.), Operations Research Proceedings 2017, pages 627-632, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-89920-6_83
    DOI: 10.1007/978-3-319-89920-6_83
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