IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-75319-5_5.html
   My bibliography  Save this book chapter

A Direct Index 1 DAE Model of Gas Networks

In: Reduced-Order Modeling (ROM) for Simulation and Optimization

Author

Listed:
  • Peter Benner

    (Max Planck Institute for Dynamics of Complex Technical Systems)

  • Maike Braukmüller

    (Institute Computational Mathematics TU Braunschweig)

  • Sara Grundel

    (Max Planck Institute for Dynamics of Complex Technical Systems)

Abstract

Using isothermal Euler equations and a network graph to model gas flow in a pipeline network is a classical description, and we prove that any direct space discretization results in a system of index 2 nonlinear differential algebraic equations (DAE). Those are hard to simulate, and model order reduction techniques are not very developed for this system class. However, we can show that a simple approximation results in an index 1 system of nonlinear differential algebraic equations, which is easier to simulate and we can show that a structured projection leads to a reduced system that also typically has index 1. We validate the use of this model and its advantage for fast simulation, including model order reduction, in some numerical examples.

Suggested Citation

  • Peter Benner & Maike Braukmüller & Sara Grundel, 2018. "A Direct Index 1 DAE Model of Gas Networks," Springer Books, in: Winfried Keiper & Anja Milde & Stefan Volkwein (ed.), Reduced-Order Modeling (ROM) for Simulation and Optimization, pages 99-119, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-75319-5_5
    DOI: 10.1007/978-3-319-75319-5_5
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-319-75319-5_5. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.