IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/7984079.html
   My bibliography  Save this article

Stationary Gas Networks with Compressor Control and Random Loads: Optimization with Probabilistic Constraints

Author

Listed:
  • Martin Gugat
  • Michael Schuster

Abstract

We introduce a stationary model for gas flow based on simplified isothermal Euler equations in a non-cycled pipeline network. Especially the problem of the feasibility of a random load vector is analyzed. Feasibility in this context means the existence of a flow vector meeting these loads, which satisfies the physical conservation laws with box constraints for the pressure. An important aspect of the model is the support of compressor stations, which counteract the pressure loss caused by friction in the pipes. The network is assumed to have only one influx node; all other nodes are efflux nodes. With these assumptions the set of feasible loads can be characterized analytically. In addition we show the existence of optimal solutions for some optimization problems with probabilistic constraints. A numerical example based on real data completes this paper.

Suggested Citation

  • Martin Gugat & Michael Schuster, 2018. "Stationary Gas Networks with Compressor Control and Random Loads: Optimization with Probabilistic Constraints," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-17, September.
    • Handle: RePEc:hin:jnlmpe:7984079
    DOI: 10.1155/2018/7984079
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2018/7984079.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2018/7984079.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/7984079?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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:hin:jnlmpe:7984079. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.