IDEAS home Printed from https://ideas.repec.org/a/taf/nmcmxx/v6y2000i2p129-144.html
   My bibliography  Save this article

Coupling DAEs and PDEs for Simulating the Interaction of Pantograph and Catenary

Author

Listed:
  • B. Simeon
  • M. Arnold

Abstract

Recently, the dynamical simulation of pantograph and catenary in high speed trains has found much interest. The equations of motion form a coupled system of partial differential equations (PDEs) for the catenary and differential-algebraic equations (DAEs) for the pantograph. Standard approaches intertwine modelling and numerical solution by first discretizing some parts in space and then setting up the overall model. The alternative we propose is a descriptor form model which comprises all equations and coupling conditions before discretization. This descriptor form represents also an example for a certain class of mechanical systems with constraints that can be subsumed under the term partial differential-algebraic equation (PDAE).

Suggested Citation

  • B. Simeon & M. Arnold, 2000. "Coupling DAEs and PDEs for Simulating the Interaction of Pantograph and Catenary," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 6(2), pages 129-144, June.
    • Handle: RePEc:taf:nmcmxx:v:6:y:2000:i:2:p:129-144
    DOI: 10.1076/1387-3954(200006)6:2;1-M;FT129
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1076/1387-3954(200006)6:2;1-M;FT129
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1076/1387-3954(200006)6:2;1-M;FT129?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Alberto, Angelines & Benet, Jesús & Arias, Enrique & Cebrian, David & Rojo, Tomás & Cuartero, Fernando, 2008. "A high performance tool for the simulation of the dynamic pantograph–catenary interaction," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 652-667.

    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:taf:nmcmxx:v:6:y:2000:i:2:p:129-144. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/NMCM20 .

    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.