IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/6287458.html
   My bibliography  Save this article

Stability of the Stochastic Model for Power Markets with Interval Parameters

Author

Listed:
  • Zhanhui Lu
  • Mengfan Ji
  • Weijuan Wang
  • Gengyin Li

Abstract

Pertaining to the random nature of demand sides and the range of demand elasticity with suppliers and consumers, a stochastic model for power markets with interval parameters is described to illustrate uncertain external disturbances, which is a generalization of the Alvarado dynamic model, stochastic model, and interval model. The interval stochastic stability criteria of the provided model are investigated by the theory of economics, interval dynamical system, and the theory stability of stochastic differential equations. The conclusions indicate that the demand elasticity stable interval can be calculated and the random excitation intensity does not impact the system stability. Some numerical examples are given to show the applicability and validity of the obtained results from a statistical perspective.

Suggested Citation

  • Zhanhui Lu & Mengfan Ji & Weijuan Wang & Gengyin Li, 2016. "Stability of the Stochastic Model for Power Markets with Interval Parameters," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-10, November.
    • Handle: RePEc:hin:jnlmpe:6287458
    DOI: 10.1155/2016/6287458
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2016/6287458.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2016/6287458.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2016/6287458?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:6287458. 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.