IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v12y2019i5p885-d211813.html
   My bibliography  Save this article

Analysis of Numerical Methods to Include Dynamic Constraints in an Optimal Power Flow Model

Author

Listed:
  • Francisco Arredondo

    (Department of Electrical Engineering, Universidad Carlos III de Madrid, Av. de la Universidad 30, 28911 Leganés, Spain)

  • Edgardo Daniel Castronuovo

    (Department of Electrical Engineering, Universidad Carlos III de Madrid, Av. de la Universidad 30, 28911 Leganés, Spain)

  • Pablo Ledesma

    (Department of Electrical Engineering, Universidad Carlos III de Madrid, Av. de la Universidad 30, 28911 Leganés, Spain)

  • Zbigniew Leonowicz

    (Faculty of Electrical Engineering, Wrocław University of Science and Technology, 50-370 Wrocław, Poland)

Abstract

The optimization of the operation of power systems including steady state and dynamic constraints is efficiently solved by Transient Stability Constrained Optimal Power Flow (TSCOPF) models. TSCOPF studies extend well-known optimal power flow models by introducing the electromechanical oscillations of synchronous machines. One of the main approaches in TSCOPF studies includes the discretized differential equations that represent the dynamics of the system in the optimization model. This paper analyzes the impact of different implicit and explicit numerical integration methods on the solution of a TSCOPF model and the effect of the integration time step. In particular, it studies the effect on the power dispatch, the total cost of generation, the accuracy of the calculation of electromechanical oscillations between machines, the size of the optimization problem and the computational time.

Suggested Citation

  • Francisco Arredondo & Edgardo Daniel Castronuovo & Pablo Ledesma & Zbigniew Leonowicz, 2019. "Analysis of Numerical Methods to Include Dynamic Constraints in an Optimal Power Flow Model," Energies, MDPI, vol. 12(5), pages 1-17, March.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:5:p:885-:d:211813
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/12/5/885/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/12/5/885/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Pablo Ledesma & Francisco Arredondo & Edgardo D. Castronuovo, 2017. "Optimal Curtailment of Non-Synchronous Renewable Generation on the Island of Tenerife Considering Steady State and Transient Stability Constraints," Energies, MDPI, vol. 10(11), pages 1-15, November.
    2. Yifan Gao & Jianquan Wang & Tannan Xiao & Daozhuo Jiang, 2017. "A Transient Stability Numerical Integration Algorithm for Variable Step Sizes Based on Virtual Input," Energies, MDPI, vol. 10(11), pages 1-21, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Drew, Daniel R. & Coker, Phil J. & Bloomfield, Hannah C. & Brayshaw, David J. & Barlow, Janet F. & Richards, Andrew, 2019. "Sunny windy sundays," Renewable Energy, Elsevier, vol. 138(C), pages 870-875.

    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:gam:jeners:v:12:y:2019:i:5:p:885-:d:211813. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.