Enhanced Wasserstein Distributionally Robust OPF With Dependence Structure and Support Information

Adriano Arrigo, Jalal Kazempour, Zacharie De Greve, Jean-François Toubeau, Francois Vallée

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    Abstract

    This paper goes beyond the current state of the art related to Wasserstein distributionally robust optimal power flow problems, by adding dependence structure (correlation) and support information. In view of the space-time dependencies pertaining to the stochastic renewable power generation uncertainty, we apply a moment-metric-based distributionally robust optimization, which includes a constraint on the second-order moment of uncertainty. Aiming at further excluding unrealistic probability distributions from our proposed decision-making model, we enhance it by adding support information. We reformulate our proposed model, resulting in a semi-definite program, and show its satisfactory performance in terms of the operational
    results achieved and the computational time.
    Original languageEnglish
    Title of host publicationProceedings of 2021 IEEE PowerTech
    Number of pages6
    PublisherIEEE
    Publication date2021
    ISBN (Print)978-1-6654-1173-8
    DOIs
    Publication statusPublished - 2021
    Event2021 IEEE Madrid PowerTech - Virtual Event - from the Alberto Aguilera Campus of Comillas University, Madrid, Spain
    Duration: 28 Jun 20212 Jul 2021
    Conference number: 14
    https://www.powertech2021.com/

    Conference

    Conference2021 IEEE Madrid PowerTech
    Number14
    LocationVirtual Event - from the Alberto Aguilera Campus of Comillas University
    Country/TerritorySpain
    CityMadrid
    Period28/06/202102/07/2021
    Internet address

    Keywords

    • Distributionally robust optimization
    • Space-time dependencies
    • Optimal power flow
    • Out-of-sample analysis

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