Feasibility verification of a MILP model by outer approximation for the optimal operation of natural gas networks

Enrica Raheli, Qiuwei Wu, Changyun Wen

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

    Abstract

    The power system and the natural gas network are becoming increasingly interconnected due to the rising number of gas-fired power plants and the emergence of power-to-gas technology. The coordinated operation of power and gas systems is a promising solution to add flexibility to future energy systems, facilitating renewable integration. The optimal operation of the power system is commonly modeled as a mixed-integer linear problem (MILP). Conversely, the natural gas network optimization is a mixed-integer nonlinear problem (MINLP), due to the highly nonlinear and nonconvex Weymouth equation modeling the gas flow in pipelines. Different linearization and convexification approaches have been investigated in the literature for the gas optimization problem, but few authors have verified the quality of the solution. In this paper, a MILP model for the gas problem is developed using an outer approximation technique, and the feasibility of the solution is assessed. A sensitivity analysis on the number of linearization breakpoints is conducted to show the impact on the solution quality and computational time.
    Original languageEnglish
    Title of host publicationProceedings of 2021 IEEE Madrid PowerTech
    PublisherIEEE
    Publication date2021
    Article number9494996
    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

    • Gas flow linearization
    • Integrated electricity gas system ,
    • Outer approximation
    • Taylor expansion

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