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A Linear Model for Distributed Flexibility Markets and DLMPs: A Comparison with the SOCP Formulation

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  • Anibal Sanjab
  • Yuting Mou
  • Ana Virag
  • Kris Kessels

Abstract

This paper examines the performance trade-offs between an introduced linear flexibility market model for congestion management and a benchmark second-order cone programming (SOCP) formulation. The linear market model incorporates voltage magnitudes and reactive powers, while providing a simpler formulation than the SOCP model, which enables its practical implementation. The paper provides a structured comparison of the two formulations relying on developed deterministic and statistical Monte Carlo case analyses using two distribution test systems (the Matpower 69-bus and 141-bus systems). The case analyses show that with the increasing spread of offered flexibility throughout the system, the linear formulation increasingly preserves the reliability of the computed system variables as compared to the SOCP formulation, while more lenient imposed voltage limits can improve the approximation of prices and power flows at the expense of a less accurate computation of voltage magnitudes.

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  • Anibal Sanjab & Yuting Mou & Ana Virag & Kris Kessels, 2021. "A Linear Model for Distributed Flexibility Markets and DLMPs: A Comparison with the SOCP Formulation," Papers 2111.02328, arXiv.org.
    • Handle: RePEc:arx:papers:2111.02328
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    References listed on IDEAS

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    1. Anthony Papavasiliou, 2018. "Analysis of distribution locational marginal prices," LIDAM Reprints CORE 3045, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Le Cadre, Hélène & Mezghani, Ilyès & Papavasiliou, Anthony, 2019. "A game-theoretic analysis of transmission-distribution system operator coordination," European Journal of Operational Research, Elsevier, vol. 274(1), pages 317-339.
    3. Hélène Le Cadre & Ilyès Mezghani & Anthony Papavasiliou, 2019. "A game-theoretic analysis of transmission-distribution system operator coordination," LIDAM Reprints CORE 2996, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Anibal Sanjab & H'el`ene Le Cadre & Yuting Mou, 2021. "TSO-DSOs Stable Cost Allocation for the Joint Procurement of Flexibility: A Cooperative Game Approach," Papers 2111.12830, arXiv.org.

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