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Application of the Level Method for Computing Locational Convex Hull Prices

Author

Listed:
  • Stevens, Nicolas

    (Université catholique de Louvain, LIDAM/CORE, Belgium)

  • Papavasiliou, Anthony

    (Université catholique de Louvain, LIDAM/CORE, Belgium)

Abstract

Convex hull pricing is a well-documented method for coping with the non-existence of uniform clearing prices in electricity markets with non-convex costs and constraints. We revisit primal and dual methods for computing convex hull prices, and discuss the positioning of existing approximation methods in this taxonomy. We propose a dual decomposition algorithm known as the Level Method and we adapt the basic algorithm to the specificities of convex hull pricing. We benchmark its performance against a column generation algorithm that has recently been proposed in the literature. We provide empirical evidence about the favorable performance of our algorithm on large test instances based on PJM and Central Europe.

Suggested Citation

  • Stevens, Nicolas & Papavasiliou, Anthony, 2022. "Application of the Level Method for Computing Locational Convex Hull Prices," LIDAM Reprints CORE 3196, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:3196
    DOI: http://dx.doi.org/10.1109/TPWRS.2022.3142567
    Note: In: IEEE Transactions on Power Systems, 2022, vol. 37(5), p. 3958-3968
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    Cited by:

    1. Li, Ningning & Gao, Yan, 2023. "Real-time pricing based on convex hull method for smart grid with multiple generating units," Energy, Elsevier, vol. 285(C).

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