Coalitional Game Theory based Value Sharing in Energy Communities

Amir Safdarian*, Poria Astero, Marius Baranauskas, Antti Keski-Koukkari, Anna Kulmala

*Corresponding author for this work

    Research output: Contribution to journalArticleScientificpeer-review

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    Abstract

    This paper presents a coalitional game for value sharing in energy communities (ECs). It is proved that the game is super-additive, and the grand coalition effectively increases the global payoff. It is also proved that the model is balanced and thus, it has a nonempty core. This means there always exists at least one value sharing mechanism that makes the grand coalition stable. Therefore, prosumers will always achieve lower bills if they join to form larger ECs. A counterexample is presented to demonstrate that the game is not convex and value sharing based on Shapley values does not necessarily ensure the stability of the coalition. To find a stabilizing value sharing mechanism that belongs to the core of the game, the worst-case excess minimization concept is applied. In this concept, however, size of the optimization problem increases exponentially with respect to the number of members in EC. To make the problem computationally tractable, the idea of clustering members based on their generation/load profiles and considering the same profile and share for members in the same cluster is proposed here. K-means algorithm is used for clustering prosumers’ profiles. This way, the problem would have several redundant constraints that can be removed. The redundant constraints are identified and removed via the generalized Llewellyn’s rules. Finally, value sharing in an apartment building in the southern part of Finland in the metropolitan area is studied to demonstrate effectiveness of the method.

    Original languageEnglish
    Article number9435374
    Pages (from-to)78266-78275
    JournalIEEE Access
    Volume9
    DOIs
    Publication statusPublished - 19 May 2021
    MoE publication typeA1 Journal article-refereed

    Keywords

    • Buildings
    • Coalitional game theory
    • energy community
    • Game theory
    • Games
    • Microgrids
    • Minimization
    • Optimization
    • optimization problem
    • payoff allocation
    • prosumer
    • redundant constraint
    • Urban areas
    • value sharing
    • worst-case excess minimization

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