Journal article
Estimation of the Shapley Value of a Peer-to-peer Energy Sharing Game Using Multi-Step Coalitional Stratified Sampling
Department of Electrical Engineering, Technical University of Denmark1
Center for Electric Power and Energy, Centers, Technical University of Denmark2
Energy Analytics and Markets, Center for Electric Power and Energy, Centers, Technical University of Denmark3
University of Edinburgh4
University of Oxford5
One of the main objectives of a peer-to-peer energy market is to efficiently manage distributed energy resources while creating additional financial benefits for the participants. Cooperative game theory offers such a framework, and the Shapley value, a cooperative game payoff allocation based on the participants’ marginal contributions made to the local energy coalition, is shown to be fair and efficient.
However, its high computational complexity limits the size of the game. In order to improve this peer-to-peer cooperative scheme’s scalability, this paper investigates and adapts a stratified sampling method for the Shapley value estimation. It then proposes a multi-step sampling strategy to further reduce the computation time by dividing the samples into incremental parts and terminating the sampling process once a certain level of estimation performance is achieved.
Finally, selected case studies demonstrate the effectiveness of the proposed method, which is able to scale up the game from 20 players to 100 players.
Language: | English |
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Publisher: | Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers |
Year: | 2021 |
Pages: | 1863-1872 |
ISSN: | 20054092 and 15986446 |
Types: | Journal article |
DOI: | 10.1007/s12555-019-0535-1 |
ORCIDs: | Han, Liyang |