Journal
IEEE TRANSACTIONS ON SMART GRID
Volume 11, Issue 3, Pages 2055-2066Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSG.2019.2946602
Keywords
Energy sharing; game theory; Nash equilibrium; prosumer; supply-demand function
Categories
Funding
- National Natural Science Foundation of China [51677100, 51621065]
- NSF [CCF 1637598, ECCS 1619352, CPS 1739355, TSG-00571-2019]
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This paper proposes a novel energy sharing mechanism for prosumers who can produce and consume. Different from most existing works, the role of individual prosumer as a seller or buyer in our model is endogenously determined. Several desirable properties of the proposed mechanism are proved based on a generalized game-theoretic model. We show that the Nash equilibrium exists and is the unique solution of an equivalent convex optimization problem. The sharing price at the Nash equilibrium equals to the average marginal disutility of all prosumers. We also prove that every prosumer has the incentive to participate in the sharing market, and prosumers' total cost decreases with increasing absolute value of price sensitivity. Furthermore, the Nash equilibrium approaches the social optimal as the number of prosumers grows, and competition can improve social welfare.
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