Generalized Nash Equilibrium Analysis for Peer-to-Peer Transactive Energy Market Considering Coupling Distribution Network Constraints

Due to the coupling network constraints, the prosumers' trading strategies influence each other. This article analyzes the generalized Nash equilibrium (GNE) formulated by the prosumers and proposes a distribution locational marginal price (DLMP)-parametrized alternating direction method of mul...

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Bibliographic Details
Published in:IEEE transactions on industrial informatics 2024-06, Vol.20 (6), p.8125-8137
Main Authors: Xia, Yuanxing, Xu, Qingshan, Ding, Yixing, Shi, Linjun, Wu, Feng
Format: Article
Language:English
Subjects:
Algorithms
Artificial neural networks
Constraints
Convergence
Costs
Coupling
Couplings
Distribution locational marginal prices (DLMPs)
distribution network constraints
Distribution networks
Energy distribution
Equilibrium
Equilibrium analysis
Game theory
generalized Nash game (GNG)
normalized Nash equilibrium (NNE)
peer-to-peer (P2P) transactive energy trading
Peer-to-peer computing
Power flow
Transactive energy
Upper bound
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Summary:Due to the coupling network constraints, the prosumers' trading strategies influence each other. This article analyzes the generalized Nash equilibrium (GNE) formulated by the prosumers and proposes a distribution locational marginal price (DLMP)-parametrized alternating direction method of multipliers (ADMM) algorithm to seek the GNE of peer-to-peer (P2P) transactive energy trading. We first present the prosumers' and distribution system operator's models in the P2P transactive energy market. To explicitly add the coupling network constraints to the prosumers' problems, we linearize the distribution network power flow model and project the linear constraints to the prosumers' feasible regions. We then analyze the GNE in the network-constrained P2P transactive energy market and reduce the original GNE to normalized Nash equilibrium (NNE). We relax the original model into a partial dual problem and employ DLMPs to depict the prosumers' heterogeneous influences on the distribution network operation. We modify the ADMM algorithm to decompose the prosumers' trading processes to protect their privacy. The algorithm convergence and market properties at NNE are finally listed and discussed. A four-bus toy model is introduced to illustrate the convergence and properties of our proposed method. We import a modified IEEE 69-bus system to further highlight the advantages of our model.
ISSN:1551-3203
1941-0050
DOI:10.1109/TII.2024.3366995