Improving the Scalability of a Prosumer Cooperative Game with K-Means Clustering

Among the various market structures under peer-to-peer energy sharing, one model based on cooperative game theory provides clear incentives for prosumers to collaboratively schedule their energy resources. The computational complexity of this model, however, increases exponentially with the number of participants. To address this issue, this paper proposes the application of K-means clustering to the energy profiles following the grand coalition optimization. The cooperative model is run with the “clustered players” to compute their payoff allocations, which are then further distributed among the prosumers within each cluster. Case studies show that the proposed method can significantly improve the scalability of the cooperative scheme while maintaining a high level of financial incentives for the prosumers.

[1]  Daniel Gómez,et al.  Polynomial calculation of the Shapley value based on sampling , 2009, Comput. Oper. Res..

[2]  K. Poolla,et al.  Coalitional Aggregation of Wind Power , 2013, IEEE Transactions on Power Systems.

[3]  L. Shapley Cores of convex games , 1971 .

[4]  Benjamin Sovacool,et al.  Electricity market design for the prosumer era , 2016, Nature Energy.

[5]  J. Sankaran On finding the nucleolus of an n-person cooperative game , 1991 .

[6]  G. Chicco,et al.  Comparisons among clustering techniques for electricity customer classification , 2006, IEEE Transactions on Power Systems.

[7]  Thomas Morstyn,et al.  Bilateral Contract Networks for Peer-to-Peer Energy Trading , 2019, IEEE Transactions on Smart Grid.

[8]  Marina Meila,et al.  The uniqueness of a good optimum for K-means , 2006, ICML.

[9]  Yue Zhou,et al.  Evaluation of peer-to-peer energy sharing mechanisms based on a multiagent simulation framework , 2018, Applied Energy.

[10]  Tao Chen,et al.  Classification of electricity customer groups towards individualized price scheme design , 2017, 2017 North American Power Symposium (NAPS).

[11]  Pierre Gançarski,et al.  A global averaging method for dynamic time warping, with applications to clustering , 2011, Pattern Recognit..

[12]  Lang Tong,et al.  Dynamic Pricing and Distributed Energy Management for Demand Response , 2016, IEEE Transactions on Smart Grid.

[13]  Walid Saad,et al.  Game-Theoretic Methods for the Smart Grid: An Overview of Microgrid Systems, Demand-Side Management, and Smart Grid Communications , 2012, IEEE Signal Processing Magazine.

[14]  Thomas Morstyn,et al.  Constructing Prosumer Coalitions for Energy Cost Savings Using Cooperative Game Theory , 2018, 2018 Power Systems Computation Conference (PSCC).

[15]  Vassilios G. Agelidis,et al.  Model Predictive Control for Distributed Microgrid Battery Energy Storage Systems , 2017, IEEE Transactions on Control Systems Technology.

[16]  Thomas Morstyn,et al.  Incentivizing Prosumer Coalitions With Energy Management Using Cooperative Game Theory , 2019, IEEE Transactions on Power Systems.