A distributed normalized Nash equilibrium seeking algorithm for power allocation among micro-grids

In this paper, a power allocation problem based on the Cournot game and generalized Nash game is proposed. After integrating dynamic average consensus algorithm and distributed projection neural network through singular perturbation systems, a normalized Nash equilibrium seeking algorithm is present...

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Bibliographic Details
Published in:Science China. Technological sciences 2021-02, Vol.64 (2), p.341-352
Main Authors: Fu, Zao, Yu, WenWu, Lü, JinHu, Yao, YiYang, Mei, Feng
Format: Article
Language:English
Subjects:
Algorithms
Distributed generation
Engineering
Game theory
Neural networks
Perturbation methods
Singular perturbation
Stability analysis
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Summary:In this paper, a power allocation problem based on the Cournot game and generalized Nash game is proposed. After integrating dynamic average consensus algorithm and distributed projection neural network through singular perturbation systems, a normalized Nash equilibrium seeking algorithm is presented to solve the proposed power allocation problem in a distributed way. Combine Lyapunov stability with the singular perturbation analysis, the convergence of the proposed algorithm is analyzed. A simulation on IEEE 118-bus confirms that the proposed distributed algorithm can adjust the power allocation according to different situations, while keeping the optimal solution within the feasible set.
ISSN:1674-7321
1869-1900
DOI:10.1007/s11431-019-1538-6