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A distributed normalized Nash equilibrium seeking algorithm for power allocation among micro-grids |
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| Authors: | Fu Zao Yu WenWu Lü JinHu Yao YiYang Mei Feng |
| Affiliation: | 1.School of Cyber Science and Engineering, Southeast University, Nanjing, 210096, China ;2.School of Mathematics, Southeast University, Nanjing, 210096, China ;3.School of Automation Science and Electrical Engineering, Beihang University, Beijing, 100191, China ;4.State Grid Zhejiang Electric Power Company Information & Telecommunication Branch, Hangzhou, 310007, China ; |
| Abstract: | 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. |
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