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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 nor-malized 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.