Distributed algorithm based on consensus control strategy for dynamic economic dispatch problem.

• The model contains traditional , renewable energy resources and energy storage batteries. • A distributed algorithm based on alternating direction method of multipliers (ADMM) is proposed here. And we obtain the optimal solution of different generators within 24 h by this method. In this paper, the dynamic economic dispatch problem (DEDP) of a hybrid power network is studied. The micro-grid model is constructed with three types of non-renewable power sources, renewable energy and energy storage batteries. Meanwhile, the pollutant emission costs and benefit function are considered here to maximize the total welfare. Firstly, we transform the benefit-maximum problem into its equivalent minimization problem which the generators connected each other in a directed graph. Then, we introduced a distributed algorithm based on alternating direction method of multipliers (ADMM) to find the optimal solution of different generators within 24 h. To solve the sub-problem, the bisection method and the finite-time distributed algorithm are adopted here. Finally, the convergence of the distributed algorithm is analyzed. Moreover, our experimental results verify that the optimal solution satisfies the constraints of supply–demand balance equality constraint and capacity inequalities well in each time slot, and meanwhile satisfies the constraints of output threshold between different time slots, furthermore, we utilized a practical example to make a comparison with the existed literature, and the superiority of the algorithm is verified to a certain extent. [ABSTRACT FROM AUTHOR]