Distributed fixed‐time economic dispatch over directed graphs: An event‐triggered approach

Abstract This paper introduces a novel distributed fixed‐time algorithm that employs an event‐triggered strategy to solve the economic dispatch problem within the framework of smart grids. Distinguishing from existing fixed‐time and finite‐time algorithms of distributed economic dispatch applied to undirected graphs, the proposed distributed optimization algorithm in this paper has been proven effective for directed graphs. The proposed algorithm ensures the continual satisfaction of the supply and demand balance constraints. Additionally, the incorporation of the event‐triggered strategy not only conserves actuator updates but also avoids Zeno behavior. Finally, simulation cases verify the effectiveness of the proposed algorithm.