Abstract

This article studies the coordination economic dispatch problem (EDP) for distributed energy resources. To minimise the total operating cost under various constraints, a switched distributed coordination algorithm is presented to solve the EDP over the unreliable communication network with the Denial-of-Service (DoS) attacks. In this situation, the proposed algorithm integrates the normal mode and the attack mode. The attackers can make the communication network unconnected and destroy the convergence and optimality in the attack mode. In order to explore under what conditions the optimal solution can still be obtained, we model the attack modes by differential inclusions and use an average dwell-time automaton and time-ratio monitor to limit the DoS attacks. Then, the switched distributed algorithm is modelled as a hybrid dynamical system. Furthermore, some conditions are derived to guarantee the exponential convergence of the proposed algorithm under DoS attacks. Finally, simulation results tested on the IEEE 30-bus power system illustrate the effectiveness of the proposed algorithm.

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