Abstract

The benefits of a distributed economic dispatch system include significant resilience, uniform processing and communication pressure, and good scalability, but, currently, there is limited in-depth research on the impact of packet loss on the communication links of a distributed economic dispatch system. To analyze how communication packet loss affects a distributed economic dispatch system and to develop appropriate scheduling approaches, in this paper, we design a fully distributed economic dispatch strategy for an active distribution network (ADN) in leader-follower mode, we use the Bernoulli stochastic process to describe the communication packet loss phenomenon, and we give sufficient conditions for the system in the form of linear matrix inequality (LMI) to be able to achieve stochastic stability. The communication packet loss probability affects the convergence performance of the system, and a high packet loss probability can cause the system to lose stability. By simulating various situations in the IEEE-14 and IEEE-39 systems, in this study, we confirm the validity and efficacy of the distributed economic dispatch control strategy and the system stability analysis method.

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