Predefined-Time Secure Distributed Energy Management for Microgrids Against DoS Attack Based on Dynamic Event-Triggered Approach

This article studies how to solve the energy management (EM) problem while balancing economy and security. Firstly, a defense scheme is developed to relieve the negative effects of denial-of-service (DoS) attacks. Secondly, a secure predefined-time distributed EM algorithm via the time-base generator (TBG) is devised which can be suitable for directed graphs, and sensitive information is decomposed into two dynamic variables for key information privacy preservation. Thirdly, a dynamic event-triggered (DET) mechanism is proposed to economize communication resources. By constructing the Lyapunov energy function, it is proven that the convergence time of the devised distributed algorithm can be predefined by users independent of initial conditions. Zeno behavior is proven to be avoided, which exhibits the effectiveness of the DET approach. At last, the simulations are given to show the validity and advancement of the designed secure distributed algorithm.Note to Practitioners—With the deep integration of the cyber layer and physical layer in microgrids, the microgrid system is facing the threat of attacks. This article considers a typical cyber attack, a DoS attack, and the privacy-preserving problem. For solving the EM problem considering cyber security, a DoS attack defense scheme and a novel state decomposition mechanism have been proposed. After a DoS attack occurs, the microgrid system has an urgent need for EM fast recovery, while frequent information exchange can lead to unnecessary communication bandwidth occupation. Hence, a predefined-time distributed optimization approach based on the DET method is devised to achieve fast EM after DoS attacks and relieve the communication burden. The article adopts the TBG function to design dynamic gain which allows practitioners to flexibly adjust the convergence speed of the EM algorithm in practical applications.