Resilient Distributed Frequency And Voltage Restoration Control Of Islanded Microgrids Under False Data Injection Attacks

With the gradual advance of the energy transition and the proposal of the carbon neutral target,renewable power generation has been further developed and promoted in the whole world.The islanded microgrid,as an important form of integrating renewable power generation,can provide safe and reliable clean electricity for rural areas,islands,military bases and other remote areas.At the same time,the islanded microgrid which is highly integrated with communication facilities has been transformed into a typical cyber-physical system and is faced with the threat of extreme man-made attacks such as cyber-attacks.How to enhance the resilience against cyber-attacks has become a new challenge for islanded microgrids.Hierarchical control architecture is widely used in islanded microgrids to ensure the safe and stable operation of the system.Among them,distributed frequency and voltage restoration control of islanded microgrids based on communication network has been widely studied.Considering the communication network attacked by false data injection and the inherent conflict between voltage restoration and reactive power sharing,distributed frequency and voltage restoration control of islanded microgrids is studied in this paper.The main work and contributions of this paper are as follows:(1)The problem of consensus-based distributed control under false data injection attack is studied.For unknown bounded false data injection attacks,on the basis of traditional consensus algorithm,a resilient distributed control method based on the hidden network is proposed.The stability and robustness of the proposed resilient distributed control is proved by using Lyapunov direct method,and the error boundaries of frequency and voltage under attacks is deduced.(2)The problem of distributed control considering the inherent conflict between voltage restoration and reactive power sharing is studied.To solve this inherent conflict,a distributed voltage and frequency restoration control based on containment algorithm is proposed,which can realize the precise reactive power sharing and the bounded voltage restoration.The stability is proved by using the frequency domain analysis and the final value theorem,and the analytical formula of communication time delay margin is derived to ensure the stability of the system.(3)The problem of distributed control based on containment algorithm under false data injection attack is studied.For unknown bounded false data injection attacks,on the basis of the proposed containment-based distributed voltage and frequency restoration control,a resilient distributed control based on the hidden network is proposed.The stability and robustness of the proposed resilient distributed control is proved by using Lyapunov direct method,and the error boundaries of frequency and voltage under attacks is deduced.The influence of the control gain of the proposed resilient distributed controller on improving the communication time delay margin and weakening the attack of bounded false data injection is discussed through a numerical case.