Secure distributed optimal frequency regulation of power grid with time-varying voltages under cyberattack

The distributed optimal frequency regulation of power grid containing plenty of distributed renewable energy resources is highly dependent on the communication network. However, the utilization of a communication network makes the power grid vulnerable to cyberattacks, which could deteriorate the control performance and even cause the failure of a control task. To address this problem, this paper investigates the secure distributed optimal frequency regulation of power grid under cyberattack. The stealthy deceptive cyberattack model is constructed, and its perniciousness on optimal frequency regulation is analyzed. A novel type of secure distributed optimal frequency regulation is developed by introducing a secure-based communication network to improve the resilience against cyberattack. It is proved theoretically that the secure regulation can restore the frequency deviation of each area to zero and minimize the total generation cost to retain the economic efficiency even under cyberattack. Simulation result shows the effectiveness of the proposed method.