Resilient dynamic event‐triggered control for multi‐area power systems with renewable energy penetration under DoS attacks

Abstract

Resilient dynamic event-triggered control design problem is concerned for frequency stabilisation of multi-area power systems with renewable energy penetration under transmission delay and denial-of-service (DoS) attacks. The main works are presented as followings: (1) A novel state-space model is established to describe multi-area power systems with solar and wind generation disturbance under load frequency control and virtual inertia control (LFC-VIC). (2) The influence of DoS attacks is considered and first modelled by model-based average dwell time (MDADT). A criterion of preserving desired exponential performance is obtained about the required lower bound of average dwell time (ADT) of sleep intervals, namely and the tolerable upper bound of ADT of attack intervals, namely . (3) To reduce communication load, a dynamic event-triggered mechanism (DETM) is proposed and designed jointly with resilient LFC-VIC scheme by using piecewise Lyapunov–Krasovskii functional method and LMIs technique. (4) To defence DoS attacks actively, based on the resulting MDADT criterion, a dynamic prediction strategy is proposed to compensate the packet drops with unknown bound subjected to attack strategy. Finally, a numerical example for a two-area power system is carried out to verify the designed resilient LFC-VIC scheme and the DETM.