Dynamic Probability-Density-Dependent Event-Triggered $\mathcal {L}_{\infty }$ LFC for Power Systems Subject to Stochastic Delays

The dynamic event-triggered
$\mathcal {L}_{\infty }$
load frequency control (LFC) problem is investigated for power systems subject to stochastic transmission delays and disturbances. To fully use the stochastic features of delay, a probability density function is used to describe the distribution of transmission delay. To save the transmission cost, a dynamic event-triggered scheme (ETS) is constructed for power systems. Compared to the existing ETSs, dynamic parameters are used as trigger threshold. Under the dynamic ETS, a new system model is used to describe the event-triggered LFC system with stochastic transmission delays and disturbances. Then, sufficient conditions are formulated to guarantee the system stability in terms of the constructed Lyapunov-Krasovskii functional. A two-area power system is used to verify the effectiveness of the proposed approach.