Dynamic Probability-Density-Dependent Event-Triggered $\mathcal {L}_{\infty }$ LFC for Power Systems Subject to Stochastic Delays
Zhiying Wu, Aibo Zhang, Tao Yu, Yuman Li, Junlin Xiong, Min Xie
Abstract
The dynamic event-triggered <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\mathcal {L}_{\infty }$</tex-math></inline-formula> 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.