Delay-Distribution-Dependent Load Frequency Control of Power Systems With Probabilistic Interval Delays

This paper investigates load frequency control (LFC) of power systems with probabilistic interval delays. The LFC design specifically takes the probability distribution characteristic of the communication delays into account. Firstly, by considering the probability distribution characteristic of the communication delays in the modeling, the original power systems with a PI-based LFC are transformed into a stochastic closed-loop time-delay system. Secondly, by using the Lyapunov-Krasovskii functional method, sufficient delay-distribution-dependent stability and stabilization criteria are derived for the power systems with a PI-based LFC. Following this, an algorithm is provided to obtain the gain of PI-based LFC and the allowable upper bound of the communication delay simultaneously while preserving the desired H∞ performance. Finally, a case study is applied to illustrate the effectiveness of the proposed delay-distribution-dependent PI-based LFC design method.