曾红兵,刘晓桂,肖会芹,王炜.基于PID负荷频率控制的电力系统时滞相关鲁棒稳定性分析[J].电测与仪表,2019,56(23):112-118. ZENG Hongbing,LIU Xiaogui,XIAO Huiqin,WANG Wei.Delay-dependent Robust Stability of Power Systems with PID Load Frequency Control[J].Electrical Measurement & Instrumentation,2019,56(23):112-118.
基于PID负荷频率控制的电力系统时滞相关鲁棒稳定性分析
Delay-dependent Robust Stability of Power Systems with PID Load Frequency Control
Based on the Lyapunov-Krasovskii functional approach, the problem of robust stability of PID load frequency control is investigated for single-zone power system. Firstly, a system model for power system is established, which considers communication delays. Then, the system with PID controller is transformed into a closed-loop system with feedback control. By constructing an appropriate Lyapunov-Krasovskii functional and applying reciprocally convex inequality approach to deal with the integral terms in the functional derivatives, a new robust stability criterion is derived for power systems with PID parameters. Finally, a numerical example is given to illustrate the relationship between PI control gain and system delay stability margin under different time-delay types. The simulation results show the effectiveness and superiority of the method by comparing our results with existing ones.
