基于二次函数负定判据的LFC系统稳定性分析  

Stability Analysis of LFC System Based on Quadratic Function Negative Definite Criterion

作　　者：陈刚[1] 王震 刘旭阳 刘亚雄 CHEN Gang;WANG Zhen;LIU Xuyang;LIU Yaxiong(College of Electrical and Information Engineering,Hunan University of Technology,Zhuzhou Hunan 412007,China)

机构地区：[1]湖南工业大学电气与信息工程学院,湖南株洲412007

出　　处：《湖南工业大学学报》2024年第4期27-33,共7页Journal of Hunan University of Technology

基　　金：国家自然科学基金资助项目(62173136)。

摘　　要：基于改进的二次积分不等式和二次多项式不等式建立的稳定性条件,研究了基于负荷频率控制(LFC)的时滞电力系统稳定性问题。首先,搭建了包含PI参数的负荷频率时滞系统数学模型;然后,通过引入增广的Lyapunov-Krasovskii泛函,利用近年改进的二次积分不等式和二次多项式不等式的充分条件,成功导出了具有时变时滞的系统稳定性判据;最后,通过负荷频率系统模型的实例仿真,验证了所得稳定性判据优于现有的一些计算结果。A research has been conducted on the stability problem of time-delay power systems based on load frequency control(LFC)by establishing stability conditions on the basis of improved quadratic integral inequality and quadratic polynomial inequality.Firstly,a mathematical model is constructed of a load frequency delay system with PI parameters.Then,by introducing an augmented Lyapunov-Krasovskii functional and utilizing the sufficient conditions of the improved quadratic integral inequality and quadratic polynomial inequality in recent years,a stability criterion for systems with time-varying delays can be successfully derived.Finally,through the simulation of a load frequency system model,it is verified that the obtained stability criterion is superior in performance to some existing calculation results.

关 键 词：时变时滞 稳定性分析 LYAPUNOV-KRASOVSKII泛函 负荷频率控制 PI控制 

分 类 号：TM712[电气工程—电力系统及自动化]