基于自由矩阵积分不等式方法的电力系统时滞相关稳定性分析  

Time-Delay Related Stability Analysis of Power Systems Based on Free-Matrix Integral Inequality Method

作　　者：刘晓桂 李佳[1] 张灵芝[1] 褚衍廷 唐勇强 肖会芹[3] LIU Xiaogui;LI Jia;ZHANG Lingzhi;CHU Yanting;TANG Yongqiang;XIAO Huiqin(College of Railway Power Supply and Electricity,Hunan Vocational College of Railway Technology,Zhuzhou Hunan 412006,China;State Grid Hunan Electric Power Company West Lake Power Supply Branch,Shaoyang Hunan 422000,China;College of Electrical and Information Engineering,Hunan University of Technology,Zhuzhou Hunan 412007,China)

机构地区：[1]湖南铁路科技职业技术学院铁道供电与电气学院,湖南株洲412006 [2]国网湖南电力公司西湖供电支公司,湖南邵阳422000 [3]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6期46-54,共9页Journal of Hunan University of Technology

基　　金：湖南省自然科学基金资助项目(2022JJ60075,2022JJ50097);湖南省教育厅科学研究优秀青年基金资助项目(23B1021)

摘　　要：研究了电力系统时滞相关鲁棒稳定性问题。首先,建立了考虑系统时滞的电力系统模型;然后,通过构造时滞乘积增广型Lyapunov-Krasovskii泛函,并应用自由矩阵积分不等式方法,对泛函导数进行界定,得到了低保守性的稳定新判据;最后,通过单机无穷大系统、4机11节点系统和典型二阶系统验证了所提方法的有效性。A study has been carried out on the robust stability problem related to time delay in power systems.Firstly,a power system model is established with time delay taken into consideration.Next,by constructing the delay-product-type augmented Lyapunov-Krasovski functional,a new low conservatism stability criterion can be obtained with the free-matrix-based integral inequality method adopted to define the derivative of the functional.Finally,the effectiveness of the proposed method is verified by a single-machine infinite system,a 4-generator 11-bus power system and a typical second-order system.

关 键 词：LYAPUNOV-KRASOVSKII泛函 广义自由矩阵积分不等式 电力系统 鲁棒稳定判据 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]