含PID参数的时滞LFC系统鲁棒稳定性分析  

Robust Stability Analysis of Time-Delay LFC System with PID Parameters

作　　者：刘晓桂 刘小文 蒋逢灵[1] 龚事引 肖会芹[3] LIU Xiaogui;LIU Xiaowen;JIANG Fengling;GONG Shiyin;XIAO Huiqin(College of Railway Power Supply and Electricity,Hunan Vocational College of Railway Technology,Zhuzhou Hunan 412006,China;Department of Electrical Engineering,Hunan Technician College of Industry and Commerce,Zhuzhou Hunan 412006,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]湖南工贸技师学院电气工程系,湖南株洲412006 [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》2023年第1期31-39,共9页Journal of Hunan University of Technology

基　　金：国家自然科学基金资助项目(61703153);湖南省自然科学基金资助项目(2022JJ60009);湖南省教育厅科学研究基金资助项目(21C1315);湖南铁路科技职业技术学院科研基金资助项目(HNTKY-KT-2022-10)。

摘　　要：针对LFC系统的渐近稳定性问题,建立了系统矩阵中含PID参数的时滞LFC系统数学模型,通过选取时滞乘积型Lyapunov-Krasovskii泛函,并应用扩展的逆凸二次不等式方法对泛函导数进行界定,得出一个具有更低保守性的LFC系统鲁棒稳定新判据。最后,结合实例进行了实验仿真,仿真结果验证了所提出新判据的有效性和优越性。In view of a solution of the problem of asymptotic stability of LFC system,a mathematical model has thus been established of time delay LFC system with PID parameters in the system matrix.By selecting Lyapunov-Krasovskii functional of delay product type,the functional derivative can be defined with the extended inverse convex quadratic inequality method adopted,thus obtaining a new criterion of robust stability for LFC systems with a lower conservation.Finally,an experimental simulation is carried out with given practical examples,with the simulation verifying verify the effectiveness and superiority of the proposed new criteria.

关 键 词：负荷频率控制 鲁棒稳定性 LYAPUNOV-KRASOVSKII泛函 PID 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]