具有传输时滞的采样LFC系统稳定性新判据  

New stability criterion of sampled-data LFC systems with transmission delay

作　　者：练红海 陈刚[3] 邓鹏[2] 覃事刚[2] 范春玲 LIAN Honghai;CHEN Gang;DENG Peng;QIN Shigang;FAN Chunlin(School of Computer Science and Engineering,Hunan University of Science and Technology,Xiangtan 411201,China;School of Wind Energy Engineering,Hunan Electrical College of Technology,Xiangtan 411201,China;School of Electrical and Information Engineering,Hunan University of Technology,Zhuzhou 412007,China)

机构地区：[1]湖南科技大学计算机科学与工程学院,湖南湘潭411201 [2]湖南电气职业技术学院风能工程学院,湖南湘潭411201 [3]湖南工业大学电气与信息工程学院,湖南株洲412007

出　　处：《中南大学学报(自然科学版)》2025年第3期955-965,共11页Journal of Central South University:Science and Technology

基　　金：湖南省自然科学基金资助项目(2024JJ8012,2022JJ60023);湖南省教育厅科学研究项目(23B0947);湘潭市科技计划项目(CG-ZDJH20241021);湖南电气职业技术学院科研基金项目(2025ZK007)。

摘　　要：利用Lyapunov稳定性分析方法研究一类具有传输时滞的采样负荷频率控制(load frequency control,LFC)系统的稳定性问题。首先,使用PI控制策略,建立时滞相关变量和时滞无关变量分离的采样LFC系统闭环模型。其次,基于闭环函数方法,构造一个新的包含更多系统时滞和采样信息的增广闭环型Lyapunov泛函。再次,使用积分不等式估计Lyapunov泛函导数中的二次型积分项,获得一个低保性的时滞和采样周期相关稳定性新判据。最后,基于稳定判据讨论PI控制器参数与传输时滞或采样周期最大允许上界的关系,揭示传输时滞对采样周期最大允许上界以及对系统性能的影响,计算与仿真结果验证了所提方法的有效性和优越性。The stability problem of a class of sample-data load frequency control(LFC)systems with transmission delay was investigated using Lyapunov stability analysis method.Firstly,a closed-loop model of the sampled-data LFC system which separates delay-free variables from delay-related ones was established based on PI control strategy.Secondly,by means of looped-functional approach,a novel augmented closed-loop Lyapunov functional with more time delay and sampling information was constructed.Then,by using the integral inequality to estimate the quadratic integral term in the derivative of Lyapunov functional,a new stability criterion depended on both delays and sampling periods was obtained.Finally,based on the stability criterion proposed in the paper,the relationship between PI controller parameters and the maximum allowable upper bound of the transmission delay or sampling period was discussed,and the effects of transmission delays on the allowable maximum upper bound of sampling periods and the system were performanced.The calculation and simulation results demonstrate the effectiveness and superiority of the proposed method.

关 键 词：负荷频率控制系统 稳定性 LYAPUNOV泛函 采样周期 传输时滞 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]