摘要
针对大规模互联电力系统中存在的传输信号延时问题,提出了一种计及随机时滞的广域电力系统鲁棒稳定性分析方法。首先,考虑实际电力系统中时滞的随机特性和不确定性因素,并假定时滞发生的概率服从伯努利分布,建立具有时滞概率分布特征和参数不确定性的系统模型;其次,为了引入更多随机时滞的概率分布信息,构造了包含系统状态信息、时滞信息及它们导数的增广向量和具有多重积分项的Lyapunov-Krasovskii(L-K)泛函,并运用广义自由权矩阵不等式处理泛函导数,得到其更加精确的上界;最后,利用Schur补引理和线性矩阵不等式方法,得到保证系统均方渐近稳定的充分条件。算例仿真结果表明:所提方法与现有其他方法相比,系统的时滞稳定裕度提高了73%,且存在参数扰动下达到稳定的时间减少了40%,结果的保守性得到了显著降低。
In view of the time-delay caused by signal transmission in the large-scale interconnected power systems,the robust stability of power systems with stochastic time-delay was investigated.Firstly,by considering the stochastic characteristics of time-delay and uncertain factors in practical systems,and assuming that the probability of time-delay obeyed Bernoulli distribution,a new system model was established.Secondly,to introduce more probability distribution information of stochastic time-delay,a new augmented vector and L-K functional with more state information and multiple integral terms were constructed.Then,by utilizing the generalized free weight matrix inequality(GFWMI)to handle the quadratic integral term,more accurate upper bound was obtained.As a consequence,a less conservative mean square asymptotic stability criterion was derived by using Schur lemma and linear matrix inequality method.Simulation results show that the proposed method improves the time-delay stability margin of the system by 73%and reduces the time to achieve stability by 40%under parameter disturbances.The conservatism of the results was significantly reduced in comparison with existing literature.
作者
刘海波
梁鹏
刘子乾
LIU Haibo;LIANG Peng;LIU Ziqian(School of Electrical Engineering and Automation,Henan Polytechnic University,Jiaozuo 454000,China;Henan Key Laboratory of Intelligent Detection and Control of Coal Mine Equipment,Henan Polytechnic University,Jiaozuo 454000,China)
出处
《郑州大学学报(工学版)》
北大核心
2025年第5期98-106,共9页
Journal of Zhengzhou University(Engineering Science)
基金
河南省科技攻关资助项目(242102240116)
河南省高等学校重点科研计划资助项目(23A413004)
河南理工大学博士基金资助项目(B2024-25)。
作者简介
刘海波(1982-),男,河南辉县人,河南理工大学副教授,博士,主要从事时滞电力系统稳定性分析与控制研究,E-mail:liuhaibbo09@hpu.edu.cn。
