[1]刘海波,梁　鹏,刘子乾.考虑随机时滞影响的广域电力系统鲁棒稳定性分析[J].郑州大学学报(工学版),2025,46(05):98-106.[doi:10.13705/j.issn.1671-6833.2025.05.004]
　LIU Haibo,LIANG Peng,LIU Ziqian.Robust Stability Analysis for Wide-area Power System Considering Influence of Stochastic Time-delay[J].Journal of Zhengzhou University (Engineering Science),2025,46(05):98-106.[doi:10.13705/j.issn.1671-6833.2025.05.004]
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考虑随机时滞影响的广域电力系统鲁棒稳定性分析()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
46
期数:
2025年05期
页码:
98-106
栏目:
出版日期:
2025-08-10

文章信息/Info

Title:
Robust Stability Analysis for Wide-area Power System Considering Influence of Stochastic Time-delay
文章编号:
1671-6833(2025)05-0098-09
作者:
刘海波1; 2;  梁　鹏1;  刘子乾1
1.河南理工大学 电气工程与自动化学院,河南 焦作 454000;2.河南理工大学 河南省煤矿装备智能检测与控制重点实验室,河南 焦作 454000
Author(s):
LIU Haibo1; 2;  LIANG Peng1;  LIU Ziqian1
1.School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China; 2.Henan Key Laboratory of Intelligent Detection and Control of Coal Mine Equipment, Henan Polytechnic University, Jiaozuo 454000, China
关键词:
广域电力系统;  随机时滞;  稳定性;  Lyapunov泛函;  积分不等式
Keywords:
wide-area power systems;  stochastic time-delay;  stability;  Lyapunov functional;  integral inequality
分类号:
TM712
DOI:
10.13705/j.issn.1671-6833.2025.05.004
文献标志码:
A
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。
Abstract:
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 timedelay 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.

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更新日期/Last Update: 2025-09-19