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Robust Stability Analysis for Wide-area Power System Considering Influence of Stochastic Time-delay
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[1]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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Journal of Zhengzhou University (Engineering Science)[ISSN 1671-6833/CN 41-1339/T] Volume: 46 Number of periods: 2025 05 Page number: 98-106 Column: Public date: 2025-08-10
Title:
Robust Stability Analysis for Wide-area Power System Considering Influence of Stochastic Time-delay
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
Keywords:
wide-area power systems;  stochastic time-delay;  stability;  Lyapunov functional;  integral inequality
CLC:
TM712
DOI:
10.13705/j.issn.1671-6833.2025.05.004
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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Last Update: 2025-09-19
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