| 电力系统时滞依赖型鲁棒稳定判据及其应用 |
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| 引用本文： | 贾宏杰,安海云,余晓丹. 电力系统时滞依赖型鲁棒稳定判据及其应用[J]. 电力系统自动化, 2010, 34(3): 6-11 |
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| 作者姓名： | 贾宏杰 安海云 余晓丹 |
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| 作者单位： | 天津大学电力系统仿真控制教育部重点实验室,天津市,300072;天津大学电力系统仿真控制教育部重点实验室,天津市,300072;天津大学电力系统仿真控制教育部重点实验室,天津市,300072 |
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| 基金项目： | 国家重点基础研究发展计划(“973计划”) |
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| 摘 要： | 给出了一种改进的舍不确定性时滞环节的电力系统稳定性Lyapunov鲁棒稳定判据.首先基于Krasovskii理论列解时滞系统的Lyapunov泛函,接着将泛函对系统轨迹的导函数用一组线性矩阵不等式表达,在泛函导数推导过程中,通过引入一些必要的松散项以减少该判据的保守性,然后利用Schur补对含不确定性的扰动项进行变换,最后借助单机无穷大系统和WSCC 3机9节点系统,对含不确定性扰动的单一和双时滞情况下的系统保持鲁棒稳定时可承受的最大时滞进行分析,验证了所给方法的有效性.
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| 关 键 词： | Lyapunov 线性矩阵不等式 时滞依赖型 鲁棒稳定判据 电力系统 |
| 收稿时间： | 2009-08-20 |
| 修稿时间： | 2010-01-19 |
A Delay-dependent Robust Stability Criterion for Power System and Its Application |
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| JIA Hongjie,AN Haiyun,YU Xiaodan. A Delay-dependent Robust Stability Criterion for Power System and Its Application[J]. Automation of Electric Power Systems, 2010, 34(3): 6-11 |
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| Authors: | JIA Hongjie AN Haiyun YU Xiaodan |
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| Affiliation: | Key Laboratory of Power System Simulation and Control of Ministry of Education;Tianjin University;Tianjin 300072;China |
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| Abstract: | An improved delay-dependent robust stability criterion for power system with uncertain time-delay is presented. In the method,a Lyapunov function is constructed based on Lyapunov-Krasovskii theory,and the derivative function is then expressed as a set of linear matrix inequalities (LMI) which can be solved by the LMI toolboxes. Some necessary slack variables are introduced to its derivative function so as to reduce its conservativeness. The presented method is finally validated on a single-machine-infinite-... |
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| Keywords: | Lyapunov function linear matrix inequality (LMI) delay-dependent robust stability criterion power system |
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