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中文摘要：
随着现代电力系统规模和互联区域的不断扩大,测量信号传输过程中的延时问题引起了广泛的关注。该问题的常规处理方法是基于Lyapunov稳定性理论求出系统所能承受的时滞稳定裕度,求解判据过程中不可避免地利用不等式放缩,因此,判据保守性的高低成为衡量判据优劣的重要指标之一。首先构造全新的Lyapunov泛函,进一步利用Wirtinger不等式技巧对求导后的泛函进行放缩,推导得出相应的延时依赖稳定性判据,可大大降低结果的保守性。然后,借助MATLAB中的线性矩阵不等式（LMI）工具箱进行求解,求得系统所能承受的时滞稳定裕度。最后,借助典型二阶时滞系统和包含广域阻尼控制（WADC）回路的四机两区域电力系统,对所得结果进行仿真验证。结果表明,利用Wirtinger不等式所得到的稳定性判据具有更低的保守性。
英文摘要：
With the steady expansion of modern power system and the interconnected region,the time delay problem in the process of measuring signal transmission has aroused extensive concern.The conventional method of tackling the problem consists in finding the time delay margin bearable to the system based on the Lyapunov stability theory to solve the inevitable inequality amplification and contraction in the process of obtaining the criteria.Thus the conservatism of stability criteria has become one of the significant indices to measure the merit of criteria.A novel Lyapunov function is proposed first,followed by using Wirtinger integral inequality to reduce the conservatism of stability criteria when zooming out the derivative of Lyapunov function.Then,delay-dependent stability criteria are derived via linear matrix inequality（LMI）to find the time delay margin of the power system.Finally,a typical second-order delay system and a two-area four-machine system including wide-area damping control（WADC）are provided to verify the effectiveness of the criteria obtained.Simulation results show that the main result obtained by Wirtinger integral inequality can reduce the conservatism of stability criteria.
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