基于Wirtinger不等式的电力系统延时依赖稳定判据

发布时间：2018-06-16 02:56

本文选题：电力系统 + 时滞　；参考：《电力系统自动化》2017年02期

【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。
[Abstract]:With the expansion of the scale and interconnected area of modern power system, the delay problem in the process of measuring signal transmission has attracted wide attention. The conventional approach to this problem is based on Lyapunov stability theory to calculate the delay stability margin that the system can withstand. Inequality scaling is inevitable in the process of solving the criterion. The conservatism of criterion is one of the important indexes to measure the quality of criterion. First, a new Lyapunov functional is constructed, and then the derived delay dependent stability criterion is derived by using the Wirtinger inequality technique, which can greatly reduce the conservatism of the result. Then, by means of the linear matrix inequality (LMI) toolbox in MATLAB, the time-delay stability margin of the system can be obtained. Finally, the simulation results are verified by the typical second-order time-delay system and four-machine two-area power system with wide area damping control (WADCC) loop. The results show that the stability criterion obtained by Wirtinger inequality is less conservative.
【作者单位】：河海大学能源与电气学院;
【基金】：国家自然科学基金资助项目(61104045) 高等学校学科创新引智计划(“111”计划)资助项目(B14022) 中央高校基本科研业务费专项资金资助项目(2014B08014)~~
【分类号】：TM712

【相似文献】