多区域时滞电力系统稳定判据的优化

Optimization of stability criterion for multi-area power system with time delay

中文关键词  时滞系统  Wirtinger不等式  稳定判据  Lyapunov稳定性  时滞稳定裕度

英文关键词  time delay system  Wirtinger inequality  stability criterion  Lyapunov stability  delay margin

中文摘要

      在大规模互联电力系统进行全网动态分析与控制的过程中, 通信时滞的存在易导致动力系统产生控制设备失 效、系统性能恶化及失稳等现象. 而现有时滞系统稳定判据的研究多基于Lyapunov分析方法, 研究过程中需采用不等式 放缩及构造Lyapunov泛函, 使得稳定判据具有较高保守性, 增加了系统的控制成本. 针对这一问题, 本文以多区域时滞 电力系统为研究对象, 通过引入Wirtinger不等式优化稳定判据推导过程和构造新的Lyapunov泛函两种方式, 降低系统 稳定判据的保守性. 最后, 利用典型的二阶时滞系统和两区域负荷频率控制系统, 验证了本文算法的正确性和有效性. 关键词: 时滞系统; Wirtinger不等式; 稳定判据; Lyapunov稳定性; 时滞稳定裕度

英文摘要

      In the process of dynamic analysis and control of large-scale interconnected power system, the communication delay can lead to failure of control system, system performance deterioration and instability. Much of the existing researchs stability criterion for the time delay system is based on Lyapunov analysis method. However, due to need utilize the inequality method and construct the Lyapunov functional in the process of research, which lead to the obtained stability criterion is conservative and increase control costs for the system. In this paper, the stability creterion for the multi-area interconnected power system with time delay has been discussed. The conservativeness of the system stability criterion is reduced, which optimize the stability criterion derivation process based on the Wirtinger inequality and construct the new Lyapunov functional. Finally, a typical second order delay system, a two area delay power system are taken to verify the correctness and effectiveness of the paper algorithm.