中文摘要：

随着同步相量测量单元（PMU）在电力系统中的广泛应用，开展基于广域测量系统（WAMS）的广域控制的研究具有重要的理论和实际意义。由于远方反馈信号的时滞影响，基于广域信号的闭环电力系统将是一个典型时滞微分动力系统。针对这种时滞微分动力系统，该文提出了一套基于线性矩阵不等式（LMI）理论的广域FACTS阻尼控制器的设计方法。对于高维、时滞电力系统，首先应用Schur降阶算法进行降阶处理，然后在降阶系统上应用LMI理论和遗传算法设计了具有最大允许时滞的广域FACTS控制器。以提高互联电力系统对反馈信号时滞的不敏感性。并将所提出的方法应用于广域SVC控制器的设计。时域仿真结果表明：当考虑反馈输出信号的时滞后，所设计的广域FACTS控制器仍能有效地阻尼10机39节点新英格兰测试系统中的低频振荡。

英文摘要：

With the wide application of synchronized phase measurement unit （PMU） in power systems, the wide-area measurement-based stabilizing control has enabled the use of a combination of measured signals from remote locations for centralized control purpose. However, the impact of time delays introduced by remote signals＇ transmission and processing in WAMS has to be considered, and the closed-loop power systems have to be modeled as time-delay differential dynamic systems. This paper investigates the wide-area FACTS controller design problem of power system in the presence of output feedback delays in WAMS. In order to eliminate the negative effects of time delays, a general approach based on linear matrix inequality （LMI） technique, genetic algorithm and Schur model-reduced algorithm is proposed to design effective FACTS controller. New England test power system （NETPS） is presented to verify that the derived FACTS controllers can damp out the low-frequency oscillations in the system for various time delays of output signals.