中文摘要：

针对现代电力系统中存在的传输信号延时问题,综合考虑实际系统中的多时滞耦合和不确定参数,给出适用于多时滞不确定电力系统的改进时滞依赖鲁棒稳定判据。其中Wirtinger不等式放缩技巧的应用和松散项的引入能够降低结果的保守性,特别是一些必要松散项的引入与Schur补的结合,可有效处理系统中的不确定参数。最后,分别以典型二阶时滞系统、单机无穷大时滞电力系统和WSCC 3机9节点电力系统为例,借助MATLAB中的线性矩阵不等式工具箱,对所提方法进行校验分析,得到系统所能承受的时滞稳定裕度。结果显示所提方法可以对含有不确定参数的多时滞电力系统进行有效的鲁棒稳定性分析,并且结果的保守性也得到了显著降低。

英文摘要：

Faced with time delay induced by signal transmission in modern power systems, an improved robust delay-dependent stability criterion is proposed for power systems with multiple time delays and uncertain parameters, where the multiple time delay coupling and uncertain parameters in the actual power system are taken into account. It is noted that the Wirtinger integral inequality used and some slack terms introduced will reduce the conservatism of the result, and these uncertain parameters can be handled by adopting some necessary slack terms and Schur complement. Finally, a typical second-order time-delay system, a single-machine infinite-bus system and the WSCC 3-generator 9-bus are provided to verify the effectiveness of the criterion obtained by using the linear matrix inequality（ LMI） control toolbox. And the robust time-delay margin of the power system can be obtained. Simulation results show that the obtained criterion can be applied for robust stability analysis for power systems with multiple time delays and uncertain parameters, and the conservatism could also be greatly reduced.