H∞ Intermittent Sampled-Data Load Frequency Security Control of Multi-Area Power System

In this paper, an H∞ intermittent sampled-data load frequency security control (ISDLFSC) scheme is designed to solve the security control problem of multi-area power systems (MAPS) under random deception attacks. In this scheme, the intermittent control signal is only used in the working interval and can effectively save the control cost where sampled-data control can save limited network bandwidth and security control can effectively resist the influence of random deception attacks on the MAPS. According to the characteristics of intermittent control and sampled-data control, and the influence of randomly deception attacks, a closed-loop MAPS is given. In order to analyze the mean square exponential stability and H∞ performance of the MAPS, a switching-time-dependent Lyapunov functional is proposed. Then, in the framework of linear matrix inequalities (LMIs), sufficient conditions for the existence of H∞ intermittent sampled-data load frequency security controller are derived. Finally, the effectiveness of the proposed design method is verified by the simulation of the 3-area power system under random deception attacks.

本文针对随机欺骗攻击下多区域电力系统（MAPS）的安全控制问题，设计了一种H∞间歇采样数据负荷频率安全控制（ISDLFSC）方案。该方案仅在工作区间启用间歇控制信号，可有效节约控制成本；其中采样数据控制能够节省有限的网络带宽，安全控制则可有效抵御随机欺骗攻击对多区域电力系统的影响。结合间歇控制与采样数据控制的特性，以及随机欺骗攻击的影响，构建了闭环多区域电力系统模型。为分析该多区域电力系统的均方指数稳定性与H∞性能，本文提出了一种依赖切换时间的李雅普诺夫泛函。随后在线性矩阵不等式（LMIs）框架下，推导出H∞间歇采样数据负荷频率安全控制器存在的充分条件。最后，通过随机欺骗攻击场景下三区域电力系统的仿真实验，验证了所提设计方法的有效性。