基于一种改进型逆凸不等式的混合攻击下多区域时滞电力系统的分布式控制

本文研究了混合攻击下多区域时滞电力系统的分布式协调控制问题。首先，考虑了一种基于混合攻击下（包括拒绝服务攻击和欺骗攻击）的多区域时滞电力系统，在拒绝服务攻击下，时滞电力系统的各个区域之间的通信将恶化为一种切换残余拓扑结构，它的时间特性建模成了模型依赖的平均停留时间的模型。在以负反馈控制为目标的欺骗攻击下，将其建模成了基于符号函数的模型。然后，为了在低惯性和混合攻击下获得时滞电力系统的弹性性能，采用了负荷频率控制与虚拟惯性控制相结合的弹性分布式策略，并将时滞电力系统的负荷频率控制问题转换为切换非线性切换系统控制问题。再通过采用合适的Lyapunov-Krasovskii泛函、改进型逆凸不等式、线性矩阵不等式技术以及切换系统方法，得到了多区域时滞电力系统的稳定性定理。并基于此定理，设计了负荷频率控制和虚拟惯性控制下的分布式控制增益。最后，建立仿真，针对三区域电力系统进行了仿真，仿真结果体现了本文所提出来的稳定性定理和设计的分布式控制增益的优势和有效性。

Distributed Control of Multi-area Power Systems with Time Delays Under Mixed Attacks Based on an Improved Inverse Convex Inequality

This paper studies the distributed coordinated control of multi-area power systems with time delays under mixed attacks. First, this paper considers a multi-area time-delay power system based on mixed attacks (including denial of service attacks and spoofing attacks). Under a denial of service attack, the communication between the various area of the time-delay power system will deteriorate into a switching residual topology, and its time characteristic is modeled as a model of the average residence time that the model depends on. Under the deception attack targeting negative feedback control, its model is based on the model of symbolic function. Then, in order to obtain the elastic performance of the time-delay power system under low inertia and hybrid attacks, a flexible distributed strategy combining load frequency control and virtual inertia control is adopted. The load frequency control problem of the time-delay power system is transformed into a switching nonlinear switching system control problem. By adopting suitable Lyapunov-Krasovskii functionals, improved inverse convex inequalities, linear matrix inequality techniques and switching system methods, the stability theorems of multi-region time-delay power systems are obtained. Based on this theorem, distributed control gains under load frequency control and virtual inertia control are designed. Finally, a simulation is established to simulate the three-region power system. The simulation results reflect the advantages and effectiveness of the stability theorem proposed in this paper and the designed distributed control gain.