随机环境下电力信息物理系统小干扰稳定及鲁棒控制方法  

Small Signal Stability and Robust Control Method of Cyber Physical Power System in Stochastic Environment

作　　者：韩子熙 黄宗武 张宸瑄 张兆毅 熊丰 樊友平[1,2] HAN Zi-xi;HUANG Zong-wu;ZHANG Chen-xuan;ZHANG Zhao-yi;XIONG Feng;FAN You-ping(Institute of Next Generation Power Systems and International Standards,Wuhan University,Wuhan 430072,China;School of Electrical Engineering and Automation,Wuhan University,Wuhan 430072,China)

机构地区：[1]武汉大学新型电力系统与国际标准研究院,武汉430072 [2]武汉大学电气与自动化学院,武汉430072

出　　处：《科学技术与工程》2025年第4期1512-1521,共10页Science Technology and Engineering

基　　金：国家重点研发计划(2023YFF0612200);中央高校基本科研业务费专项(2042023kf1015)。

摘　　要：电力信息物理系统(cyber physical system, CPS)的运行稳定性容易受到来自信息侧与物理侧不确定因素的影响。基于随机不确定模型研究信息-物理网络相互依存的电力CPS稳定性分析方法,并提出一种鲁棒广域反馈频率控制技术。综合信息侧离散性和物理侧连续性的本质不同以及在功能上的相互影响,分别从物理域与信息域两个维度建立考虑随机不确定性的电力CPS动态模型。根据随机微分方程均方指数稳定性条件,针对电力CPS随机模型进行小干扰稳定性分析,采用基于均方范数计算的临界方差刻画随机不确定性对电力CPS小干扰稳定的影响。结合基于线性矩阵不等式约束的范数优化问题,在分布式控制方法的基础上改进设计一种鲁棒广域反馈控制器。最后通过IEEE 39节点系统进行仿真分析,结果验证了所提方法的正确性和有效性。The stability of power cyber physical system(CPS)is easily affected by stochastic uncertainty from both the information and physical sides.A stability analysis method for power CPS based on stochastic uncertainty model and a robust wide area feedback frequency control method were proposed.Taking into account the essential differences between the discreteness of the information side and the continuity of the physical side,as well as the mutual influence in terms of functionality,a dynamic model of power CPS in stochastic environment was established from both the information and physical sides.According to the definition of mean square exponential stability of stochastic differential equations,small signal stability analysis was conducted for dynamic model of power CPS.The critical variance based on mean square norm calculation was used to describe the impact of stochastic uncertainty on small signal stability of power CPS.Focusing on the norm optimization problem based on linear matrix inequality constraints,a robust wide area feedback controller was designed based on the distributed control method.Finally,simulation analysis was conducted on an IEEE 39 bus system,and the results verified the correctness and effectiveness of the proposed method.

关 键 词：信息物理系统(CPS) 随机不确定性 小干扰稳定 负荷频率控制 鲁棒分布式控制 

分 类 号：TM712[电气工程—电力系统及自动化]