基于混合单调系统理论的电压动态响应分析  

Analysis of Dynamic Voltage Response Based on Mixed Monotone System Theory

作　　者：陈民权 张谦[1] 甘德强[1] 摆世彬 田志浩 刘刚 CHEN Minquan;ZHANG Qian;GAN Deqiang;BAI Shibin;TIAN Zhihao;LIU Gang(College of Electrical Engineering,Zhejiang University,Hangzhou 310027,China;State Grid Ningxia Electric Power Co.,Ltd.,Yinchuan 750001,China)

机构地区：[1]浙江大学电气工程学院,浙江省杭州市310027 [2]国网宁夏电力有限公司,宁夏回族自治区银川市750001

出　　处：《电力系统自动化》2021年第18期85-93,共9页Automation of Electric Power Systems

基　　金：国家重点研发计划资助项目(2016YFB0900605)。

摘　　要：电力系统电压控制存在典型的负反馈环节,使得系统雅可比矩阵呈现符号特征。这类结构特征与系统特性会对电压动态的鲁棒行为产生影响,决定了电压动态的响应规律,值得深入分析。针对计及励磁系统的电压动态响应机理开展研究,根据电压模型雅可比矩阵的符号特征,采用混合单调动态系统理论来分析电压响应规律,指出网络连接模式与同步机电压调节机制是电网具有较好电压稳定性的内在原因,并明确调节器比例系数与时间常数对电压稳定性的影响。首先,文中梳理了数学模型中的单调动态系统部分与负反馈环节,明确方程结构特征与雅可比矩阵符号特征。然后,应用混合单调系统理论在反馈通道上交换信息,快速构造增广单调系统,开展电压响应的双边估计。最后,结合增广系统解轨迹有界的充分条件,得到一种稳定域估计结果,可用于判断大干扰后的电压响应是否有界,有助于理解电压动态的鲁棒行为。There is a typical negative feedback link in the voltage control of the power system, which makes the system Jacobian matrix present the sign pattern. Such structural features and system characteristics are worthy of in-depth analysis, because they affect the robust behavior and determine the response law of voltage dynamics. The response mechanism of voltage dynamics considering the excitation system is studied. According to the sign pattern of the Jacobian matrix in the voltage model, the mixed monotone dynamic system theory is used to analyze the voltage response law. It is pointed out that the network connection mode and the synchronous machine voltage regulation mechanism are the internal reasons for the better voltage stability in the power grid. The influence of regulator proportional coefficient and time constant on the voltage stability is also investigated. Firstly, this paper sorts out the part of monotone dynamic system and the negative feedback link in the mathematical model to clarify the structural feature of the equation and the sign pattern of the Jacobian matrix. Then, the mixed monotone system theory is applied to exchange the information on the feedback channel to quickly construct an augmented monotone system, which can carry out the bilateral estimation of voltage response. Finally, combining the sufficient conditions for the bounded solution trajectory of the augmented monotone system, a stable region estimation result is obtained to judge whether the voltage response is bounded after a large disturbance. The result is helpful to understand the robust behavior of voltage dynamics.

关 键 词：电压响应 负反馈 混合单调 单调动态系统 符号特征 

分 类 号：TM714.2[电气工程—电力系统及自动化]