基于全纯嵌入法的电力系统静态电压稳定性研究  

Static Voltage Stability Based on Holomorphic Embedding Method

作　　者：都念纯 唐飞[1] 廖清芬[1] 高鑫[1] 李宇[1] 魏孝卿 DU Nianchun;TANG Fei;LIAO Qingfen;GAO Xin;LI Yu;WEI Xiaoqing(School of Electrical Engineering and Automation,Wuhan University,Wuhan 430072,China)

机构地区：[1]武汉大学电气与自动化学院,湖北武汉430072

出　　处：《智慧电力》2021年第9期8-15,69,共9页Smart Power

基　　金：国家自然科学基金资助项目(51977157)。

摘　　要：快速准确地计算电压稳定临界点能够有效评估电力系统静态电压稳定性,有利于实现电网安全稳定运行的监测与控制。结合复分析与数值逼近理论,提出了一种基于全纯嵌入法的静态电压稳定性分析方法。首先,构建电力系统潮流的全纯嵌入模型,将电压函数以级数形式解析展开;然后,通过Padé逼近算法,建立电压关于嵌入变量的有理函数解析式,提出一种基于有理函数零极点分布来预测电压稳定临界点的方法;最后,研究幂级数项数、软件的运算精度对电压稳定临界点计算结果的影响。该方法采用非迭代思想,相较于传统的连续潮流法,无需多次求解潮流方程,计算复杂度大大降低,时间优势更加明显。仿真算例验证了所提方法的有效性及准确性。Calculating the critical point of voltage stability quickly and accurately can evaluate the static voltage stability effectively.It is conducive to monitor and control the safe and stable operation of power grid.Referring to the theory of complex analysis and numerical approximation,a static voltage stability analysis method is proposed based on holomorphic embedding method.Firstly,the holomorphic embedding model of power flow is constructed.The voltage function is expanded analytically in the form of series.Then,the rational function of voltage about embedded variable is established with Padéapproximation algorithm.A method based on the zero-pole distribution of rational function is proposed to predict the critical point of voltage stability.Finally,the effect of the number of terms of power series and the operating precision of software on the calculation results of voltage stability critical point is studied.Compared with the traditional continuous power flow method,this method adopts the non-iterative idea and does not need to solve the power flow equation for many times.The computational complexity is greatly reduced and the time advantage is more obvious.The effectiveness and accuracy of the proposed method are verified by simulation examples.

关 键 词：静态电压稳定 全纯嵌入法 PADÉ逼近 零极点分布 临界点 

分 类 号：TM712[电气工程—电力系统及自动化]