基于准稳态模型的中长期电压稳定轨迹多项式逼近方法  

Quasi-steady-state Model Based Polynomial Approximation Method of Medium-and Long-term Voltage Stability Trajectory

作　　者：夏冰清 申丹枫 郑翔 华文[3] 吴浩[1] 宋永华[1] XIA Bingqing;SHEN Danfeng;ZHENG Xiang;HUA Wen;WU Hao;SONG Yonghua(College of Electrical Engineering,Zhejiang University,Hangzhou 310027,China;State Grid Zhejiang Electric Power Co.,Ltd.,Hangzhou 310014,China;Electric Power Research Institute of State Grid Zhejiang Electric Power Co.,Ltd.,Hangzhou 310014,China)

机构地区：[1]浙江大学电气工程学院,浙江省杭州市310027 [2]国网浙江省电力有限公司,浙江省杭州市310014 [3]国网浙江省电力公司科学研究院,浙江省杭州市310014

出　　处：《电力系统自动化》2020年第8期116-123,共8页Automation of Electric Power Systems

基　　金：国家自然科学基金资助项目(51777184);国家电网公司总部科技项目(521104170013)。

摘　　要：针对电力系统中存在的影响中长期电压稳定性的可变参数,提出了一种基于准稳态模型的中长期电压稳定轨迹的多项式逼近方法,该方法可以利用所得的多项式逼近函数准确地分析系统参数的变化对中长期电压稳定性的影响。多项式逼近作为分析参数对系统状态影响的有效工具,其基本思想是用多项式近似地表示连续函数,文中在此基础上考虑电力系统中长期过程中的连续动态和离散动态,通过传统伽辽金方法构造出能够显式地描述系统变量与参数之间近似关系的多项式逼近式。与传统的线性化方法相比,由于文中所提方法可以描述系统的非线性特征,所以逼近精度有大幅提升,且方法的精度随着所选多项式基函数阶数的增加而提高。Nordic 74节点系统的算例分析结果表明该方法能在中长期电压稳定问题的研究中提供更准确的分析结果。There are many variable parameters in power systems which affect the stability of medium-and long-term voltage stability,a quasi-steady-state model based polynomial approximation method of medium-and long-term voltage stability trajectory is proposed.With this method,the impact of system parameter variation on medium-and long-term voltage stability can be accurately analyzed by using polynomial approximation function.Polynomial approximation is regarded as an effective tool to analyze the impact of analysis parameters on system state,the basic idea of which is approximating a continuous function with polynomial.Based on it,continuous dynamic and discrete dynamic in medium-and long-term power system are considered,and a polynomial approximation expression which can explicitly describe the approximation relationship between system variables and parameters is formed by the traditional Galerkin method.Compared with the traditional linearization technique,the approximation precision is increased greatly because the proposed method can describe the nonlinear characteristics of the system.In addition,the accuracy of the proposed method increases with the increase of the degree of the selected polynomial basis function.Case analysis results of Nordic 74 node system show that the method can provide more accuracy analysis results in the study of medium-and longterm voltage stability problems.

关 键 词：中长期电压稳定 传统伽辽金法 多项式逼近 轨迹灵敏度 

分 类 号：TM712[电气工程—电力系统及自动化]