基于扩展Nataf变换的交直流混合系统概率潮流计算方法  

Probabilistic Power Flow Calculation Method of AC/DC Hybrid System Based on Extended Nataf Transformation

作　　者：刘承锡 蒋友津 韩江北 LIU Cheng-xi;JIANG You-jin;HAN Jiang-bei(School of Electrical Engineering and Automation,Wuhan University,Wuhan 430000,China)

机构地区：[1]武汉大学电气与自动化学院,武汉430000

出　　处：《科学技术与工程》2023年第24期10362-10371,共10页Science Technology and Engineering

基　　金：国家自然科学基金(52007133);国家重点研发计划(2021YFE0191200)。

摘　　要：随着新型电力系统高比例新能源与高比例电力电子化的“双高”特征日益凸显,交直流混合已成为中国电力系统的典型特征。伴随着可再生能源出力的随机性,交直流混合系统的潮流也表现出随机性。为此,提出一种基于扩展Nataf变换和拉丁超立方采样的交直流混合系统概率潮流计算方法。首先,建立适用于概率潮流计算的交直流混合系统潮流模型。同时,针对Nataf变换无法处理源荷相关系数矩阵非正定的情况,采用一种基于奇异值分解的扩展Nataf变换,并结合拉丁超立方采样进行交直流混合系统的概率潮流计算。此外,针对传统Gram-charlier级数存在节点电压幅值等状态变量概率为负值的情况,提出一种C型Gram-charlier级数以解决该问题。最后,在改进的57节点交直流混合系统中验证了所提方法的有效性。Along with the “double high” characteristic of high proportion new energy and high proportion electric power electronic in new power system,AC/DC hybrid has become a typical characteristic of Chinese power system.Along with the randomness of renewable energy output,the power flow of AC/DC hybrid system also shows randomness.Therefore,a probabilistic power flow calculation method for AC-DC hybrid system based on extended Nataf transformation and Latin hypercube sampling was proposed.Firstly,a power flow model of AC/DC hybrid system was established for probabilistic power flow calculation.At the same time,in the case that the Nataf transform cannot deal with the non-positive definite correlation coefficient matrix,an extended Nataf transformation based on singular value decomposition and Latin hypercube sampling were adopted to calculate the probabilistic power flow of AC-DC hybrid system.In addition,a C-type Gram-charlier series was proposed to solve the problem that the probability of state variables such as node voltage amplitude may be negative in the traditional Gram-charlier series.Finally,the effectiveness of the proposed method was verified in an improved 57-node AC/DC hybrid system.

关 键 词：交直流混合系统 概率潮流 扩展Nataf变换(ENT) 拉丁超立方采样 C型Gram-charlier级数 

分 类 号：TM744[电气工程—电力系统及自动化]