考虑电源与负荷间存在非正定相关性的概率潮流计算方法研究  

Research on probabilistic power flow calculation method considering non-positive definite correlation between power source and load

作　　者：曹宏宇 梁言贺 刘惠颖 王晓宇 殷鑫 陈月 CAO Hongyu;LIANG Yanhe;LIU Huiying;WANG Xiaoyu;YIN Xin;CHEN Yue(Marketing Service Center,State Grid Heilongjiang Electric Power Co.,Ltd.,Harbin 150001,China;Heilongjiang Electrical Instrumentation Engineering Technology Research Center Co.,Ltd.,Harbin 150001,China)

机构地区：[1]国网黑龙江省电力有限公司营销服务中心,哈尔滨150001 [2]黑龙江省电工仪器仪表工程技术研究中心有限公司,哈尔滨150001

出　　处：《电测与仪表》2024年第7期109-115,共7页Electrical Measurement & Instrumentation

基　　金：国网黑龙江省电力有限公司项目(522472230004)。

摘　　要：随着电动汽车等新型电力系统负荷类型的出现,电源和负荷间的相关性日趋复杂,针对利用Cholesky分解完成概率潮流计算会受电力系统电源和电力系统负荷之间相关矩阵影响的问题,即随着相关矩阵维度的增加相关矩阵变为非正定,最终导致潮流计算无法进行的问题。文章提出一种新颖的处理相关性矩阵非正定的半不变量法,将修正Barzilai-Borwein梯度法与Nataf变换相结合,解决变量间相关矩阵非正定问题,并在IEEE-33节点系统中分析新型电力系统各类电源和负荷相关性对计算结果的影响,验证文章所提方法准确性。With the emergence of new types of power system loads such as electric vehicles,the correlation between power sources and loads is becoming increasingly complex.Aiming at the problem that the probabilistic power flow calculations completed using Cholesky decomposition will be affected by the correlation matrix between power system power sources and power system loads,specifically,as the dimension of the correlation matrix increases,the correlation matrix becomes non-positive definite,ultimately leading to the inability to perform power flow calculations.Therefore,this paper combines the modified Barzilai-Borwein gradient method with the Nataf transform to propose a novel semi-invariant method for handling non-positive definite correlation matrices.The impact of various power sources and new load correlations on the calculation results in the IEEE-33 node system is analyzed to verify the accuracy of the proposed method.

关 键 词：相关性 非正定 概率潮流 电动汽车充电负荷 半不变量法 

分 类 号：TM744[电气工程—电力系统及自动化]