Probabilistic Optimal Power Flow Considering the Dependence of Multiple Wind Farms Using Pair Diffusive Kernel Copula
作者机构：the School of Electric Power EngineeringSouth China University of TechnologyGuangzhou 510641China
出 版 物：《CSEE Journal of Power and Energy Systems》 (中国电机工程学会电力与能源系统学报（英文）)
年 卷 期：2023年第9卷第5期
页 面：1641-1654页
核心收录：
学科分类：080802[工学-电力系统及其自动化] 0808[工学-电气工程] 08[工学] 0807[工学-动力工程及工程热物理]
基 金：supported by Key-Area Research and Development Program of Guangdong Province(No.2020B010166004) the National Natural Science Foundation of China(No.52077081)
主 题：Bivariate diffusive kernel copula correlated wind speeds pair diffusive kernel copula probabilistic optimal power flow quasi-Monte Carlo Rosenblatt transformation
摘 要：As wind farms are commonly installed in areas with abundant wind resources,spatial dependence of wind speed among nearby wind farms should be considered when modeling a power system with large-scale wind *** this paper,a novel bivariate non-parametric copula,and a bivariate diffusive kernel(BDK)copula are proposed to formulate the dependence between random *** copula is then applied to higher dimension using the pair-copula method and is named as pair diffusive kernel(PDK)copula,offering flexibility to formulate the complicated dependent structure of multiple random ***,a quasi-Monte Carlo method is elaborated in the sampling procedure based on the combination of the Sobol sequence and the Rosen-blatt transformation of the PDK copula,to generate correlated wind speed *** proposed method is applied to solve probabilistic optimal power flow(POPF)*** effectiveness of the BDK copula is validated in copula ***,three different data sets are used in various goodness-of-fit tests to verify the superior performance of the PDK copula,which facilitates in formulating the dependence structure of wind speeds at different wind ***,samples obtained from the PDK copula are used to solve POPF problems,which are modeled on three modified IEEE 57-bus power *** to the Gaussian,T,and parametric-pair copulas,the results obtained from the PDK copula are superior in formulating the complicated dependence,thus solving POPF problems.
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