基于二阶锥松弛最优潮流的Copula函数与鲁棒加权K-Means方法的光伏承载能力评估  

Copula function based on second-order cone relaxation optimal power flow and robust weighted K-Means method for PV carrying capacity evaluation

作　　者：李翠萍[1] 王艳丽[1] 朱星旭[1] 綦雪松 关潇卓 李军徽 常志华 白艳阳 李花顺 LI Cuiping;WANG Yanli;ZHU Xingxu;QI Xuesong;GUAN Xiaozhuo;LI Junhui;CHANG Zhihua;BAI Yanyang;LI Huashun(Key Laboratory of Modern Power System Simulation and Control&Renewable Energy Technology,Ministry of Education(Northeast Electric Power University),Jilin 132012,China;State Grid Jilin Electric Power Company Limited Jilin Power Supply Company,Jilin 132000,China)

机构地区：[1]现代电力系统仿真控制与绿色电能新技术教育部重点实验室(东北电力大学),吉林省吉林市132012 [2]国网吉林省电力有限公司吉林供电公司,吉林省吉林市132000

出　　处：《电工电能新技术》2025年第2期74-88,共15页Advanced Technology of Electrical Engineering and Energy

基　　金：国家电网吉林市供电公司科技项目(SGTYHT/23-JS-001);吉林省自然科学基金联合基金项目(YDZJ-202101ZYTS152)。

摘　　要：本文在考虑光伏不确定性与源荷相关性的基础上,对光伏承载能力评估以及光伏承载能力的提升进行了研究。首先,提出了基于Copula函数结合改进拉丁超立方采样的源荷相关性方法,生成了源荷相关性矩阵。之后采用鲁棒加权的K-Means方法对源荷相关性矩阵聚类生成典型场景。然后考虑到经济性和技术性指标对光伏承载能力结果的影响,建立了以投资运行总成本最小为目标的光伏承载能力评估二阶锥松弛最优潮流规划模型,通过配置储能的方式研究储能配置对光伏承载能力提升效果的影响,并进一步分析了不同储能配置方案下光伏承载能力的提升效果,采用YALMIP矩阵和CPLEX求解器对模型进行寻优求解。最后,通过IEEE-33节点算例仿真验证了本文提出方法的有效性。In this paper,the PV carrying capacity as well as the enhancement of PV carrying capacity is investigated based on the consideration of PV uncertainty and source-load correlation.Firstly,a source-load correlation method based on Copula function combined with improved Latin hypercubic sampling is proposed to generate the source-load correlation matrix.Afterwards,a robust K-Means method is used to cluster the source-load correlation matrix to generate typical scenarios.Then,considering the influence of economic and technical indicators on the carrying capacity results,a second-order cone relaxation optimal current planning model for PV carrying capacity assessment with the objective of minimising the total cost of investment and operation is established,and the YALMIP and CPLEX solvers are used to find the optimal solution for the model.Finally,the effectiveness of the proposed method is verified by the IEEE-33 node simulation.

关 键 词：配电网 分布式光伏 承载能力 源荷相关性 光伏不确定性 二阶锥松弛最优潮流 

分 类 号：TM72[电气工程—电力系统及自动化]