基于ADMM的多区域直流系统完全分布式最优潮流算法  

A fully distributed optimal power flow algorithm for multi-regional DC systems based on ADMM

作　　者：叶清泉 吴明启 吴旭光 陈伟 高天乐 项基[4] YE Qingquan;WU Mingqi;WU Xuguang;CHEN Wei;GAO Tianle;XIANG Ji(State Grid Pingyang Power Supply Company,Wenzhou,Zhejiang 325400,China;Polytechnic Institute,Zhejiang University,Hangzhou 310015,China;Pingyang Changtai Electric Power Industry Co.,Ltd,Wenzhou,Zhejiang 325400,China;College of Electrical Engineering,Zhejiang University,Hangzhou 310027,China)

机构地区：[1]国网浙江省电力有限公司平阳县供电公司,浙江温州325400 [2]浙江大学工程师学院,杭州310015 [3]平阳县昌泰电力实业有限公司,浙江温州325400 [4]浙江大学电气工程学院,杭州310027

出　　处：《浙江电力》2024年第2期13-24,共12页Zhejiang Electric Power

基　　金：国网浙江省电力公司集体企业科技项目(2021-YF-PYCT-02)。

摘　　要：针对传统集中式最优潮流算法扩展性差的问题,提出一种适用于求解大规模分布式电源接入的直流系统最优潮流的完全分布式算法。首先,利用凸松弛方法将非凸的直流系统最优潮流模型转化为二阶锥规划模型;然后,基于ADMM(交替方向乘子法)建立求解该模型的分布式算法,再去除算法中的一致性变量,从而将其改进成为直流系统最优潮流的完全分布式算法;最后,在改进的IEEE13节点和118节点系统算例上进行的仿真验证表明,该算法无需中央协调单元协同各区域的边界一致性信息,通过各区域的并行优化、相邻区域间少量边界节点信息的交换,即可得出辐射式以及环网拓扑的直流系统最优潮流问题的全局最优解。To address the scalability limitations of traditional centralized optimal power flow algorithms,a fully dis⁃tributed algorithm for solving optimal power flow in DC systems with large-scale distributed energy sources is pro⁃posed.Firstly,the non-convex optimal power flow model of DC systems is transformed into a second-order cone pro⁃gramming(SOCP)model using convex relaxation methods.Subsequently,a distributed algorithm based on the alter⁃nating direction method of multipliers(ADMM)is established to solve this model.The algorithm is then transformed by eliminating consensus variables into an improved fully distributed algorithm for optimal power flow in DC sys⁃tems.Finally,in simulation tests on enhanced IEEE 13-node and 118-node systems,the algorithm proved capable of achieving a globally optimal solution for optimal power flow in radial and ring DC systems.Notably,this was ac⁃complished without the necessity of a central coordinating unit to synchronize boundary consistency information across regions.Instead,the algorithm relies on parallel optimization within each region and the exchange of minimal boundary node information between adjacent regions.

关 键 词：最优潮流 分布式优化 凸松弛 二阶锥规划 交替方向乘子法 

分 类 号：TM744[电气工程—电力系统及自动化]