基于迭代隐式线性化的网状配电网潮流计算及其最优潮流模型  

Iterative Implicit Linearization Based Power Flow Calculation and Optimal Power Flow Model for Meshed Distribution Networks

作　　者：赵飞 樊雪君 李亚楼 张健 吴俊玲 张文杰 ZHAO Fei;FAN Xuejun;LI Yalou;ZHANG Jian;WU Junling;ZHANG Wenjie(China Electric Power Research Institute,Haidian District,Beijing 100192,China;The 6th Research Institute of China Electronics Corporation,Changping District,Beijing 102209,China;Department of Electrical Engineering,Hong Kong Polytechnic University,Kowloon 999077,Hong Kong SAR,China)

机构地区：[1]中国电力科学研究院有限公司,北京市海淀区100192 [2]中国电子信息产业集团有限公司第六研究所,北京市昌平区102209 [3]香港理工大学电机工程学系,中国香港特别行政区九龙城区999077

出　　处：《中国电机工程学报》2024年第6期2197-2207,I0009,共12页Proceedings of the CSEE

基　　金：国家自然科学基金项目(U2166211)。

摘　　要：随着分布式能源和储能容量的增加以及电动汽车的普及,配电网的功率流动由单向转变为双向,且网络拓扑由径向转变为复杂的网状结构。为了高效应对网状配电网的潮流(power flow,PF)分析和最优潮流(optimal power flow,OPF)问题,以及进一步提升现有线性化模型的近似精度、完善对网络损耗等元素的线性近似,该文构建迭代隐式线性化潮流(iterative implicit linearization power flow,IIL-PF)模型及其最优潮流模型(IIL-OPF)。该模型将非线性潮流流形M(Manifold)视为节点电压和节点注入功率之间的隐式代数关系,之后利用切平面对M进行局部近似,并迭代更新线性化点以提高线性模型的近似精度。此外,所提模型充分考虑了支路始/末端潮流、支路潮流平方、支路损耗等因素,并对其进行明确的线性化推导。最后,基于修改的IEEE 33系统,分别在径向和网状运行方式下,验证所提模型可快速收敛,并具有较高的近似精度。其中IIL-PF计算结果、IIL-OPF的目标函数和发电机出力等优化结果与MATPOWER的非线性模型相比,误差均在1%以内,因此所提模型可以满足工程规划或日前运行模拟等应用要求。With the increase of distributed energy and energy storage capacity and the popularization of electric vehicles,the power flow in the distribution network has changed from unidirectional to bidirectional,and the network topology has changed from a radial structure to a complex meshed structure.In order to efficiently deal with the power flow(PF)analysis and optimal PF(OPF)problems of meshed distribution networks,as well as to further improve the approximation accuracy of the existing linearization models and to refine the linear approximation of network losses,this paper constructs an iterative implicit linearization PF model(IIL-PF)and its optimal PF model(IIL-OPF).The proposed model considers the nonlinear PF manifoldMas an implicit algebraic relationship between the node voltages and the nodal power injections,after whichMis locally approximated using the tangent plane,and the linearization points are iteratively updated to improve the approximation accuracy of the linear model.In addition,the proposed model considers the branch start/end PF,the squared PF,and the line losses,and derives an explicit linearization for them.Finally,based on the modified IEEE 33 system in radial and meshed operation modes,respectively,it is verified that the proposed model can converge quickly and has high approximation accuracy.The results of IIL-PF,objective function of IIL-OPF and generator power are within 1%error compared with MATPOWER's nonlinear models,so the proposed model can meet the requirements of engineering planning or day-ahead operation simulation.

关 键 词：配电网 网状拓扑 潮流计算 最优潮流 隐式线性化 

分 类 号：TM71[电气工程—电力系统及自动化]