摘要
为降低电力系统有功网损,提升电力系统电压稳定性,提出将有载调压变压器、并联电容器和线路切换共同作为调节手段,从而实现网侧资源的统一协调优化。为此构建一种以系统有功网损最小为目标,计及电压稳定裕度约束的网侧资源统一优化数学模型。由于模型中存在大量离散变量,造成原问题求解困难,并且阶跃变化的离散变量对电压稳定的影响具有较强的非线性,因此提出一种小步长逼近方法模拟离散变量变化对目标函数产生的阶跃式影响,通过求解若干小步长子问题逐步接近离散值,得到离散变量的近似值,然后再利用价值函数对原问题进行求解得到最终解。通过在IEEE 118节点和662节点系统进行测试,所得结果与分支定界法进行对比,表明所提方法求解更快且精度更高,能够有效降低系统有功网损。
To reduce the active network loss of the power system and improve the static voltage stability of power systems,the coordinated optimization framework,which jointly considers on-load tap-changing transformers,shunt capacitors,and transmission line switching as control resources,is investigated in this paper.To this end,a unified grid-side resource optimization model is formulated with the objective of minimizing active power losses while explicitly incorporating voltage stability margin constraints.However,due to a large number of discrete variables in the proposed problem,the original optimization problem is difficult to solve.Moreover,the stepwise variations of discrete variables exhibit strong nonlinear impacts on voltage stability.To address these challenges,a small-step approximation method is proposed to emulate the stepwise effects of discrete variable changes on the objective function.By solving a sequence of small-step subproblems,the solution is progressively driven toward the discrete values,yielding approximate solutions for the discrete variables.Subsequently,a value function–based approach is employed to solve the original problem and obtain the final solution.Numerical studies are conducted on the IEEE 118-node and 662-node systems.Comparative results with the branch-and-bound method demonstrate that the proposed approach achieves faster convergence and higher solution accuracy,while effectively reducing active power losses in the system.
作者
许瑞龙
王蕾
吴科
刘奇
XU Ruilong;WANG Lei;WU Ke;LIU Qi(Shandong Provincial Key Laboratory of New Power Distribution&Utilization Technology and Equipment,Shandong University of Technology,Zibo 250000,China;School of Electrical and Electronic Engineering,Shandong University of Technology,Zibo 250000,China;Research Institute of Electric Power Grid,Hainan Power Grid Limited,Haikou 570226,China)
出处
《供用电》
北大核心
2026年第2期103-111,121,共10页
Distribution & Utilization
基金
国家自然科学基金项目(52377109)
海南省自然科学基金项目(525QY910)
山东省自然科学基金项目(ZR2022ME187)。
关键词
线路切换
电压稳定性
小步长逼近方法
价值函数
离散变量
transmission line switching
voltage stability
small-step approximation method
merit function
discrete variables
