基于二阶锥规划最优潮流计算的主动配电网动态重构研究

Dynamic reconstruction of active distribution networks based on second‑order cone programming for optimal power flow calculation

为有效应对大规模可再生能源接入电网的不确定性与波动性,实现配网最优运行,提出一种考虑分布式电源时变性与负荷需求特性的动态网络重构优化方法。先针对传统静态支路潮流模型的非凸性,引入松弛变量,将其转化为二阶锥约束,建立基于二阶锥松弛的最优潮流模型;再综合考虑主动配电网环境中的主动管理元素等约束,在保证电压稳定性的前提下,以网络损耗与购电量最小为优化目标,建立高比例分布式电源接入下的多时段配电网重构模型;最后,采用YALMIP工具包和Gurobi求解器进行建模求解,并通过适配IEEE 33节点模型进行实证分析。算例结果表明:所提方案得到的系统期望网络损耗值从0.176 MW减小到0.097 MW,其网络损耗值比粒子群算法的降低了11.95%,其电压水平比粒子群算法的提高了0.76%。该模型的有效性得到了验证。

To effectively address the uncertainty and volatility brought by the large-scale integration of renewable energy into the grid and achieve optimal operation of the distribution network,a dynamic network reconfiguration optimization method considering the time-varying nature of distributed generation(DG)and load demand characteristics is proposed.Firstly,to tackle the non-convexity of the traditional static branch power flow model,slack variables are introduced to transform it into second-order cone constraints,establishing an optimal power flow model based on second-order cone relaxation.Then,considering the constraints of active management elements in the active distribution network environment,a multi-period distribution network reconfiguration model under high penetration of DG is constructed with the optimization objectives of minimizing network losses and electricity purchases while ensuring voltage stability.Finally,the Yalmip toolbox and Gurobi solver are employed for modeling and solving,and the IEEE33-node model is adapted for verification and analysis.The results of the case study demonstrate that the proposed scheme reduces the expected network loss value from 0.176 MW to 0.097 MW,a decrease of 44.89%,and improves the voltage level by 1.40%,thereby validating the effectiveness of the model.