A Two-stage Robust Strategy for Voltage/Var Control in Active Distribution Networks Based on Cluster Partitioning

LI Xiaobo; XIE Jianfeng; ZHANG Shile; {{custom_author.name_en}}

doi:10.13334/j.0258-8013.pcsee.240629

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A Two-stage Robust Strategy for Voltage/Var Control in Active Distribution Networks Based on Cluster Partitioning

更新时间：2026-02-05

- A Two-stage Robust Strategy for Voltage/Var Control in Active Distribution Networks Based on Cluster Partitioning
- Vol. 45, Issue 18, Pages: 7058-7071(2025)
- 作者机构：
  
  中国矿业大学电气工程学院,江苏省,徐州市,221116
- 作者简介：
- 基金信息：
- DOI：10.13334/j.0258-8013.pcsee.240629
  CLC：
- Published：2025
- 稿件说明：
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LI Xiaobo, XIE Jianfeng, ZHANG Shile, et al. A Two-stage Robust Strategy for Voltage/Var Control in Active Distribution Networks Based on Cluster Partitioning[J]. 2025, 45(18): 7058-7071.
DOI：

LI Xiaobo, XIE Jianfeng, ZHANG Shile, et al. A Two-stage Robust Strategy for Voltage/Var Control in Active Distribution Networks Based on Cluster Partitioning[J]. 2025, 45(18): 7058-7071. DOI： 10.13334/j.0258-8013.pcsee.240629.

摘要

针对分布式电源和负荷的显著不确定性导致配电网电压越限频繁和集中优化调度困难的问题，该文考虑配电网可调无功资源配置情况，提出一种基于集群划分的配电网两阶段鲁棒电压无功控制策略。首先，计及节点可调无功容量构建综合电气距离模块度指标，设计保证节点间物理连通约束的遗传算法适应度函数，完成对配电网的集群划分；并以各集群电压偏差为指标制定配电网集群无功调压策略；然后，以配电网网损及主网购电成本为目标函数，构建随机加权鲁棒集，建立多时间尺度下二阶锥鲁棒集群无功调压模型，并基于强对偶理论和列与约束生成算法对模型进行转化和求解；最后，在IEEE 33节点配电网进行仿真。结果表明，所提集群无功调压策略能够有效消除节点电压越限，减少受控设备数量，提高求解效率。

Abstract

Aiming at the problems of frequent voltage violations in distribution networks and difficulties in centralized optimal dispatch due to the significant uncertainties of distributed power sources and loads

this paper proposes a two-stage robust voltage/var control (VVC) strategy for distribution networks based on cluster partitioning

taking into account the adjustable reactive power resource allocation in distribution networks. Firstly

the modularity index of integrated electrical distance is constructed by considering the adjustable reactive power regulation capacity of the nodes

and the genetic algorithm adaptability function is designed to ensure the physical connectivity constraints between the nodes. Thus the cluster partition of the distribution network is completed. Then

the distribution network cluster VVC strategy is formulated by using the voltage deviation of each cluster as an index. Furthermore

a stochastic robust weighted set is developed to establish a second-order cone robust optimization model for multi-timescale cluster VVC. The model

aiming at minimizing distribution network losses and power purchasing cost from the main grid

is subsequently transformed and solved based on the strong duality theory and the column-and-constraint generation algorithm. Finally

simulations on the IEEE 33-bus distribution network demonstrate that the proposed cluster VVC strategy effectively mitigates node voltage violations

reduces the number of controlled devices

and enhances solution efficiency.

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