基于多目标模块度的多层次电压控制分区方法

Abstract

提出了衡量无功源控制耦合程度的电气距离定义以及评价分区质量的多目标模块度指标,并提出了一种多层次电压控制分区方法。该方法由化简、分区与还原调整3个阶段组成。化简阶段通过降低聚类数据的维度处理高维聚类问题,并降低问题规模;分区阶段基于凝聚聚类和多目标模块度指标得到兼顾区域内可控性和区域间解耦性的最优分区方案;还原调整阶段调整区域边界节点进一步优化分区方案。同时,计算过程保证了分区内部的连通性。算例验证了该方法的正确性和可行性。结果表明该分区方法得到的分区方案质量较高,可用于大系统电压控制分区问题。

A definition of electrical distance for measuring the coupling degree of var source control and an index of multi-objective modularity for evaluating the partitioning quality are proposed, based on which, a tri-stage method of multi-level network partitioning is developed. In the coarsening stage, the dimensionality of clustering data is reduced to lower the problem scale;in the partitioning stage, an optimal scheme considering both intra-regional controllability and inter-regional decoupling performance is obtained by the agglomerative clustering based on the multi-objective modularity index;and in the refining stage, the boundary nodes are adjusted to further optimize the partitioning scheme. The connectivity among sub-regions is guaranteed in the calculation process. Case study shows that, the high-quality partitioning scheme proposed by the developed method is applicable to the network partitioning of large-scale system for voltage control, verifying its correctness and feasibility.