Community consistency determines the stability transition window ofower-grid nodes

Abstract

The synchrony of electricower systems is important in order to maintain a stable electricity supply. Recently, the measure basin stability was introduced to quantify a node's ability to recover its synchronization whenerturbed. In this work, we focus on how basin stability depends on the coupling strength between nodes. We use the Chileanower grid as a case study. In general, basin stability goes from zero to one as coupling strength increases. However, this transition does not happen at the same value for different nodes. By understanding the transition for individual nodes, we can further characterize their role in theower-transmission dynamics. We find that nodes with an exceptionally large transition window also have a low community consistency. In other words, they are hard to classify to one community when applying a community detection algorithm. This also gives an efficient way to identify nodes with a long transition window (which is computationally time consuming). Finally, to corroborate these results, weresent a stylized example network withrescribed community structures that captures the mentioned characteristics of the basin stability transition and recreates our observations.