Power network uniqueness and synchronization stability from a higher-order structure perspective

Triadic subgraph analysis reveals the structural features in power networks based on higher-order connectivity patterns. Power have a unique triad significance profile (TSP) of five unidirectional triadic subgraphs comparison with scale-free, small-world and random networks. Notably, closure has highest Thus, TSP can serve as identifier to differentiate from other complex form network superfamily. Furthermore, synthetic growth model grow up be belonging superfamily fewer number transmission lines. The closures strongly correlates construction cost measured by redundancy. trade-off between synchronization stability leads characterized is consequence essentially. uniqueness tells an important fact that maintain high level at low cost.