Deepening the Understanding of Interdependence Between Higher-Order Motifs and Resilience in Power Grid Through Line Graph

This letter proposes a motif regulation framework based on line graph modeling and selective edge intervention to address two critical challenges in power system resilience analysis. First, the framework maps traditional node-edge topologies to line graphs, eliminating subgraph nesting issues and ensuring independent motif analysis. Second, it introduces a target motif removal strategy, enabling control over specific motif types.Tests on a 2383-bus system confirm that symmetric higher-order motifs most critically affect resilience, demonstrating that structural symmetry rather than prevalence dictates significance.