GSP and Statistical Analysis of Single Line Failure Impact and Spread in Power Systems

Power systems are typically designed with resilience against individual failures, yet the preparedness for ensuring reliability in the face of multiple failures and cascading failures necessitates a comprehensive understanding of the consequences of a single line failure on the system and its components. Various power physics-based techniques, including the line outage distribution factor, and simulation-based approaches have been employed to model and characterize the impact and spread of a single line failure on power systems. In the evolving landscape of power system analysis, the integration of Graph Signal Processing (GSP) techniques introduces a novel perspective in such analyses. This study focuses on characterizing the effects of a single-line failure on power systems through multiple statistical and GSP-based measures. By extracting relevant features from the data using these measures, this study aims to quantify the impact and spread of failures on graph signal values. It also examines how the most impactful and spreadable failures contribute to cascading failures. The insights gained from this study offer a deeper understanding of failure impact and spread, which are crucial for analyzing more complex scenarios, such as cascading failures.