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7 - Random Matrix Theory for Analyzing Spatio-Temporal Data
from Part II - Data-Driven Anomaly Detection
- By Robert Qiu, Xing He, Lei Chu, Xin Shi
Edited by Ali Tajer, Rensselaer Polytechnic Institute, New York, Samir M. Perlaza, H. Vincent Poor, Princeton University, New Jersey
Book:

Advanced Data Analytics for Power Systems

Published online:

22 March 2021

Print publication:

08 April 2021, pp 144-174
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Summary

This chapter introduces the fundamental elements of random matrix theory and highlights key applications in line outage detection using actual data recovered from existing power systems around the globe. The key mathematical component is a novel concept referred to as the mean spectral radius (MSR) of non-Hermitian random matrices. By analyzing the changes of the MSR of random matrices, grid failure detection is reliably achieved. Several studies and simulations are considered to observe the performance of this new theoretical approach to line outage detection.