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Title: Vulnerability and cosusceptibility determine the size of network cascades

Journal Article · · Physical Review Letters

In a network, a local disturbance can propagate and eventually cause a substantial part of the system to fail in cascade events that are easy to conceptualize but extraordinarily difficult to predict. Furthermore, we develop a statistical framework that can predict cascade size distributions by incorporating two ingredients only: the vulnerability of individual components and the cosusceptibility of groups of components (i.e., their tendency to fail together). Using cascades in power grids as a representative example, we show that correlations between component failures define structured and often surprisingly large groups of cosusceptible components. Aside from their implications for blackout studies, these results provide insights and a new modeling framework for understanding cascades in financial systems, food webs, and complex networks in general.

Research Organization:
Northwestern Univ., Evanston, IL (United States)
Sponsoring Organization:
USDOE Advanced Research Projects Agency - Energy (ARPA-E)
Grant/Contract Number:
AR0000702
OSTI ID:
1369629
Alternate ID(s):
OSTI ID: 1341322
Journal Information:
Physical Review Letters, Vol. 118, Issue 4; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 37 works
Citation information provided by
Web of Science

References (21)

Modeling cascading failures in the North American power grid journal July 2005
Estimating the Propagation and Extent of Cascading Line Outages From Utility Data With a Branching Process journal November 2012
Coupled catastrophes: sudden shifts cascade and hop among interdependent systems journal November 2015
Catastrophic cascade of failures in interdependent networks journal April 2010
Cascade Control and Defense in Complex Networks journal August 2004
Random matrix approach to cross correlations in financial data journal June 2002
Systemic delay propagation in the US airport network journal January 2013
Large blackouts in North America: Historical trends and policy implications journal December 2009
Obtaining Statistics of Cascading Line Outages Spreading in an Electric Transmission Network From Standard Utility Data journal November 2016
Community Detection for Correlation Matrices journal April 2015
The Kolmogorov-Smirnov Test for Goodness of Fit journal March 1951
Nonlocal effects and countermeasures in cascading failures journal September 2015
A Method for Generating High-Dimensional Multivariate Binary Variates journal November 1991
Self-organized criticality: An explanation of the 1/ f noise journal July 1987
Trophic Downgrading of Planet Earth journal July 2011
Rescuing ecosystems from extinction cascades through compensatory perturbations journal January 2011
A Two-Level Probabilistic Risk Assessment of Cascading Outages journal May 2016
A simple model of global cascades on random networks journal April 2002
Complex systems analysis of series of blackouts: Cascading failure, critical points, and self-organization
  • Dobson, Ian; Carreras, Benjamin A.; Lynch, Vickie E.
  • Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 17, Issue 2, Article No. 026103 https://doi.org/10.1063/1.2737822
journal June 2007
Generating Spike Trains with Specified Correlation Coefficients journal February 2009
Sandpile on Scale-Free Networks journal October 2003

Cited By (7)

Don’t go chasing artificial waterfalls: Artificial line limits and cascading failures in power grids journal November 2019
General methodology for inferring failure-spreading dynamics in networks journal August 2018
Quantification of the resilience of primary care networks by stress testing the health care system journal November 2019
Dynamic behavior analysis of an internet flow interaction model under cascading failures journal August 2019
Small vulnerable sets determine large network cascades in power grids journal November 2017
Abnormal dynamics induced by congestion effect in cascading failures journal January 2019
Small vulnerable sets determine large network cascades in power grids text January 2018