Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Vulnerability and cosusceptibility determine the size of network cascades

Journal Article · · Physical Review Letters
 [1];  [2];  [2]
  1. Northwestern Univ., Evanston, IL (United States); Northwestern University
  2. Northwestern Univ., Evanston, IL (United States)

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, Journal Name: Physical Review Letters Journal Issue: 4 Vol. 118; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (21)

Large blackouts in North America: Historical trends and policy implications journal December 2009
Catastrophic cascade of failures in interdependent networks journal April 2010
Rescuing ecosystems from extinction cascades through compensatory perturbations journal January 2011
Systemic delay propagation in the US airport network journal January 2013
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
A simple model of global cascades on random networks journal April 2002
The Kolmogorov-Smirnov Test for Goodness of Fit journal March 1951
Coupled catastrophes: sudden shifts cascade and hop among interdependent systems journal November 2015
Random matrix approach to cross correlations in financial data journal June 2002
Nonlocal effects and countermeasures in cascading failures journal September 2015
Self-organized criticality: An explanation of the 1/ f noise journal July 1987
Sandpile on Scale-Free Networks journal October 2003
Cascade Control and Defense in Complex Networks journal August 2004
Community Detection for Correlation Matrices journal April 2015
Estimating the Propagation and Extent of Cascading Line Outages From Utility Data With a Branching Process journal November 2012
A Two-Level Probabilistic Risk Assessment of Cascading Outages journal May 2016
Obtaining Statistics of Cascading Line Outages Spreading in an Electric Transmission Network From Standard Utility Data journal November 2016
Trophic Downgrading of Planet Earth journal July 2011
Modeling cascading failures in the North American power grid journal July 2005
Generating Spike Trains with Specified Correlation Coefficients journal February 2009
A Method for Generating High-Dimensional Multivariate Binary Variates journal November 1991

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

Similar Records

Small vulnerable sets determine large network cascades in power grids
Journal Article · Wed Nov 15 23:00:00 EST 2017 · Science · OSTI ID:1436902

A Study of the Impact of Peak Demand on Increasing Vulnerability of Cascading Failures to Extreme Contingency Events
Conference · Mon Oct 02 00:00:00 EDT 2017 · OSTI ID:1426371

Related Subjects