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Critical points and transitions in an electric power transmission model for cascading failure blackouts
Open accessAbstract
Cascading failures in large-scale electric power transmission systems are an important cause of blackouts. Analysis of North American blackout data has revealed power law (algebraic) tails in the blackout size probability distribution which suggests a dynamical origin. With this observation as motivation, we examine cascading failure in a simplified transmission system model as load power demand is increased. The model represents generators, loads, the transmission line network, and the operating limits on these components. Two types of critical points are identified and are characterized by transmission line flow limits and generator capability limits, respectively. Results are obtained for tree networks of a regular form and a more realistic 118-node network. It is found that operation near critical points can produce power law tails in the blackout size probability distribution similar to those observed. The complex nature of the solution space due to the interaction of the two critical points is examined.
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Cites
The Theory of Critical Phenomena: An Introduction to the Renormalization Group
Binney, J. J., Dowrick, N. J., Fisher, A. J., & Newman, M. E. J. (1992) · doi:10.1093/oso/9780198513940.001.0001 · Cited by 1,243
Cited by
Complex networks: structure and dynamics
BOCCALETTI, S., LATORA, V, MORENO, Y., CHAVEZ, M., & HWANG, D. (2006) · Physics Reports · doi:10.1016/j.physrep.2005.10.009 · Cited by 11,010
Cascade Control and Defense in Complex Networks
Motter, A. E. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.098701 · Cited by 776
Evidence for Self-Organized Criticality in a Time Series of Electric Power System Blackouts
Carreras, B. A., Newman, D. E., Dobson, I., & Poole, A. B. (2004) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2004.834513 · Cited by 373
Self-citation“System-of-systems” approach for interdependent critical infrastructures
Eusgeld, I., Nan, C., & Dietz, S. (2011) · Reliability Engineering & System Safety · doi:10.1016/j.ress.2010.12.010 · Cited by 339
A Critical Review of Robustness in Power Grids Using Complex Networks Concepts
Cuadra, L., Salcedo-Sanz, S., Del Ser, J., Jiménez-Fernández, S., & Geem, Z. (2015) · Energies · doi:10.3390/en8099211 · Cited by 277
Metadata
- Authors
- Carreras, B. A., Lynch, V. E., Dobson, I., & Newman, D. E.
- Venue
- Chaos: An Interdisciplinary Journal of Nonlinear Science
- Publisher
- AIP Publishing
- Published
- 2002-12-01
- Volume
- 12
- Issue
- 4
- Pages
- 985-994
- ISSN
- 1054-1500 (ISSN-L)
- 1089-7682
- OpenAlex
- W2147040528
- Cited by
- 542
- References
- 1
- FWCI
- 5.22
- Type
- journal article
- Language
- en
- Open access
- green
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- Carreras, B. A., Lynch, V. E., Dobson, I., & Newman, D. E. (2002). Critical points and transitions in an electric power transmission model for cascading failure blackouts. Chaos: An Interdisciplinary Journal of Nonlinear Science. https://doi.org/10.1063/1.1505810
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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