Complex systems analysis of series of blackouts: Cascading failure, critical points, and self-organization

Chaos

Volumn 17, Issue 2, 2007, Pages

  Dobson, Ian ^a   Carreras, Benjamin A ^b   Lynch, Vickie E ^c   Newman, David E ^d  

^a University of Wisconsin Madison   (United States)

^b BACV Solutions Inc   (United States)

^c OAK RIDGE NATIONAL LABORATORY   (United States)

^d UNIVERSITY OF ALASKA FAIRBANKS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34547239425     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2737822     Document Type: Article

References (60)

1. NERC (North American Electric Reliability Council), " 1996 system disturbances., " available from NERC, Princeton Forrestal Village, 116-390 Village Boulevard, Princeton, NJ, 2002.
2. D. N. Kosterev, C. W. Taylor, and W. A. Mittelstadt, " Model validation for the August 10, 1996 WSCC system outage., " IEEE Trans. Power Syst. 14, 967-979 (1999).
3. V. Venkatasubramanian and Y. Li, " Analysis of 1996 Western American Electric Blackouts., " Bulk Power System Dynamics and Control-VI, Cortina d'Ampezzo, Italy,, August 2004.
4. U.S.-Canada Power System Outage Task Force, " Final report on the August 14th blackout in the United States and Canada., " United States Department of Energy and National Resources Canada, April 2004.
5. I. Dobson, B. A. Carreras, V. Lynch, and D. E. Newman, " Complex systems analysis of series of blackouts: cascading failure, criticality, and self-organization., " Bulk Power System Dynamics and Control-VI, Cortina d'Ampezzo, Italy,, August 2004, pp. 438-451.
6. B. A. Carreras, D. E. Newman, I. Dobson, and A. B. Poole, " Evidence for self-organized criticality in electric power system blackouts., " IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 51, 1733-1740 (2004).
7. B. A. Carreras, V. E. Lynch, I. Dobson, and D. E. Newman, " Critical points and transitions in an electric power transmission model for cascading failure blackouts., " Chaos 12, 985-994 (2002).
8. B. A. Carreras, V. E. Lynch, I. Dobson, and D. E. Newman, " Complex dynamics of blackouts in power transmission systems., " Chaos 14, 643-652 (2004).
9. J. Chen, J. S. Thorp, and I. Dobson, " Cascading dynamics and mitigation assessment in power system disturbances via a hidden failure model., " Int. J. Electr. Power Energy Syst. 27, 318-326 (2005).
10. D. P. Nedic, I. Dobson, D. S. Kirschen, B. A. Carreras, and V. E. Lynch, " Criticality in a cascading failure blackout model., " Int. J. Electr. Power Energy Syst. 28, 627-633 (2006).
11. I. Dobson, B. A. Carreras, and D. E. Newman, " A loading-dependent model of probabilistic cascading failure., " Probability in the Engineering and Informational Sciences 19, 15-32 (2005).
12. I. Dobson, B. A. Carreras, and D. E. Newman, " A branching process approximation to cascading load-dependent system failure., " 37th Hawaii International Conference on System Sciences, Hawaii,, January 2004.
13. B. A. Carreras, V. E. Lynch, D. E. Newman, and I. Dobson, " Blackout mitigation assessment in power transmission systems., " 36th Hawaii International Conference on System Sciences, Hawaii,, January 2003.
14. R. Billington and R. N. Allan, Reliability Evaluation of Power Systems, 2nd ed. (Plenum, New York, 1996).
15. Information on Blackouts in North America, Disturbance Analysis Working Group (DAWG) Database, North American Electric Reliability Council (NERC), Princeton, NJ. Available online at http://www.nerc.com/~dawg/database.html
16. B. A. Carreras, D. E. Newman, I. Dobson, and A. B. Poole, " Initial evidence for self-organized criticality in electric power blackouts., " 33rd Hawaii International Conference on System Sciences, Maui, Hawaii,, January 2000.
17. B. A. Carreras, D. E. Newman, I. Dobson, and A. B. Poole, " Evidence for self-organized criticality in electric power system blackouts., " Thirty-fourth Hawaii International Conference on System Sciences, Maui, Hawaii,, January 2001.
18. J. Chen, J. S. Thorp, and M. Parashar, " Analysis of electric power system disturbance data., " Thirty-fourth Hawaii International Conference on System Sciences, Maui, Hawaii,, January 2001.
19. R. Weron and I. Simonsen, " Blackouts, risk, and fat-tailed distributions., " in Practical Fruits of Econophysics, edited by, H. Takayasu, (Springer, Tokyo, 2005).
20. Å. J. Holmgren and S. Molin, " Using disturbance data to assess vulnerability of electric power delivery systems., " J. Infrastruct. Syst. 12, 243-251 (2006).
21. J.. H. Bakke, A. Hansen, and J. Kert́sz, " Failures and avalanches in complex networks., " Europhys. Lett., 76, 717-723 (2006).
22. G. Ancell, C. Edwards, and V. Krichtal, " Is a large scale blackout of the New Zealand power system inevitable? " Electricity Engineers Association 2005 Conference: Implementing New Zealand's Energy Options, Aukland, New Zealand,, June 2005.
23. X. Weng, Y. Hong, A. Xue, and S. Mei, " Failure analysis on China power grid based on power law., " Journal of Control Theory and Applications 4, 235-238 (2006).
24. Q. Chen, C. Jiang, W. Qiu, and J. D. McCalley, " Probability models for estimating the probabilities of cascading outages in high-voltage transmission network., " IEEE Trans. Power Syst. 21, 1423-1431 (2006).
25. P. C. Consul, " A simple urn model dependent upon predetermined strategy., " Sankhya, Ser. B 36, 391-399 (1974).
26. P. C. Consul, Generalized Poisson Distributions (Marcel Dekker, New York, 1989).
27. T. E. Harris, Theory of Branching Processes (Dover, New York, 1989).
28. K. B. Athreya and P. E. Ney, Branching Processes (Dover, New York, 2004; reprint of Springer-Verlag, Berlin, 1972).
29. I. Dobson, B. A. Carreras, V. E. Lynch, B. Nkei, and D. E. Newman, " Estimating failure propagation in models of cascading blackouts., " Probability in the Engineering and Informational Sciences 19, 475-488 (2005).
30. B. A. Carreras, V. E. Lynch, I. Dobson, and D. E. Newman, " Dynamical and probabilistic approaches to the study of blackout vulnerability of the power transmission grid., " 37th Hawaii International Conference on System Sciences, Hawaii,, January 2004.
31. I. Dobson, B. A. Carreras, and D. E. Newman, " Branching process models for the exponentially increasing portions of cascading failure blackouts., " 38th Hawaii International Conference on System Sciences, Hawaii,, January 2005.
32. K. R. Wierzbicki and I. Dobson, " An approach to statistical estimation of cascading failure propagation in blackouts., " CRIS: Third International Conference on Critical Infrastructures, Alexandria VA,, September 2006.
33. D. E. Newman, B. Nkei, B. A. Carreras, I. Dobson, V. E. Lynch, and P. Gradney, " Risk assessment in complex interacting infrastructure systems., " 38th Hawaii International Conference on System Sciences, Hawaii,, January 2005.
34. H. Liao, J. Apt, and S. Talukdar, " Phase transitions in the probability of cascading failures., " Electricity Transmission in Deregulated Markets: Conference at Carnegie Mellon University, Pittsburgh, PA,, December 2004.
35. M. Anghel, K. A. Werley, and A. E. Motter, " Stochastic model for power grid dynamics., " 40th Hawaii International Conference on System Sciences, Hawaii,, January 2007.
36. M. A. Rios, D. S. Kirschen, D. Jawayeera, D. P. Nedic, and R. N. Allan, " Value of security: modeling time-dependent phenomena and weather conditions., " IEEE Trans. Power Syst. 17, 543-548 (2002).
37. D. S. Kirschen, D. Jawayeera, D. P. Nedic, and R. N. Allan, " A probabilistic indicator of system stress., " IEEE Trans. Power Syst. 19, 1650-1657 (2004).
38. M. Ni, J. D. McCalley, V. Vittal, and T. Tayyib, " Online risk-based security assessment., " IEEE Trans. Power Syst. 18, 258-265 (2003).
39. M. Zima and G. Andersson, " Wide area monitoring and control as a tool for mitigation of cascading failures., " Eighth International Conference on Probability Methods Applied to Power Systems, Ames, Iowa,, September 2004.
40. R. C. Hardiman, M. T. Kumbale, and Y. V. Makarov, " An advanced tool for analyzing multiple cascading failures., " Eighth International Conference on Probability Methods Applied to Power Systems, Ames, Iowa,, September 2004.
41. S. Roy, C. Asavathiratham, B. C. Lesieutre, and G. C. Verghese, " Network models: growth, dynamics, and failure., " 34th Hawaii International Conference on System Sciences, Maui, Hawaii,, January 2001.
42. D. L. Pepyne, C. G. Panayiotou, C. G. Cassandras, and Y.-C. Ho, " Vulnerability assessment and allocation of protection resources in power systems., " Proceedings of the American Control Conference, Arlington, VA,, June 25-27, 2001, Vol. 6, pp. 4705-4710.
43. C. L. DeMarco, " A phase transition model for cascading network failure., " IEEE Control Syst. Mag. 21, 40-51 (2001).
44. P. A. Parrilo, S. Lall, F. Paganini, G. C. Verghese, B. C. Lesieutre, and J. E. Marsden, " Model reduction for analysis of cascading failures in power systems., " Proceedings of the American Control Conference, San Diego, CA,, June 2-4, 1999, Vol. 6, pp. 4208-4212.
45. D. V. Lindley and N. D. Singpurwalla, " On exchangeable, causal and cascading failures., " Stat. Sci. 17, 209-219 (2002).
46. M. D. Stubna and J. Fowler, " An application of the highly optimized tolerance model to electrical blackouts., " Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, 237-242 (2003).
47. J. M. Carlson and J. Doyle, " Highly optimized tolerance: a mechanism for power laws in designed systems., " Phys. Rev. E 60, 1412-1427 (1999).
48. M. E. J. Newman, " The structure and function of complex networks., " SIAM Rev. 45, 167-256 (2003).
49. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwanga, " Complex networks: structure and dynamics., " Phys. Rep. 424, 175-308 (2006).
50. D. J. Watts, " A simple model of global cascades on random networks., " Proc. Natl. Acad. Sci. U.S.A. 99, 5766-5771 (2002).
51. A. E. Motter and Y.-C. Lai, " Cascade-based attacks on complex networks., " Phys. Rev. E 66, 065102 (2002).
52. P. Crucitti, V. Latora, and M. Marchiori, " Model for cascading failures in complex networks., " Phys. Rev. E 69, 045104 (R) (2004).
53. B. C. Lesieutre, S. Roy, V. Donde, and A. Pinar, " Power system extreme event screening using graph partitioning., " 38th North American Power Symposium, Southern Illinois University, Carbondale, IL,, September 2006.
54. P. Bak, C. Tang, and K. Wiesenfeld, " Self-organized criticality: an explanation of 1/f noise., " Phys. Rev. Lett. 59, 381-384 (1987).
55. P. Bak, How Nature Works: The Science of Self-Organized Criticality (Copernicus, New York, 1996).
56. H. J. Jensen, Self-Organized Criticality (Cambridge University Press, New York, 1998).
57. I. Dobson, B. A. Carreras, V. E. Lynch, and D. E. Newman, " An initial model for complex dynamics in electric power system blackouts., " 34th Hawaii International Conference on System Sciences, Maui, Hawaii,, January 2001.
58. B. A. Carreras, V. E. Lynch, M. L. Sachtjen, I. Dobson, and D. E. Newman, " Modeling blackout dynamics in power transmission networks with simple structure., " 34th Hawaii International Conference on System Sciences, Maui, Hawaii,, January 2001.
59. B. A. Carreras, V. E. Lynch, I. Dobson, and D. E. Newman, " Dynamics, criticality and self-organization in a model for blackouts in power transmission systems., " Thirty-fifth Hawaii International Conference on System Sciences, Hawaii,, January 2002.
60. D. E. Newman, B. A. Carreras, V. E. Lynch, and I. Dobson, " The impact of various upgrade strategies on the long-term dynamics and robustness of the transmission grid., " Electricity Transmission in Deregulated Markets: Challenges, Opportunities and Necessary R&D Agenda, Carnegie-Mellon University, Pittsburgh, PA,, December 2004.