Summary
We analyze a 19-year time series of North American electric power transmission system blackouts. Contrary to previously reported results we find a fatter than exponential decay in the distribution of inter-occurrence times and evidence of seasonal dependence in the number of events. Our findings question the use of self-organized criticality, and in particular the sandpile model, as a paradigm of blackout dynamics in power transmission systems. Hopefully, though, they will provide guidelines to more accurate models for evaluation of blackout risk.
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References
Albert, R., Albert, I., Nakarado, G.L. (2004) Structural vulnerability of the North American power grid. Phys. Rev. E 69, 025103(R).
Bak, P., Tang, C, Wiesenfeld, K. (1987) Self-organized criticality: an explanation of 1/f noise. Phys. Rev. Lett. 59, 381–384.
Billinton, R., Allan, R.N. (1996) Reliability evaluation of power systems, 2nd ed. Plenum Press, New York.
Boffetta, G., Carbone, V., Guliani, P., Veltri, P., Vulpiani, A. (1999) Power laws in solar flares: Self-organized criticality or turbulence? Phys. Rev. Lett. 83, 4662–4665.
Carreras, B.A., Newman, D.E., Dobson, I., Poole, A.B. (2004) Evidence for self-organized criticality in a time series of electric power system blackouts. IEEE Trans. Circuits and Systems 51(9), 1733–1740.
Carrier, P., et al. (2000) Findings from the summer of 1999. Interim Report of the U.S. Department of Energy’s Power Outage Study Team.
Chen, J., Thorp, J.S., Parashar, M. (2001) Analysis of electric power system disturbance data. In: Proc. 34th Hawaii Int. Conf. on System Sciences, Maui.
Dobson, L, Carreras, B.A., Lynch, V., Newman, D.E. (2004) Complex systems analysis of series of blackouts: Cascading failure, criticality, and self-organization. Proc. Bulk Power System Dynamics & Control-VI, Cortina d’Ampezzo.
Scalas, E., Gorenflo, R., Luckock, H., Mainardi, F., Mantelli, M., Raberto, M. (2005) Anomalous waiting times in high-frequency financial data. Quantitative Finance, in print. See also: arXiv:cond-mat/0310305.
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© 2006 Springer-Verlag Tokyo
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Weron, R., Simonsen, I. (2006). Blackouts, risk, and fat-tailed distributions. In: Takayasu, H. (eds) Practical Fruits of Econophysics. Springer, Tokyo. https://doi.org/10.1007/4-431-28915-1_39
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DOI: https://doi.org/10.1007/4-431-28915-1_39
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-28914-2
Online ISBN: 978-4-431-28915-9
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