Targeting in dissipative chaotic systems: A survey
The large number of unstable equilibrium modes embedded in the strange attractor of dissipative chaotic systems usually presents a sufficiently rich repertoire for the choice of the desirable motion a...
The large number of unstable equilibrium modes embedded in the strange attractor of dissipative chaotic systems usually presents a sufficiently rich repertoire for the choice of the desirable motion a...
Critical points and transitions in an electric power transmission model for cascading failure blackouts
Chaos 12, 985 (2002); doi:10.1063/1.1505810
Published 9 September 2002
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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.©2002 American Institute of Physics.
| History: | Received 1 March 2002; accepted 10 July 2002; published 9 September 2002 |
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http://link.aip.org/link/?CHAOEH/12/985/1 |
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BibSonomy
KEYWORDS and PACS
transmission network calculations,
power transmission faults,
power system analysis computing,
probability
- 84.70.+p
Electronics; radiowave and microwave technology; direct energy conversion and storage High-current and high-voltage technology: power systems; power transmission lines and cables (including superconducting cables) - 02.50.Cw
Mathematical methods in physics Probability theory, stochastic processes, and statistics Probability theory - YEAR: 2002
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PUBLICATION DATA
1054-1500 (print)
1089-7682 (online)
AIP
REFERENCES (23)
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- D. N. Ewart, IEEE Spectrum 36, 1 (1978).
- Information on electric systems disturbances in North America can be downloaded from the NERC website at http://www.nerc.com/dawg/database.html
- B. A. Carreras, D. E. Newman, I. Dobson, and A. B. Poole, "Initial evidence for self-organized criticality in electric power system blackouts," 33rd Hawaii International Conference on System Sciences, Maui, Hawaii, January 2000.
- B. A. Carreras, D. E. Newman, I. Dobson, and A. B. Poole, "Evidence for self-organized criticality in electric power system blackouts," 34th Hawaii International Conference on System Sciences, Maui, Hawaii, January 2001.
- J. Chen, J. S. Thorp, and M. Parashar, "Analysis of electric power disturbance data," 34th Hawaii International Conference on System Sciences, Maui, Hawaii, January 2001.
- R. Billington and R. N. Allan, Reliability Assessment of Large Electric Power Systems (Kluwer Academic, Boston, 1987).
- S. H. Strogatz,
Nature (London) 410, 268 (2001) . - R. Albert and A.-L. Barabási, Rev. Mod. Phys. 74, 47 (2002).
- I. Dobson, B. A. Carreras, V. 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.
- 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.
- 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," 35th Hawaii International Conference on System Sciences, Hawaii, January 2002.
- A. J. Wood and B. F. Wollenberg, Power Generation, Operation and Control (Wiley, New York, 1984).
- K. Nagel and M. Paczuski, Phys. Rev. E 51, 2909 (1995).
- The IEEE 118 bus network model is a standard test system; see http://www.ee.washington.edu/research/pstca/
- M. Biehl and A. Mietzner,
Europhys. Lett. 24, 421 (1993) . - B. Stott and E. Hobson,
IEEE Trans. Power Appar. Syst. PAS-97, 1713 (1978) . - B. Stott and E. Hobson,
IEEE Trans. Power Appar. Syst. PAS-97, 1721 (1978) . - B. Stott and J. L. Marinho,
IEEE Trans. Power Appar. Syst. PAS-98, 837 (1979) . - W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C (Cambridge University Press, Cambridge, 1988).
- J. J. Binney, N. J. Dowrick, A. J. Fisher, and M. E. J. Newman, The Theory of Critical Phenomena (Clarendon, Oxford, 1992).
- N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, New York, 1992).
- I. Dobson, J. Chen, J. S. Thorp, B. A. Carreras, and D. E. Newman, "Examining criticality of blackouts in power system models with cascading events," 35th Hawaii International Conference on System Sciences, Hawaii, Hawaii, January 2002.
- B. A. Carreras, D. E. Newman, I. Dobson, and A. B. Poole, "Evidence for self-organized criticality in a time series of electric power system blackouts," submitted to IEEE Trans. Power Appar. Syst.
