Using Disturbance Data to Assess Vulnerability of Electric Power Delivery Systems
Publication: Journal of Infrastructure Systems
Volume 12, Issue 4
Abstract
In this paper we discuss how to assess the vulnerability of electric power delivery systems with the help of standard power system performance indices. In two case studies, statistical analyses of disturbance data from Swedish power transmission and distribution are presented and discussed. The following indicators are used in the case studies: unserved energy, power loss, restoration time, and the number of disturbances with power loss. We demonstrate that disturbance size for larger values of indices shows a power-law distribution, i.e., , and that the times of disturbances are distributed as a Poisson process.
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Acknowledgments
Financial support from the Swedish Emergency Management Agency (SEMA), Contract No. 0054/2002, is gratefully acknowledged. The writers would like to thank the following people for their valuable discussions and comments on the manuscript: Torbjörn Thedéen, Lars-Göran Mattsson, Stefan Arnborg, Fredrik Berefelt, Per Näsman, and Henrik Christiansson. Thomas Thor (SvK) and Nils Wikström (Fortum) were very supportive in providing us with essential outage data. Finally, the writers acknowledge the valuable remarks by the reviewers.
References
Bak, P., Tang, C., and Weisenfeld, K. (1987). “Self-organized criticality: An explanation of 1/f noise.” Phys. Rev. Lett., 59(4), 381–384.
Billinton, R., and Allan, R. (1996). Reliability evaluation of power systems, Plenum, New York.
Brockwell, P., and Davis, R. (2002). Introduction to time series and forecasting, 2nd Ed., Springer, New York.
Burke, J. (2000). “Using outage data to improve reliability.” IEEE Comput. Appl. Power, 13(2), 57–60.
Carlson, J. M., and Doyle, J. (1999). “Highly optimized tolerance: A mechanism for power laws in designed systems.” Phys. Rev. E, 60(2), 1412–1427.
Carreras, B. A., Newman, D. E., Dobson, I., and Poole, A. B. (2000). “Initial evidence for self-organized criticality in electric power system blackouts.” Proc., 33rd Hawaii Int. Conf. on System Sciences, IEEE, Maui, Hawaii.
Carreras, B. A., Newman, D. E., Dobson, I., and Poole, A. B. (2004). “Evidence for self-organized criticality in a time series of electric power system blackouts.” IEEE Trans. Circuits Syst., I: Fundam. Theory Appl., 51(9), 1733–1740.
Chen, J., Thorp, J. S., and Parashar, M. (2001). “Analysis of electric power system disturbance data.” Proc., 34th Hawaii Int. Conf. on System Sciences, IEEE, Maui, Hawaii.
Chen, J., Thorp, J. S., and Dobson, I. (2005). “Cascading dynamics and mitigation assessment in power system disturbances via a hidden failure model.” Int. J. Electr. Power Energy Syst., 27(4), 318–326.
Cox, D. R., and Isham, V. (1980). Point processes, Chapman & Hall, New York.
Efron, B., and Tibshirani, R. J. (1993). An introduction to the bootstrap, Chapman & Hall, New York.
Holmgren, Å. (2005). “Risk analysis of infrastructure systems: Different approaches for risk analysis of electric power systems.” Technical Rep., Center for Risk and Economic Analysis of Terrorism Events and The Institute for Civil Infrastructure Systems at New York Univ., New York.
Holmgren, Å., and Molin, S. (2003). “A statistical analysis of disturbance data from power transmission and distribution grids in Sweden.” Base Data Rep. FOI-R–1090—SE, The Swedish Defence Research Agency, Stockholm, Sweden.
Hoyland, A., and Rausand, M. (1994). System reliability theory: Models and statistical methods, Wiley, New York.
Johnson, R. A. (2000). Miller and Freund’s probability and statistics for engineers, 6th Ed., Prentice-Hall, Upper Saddle River, N.J.
Knight, U. G. (2001). Power systems in emergencies: From contingency planning to crisis management, Wiley, Chichester, U.K.
Øien, K. (2001). “Risk indicators as a tool for risk control.” Reliab. Eng. Syst. Saf., 74(2), 129–145.
Olver, F. W. J. (1997). Asymptotics and special functions, AK Peters, Wellesley, Mass.
Stubna, M. D., and Fowler, J. (2003). “An application of the highly optimized tolerance model to electrical blackouts.” Int. J. Bifurcation Chaos Appl. Sci. Eng., 13(1), 237–242.
The Association for Swedish Power Distributors (SvEL). (1999). “Fault and disturbance data from Swedish power distribution grids, 1995–1997.” SvEL, Stockholm, Sweden.
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© 2006 ASCE.
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Received: Feb 6, 2003
Accepted: Oct 12, 2005
Published online: Dec 1, 2006
Published in print: Dec 2006
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