Where is the edge for cascading failure?: challenges and opportunities for quantifying blackout risk

In this paper, we review some emerging approaches to the challenging problem of cascading blackout risk. International data suggests an increased (but still rare) frequency of large blackouts that makes the risk of large blackouts substantial. We argue that the problem of avoiding blackouts should be posed as jointly mitigating the risk of blackouts of all sizes. There is evidence of a change in cascading blackout risk at a critical loading or stress that provides a reference point for power system design and operation with respect to cascading failure. There are a range of power system simulations and high-level models of cascading failure that could be used to develop risk analysis methods appropriate to cascading failure. One of the high-level models is a branching process that models cascading failure probabilistically as initial failures followed by propagation of these failures. The amount of propagation lambda can be quantified from data and is under investigation as a metric for cascading failure that can help predict overall blackout risk.

[1]  Roy Billinton,et al.  Reliability evaluation of power systems , 1984 .

[2]  D.S. Kirschen,et al.  A probabilistic indicator of system stress , 2004, IEEE Transactions on Power Systems.

[3]  Ian Dobson,et al.  Blackout mitigation assessment in power transmission systems , 2003, 36th Annual Hawaii International Conference on System Sciences, 2003. Proceedings of the.

[4]  Adilson E. Motter,et al.  Stochastic Model for Power Grid Dynamics , 2006, 2007 40th Annual Hawaii International Conference on System Sciences (HICSS'07).

[5]  Ian Dobson,et al.  Modeling blackout dynamics in power transmission networks with simple structure , 2001, Proceedings of the 34th Annual Hawaii International Conference on System Sciences.

[6]  R.C. Hardiman,et al.  An advanced tool for analyzing multiple cascading failures , 2005, 2004 International Conference on Probabilistic Methods Applied to Power Systems.

[7]  Ian Dobson,et al.  Cascading dynamics and mitigation assessment in power system disturbances via a hidden failure model , 2005 .

[8]  J.D. McCalley,et al.  Identifying high risk N-k contingencies for online security assessment , 2005, IEEE Transactions on Power Systems.

[9]  Ia An N Do A LOADING-DEPENDENT MODEL OF PROBABILISTIC CASCADING FAILURE , 2005 .

[10]  V. E. Lynch,et al.  Critical points and transitions in an electric power transmission model for cascading failure blackouts. , 2002, Chaos.

[11]  Ian Dobson,et al.  Evidence for self-organized criticality in a time series of electric power system blackouts , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[12]  M. G. Lauby,et al.  An IEEE survey of US and Canadian overhead transmission outages at 230 kV and above , 1994 .

[13]  T. E. Harris,et al.  The Theory of Branching Processes. , 1963 .

[14]  D. Kirschen,et al.  Why Investments Do Not Prevent Blackouts , 2004 .

[15]  Ian Dobson,et al.  Examining criticality of blackouts in power system models with cascading events , 2002, Proceedings of the 35th Annual Hawaii International Conference on System Sciences.

[16]  Shengwei Mei,et al.  Failure analysis on China power grid based on power law , 2006 .

[17]  K. Athreya,et al.  Multi-Type Branching Processes , 1972 .

[18]  N.D. Reppen,et al.  Increasing utilization of the transmission grid requires new reliability criteria and comprehensive reliability assessment , 2005, 2004 International Conference on Probabilistic Methods Applied to Power Systems.

[19]  Ian Dobson,et al.  Dynamics, criticality and self-organization in a model for blackouts in power transmission systems , 2002, Proceedings of the 35th Annual Hawaii International Conference on System Sciences.

[20]  T. E. Harris,et al.  The Theory of Branching Processes. , 1963 .

[21]  Ian Dobson,et al.  An Estimator of Propagation of Cascading Failure , 2006, Proceedings of the 39th Annual Hawaii International Conference on System Sciences (HICSS'06).

[22]  Peter Guttorp,et al.  Statistical inference for branching processes , 1991 .

[23]  Åke J. Holmgren,et al.  Using Disturbance Data to Assess Vulnerability of Electric Power Delivery Systems , 2006 .

[24]  Daniel S. Kirschen,et al.  Criticality in a cascading failure blackout model , 2006 .

[25]  I. Dobson,et al.  Estimating failure propagation in models of cascading blackouts , 2005, 2004 International Conference on Probabilistic Methods Applied to Power Systems.

[26]  Ian Dobson,et al.  Branching Process Models for the Exponentially Increasing Portions of Cascading Failure Blackouts , 2005, Proceedings of the 38th Annual Hawaii International Conference on System Sciences.

[27]  Rafal Weron,et al.  Blackouts, risk, and fat-tailed distributions , 2005 .

[28]  Jay Apt,et al.  Phase Transitions in the Probability of Cascading Failures , 2004 .

[29]  B A Carreras,et al.  Complex dynamics of blackouts in power transmission systems. , 2004, Chaos.

[30]  Chuanwen Jiang,et al.  Probability models for estimating the probabilities of cascading outages in high-voltage transmission network , 2006, IEEE Transactions on Power Systems.

[31]  James S. Thorp,et al.  Analysis of electric power system disturbance data , 2001, Proceedings of the 34th Annual Hawaii International Conference on System Sciences.

[32]  A. Carter Blackouts , 1950, Journal of the Royal Army Medical Corps.

[33]  I. Dobson,et al.  A LOADING-DEPENDENT MODEL OF PROBABILISTIC CASCADING FAILURE , 2005, Probability in the Engineering and Informational Sciences.

[34]  J. Kert'esz,et al.  Failures and avalanches in complex networks , 2006, cond-mat/0605461.

[35]  Ian Dobson,et al.  Dynamical and probabilistic approaches to the study of blackout vulnerability of the power transmission grid , 2004, 37th Annual Hawaii International Conference on System Sciences, 2004. Proceedings of the.

[36]  Ian Dobson,et al.  An approach to statistical estimation of cascading failure propagation in blackouts , 2006 .

[37]  Ian Dobson,et al.  A branching process approximation to cascading load-dependent system failure , 2004, 37th Annual Hawaii International Conference on System Sciences, 2004. Proceedings of the.