Risk Assessment of Multi-Timescale Cascading Outages Based on Markovian Tree Search

In the risk assessment of cascading outages, the rationality of simulation and efficiency of computation are both of great significance. To overcome the drawback of sampling-based methods that huge computation resources are required and the shortcoming of initial contingency selection practices that the dependencies in sequences of outages are omitted, this paper proposes a novel risk assessment approach by searching on Markovian Tree. The Markovian tree model is reformulated from the quasi-dynamic multitimescale simulation model proposed recently to ensure reasonable modeling and simulation of cascading outages. Then, a tree search scheme is established to avoid duplicated simulations on same cascade paths, significantly saving the computation time. To accelerate the convergence of a risk assessment, a risk estimation index is proposed to guide the search for states with major contributions to the risk, and the risk assessment is realized based on the risk estimation index with a forward tree search and backward update algorithm. The effectiveness of the proposed method is illustrated on a four-node power system, and its convergence profile as well as efficiency is demonstrated on the RTS-96 test system.

[1]  Pedro Linares,et al.  The costs of electricity interruptions in Spain. Are we sending the right signals , 2013 .

[2]  F. Gubina,et al.  Local voltage-stability index using tellegen's Theorem , 2007, IEEE Transactions on Power Systems.

[3]  B. Fardanesh,et al.  Assessing vulnerability to cascading outages , 2009, 2009 IEEE/PES Power Systems Conference and Exposition.

[4]  John F. Shortle Efficient simulation of blackout probabilities using splitting , 2013 .

[5]  Nigel G. Bean,et al.  Markovian trees: properties and algorithms , 2008, Ann. Oper. Res..

[6]  Margaret J. Eppstein,et al.  Estimating Cascading Failure Risk With Random Chemistry , 2015, IEEE Transactions on Power Systems.

[7]  I. Dobson,et al.  Risk Assessment of Cascading Outages: Methodologies and Challenges , 2012, IEEE Transactions on Power Systems.

[8]  Pierre-Etienne Labeau,et al.  A Two-Level Probabilistic Risk Assessment of Cascading Outages , 2016, IEEE Transactions on Power Systems.

[9]  Mohammad Shahidehpour,et al.  The IEEE Reliability Test System-1996. A report prepared by the Reliability Test System Task Force of the Application of Probability Methods Subcommittee , 1999 .

[10]  Jun Yan,et al.  Cascading Failure Analysis With DC Power Flow Model and Transient Stability Analysis , 2015, IEEE Transactions on Power Systems.

[11]  Dorian Mazauric,et al.  Analysis of Failures in Power Grids , 2017, IEEE Transactions on Control of Network Systems.

[12]  P. Hines,et al.  Cascading failures in power grids , 2009, IEEE Potentials.

[13]  Dusko P. Nedic,et al.  Simulation Of Large System Disturbances , 2003 .

[14]  M. A. El-Kady,et al.  Transient stability index from conventional time domain simulation , 1994 .

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

[16]  Kai Sun,et al.  A Multi-Timescale Quasi-Dynamic Model for Simulation of Cascading Outages , 2016, IEEE Transactions on Power Systems.

[17]  Anna Scaglione,et al.  A Markov-Transition Model for Cascading Failures in Power Grids , 2012, 2012 45th Hawaii International Conference on System Sciences.

[18]  Benjamin A. Carreras,et al.  How Many Occurrences of Rare Blackout Events Are Needed to Estimate Event Probability? , 2013, IEEE Transactions on Power Systems.

[19]  I. Musirin,et al.  Novel fast voltage stability index (FVSI) for voltage stability analysis in power transmission system , 2002, Student Conference on Research and Development.

[20]  Adilson E Motter,et al.  Cascade-based attacks on complex networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Kai Sun,et al.  An Interaction Model for Simulation and Mitigation of Cascading Failures , 2014, IEEE Transactions on Power Systems.

[22]  Shengwei Mei,et al.  Cascading outage preventive control for large-scale AC-DC interconnected power grid , 2014, 2014 IEEE PES General Meeting | Conference & Exposition.

[23]  Gang Wang,et al.  A Study of Self-Organized Criticality of Power System Under Cascading Failures Based on AC-OPF With Voltage Stability Margin , 2008, IEEE Transactions on Power Systems.

[24]  Margaret J. Eppstein,et al.  A “Random Chemistry” algorithm for identifying collections of multiple contingencies that initiate cascading failure , 2013, PES 2013.

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

[26]  R. Y. Rubinstein,et al.  A fast Monte Carlo method for evaluating reliability indexes , 1999 .

[27]  Nasir Ghani,et al.  Stochastic Analysis of Cascading-Failure Dynamics in Power Grids , 2014, IEEE Transactions on Power Systems.

[28]  Ian Dobson,et al.  An initial model fo complex dynamics in electric power system blackouts , 2001, Proceedings of the 34th Annual Hawaii International Conference on System Sciences.

[29]  Kai Sun,et al.  Estimating the Propagation of Interdependent Cascading Outages With Multi-Type Branching Processes , 2014, IEEE Transactions on Power Systems.

[30]  Gang Wang,et al.  An Improved OPA Model and Blackout Risk Assessment , 2009, IEEE Transactions on Power Systems.

[31]  Paul Hines,et al.  A “Random Chemistry” Algorithm for Identifying Collections of Multiple Contingencies That Initiate Cascading Failure , 2012, IEEE Transactions on Power Systems.

[32]  Anjan Bose,et al.  Contingency ranking based on severity indices in dynamic security analysis , 1999 .

[33]  Ian Dobson Voltages Across an Area of a Network , 2012, IEEE Transactions on Power Systems.

[34]  Liangzhong Yao,et al.  Vulnerability assessment for cascading failures in electric power systems , 2009, 2009 IEEE/PES Power Systems Conference and Exposition.

[35]  I. Dobson,et al.  Initial review of methods for cascading failure analysis in electric power transmission systems IEEE PES CAMS task force on understanding, prediction, mitigation and restoration of cascading failures , 2008, 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century.

[36]  Feng Liu,et al.  Static security region calculation with improved CPF considering generation regulation , 2012, 2012 IEEE International Conference on Power System Technology (POWERCON).

[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.

[38]  Peng Wang,et al.  Online short-term reliability evaluation using a fast sorting technique , 2008 .

[39]  Pierre Henneaux,et al.  Probability of failure of overloaded lines in cascading failures , 2015 .

[40]  V. Brandwajn,et al.  Severity indices for contingency screening in dynamic security assessment , 1997 .

[41]  Shengwei Mei,et al.  Blackout Model Considering Slow Process , 2013, IEEE Transactions on Power Systems.

[42]  F. Gubina,et al.  Local voltage-stability index using tellegen's Theorem , 2007, 2007 IEEE Power Engineering Society General Meeting.

[43]  C. Singh,et al.  A Fast Contingency Screening Technique for Generation System Reliability Evaluation , 2013, IEEE Transactions on Power Systems.

[44]  James A. Bucklew,et al.  Splitting Method for Speedy Simulation of Cascading Blackouts , 2013, IEEE Transactions on Power Systems.

[45]  D. Jayaweera,et al.  Value of Security: Modeling Time-Dependent Phenomena and Weather Conditions , 2002, IEEE Power Engineering Review.

[46]  Chuangxin Guo,et al.  A Cross-Entropy-Based Three-Stage Sequential Importance Sampling for Composite Power System Short-Term Reliability Evaluation , 2013, IEEE Transactions on Power Systems.