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Optimal power grid protection through a defender–attacker–defender model

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  • Yuan, Wei
  • Zhao, Long
  • Zeng, Bo

Abstract

Power grid vulnerability is a major concern of our society, and its protection problem is often formulated as a tri-level defender–attacker–defender model. However, this tri-level problem is computationally challenging. In this paper, we design and implement a Column-and-Constraint Generation algorithm to derive its optimal solutions. Numerical results on an IEEE system show that: (i) the developed algorithm identifies optimal solutions in a reasonable time, which significantly outperforms the existing exact algorithm; (ii) the attack solution obtained through solving the attacker–defender model does not lead to the optimal protection plan in general; and (iii) protection using the optimal solution from the defender–attacker–defender model always improves the grid survivability under contingencies. The proposed model and algorithm can be easily modified to accommodate for other critical infrastructure network protection problems.

Suggested Citation

  • Yuan, Wei & Zhao, Long & Zeng, Bo, 2014. "Optimal power grid protection through a defender–attacker–defender model," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 83-89.
    • Handle: RePEc:eee:reensy:v:121:y:2014:i:c:p:83-89
    DOI: 10.1016/j.ress.2013.08.003
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    References listed on IDEAS

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    1. Patterson, S.A. & Apostolakis, G.E., 2007. "Identification of critical locations across multiple infrastructures for terrorist actions," Reliability Engineering and System Safety, Elsevier, vol. 92(9), pages 1183-1203.
    2. Hausken, Kjell, 2008. "Strategic defense and attack for series and parallel reliability systems," European Journal of Operational Research, Elsevier, vol. 186(2), pages 856-881, April.
    3. Levitin, Gregory & Ben-Haim, Hanoch, 2008. "Importance of protections against intentional attacks," Reliability Engineering and System Safety, Elsevier, vol. 93(4), pages 639-646.
    4. Zio, E., 2009. "Reliability engineering: Old problems and new challenges," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 125-141.
    5. Gerald Brown & Matthew Carlyle & Javier Salmerón & Kevin Wood, 2006. "Defending Critical Infrastructure," Interfaces, INFORMS, vol. 36(6), pages 530-544, December.
    6. Hausken, Kjell & Levitin, Gregory, 2009. "Minmax defense strategy for complex multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 577-587.
    7. Hausken, Kjell, 2008. "Strategic defense and attack for reliability systems," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1740-1750.
    8. Bier, Vicki M. & Gratz, Eli R. & Haphuriwat, Naraphorn J. & Magua, Wairimu & Wierzbicki, Kevin R., 2007. "Methodology for identifying near-optimal interdiction strategies for a power transmission system," Reliability Engineering and System Safety, Elsevier, vol. 92(9), pages 1155-1161.
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