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Non-dominated sorting binary differential evolution for the multi-objective optimization of cascading failures protection in complex networks

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  • Li, Y.F.
  • Sansavini, G.
  • Zio, E.

Abstract

A number of research works have been devoted to the optimization of protection strategies (e.g. transmission line switch off) of critical infrastructures (e.g. power grids, telecommunication networks, computer networks, etc) to avoid cascading failures. This work aims at improving a previous optimization approach proposed by some of the authors [1], based on the modified binary differential evolution (MBDE) algorithm. The improvements are three-fold: (1) in the optimization problem formulation, we introduce a third objective function to minimize the impacts of the switching off operations onto the existing network topology; (2) in the optimization problem formulation, we use the final results of cascades, rather than only a short horizon of one step cascading, to evaluate the effects of the switching off strategies; (3) in the optimization algorithm, the fast non-dominated sorting mechanisms are incorporated into the MBDE algorithm: a new algorithm, namely non-dominated sorting binary differential evolution algorithm (NSBDE) is then proposed. The numerical application to the topological structure of the 380kV Italian power transmission network proves the benefits of the improvements.

Suggested Citation

  • Li, Y.F. & Sansavini, G. & Zio, E., 2013. "Non-dominated sorting binary differential evolution for the multi-objective optimization of cascading failures protection in complex networks," Reliability Engineering and System Safety, Elsevier, vol. 111(C), pages 195-205.
  • Handle: RePEc:eee:reensy:v:111:y:2013:i:c:p:195-205
    DOI: 10.1016/j.ress.2012.11.002
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    References listed on IDEAS

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    3. Ramirez-Marquez, José Emmanuel & Rocco S., Claudio M., 2009. "Stochastic network interdiction optimization via capacitated network reliability modeling and probabilistic solution discovery," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 913-921.
    4. Rocco S., Claudio M. & Emmanuel Ramirez-Marquez, José & Salazar A., Daniel E., 2010. "Bi and tri-objective optimization in the deterministic network interdiction problem," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 887-896.
    5. Johansson, Jonas & Hassel, Henrik, 2010. "An approach for modelling interdependent infrastructures in the context of vulnerability analysis," Reliability Engineering and System Safety, Elsevier, vol. 95(12), pages 1335-1344.
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    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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    Cited by:

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    3. Baraldi, Piero & Castellano, Andrea & Shokry, Ahmed & Gentile, Ugo & Serio, Luigi & Zio, Enrico, 2020. "A Feature Selection-based Approach for the Identification of Critical Components in Complex Technical Infrastructures: Application to the CERN Large Hadron Collider," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    4. Yiping Fang & Nicola Pedroni & Enrico Zio, 2015. "Optimization of Cascade‐Resilient Electrical Infrastructures and its Validation by Power Flow Modeling," Risk Analysis, John Wiley & Sons, vol. 35(4), pages 594-607, April.
    5. Li, Y.F. & Peng, R., 2014. "Availability modeling and optimization of dynamic multi-state series–parallel systems with random reconfiguration," Reliability Engineering and System Safety, Elsevier, vol. 127(C), pages 47-57.
    6. Muhammad Murtadha Othman & Nur Ashida Salim & Ismail Musirin, 2017. "Sustainability from the Occurrence of Critical Dynamic Power System Blackout Determined by Using the Stochastic Event Tree Technique," Sustainability, MDPI, vol. 9(6), pages 1-17, June.
    7. Hyunju Lee, 2020. "State-dependent age replacement policy for a system subject to cascading failures," Journal of Risk and Reliability, , vol. 234(2), pages 359-376, April.
    8. Rui Peng & Di Wu & Mengyao Sun & Shaomin Wu, 2021. "An attack-defense game on interdependent networks," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(10), pages 2331-2341, October.
    9. Zhong, Jilong & Sanhedrai, Hillel & Zhang, FengMing & Yang, Yi & Guo, Shu & Yang, Shunkun & Li, Daqing, 2020. "Network endurance against cascading overload failure," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    10. Rocchetta, Roberto, 2022. "Enhancing the resilience of critical infrastructures: Statistical analysis of power grid spectral clustering and post-contingency vulnerability metrics," Renewable and Sustainable Energy Reviews, Elsevier, vol. 159(C).
    11. Liu, Xing & Fang, Yi-Ping & Zio, Enrico, 2021. "A Hierarchical Resilience Enhancement Framework for Interdependent Critical Infrastructures," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
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    14. Chaoqi, Fu & Yangjun, Gao & Jilong, Zhong & Yun, Sun & Pengtao, Zhang & Tao, Wu, 2021. "Attack-defense game for critical infrastructure considering the cascade effect," Reliability Engineering and System Safety, Elsevier, vol. 216(C).

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