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A topological investigation of phase transitions of cascading failures in power grids

Author

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  • Koç, Yakup
  • Warnier, Martijn
  • Van Mieghem, Piet
  • Kooij, Robert E.
  • Brazier, Frances M.T.

Abstract

Cascading failures are one of the main reasons for blackouts in electric power transmission grids. The economic cost of such failures is in the order of tens of billion dollars annually. The loading level of power system is a key aspect to determine the amount of the damage caused by cascading failures. Existing studies show that the blackout size exhibits phase transitions as the loading level increases. This paper investigates the impact of the topology of a power grid on phase transitions in its robustness. Three spectral graph metrics are considered: spectral radius, effective graph resistance and algebraic connectivity. Experimental results from a model of cascading failures in power grids on the IEEE power systems demonstrate the applicability of these metrics to design/optimise a power grid topology for an enhanced phase transition behaviour of the system.

Suggested Citation

  • Koç, Yakup & Warnier, Martijn & Van Mieghem, Piet & Kooij, Robert E. & Brazier, Frances M.T., 2014. "A topological investigation of phase transitions of cascading failures in power grids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 273-284.
    • Handle: RePEc:eee:phsmap:v:415:y:2014:i:c:p:273-284
    DOI: 10.1016/j.physa.2014.07.083
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    References listed on IDEAS

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    7. Koç, Yakup & Warnier, Martijn & Mieghem, Piet Van & Kooij, Robert E. & Brazier, Frances M.T., 2014. "The impact of the topology on cascading failures in a power grid model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 169-179.
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    Citations

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    Cited by:

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    4. Yi, Chengqi & Bao, Yuanyuan & Jiang, Jingchi & Xue, Yibo, 2015. "Modeling cascading failures with the crisis of trust in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 256-271.
    5. He, Zhidong & Navneet, Kumar & van Dam, Wirdmer & Van Mieghem, Piet, 2021. "Robustness assessment of multimodal freight transport networks," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    6. Yang, Qihui & Scoglio, Caterina M. & Gruenbacher, Don M., 2021. "Robustness of supply chain networks against underload cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    7. Warnier, Martijn & Dulman, Stefan & Koç, Yakup & Pauwels, Eric, 2017. "Distributed monitoring for the prevention of cascading failures in operational power grids," International Journal of Critical Infrastructure Protection, Elsevier, vol. 17(C), pages 15-27.

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