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The impact of the topology on cascading failures in a power grid model

Author

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

Abstract

Cascading failures are one of the main reasons for large scale blackouts in power transmission grids. Secure electrical power supply requires, together with careful operation, a robust design of the electrical power grid topology. Currently, the impact of the topology on grid robustness is mainly assessed by purely topological approaches, that fail to capture the essence of electric power flow. This paper proposes a metric, the effective graph resistance, to relate the topology of a power grid to its robustness against cascading failures by deliberate attacks, while also taking the fundamental characteristics of the electric power grid into account such as power flow allocation according to Kirchhoff laws. Experimental verification on synthetic power systems shows that the proposed metric reflects the grid robustness accurately. The proposed metric is used to optimize a grid topology for a higher level of robustness. To demonstrate its applicability, the metric is applied on the IEEE 118 bus power system to improve its robustness against cascading failures.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:402:y:2014:i:c:p:169-179
    DOI: 10.1016/j.physa.2014.01.056
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    References listed on IDEAS

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    1. Chen, Guo & Dong, Zhao Yang & Hill, David J. & Zhang, Guo Hua, 2009. "An improved model for structural vulnerability analysis of power networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4259-4266.
    2. R. Kinney & P. Crucitti & R. Albert & V. Latora, 2005. "Modeling cascading failures in the North American power grid," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 46(1), pages 101-107, July.
    3. Ma, Tian-Lin & Yao, Jian-Xi & Qi, Cheng & Zhu, Hong-Lu & Sun, Yu-Shu, 2013. "Non-monotonic increase of robustness with capacity tolerance in power grids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5516-5524.
    4. Chen, Guo & Dong, Zhao Yang & Hill, David J. & Zhang, Guo Hua & Hua, Ke Qian, 2010. "Attack structural vulnerability of power grids: A hybrid approach based on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 595-603.
    5. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
    6. Bompard, Ettore & Napoli, Roberto & Xue, Fei, 2009. "Analysis of structural vulnerabilities in power transmission grids," International Journal of Critical Infrastructure Protection, Elsevier, vol. 2(1), pages 5-12.
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    Citations

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    Cited by:

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    6. Tio, Adonis E. & Hill, David J. & Ma, Jin, 2020. "Can graph properties determine future grid adequacy for power injection diversity?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
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    8. 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.
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