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Non-monotonic increase of robustness with capacity tolerance in power grids

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  • Ma, Tian-Lin
  • Yao, Jian-Xi
  • Qi, Cheng
  • Zhu, Hong-Lu
  • Sun, Yu-Shu

Abstract

The robustness of different scale power grids is analyzed based on complex network theory in terms of electrical betweenness and weighted efficiency. The robustness of a power grid does not always increase monotonically with the capacity. This property is different from the results obtained in previous studies, which have indicated that the robustness increases monotonically with capacity. To understand the non-monotonic phenomenon, the cascading failure is divided into several sub-stages, and we analyze the number of overloaded nodes and the average remaining load in each sub-stage. The results indicate that the increasing capacity is barely able to reduce the number of overloaded nodes at the beginning of malfunction, which may lead to more nodes being removed subsequently, including certain nodes with many connections or large load. More loads remain in the power grid such that certain nodes cannot take the load. This eventually causes overloading of more nodes and a decline in the robustness of the power grid. The conclusion may be useful for power grid planners seeking to design grids with cost-effective capacity.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:21:p:5516-5524
    DOI: 10.1016/j.physa.2013.07.001
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    References listed on IDEAS

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    Cited by:

    1. Zhou, Dongyue & Hu, Funian & Wang, Shuliang & Chen, Jun, 2021. "Power network robustness analysis based on electrical engineering and complex network theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    2. Abedi, Amin & Gaudard, Ludovic & Romerio, Franco, 2019. "Review of major approaches to analyze vulnerability in power system," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 153-172.
    3. 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.
    4. Ji, Xingpei & Wang, Bo & Liu, Dichen & Chen, Guo & Tang, Fei & Wei, Daqian & Tu, Lian, 2016. "Improving interdependent networks robustness by adding connectivity links," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 9-19.
    5. 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.
    6. Kashin Sugishita & Yasuo Asakura, 2021. "Vulnerability studies in the fields of transportation and complex networks: a citation network analysis," Public Transport, Springer, vol. 13(1), pages 1-34, March.

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