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Analysis of cascading failure in complex power networks under the load local preferential redistribution rule

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  • Wei, Du Qu
  • Luo, Xiao Shu
  • Zhang, Bo

Abstract

In recent years several global blackouts have drawn a lot of attention to security problems in electric power transmission systems. Here we analyze the cascading failure in complex power networks based on the local preferential redistribution rule of the broken node’s load, where the weight of a node is correlated with its link degree k as kβ. It is found that there exists a threshold α∗ such that cascading failure is induced and enhanced when the value of tolerance parameter is smaller than the threshold. It is also found that the larger β is the more robust the power network is.

Suggested Citation

  • Wei, Du Qu & Luo, Xiao Shu & Zhang, Bo, 2012. "Analysis of cascading failure in complex power networks under the load local preferential redistribution rule," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2771-2777.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:8:p:2771-2777
    DOI: 10.1016/j.physa.2011.12.030
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    Cited by:

    1. Na Zhang & Yu Yang & Yujie Zheng & Jiafu Su, 2019. "Module partition of complex mechanical products based on weighted complex networks," Journal of Intelligent Manufacturing, Springer, vol. 30(4), pages 1973-1998, April.
    2. Mirja Meyer & Marc-Thorsten Hütt & Julia Bendul, 2016. "The elementary flux modes of a manufacturing system: a novel approach to explore the relationship of network structure and function," International Journal of Production Research, Taylor & Francis Journals, vol. 54(14), pages 4145-4160, July.
    3. 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.
    4. Lucas Cuadra & Sancho Salcedo-Sanz & Javier Del Ser & Silvia Jiménez-Fernández & Zong Woo Geem, 2015. "A Critical Review of Robustness in Power Grids Using Complex Networks Concepts," Energies, MDPI, vol. 8(9), pages 1-55, August.
    5. Yu Guodong & Yang Yu & Zhang Xuefeng & Li Chi, 2017. "Network-Based Analysis of Requirement Change in Customized Complex Product Development," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 1125-1149, July.
    6. Guo, Hengdao & Zheng, Ciyan & Iu, Herbert Ho-Ching & Fernando, Tyrone, 2017. "A critical review of cascading failure analysis and modeling of power system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 80(C), pages 9-22.
    7. Zhang, Guidong & Li, Zhong & Zhang, Bo & Halang, Wolfgang A., 2013. "Understanding the cascading failures in Indian power grids with complex networks theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(15), pages 3273-3280.
    8. Wang, Jianwei, 2013. "Mitigation strategies on scale-free networks against cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2257-2264.
    9. 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.
    10. Xia, Yongxiang & Wang, Cong & Shen, Hui-Liang & Song, Hainan, 2020. "Cascading failures in spatial complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    11. Zhang, Ding-Xue & Zhao, Dan & Guan, Zhi-Hong & Wu, Yonghong & Chi, Ming & Zheng, Gui-Lin, 2016. "Probabilistic analysis of cascade failure dynamics in complex network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 299-309.
    12. Peng, Xingzhao & Yao, Hong & Du, Jun & Wang, Zhe & Ding, Chao, 2015. "Invulnerability of scale-free network against critical node failures based on a renewed cascading failure model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 69-77.
    13. Al-Takrouri, Saleh & Savkin, Andrey V., 2013. "A decentralized flow redistribution algorithm for avoiding cascaded failures in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6135-6145.
    14. Márcio das Chagas Moura & Helder Henrique Lima Diniz & Enrique López Droguett & Beatriz Sales da Cunha & Isis Didier Lins & Vicente Ribeiro Simoni, 2017. "Embedding resilience in the design of the electricity supply for industrial clients," PLOS ONE, Public Library of Science, vol. 12(11), pages 1-33, November.
    15. Lu, Qing-Chang & Zhang, Lei & Xu, Peng-Cheng & Cui, Xin & Li, Jing, 2022. "Modeling network vulnerability of urban rail transit under cascading failures: A Coupled Map Lattices approach," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    16. Jin, Wei-Xin & Song, Ping & Liu, Guo-Zhu & Stanley, H. Eugene, 2015. "The cascading vulnerability of the directed and weighted network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 302-325.
    17. Ma, Xiangyu & Zhou, Huijie & Li, Zhiyi, 2021. "On the resilience of modern power systems: A complex network perspective," Renewable and Sustainable Energy Reviews, Elsevier, vol. 152(C).

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