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Spatio-temporal propagation of cascading overload failures in spatially embedded networks

Author

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  • Jichang Zhao

    (School of Economics and Management, Beihang University)

  • Daqing Li

    (School of Reliability and Systems Engineering, Beihang University
    Science and Technology on Reliability and Environmental Engineering Laboratory)

  • Hillel Sanhedrai

    (Bar-Ilan University)

  • Reuven Cohen

    (Bar-Ilan University)

  • Shlomo Havlin

    (Bar-Ilan University)

Abstract

Different from the direct contact in epidemics spread, overload failures propagate through hidden functional dependencies. Many studies focused on the critical conditions and catastrophic consequences of cascading failures. However, to understand the network vulnerability and mitigate the cascading overload failures, the knowledge of how the failures propagate in time and space is essential but still missing. Here we study the spatio-temporal propagation behaviour of cascading overload failures analytically and numerically on spatially embedded networks. The cascading overload failures are found to spread radially from the centre of the initial failure with an approximately constant velocity. The propagation velocity decreases with increasing tolerance, and can be well predicted by our theoretical framework with one single correction for all the tolerance values. This propagation velocity is found similar in various model networks and real network structures. Our findings may help to predict the dynamics of cascading overload failures in realistic systems.

Suggested Citation

  • Jichang Zhao & Daqing Li & Hillel Sanhedrai & Reuven Cohen & Shlomo Havlin, 2016. "Spatio-temporal propagation of cascading overload failures in spatially embedded networks," Nature Communications, Nature, vol. 7(1), pages 1-6, April.
    • Handle: RePEc:nat:natcom:v:7:y:2016:i:1:d:10.1038_ncomms10094
    DOI: 10.1038/ncomms10094
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    Cited by:

    1. Jin, Ziyang & Duan, Dongli & Wang, Ning, 2022. "Cascading failure of complex networks based on load redistribution and epidemic process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    2. Huang, Hai-Jun & Xia, Tian & Tian, Qiong & Liu, Tian-Liang & Wang, Chenlan & Li, Daqing, 2020. "Transportation issues in developing China's urban agglomerations," Transport Policy, Elsevier, vol. 85(C), pages 1-22.
    3. Hao Wu & Xiangyi Meng & Michael M. Danziger & Sean P. Cornelius & Hui Tian & Albert-László Barabási, 2022. "Fragmentation of outage clusters during the recovery of power distribution grids," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    4. Wang, Weiping & Yang, Saini & Hu, Fuyu & Stanley, H. Eugene & He, Shuai & Shi, Mimi, 2018. "An approach for cascading effects within critical infrastructure systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 164-177.
    5. Shi, Xiaoqiu & Long, Wei & Li, Yanyan & Deng, Dingshan, 2022. "Robustness of interdependent supply chain networks against both functional and structural cascading failures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).
    6. Zhou, Jian & Coit, David W. & Felder, Frank A. & Tsianikas, Stamatis, 2023. "Combined optimization of system reliability improvement and resilience with mixed cascading failures in dependent network systems," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    7. Saha, Dipa & Mitra, Sayantan & Sensharma, Ankur, 2023. "Critically spanning epidemic outbreak cluster in random geometric networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    8. Zhong, Jilong & Zhang, FengMing & Yang, Shunkun & Li, Daqing, 2019. "Restoration of interdependent network against cascading overload failure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 884-891.
    9. Schweitzer, Frank, 2021. "Social percolation revisited: From 2d lattices to adaptive networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    10. 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).
    11. Yin, Kai & Wu, Jianjun & Wang, Weiping & Lee, Der-Horng & Wei, Yun, 2023. "An integrated resilience assessment model of urban transportation network: A case study of 40 cities in China," Transportation Research Part A: Policy and Practice, Elsevier, vol. 173(C).
    12. Di-An Tian & Giovanni Sansavini, 2018. "Impact of cyber dependencies in critical infrastructures: The reliability of grid splitting in power systems," Journal of Risk and Reliability, , vol. 232(5), pages 491-504, October.
    13. Tian, Meng & Dong, Zhengcheng & Cui, Mingjian & Wang, Jianhui & Wang, Xianpei & Zhao, Le, 2019. "Energy-supported cascading failure model on interdependent networks considering control nodes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 195-204.
    14. Zhang, Wangxin & Han, Qiang & Shang, Wen-Long & Xu, Chengshun, 2024. "Seismic resilience assessment of interdependent urban transportation-electric power system under uncertainty," Transportation Research Part A: Policy and Practice, Elsevier, vol. 183(C).

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