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Overload cascading failure on complex networks with heterogeneous load redistribution

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  • Hou, Yueyi
  • Xing, Xiaoyun
  • Li, Menghui
  • Zeng, An
  • Wang, Yougui

Abstract

Many real systems including the Internet, power-grid and financial networks experience rare but large overload cascading failures triggered by small initial shocks. Many models on complex networks have been developed to investigate this phenomenon. Most of these models are based on the load redistribution process and assume that the load on a failed node shifts to nearby nodes in the networks either evenly or according to the load distribution rule before the cascade. Inspired by the fact that real power-grid tends to place the excess load on the nodes with high remaining capacities, we study a heterogeneous load redistribution mechanism in a simplified sandpile model in this paper. We find that weak heterogeneity in load redistribution can effectively mitigate the cascade while strong heterogeneity in load redistribution may even enlarge the size of the final failure. With a parameter θ to control the degree of the redistribution heterogeneity, we identify a rather robust optimal θ∗=1. Finally, we find that θ∗ tends to shift to a larger value if the initial sand distribution is homogeneous.

Suggested Citation

  • Hou, Yueyi & Xing, Xiaoyun & Li, Menghui & Zeng, An & Wang, Yougui, 2017. "Overload cascading failure on complex networks with heterogeneous load redistribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 160-166.
    • Handle: RePEc:eee:phsmap:v:481:y:2017:i:c:p:160-166
    DOI: 10.1016/j.physa.2017.04.039
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    Citations

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    Cited by:

    1. Jinghan He & Ninghui Han & Ziqi Wang, 2021. "Optimization Method for Multiple Measures to Mitigate Line Overloads in Power Systems," Energies, MDPI, vol. 14(19), pages 1-19, September.
    2. Wang, Jianwei & Wang, Siyuan & Wang, Ziwei, 2022. "Robustness of spontaneous cascading dynamics driven by reachable area," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    3. Sarafraz, M.M. & Tlili, I. & Tian, Zhe & Bakouri, Mohsen & Safaei, Mohammad Reza, 2019. "Smart optimization of a thermosyphon heat pipe for an evacuated tube solar collector using response surface methodology (RSM)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    4. Jin, Yi & Zhang, Qingyuan & Chen, Yunxia & Lu, Zhendan & Zu, Tianpei, 2023. "Cascading failures modeling of electronic circuits with degradation using impedance network," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    5. Jiang, Yuan & Yan, Yuwei & Hong, Cheng & Yang, Songqing & Yu, Rongbin & Dai, Jiyang, 2022. "Multidirectional recovery strategy against failure," Chaos, Solitons & Fractals, Elsevier, vol. 160(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. Jing, Ke & Du, Xinru & Shen, Lixin & Tang, Liang, 2019. "Robustness of complex networks: Cascading failure mechanism by considering the characteristics of time delay and recovery strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).

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