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Suppressing cascades in a self-organized-critical model with non-contiguous spread of failures

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  • Hoffmann, Heiko
  • Payton, David W.

Abstract

Many complex systems that produce cascading events are thought to be self-organized critical (SOC). So far, models of SOC treat a cascade as a spread strictly between adjacent nodes, while in many real systems, e.g., the power-grid or the brain, this restriction is invalid. Here, we demonstrate for the first time SOC behavior in a model for which the spread is non-contiguous, i.e., not restricted to neighboring nodes. We illustrate our results in a circuit model obeying Kirchhoff’s laws and demonstrate mitigation strategies that avoid large-scale cascades. We found that the following two unconventional strategies break SOC: (1) upgrade lines at random in addition to fixing failures and (2) upgrade a tripped line with one that has a random trip threshold. These results enhance our understanding about the conditions under which SOC can occur and may lead to insights that help avoid catastrophic events in real-world systems.

Suggested Citation

  • Hoffmann, Heiko & Payton, David W., 2014. "Suppressing cascades in a self-organized-critical model with non-contiguous spread of failures," Chaos, Solitons & Fractals, Elsevier, vol. 67(C), pages 87-93.
    • Handle: RePEc:eee:chsofr:v:67:y:2014:i:c:p:87-93
    DOI: 10.1016/j.chaos.2014.06.011
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    1. Chassin, David P. & Posse, Christian, 2005. "Evaluating North American electric grid reliability using the Barabási–Albert network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 667-677.
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    Cited by:

    1. Biton, Dionessa C. & Tarun, Anjali B. & Batac, Rene C., 2020. "Comparing spatio-temporal networks of intermittent avalanche events: Experiment, model, and empirical data," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).

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