Failures and avalanches in complex networks

J. Ø.H. Bakke, A. Hansen, J. Kertész

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

We study the size distribution of power blackouts for the Norwegian and North American power grids. We find that for both systems the size distribution follows power laws with exponents -1.65±0.05 and -2.0±0.1, respectively. We then present a model with global redistribution of the load when a link in the system fails which reproduces the power law from the Norwegian power grid if the simulation are carried out on the Norwegian high-voltage power grid. The model is also applied to regular and irregular networks and give power laws with exponents -2.0 ± 0.05 for the regular networks and -1.5 ± 0.05 for the irregular networks. A presented mean-field theory is in good agreement with these numerical results.

Original languageEnglish
Pages (from-to)717-723
Number of pages7
JournalEPL
Volume76
Issue number4
DOIs
StatePublished - 15 Nov 2006
Externally publishedYes

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