Failure and avalanches in complex networks

Details Failure and avalanches in complex networks Failure and avalanches in complex networks

2006-05-18

arxiv.org/abs/cond-mat/0605461v2

Europhysics Letters 76, 4, pp. 717-723 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Added new references and some minor extentions on request from referee. Changed figure order. Added journal ref

Scientific paper

10.1209/epl/i2006-10324-1

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 $-1.65 \pm 0.05$ and $-2.0 \pm 0.1$ 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 $-2.0\pm0.05$ for the regular networks and $-1.5\pm0.05$ for the irregular networks. A presented mean field theory is in good agreement with these numerical results.

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