| Issue |
Europhys. Lett.
Volume 76, Number 4, November 2006
|
|
|---|---|---|
| Page(s) | 717 - 723 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i2006-10324-1 | |
| Published online | 18 October 2006 | |
Failures and avalanches in complex networks
1
Department of Physics, Norwegian University of Science and Technology N-7491 Trondheim, Norway
2
Institute of Physics, Budapest University of Technology - Budafoki út. 8 H-1111 Budapest, Hungary
Received:
7
June
2006
Accepted:
25
September
2006
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 
and
, 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 
for the regular networks and 
for the irregular
networks. A presented mean-field theory is in good agreement with these numerical results.
PACS: 89.75.Fb – Structures and organization in complex systems / 89.75.Hc – Networks and genealogical trees / 84.70.+p – High-current and high-voltage technology: power systems; power transmission lines and cables
© EDP Sciences, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.