Failures and avalanches in complex networks

被引:41
作者
Bakke, J. O. H. [1 ]
Hansen, A.
Kertesz, J.
机构
[1] Norwegian Univ Sci & Technol, Dept Phys, N-7491 Trondheim, Norway
[2] Budapest Univ Techol, Inst Phys, H-1111 Budapest, Hungary
来源
EUROPHYSICS LETTERS | 2006年 / 76卷 / 04期
关键词
D O I
10.1209/epl/i2006-10324-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:717 / 723
页数:7
相关论文
共 19 条
[1]   Structural vulnerability of the North American power grid [J].
Albert, R ;
Albert, I ;
Nakarado, GL .
PHYSICAL REVIEW E, 2004, 69 (02) :025103-1
[2]  
Bak P, 1999, NATURE WORKS
[3]  
BATROUNI GG, 1988, J STAT PHYS, V52, P747, DOI 10.1007/BF01019728
[4]   Evidence for self-organized criticality in a time series of electric power system blackouts [J].
Carreras, BA ;
Newman, DE ;
Dobson, I ;
Poole, AB .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2004, 51 (09) :1733-1740
[5]  
CARRERAS BA, 2001, P 33 HAW INT C SYST
[6]  
CHEN J, 2001, P 34 HAW INT C SYST
[7]  
DAVID HA, 1981, ORDER STAT
[8]   RANDOM FUSE MODEL FOR BREAKING PROCESSES. [J].
de Arcangelis, L. ;
Redner, S. .
Journal de physique. Lettres, 1985, 46 (13) :585-590
[9]   Physics and fracture [J].
Hansen, A .
COMPUTING IN SCIENCE & ENGINEERING, 2005, 7 (05) :90-95
[10]  
Herrmann HJ., 1990, STAT MODELS FRACTURE