Transient dynamics increasing network vulnerability to cascading failures

被引:205
作者
Simonsen, Ingve [2 ,3 ]
Buzna, Lubos [1 ,4 ]
Peters, Karsten [2 ]
Bornholdt, Stefan [5 ]
Helbing, Dirk [1 ,2 ]
机构
[1] ETH, UNO D11, CH-8092 Zurich, Switzerland
[2] Tech Univ Dresden, D-01086 Dresden, Germany
[3] Norwegian Univ Sci & Technol NTNU, Dept Phys, NO-7491 Trondheim, Norway
[4] Univ Zilina, SK-01026 Zilina, Slovakia
[5] Univ Bremen, Inst Theoret Phys, D-28334 Bremen, Germany
关键词
25;
D O I
10.1103/PhysRevLett.100.218701
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study cascading failures in networks using a dynamical flow model based on simple conservation and distribution laws. It is found that considering the flow dynamics may imply reduced network robustness compared to previous static overload failure models. This is due to the transient oscillations or overshooting in the loads, when the flow dynamics adjusts to the new ( remaining) network structure. The robustness of networks showing cascading failures is generally given by a complex interplay between the network topology and flow dynamics.
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页数:4
相关论文
共 25 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]   Statistical mechanics of complex networks [J].
Albert, R ;
Barabási, AL .
REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :47-97
[3]   Error and attack tolerance of complex networks [J].
Albert, R ;
Jeong, H ;
Barabási, AL .
NATURE, 2000, 406 (6794) :378-382
[4]   Classes of small-world networks [J].
Amaral, LAN ;
Scala, A ;
Barthélémy, M ;
Stanley, HE .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2000, 97 (21) :11149-11152
[5]  
[Anonymous], 1977, MATH MODELS STUDY RE
[6]   Failures and avalanches in complex networks [J].
Bakke, J. O. H. ;
Hansen, A. ;
Kertesz, J. .
EUROPHYSICS LETTERS, 2006, 76 (04) :717-723
[7]  
Ben-Israel A., 2003, GEN INVERSES
[8]  
Billinton R., 1994, Reliability assessment of electrical power systems using Monte Carlo methods
[9]   Model for cascading failures in complex networks [J].
Crucitti, P ;
Latora, V ;
Marchiori, M .
PHYSICAL REVIEW E, 2004, 69 (04) :4
[10]   Annual risk assessment for overload security [J].
Dai, YJ ;
McCalley, JD ;
Abi-Samra, N ;
Vittal, V .
IEEE TRANSACTIONS ON POWER SYSTEMS, 2001, 16 (04) :616-623