Analysis of cascading failure in complex power networks under the load local preferential redistribution rule

In recent years several global blackouts have drawn a lot of attention to security problems in electric power transmission systems. Here we analyze the cascading failure in complex power networks based on the local preferential redistribution rule of the broken node’s load, where the weight of a node is correlated with its link degree k as kβ. It is found that there exists a threshold α∗ such that cascading failure is induced and enhanced when the value of tolerance parameter is smaller than the threshold. It is also found that the larger β is the more robust the power network is.

[1]  M. L. Sachtjen,et al.  Disturbances in a power transmission system , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  Jianwei Wang,et al.  Mitigation strategies on scale-free networks against cascading failures , 2013 .

[3]  André A Moreira,et al.  Finite-size effects for percolation on Apollonian networks. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Vito Latora,et al.  Modeling cascading failures in the North American power grid , 2005 .

[5]  Adilson E Motter,et al.  Cascade-based attacks on complex networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Massimo Marchiori,et al.  Model for cascading failures in complex networks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  André A Moreira,et al.  Biased percolation on scale-free networks. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Du Qu Wei,et al.  Passivity-based adaptive control of chaotic oscillations in power system , 2007 .

[9]  Adilson E Motter Cascade control and defense in complex networks. , 2004, Physical review letters.

[10]  Wolfgang A. Halang,et al.  Understanding the cascading failures in Indian power grids with complex networks theory , 2013 .

[11]  Hans J. Herrmann,et al.  Mitigation of malicious attacks on networks , 2011, Proceedings of the National Academy of Sciences.

[12]  Zhejing Bao,et al.  Analysis of cascading failure in electric grid based on power flow entropy , 2009 .

[13]  Dirk Helbing,et al.  Transient dynamics increasing network vulnerability to cascading failures. , 2007, Physical review letters.

[14]  G. Filatrella,et al.  Analysis of a power grid using a Kuramoto-like model , 2007, 0705.1305.

[15]  Ian Dobson,et al.  Cascading dynamics and mitigation assessment in power system disturbances via a hidden failure model , 2005 .

[16]  V. E. Lynch,et al.  Critical points and transitions in an electric power transmission model for cascading failure blackouts. , 2002, Chaos.

[17]  Y. Moreno,et al.  Instability of scale-free networks under node-breaking avalanches , 2001 .

[18]  H. Herrmann,et al.  How to Make a Fragile Network Robust and Vice Versa , 2009, Physical review letters.

[19]  Réka Albert,et al.  Structural vulnerability of the North American power grid. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Ricard V. Solé,et al.  Topological Vulnerability of the European Power Grid under Errors and Attacks , 2007, Int. J. Bifurc. Chaos.

[21]  Jian-Wei Wang,et al.  Cascade-based attack vulnerability on the US power grid. , 2009 .

[22]  Harry Eugene Stanley,et al.  Catastrophic cascade of failures in interdependent networks , 2009, Nature.

[23]  Liang Zhang,et al.  Attack vulnerability of scale-free networks due to cascading failures , 2008 .

[24]  Guanrong Chen,et al.  Universal robustness characteristic of weighted networks against cascading failure. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.