Identification of Vulnerable Lines in Power Grid Based on Complex Network Theory

Some critical lines can have important impact on the large-scale blackouts and cascading failures in power grid. Based on the newest progress in the field of complex network, a new vulnerability index called weighted line betweenness is proposed as vulnerability index in this paper. The weighted line betweenness of one line is defined as the sum of the loads acted on this line, which are brought by the shortest electric paths between generator nodes and load nodes that passing through this line. We revise the weighted line betweenness by increasing the betweenness to the highest betweenness in the neighboring lines before revision. Vulnerability analysis has been carried out on the IEEE 39 bus system and Huazhong-Chuanyu power grid. The time domain simulation results verify that the weighted line betweenness can not only identify the most critical lines but also find out those light loaded but critical lines due to their special position in the power grid.

[1]  James S. Thorp,et al.  A stochastic study of hidden failures in power system protection , 1999, Decis. Support Syst..

[2]  Han Pingping,et al.  Small-world Topological Model Based Vulnerability Assessment Algorithm for Large-scale Power Grid , 2006 .

[3]  P. Erdos,et al.  On the evolution of random graphs , 1984 .

[4]  J. S. Thorp,et al.  A reliability study of transmission system protection via a hidden failure DC load flow model , 2002 .

[5]  Ming Ding,et al.  Reliability assessment to large-scale power grid based on small-world topological model , 2006, 2006 International Conference on Power System Technology.

[6]  Ian Dobson,et al.  An initial model fo complex dynamics in electric power system blackouts , 2001, Proceedings of the 34th Annual Hawaii International Conference on System Sciences.

[7]  Zhao Xi-zheng.  STRENGTHEN POWER SYSTEM SECURITY TO ENSURE RELIABLE POWER DELIVERY , 2003 .

[8]  J. Fowler,et al.  An Application of the Highly Optimized Tolerance Model to Electrical Blackouts , 2003, Int. J. Bifurc. Chaos.

[9]  Cao Yijia.  REVIEW ON MODELS OF CASCADING FAILURE IN COMPLEX POWER GRID , 2005 .

[10]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[11]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[12]  B. Bollobás.  The evolution of random graphs , 1984 .

[13]  Tang Bao-sheng.  BLACKOUT IN SOUTH OF LONDON AND ITS LESSONS , 2003 .

[14]  Ian Dobson,et al.  Examining criticality of blackouts in power system models with cascading events , 2002, Proceedings of the 35th Annual Hawaii International Conference on System Sciences.

[15]  Cao Yijia.  POWER SYSTEM SECURITY AND ITS PREVENTION , 2004 .

[16]  Ian Dobson,et al.  Initial evidence for self-organized criticality in electric power system blackouts , 2000, Proceedings of the 33rd Annual Hawaii International Conference on System Sciences.

[17]  Bu Guang-quan,et al.  PRELIMINARY ANALYSIS OF LARGE SCALE BLACKOUT IN INTERCONNECTED NORTH AMERICA POWER GRID ON AUGUST 14 AND LESSONS TO BE DRAWN , 2003 .