Vulnerability of the large-scale future smart electric power grid

The changing power flow pattern of the power system, with inclusion of large-scale renewable energy sources in the distribution side of the network, has been modeled by complex network framework based bidirectional graph. The bidirectional graph accommodates the reverse power flowing back from the distribution side to the grid in the model as a reverse edge connecting two nodes. The capacity of the reverse edge is equal to the capacity of the existing edge between the nodes in the forward directional nominal graph. Increased path in the combined model, built to facilitate grid reliability and efficiency, may serve as a bottleneck in practice with removal of certain percentage of nodes or edges. The effect of removal of critical elements has been analyzed in terms of increased path length, connectivity loss, load loss, and number of overloaded lines.

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

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

[3]  L. Freeman Centrality in social networks conceptual clarification , 1978 .

[4]  Zhao Yang Dong,et al.  An improved model for structural vulnerability analysis of power networks , 2009 .

[5]  Linton C. Freeman,et al.  The gatekeeper, pair-dependency and structural centrality , 1980 .

[6]  Benjamin A Carreras,et al.  Complex systems analysis of series of blackouts: cascading failure, critical points, and self-organization. , 2007, Chaos.

[7]  Zhao Yang Dong,et al.  Exploring Reliable Strategies for Defending Power Systems Against Targeted Attacks , 2011, IEEE Transactions on Power Systems.

[8]  C. W. Taylor,et al.  Model validation for the August 10, 1996 WSCC system outage , 1999 .

[9]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[10]  Donald B. Johnson,et al.  Efficient Algorithms for Shortest Paths in Sparse Networks , 1977, J. ACM.

[11]  Huan Zhou,et al.  Vulnerability Assessment of Power Grid Based on Complex Network Theory , 2009, 2009 Asia-Pacific Power and Energy Engineering Conference.

[12]  P. Hines,et al.  Do topological models provide good information about electricity infrastructure vulnerability? , 2010, Chaos.

[13]  Chao Zhang,et al.  Power transmission network vulnerable region identifying based on complex network theory , 2008, 2008 Third International Conference on Electric Utility Deregulation and Restructuring and Power Technologies.

[14]  C. Eden BookOn systems analysis : David Berlinski 186 pages, £ 10.25 (Cambridge, Mass, and London, MIT Press, 1976)☆ , 1978 .

[15]  Gang Wang,et al.  An Improved OPA Model and Blackout Risk Assessment , 2009, IEEE Transactions on Power Systems.

[16]  Ke Sun,et al.  Complex Networks Theory: A New Method of Research in Power Grid , 2005, 2005 IEEE/PES Transmission & Distribution Conference & Exposition: Asia and Pacific.

[17]  Albert-László Barabási,et al.  Error and attack tolerance of complex networks , 2000, Nature.

[18]  D. Fischer,et al.  Developing a communication infrastructure for the Smart Grid , 2009, 2009 IEEE Electrical Power & Energy Conference (EPEC).

[19]  Xinghuo Yu,et al.  Analyzing power network vulnerability with maximum flow based centrality approach , 2010, 2010 8th IEEE International Conference on Industrial Informatics.

[20]  Ian Dobson,et al.  Evidence for self-organized criticality in a time series of electric power system blackouts , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[21]  H. Farhangi,et al.  The path of the smart grid , 2010, IEEE Power and Energy Magazine.

[22]  Xinghuo Yu,et al.  Identifying vulnerable lines in a power network using complex network theory , 2009, 2009 IEEE International Symposium on Industrial Electronics.

[23]  Hemanshu R. Pota,et al.  Bus dependency matrix of electrical power systems , 2014 .

[24]  Shaobu Wang,et al.  Identification of Vulnerable Lines in Power Grid Based on Complex Network Theory , 2007, 2007 IEEE Power Engineering Society General Meeting.

[25]  Zhao Yang Dong,et al.  Attack structural vulnerability of power grids: A hybrid approach based on complex networks , 2010 .

[26]  Xinghuo Yu,et al.  A Maximum-Flow-Based Complex Network Approach for Power System Vulnerability Analysis , 2013, IEEE Transactions on Industrial Informatics.

[27]  Fei Xue,et al.  Structural vulnerability of power systems: A topological approach , 2011 .

[28]  I. Kamwa,et al.  Causes of the 2003 major grid blackouts in North America and Europe, and recommended means to improve system dynamic performance , 2005, IEEE Transactions on Power Systems.

[29]  Mulukutla S. Sarma,et al.  Power System Analysis and Design , 1993 .

[30]  Anna Scaglione,et al.  Electrical centrality measures for electric power grid vulnerability analysis , 2010, 49th IEEE Conference on Decision and Control (CDC).

[31]  Fei Xue,et al.  Extended topological approach for the assessment of structural vulnerability in transmission networks , 2010 .