Abstract
Complex network theory finds its application in analysis of power grid as both share some common characteristics. By using this theory finding critical elements in power network can be achieved. As vulnerabilities of elements of the network decide the vulnerability of the total network, in this paper, vulnerability of each element is studied using two complex network models—betweenness centrality and extended betweenness. The betweenness centrality considers only topological structure of power system whereas extended betweenness is based on both topological and physical properties of the system. In the latter case, some of the electrical properties such as electrical distance, line flow limits, transmission capacities of lines and PTDF matrix are included. The standard IEEE 57 bus system has been studied based upon the above mentioned indices and following conclusions have been discussed.
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Y. Xue, S. Xiao, Generalized congestion of power systems: insights from the massive blackouts in India. J. Mod. Power Syst. Clean Energy 1(2), 91–100 (2013)
P. Crucitti, V. Latora, M. Marchiori, Phys. A 338, 92 (2004)
R. Kinney, P. Crucitti, R. Albert, V. Latora, Eur. Phys. J. B 46, 101 (2005)
I. Dobson, B.A. Carreras, V.E. Lynch, D.E. Newman, Chaos 17, 026103 (2007)
W.J. Bai, T. Zhou, Z.Q. Fu, Y.H. Chen, X. Wu, B.H. Wang, IEEE CNF 4, 2687 (2006)
D.P. Chassin, C. Posse, Phys. A 355, 667 (2005)
X. Chen, K. Sun, Y. Cao, S. Wang, IEEE Power Engineering Society General Meeting (2007)
P. Crucitti, V. Latora, M. Marchiori, Fluct. Noise Lett. 5, L201 (2005)
B. Gou, H. Zheng, W. Wu, X. Yu, in IEEE International Symposium on Circuits and Systems, ISCAS, vol. 69 (2007)
S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, D.U. Hwang, Phys. Rep. 424, 175 (2006)
R. Albert, H. Jeong, A.L. Barabasi, Nature 406, 378 (2000)
P. Crucitti, V. Latora, M. Marchiori, Phys. Rev. E 69, 045104 (2004)
A.E. Motter, Y.C. Lai, Phys. Rev. E 66, 065102 (2002)
S. Eubank, H. Guclu, V.S.A. Kumar, M. Marathe, A. Srinivasan, Z. Toroczkai, N. Wang, Nature 429, 180 (2004)
C.W. Jiang, E. Bompard, Math. Comput. Simul. 68, 57 (2005)
G. Gross, E. Bompard, Int. J. Electr. Power Energy Syst. 26, 787 (2004)
D.J. Watts, S.H. Strogatz, Collective dynamics of ‘small-world’ networks. Nature 393, 440–442 (1998)
A.L. Barabasi, R. Albert, Emergence of scaling in random networks. Science 286, 509–512 (1999)
X.F. Wang, G.R. Chen, Complex networks: small-world, scale-free and beyond. IEEE Circuits Syst. Mag. 3(1), 6–20 (2003)
J. Zhao, H. Yu, J.H. Luo et al., Complex networks theory for analyzing metabolic networks. Chin. Sci. Bull. 13, 1529–1537 (2006)
K. Sun, Complex networks theory: a new method of research in power grid, in Proceedings of the IEEElPES Transmission and Distribution Conference and Exhibition: Asia and Pacific, Dalian, China (2005), pp. 1–6
H. Zhao, C. Zhang, H. Ren, Power transmission network vulnerable region identifying based on complex network theory, in Proceedings of the 3rd International Conference on Electric Utility Deregulation and Restructuring and Power Technologies (DRPT), Nanjing, China (2008), pp. 1082–1085
L. Zongxiang, M. Zhongwei, Z. Shuangxi, Cascading failure analysis of bulk power system using small-world network model, in Proceedings of the 8th International Conference on Probabilistic Methods Applied to Power Systems. (Iowa State University, Ames, 2004), pp. 635–640
Z. Guohua, W. Ce, Z. Jianhua, Y. Jingyan, Z. Yin, D. Manyin, Vulnerability assessment of bulk power grid based on complex network theory, in Proceedings of the 3rd International Conference on Electric Utility Deregulation and Restructuring and Power Technologies (DRPT), Nanjing, China (2008), pp. 1554–1558
A.J. Holmgren, Quantitative Vulnerability Analysis of Electric Power Networks. Ph.D. dissertation, Royal Institute of Technology, 2006
R. Albert, I. Albert, G.L. Nakarado, Structural vulnerability of the North American power grid. Phys. Rev. E 69, 025103 (2004)
R. Criado, J. Flores, B. Hernandez-Bermejo, J. Pello, M. Romance, Effective measurement of network vulnerability under random and intentional attacks. J. Math. Model. Algorithms 4(3), 307–316 (2005)
J.E. Cotilla-Sanchez, A Complex Network Approach to Analyzing the Structure and Dynamics of Power Grids. Ph.D. dissertation, The University of Vermont, 2009
G.K. Rout, T. Chowdhury, C.K. Chanda, Analysis of power grid vulnerability based on complex network theory, in Thirtieth National Convention of Electrical Engineering on Development of Smart Grid in India, Shillong, Electrical Engineering Division, November 07–08, 2014
E. Bompard, D. Wu, F. Xue, Structural vulnerability of power systems: a topological approach. Electr. Power Syst. Res. 81(7), 1334–1340 (2011)
B. Sujatha, N. Kamaraj, Transmission congestion management using particle swarm optimization. JES 7–1, 54–70 (2011)
U. Brandes, J. Math. Soc. 25, 163 (2001)
S. Arianos, E. Bompard, A. Carbone, F. Xue, Power grid vulnerability: a complex network approach. Chaos 19, 013119 (2009)
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Rout, G.K., Chowdhury, T. & Chanda, C.K. Betweenness as a Tool of Vulnerability Analysis of Power System. J. Inst. Eng. India Ser. B 97, 463–468 (2016). https://doi.org/10.1007/s40031-016-0222-z
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DOI: https://doi.org/10.1007/s40031-016-0222-z