Abstract
In this paper, a novel power grid evolving model, which can well describe the evolving property of power grids, is presented. Based on the BA model, motivated by the fact that in real power grids, connectivity of node not only depends on its degree, but also is influenced by many uncertain factors, so we introduce the subconnection factor K for each node. Using the mean-field theory, we get the analytical expression of power-law degree distribution with the exponent γ ɛ(3,g8). Finally, simulation results show that the new model can provide a satisfactory description for empirical characteristics of power network, and power network falls somewhere in between scale-free network and uncertain network.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ding M, Han P P. Small world topological model based vulnerability assessment to large-scale power grid. Autom El Pow Syst, 2005, 25: 118–122
Surdutovich G, Cortez C, Vitilina R, et al. Dynamics of “small world” networks and vulnerability of the electric power grid. In: Proceeding of VIII Symposium of Specialists in Electric Operational and Expansion Planning. Brazil: IEEE, 2002
Dobson I, Carreras B A, Newman D E. A loading dependent model of probabilistic cascading failure. Probab Eng Inform Sc, 2005, 19(1): 15–32
Carreras B A, Lynch V E, Dobson I, et al. Critical points and transitions in an electric power transmission model for cascading failure blackouts. Chaos, 2002, 12(4): 985–994
Sun K, Han Z X, Cao Y J. Review on models of cascading failure in complex power grid. Pow Syst Technol, 2005, 29(13): 1–9
Kinney R, Crucitti P, Latora V. Modeling cascading failures in the North American power grid. Eur Phys J B, 2005, 46: 101–107
Albert R, Albert I, Nakarado G L. Structural vulnerability of the North American power grid. Phys Rev E, 2004, 69: 025103
Crucitti P, Latora V, Marchiori M. Model for cascading failures in complex networks. Phys Rev E, 2004, 69: 045104
Albert R, Jeong H, Barabasi A L. Attack and error tolerance in complex networks. Nature, 2000, 406: 378–381
Motter A E, Lai Y C. Cascade-based attacks on complex networks. Phys Rev E, 2002, 66(2): 065102
Watts D J, Strogatz S H. Collective dynamics of ’small-world’ networks. Nature, 1998, 393, 440–442
Watts D J. A simple model of global cascades on random networks. Proc Natl Acad Sci USA, 2002, 99(9): 5766–5771
Li X, Chen G R. A local-world evolving network model. Physica A, 2003, 328: 274–286
Watts D J. A simple model of global cascades on random networks. Proc Natl Acad Sci USA, 2002, 99(9): 5766–5771
Shi D H, Liu L M, Zhu X, et al. Degree distribution of evolving networks. Europhys Lett, 2006 76(4): 731–737
Saramaki J, Kaski K. Scale-free networks generated by random walkers. Physica A, 2004, 341: 80–86
Shi D H, Zhu S X, Liu L M. Clustering coefficient of growing networks. Physica A, 2007, 381: 515–524
Barabási A L, Albert R. Emergence of scaling in random networks. Science, 1999, 286: 509–512
Newman M E J, Moore C, Watts D J. Mean-field solution of the small-world network model. Phys Rev Lett, 2000, 84: 3201–3204
Meng Z W, Lu Z X, Song J Y. Comparision analysis of the small-world topological model of Chinese and American power grids. Autom El Pow Syst, 2004, 28: 21–24
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, X., Liu, T. & Li, X. A novel evolving model for power grids. Sci. China Technol. Sci. 53, 2862–2866 (2010). https://doi.org/10.1007/s11431-010-4091-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11431-010-4091-4