Dynamic modeling of the electric transportation networkA. Scirè, I. Tuval and V. M. Eguíluz
Instituto Mediterráneo de Estudios Avanzados IMEDEA (CSIC-UIB) E-07122 Palma de Mallorca, Spain
received 29 October 2004; accepted in final form 12 May 2005
published online 8 June 2005
We introduce a model for the dynamic self-organization of the electric grid. The model is characterized by a conserved magnitude, energy, that can travel following the links of the network to satisfy nodes' load. The load fluctuates in time causing local overloads that drive the dynamic evolution of the network topology. Our model displays a transition from a fully connected network to a configuration with a non-trivial topology and where global failures are suppressed. The most efficient topology is characterized by an exponential degree distribution, in agreement with the topology of the real electric grid. The model intrinsically presents self-induced break-down events, which can be thought as representative of real black-outs.
89.75.-k - Complex systems.
89.75.Fb - Structures and organization in complex systems.
05.65.+b - Self-organized systems.
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