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A novel evolving model for power grids. (English) Zbl 1269.90021
Summary: 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 {$$\gamma$$} (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.
##### MSC:
 90B10 Deterministic network models in operations research
##### Keywords:
power grid; evolving model; scale-free
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