Title
Natural synchronization in power-grids with anti-correlated units
Abstract
Synchronization between spatially distributed nodes of a power-grid is a crucial requirement for its proper operation. Using a Kuramoto-like network as a realistic physical model for the distribution of electrical power in a power-grid, we obtain coupling strengths and topological characteristics that favor the synchronous state of those technological networks. Power-grids are highly heterogeneous. They are composed of different classes of nodes and each node behaves differently. We show in this work that if a power-grid is extensive and nodes are highly connected, the coupling strength that leads to synchronization depends mainly on the eigenvalues of the Laplacian matrix, as it happens in homogeneous networks composed of equal nodes. On the other hand, if a power-grid is sparsely connected, the coupling strength that leads to synchronization is also strongly related to the correlation coefficient of the network, which means that a high number of connections between similar nodes (two power plants or two consumer centers) disfavor the synchronizability of the power-grid. We apply our results to the Brazilian power-grid system. (C) 2012 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2013
10.1016/j.cnsns.2012.08.030
Communications in Nonlinear Science and Numerical Simulation
Keywords
DocType
Volume
Synchronization,Complex network,Power-grid
Journal
18
Issue
ISSN
Citations 
4
1007-5704
1
PageRank 
References 
Authors
0.37
0
3
Name
Order
Citations
PageRank
Rodrigo Carareto120.74
M. S. Baptista2114.42
Celso Grebogi312734.41