The Controllability of Power Grids in Comparison with Classical Complex Network Models

Yi-Jia ZHANG  Zhong-Jian KANG  Xin-Feng LI  Zhe-Ming LU  

Publication
IEICE TRANSACTIONS on Information and Systems   Vol.E99-D   No.1   pp.279-282
Publication Date: 2016/01/01
Publicized: 2015/10/20
Online ISSN: 1745-1361
DOI: 10.1587/transinf.2015EDL8207
Type of Manuscript: LETTER
Category: Artificial Intelligence, Data Mining
Keyword: 
power grids,  complex networks,  controllability,  driver nodes,  

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Summary: 
The controllability of complex networks has attracted increasing attention within various scientific fields. Many power grids are complex networks with some common topological characteristics such as small-world and scale-free features. This Letter investigate the controllability of some real power grids in comparison with classical complex network models with the same number of nodes. Several conclusions are drawn after detailed analyses using several real power grids together with Erdös-Rényi (ER) random networks, Wattz-Strogatz (WS) small-world networks, Barabási-Albert (BA) scale-free networks and configuration model (CM) networks. The main conclusion is that most driver nodes of power grids are hub-free nodes with low nodal degree values of 1 or 2. The controllability of power grids is determined by degree distribution and heterogeneity, and power grids are harder to control than WS networks and CM networks while easier than BA networks. Some power grids are relatively difficult to control because they require a far higher ratio of driver nodes than ER networks, while other power grids are easier to control for they require a driver node ratio less than or equal to ER random networks.