Spectral analysis of a real power network

Vincenzo Fioriti, Marino Sforna and Gregorio D'Agostino

International Journal of Critical Infrastructures, 2012, vol. 8, issue 4, 354-367

Abstract: We present a spectral analysis of a significant part of the Italian bulk power system. Spectral analysis applied to graphs is not a new tool, but analyses of the real world, especially of technological networks, currently are lacking. We show the spectral pattern of a high voltage power network, calculate the ratio between the smallest and largest non-zero Laplacian eigenvalue to check its synchronisability and calculate the epidemics threshold of a real HV power grid. We indicate the trade-off between sinchronisability and epidemic threshold as a major network design problem. Moreover, following Restrepo, Ott, Hunt, we propose the usage of the maximum eigenvalue of the adjacency matrix to assess a metric for the inter-dependency in the technological networks.

Keywords: spectral analysis; high voltage power networks; synchronisation; eigenvalue; cascading failures; complex networks; Italy; power grids; network design; critical infrastructures. (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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