Spectral analysis of a real power network
by Vincenzo Fioriti; Marino Sforna; Gregorio D'Agostino
International Journal of Critical Infrastructures (IJCIS), Vol. 8, No. 4, 2012

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.

Online publication date: Thu, 31-Jul-2014

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