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Spectral analysis of a real power network

TitleSpectral analysis of a real power network
Publication TypeArticolo su Rivista peer-reviewed
Year of Publication2012
AuthorsFioriti, Vincenzo, Sforna M., and D'Agostino G.
JournalInternational Journal of Critical Infrastructures
Volume8
Pagination354-367
ISSN14753219
KeywordsAdjacency matrices, Bulk power systems, Cascading failures, Complex networks, Eigen-value, Eigenvalues and eigenfunctions, Electric network analysis, Electric power systems, Epidemic threshold, High voltage power, Inter-dependencies, Laplacian eigenvalues, Network design problems, Power grids, Power networks, Real power, Spectral patterns, Spectrum Analysis, Synchronization, Technological networks
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. Copyright © 2012 Inderscience Enterprises Ltd.

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cited By 3

URLhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84868256209&doi=10.1504%2fIJCIS.2012.050109&partnerID=40&md5=6893f8cb48f1e49426e44adb0b39630a
DOI10.1504/IJCIS.2012.050109
Citation KeyFioriti2012354