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Spectral analysis of a real power network

Author

Listed:
  • Vincenzo Fioriti
  • Marino Sforna
  • Gregorio D'Agostino

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.

Suggested Citation

  • Vincenzo Fioriti & Marino Sforna & Gregorio D'Agostino, 2012. "Spectral analysis of a real power network," International Journal of Critical Infrastructures, Inderscience Enterprises Ltd, vol. 8(4), pages 354-367.
    • Handle: RePEc:ids:ijcist:v:8:y:2012:i:4:p:354-367
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    Cited by:

    1. De Nicola, Antonio & Villani, Maria Luisa & Brugnoli, Maria Cristina & D'Agostino, Gregorio, 2016. "A methodology for modeling and measuring interdependencies of information and communications systems used for public administration and eGovernment services," International Journal of Critical Infrastructure Protection, Elsevier, vol. 14(C), pages 18-27.
    2. Pagani, Giuliano Andrea & Aiello, Marco, 2014. "Power grid complex network evolutions for the smart grid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 396(C), pages 248-266.
    3. Goddet, Etienne & Retière, Nicolas & Stojanović, Vojislav & Dieudonné, Anca & Genoulaz, Jérôme & Guichon, Jean-Michel, 2019. "Maximizing the algebraic connectivity of meshed electrical pathways used as current return network," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 158(C), pages 18-31.

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