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Random matrix theory models of electric grid topology

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  • Marvel, K.
  • Agvaanluvsan, U.

Abstract

The random matrix theory is useful in the study of large systems such as electric grids. These transmission systems can be modeled as complex networks, with high-voltage lines the edges that connect nodes representing power plants and substations. We draw upon established literature of complex systems theory and introduce methods from nuclear and statistical physics to identify new characteristics of these networks. We show that most grids can be characterized by the Gaussian Orthogonal Ensemble, an indicator of chaos in many complex systems. Under certain circumstances, however, grids may be described by Poisson statistics, an indicator of regularity. We use the random matrix formalism to describe the interconnection of multiple grids and construct a simple model of a distributed grid.

Suggested Citation

  • Marvel, K. & Agvaanluvsan, U., 2010. "Random matrix theory models of electric grid topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5838-5851.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:24:p:5838-5851
    DOI: 10.1016/j.physa.2010.08.009
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    References listed on IDEAS

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    1. Vasiliki Plerou & Parameswaran Gopikrishnan & Bernd Rosenow & Luis A. Nunes Amaral & H. Eugene Stanley, 1999. "Universal and non-universal properties of cross-correlations in financial time series," Papers cond-mat/9902283, arXiv.org.
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    Cited by:

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    2. Zhang, Chao & Xu, Xin & Dui, Hongyan, 2020. "Resilience Measure of Network Systems by Node and Edge Indicators," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    3. Raghav, Tanu & Jalan, Sarika, 2022. "Random matrix analysis of multiplex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).

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    Keywords

    Random matrices; Complex networks;

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