Searching for small-world and scale-free behaviour in long-term historical data of a real-world power grid

In this paper the authors use the 70-year-long historical dataset of the Hungarian power grid to perform complex network analysis, which is the first attempt to evaluate small-world and scale-free properties on long-term real-world data.

[1]  Réka Albert,et al.  Structural vulnerability of the North American power grid. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Ake J Holmgren,et al.  Using Graph Models to Analyze the Vulnerability of Electric Power Networks , 2006, Risk analysis : an official publication of the Society for Risk Analysis.

[3]  Martí Rosas-Casals,et al.  Robustness of the European power grids under intentional attack. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Vittorio Rosato,et al.  Topological properties of high-voltage electrical transmission networks , 2007 .

[5]  Ricard V. Solé,et al.  Topological Vulnerability of the European Power Grid under Errors and Attacks , 2007, Int. J. Bifurc. Chaos.

[6]  Charles Kim,et al.  Vulnerability Assessment of Power Grid Using Graph Topological Indices , 2007 .

[7]  Ke Sun,et al.  Complex Networks Theory: A New Method of Research in Power Grid , 2005, 2005 IEEE/PES Transmission & Distribution Conference & Exposition: Asia and Pacific.

[8]  Anna Scaglione,et al.  Generating Statistically Correct Random Topologies for Testing Smart Grid Communication and Control Networks , 2010, IEEE Transactions on Smart Grid.

[9]  H E Stanley,et al.  Classes of small-world networks. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[10]  K. Gurney,et al.  Network ‘Small-World-Ness’: A Quantitative Method for Determining Canonical Network Equivalence , 2008, PloS one.

[11]  Anna Scaglione,et al.  The Node Degree Distribution in Power Grid and Its Topology Robustness under Random and Selective Node Removals , 2010, 2010 IEEE International Conference on Communications Workshops.

[12]  Andrés Ramos Galán,et al.  Analysis of transmission-power-grid topology and scalability, the European case study , 2018 .

[13]  Sriram Vishwanath,et al.  Analytical Models for Power Networks: The Case of the Western U.S. and ERCOT Grids , 2012, IEEE Transactions on Smart Grid.

[14]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[15]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[16]  Aaron Clauset,et al.  Scale-free networks are rare , 2018, Nature Communications.

[17]  Pingping Han,et al.  Analysis of Cascading Failures in Small-world Power Grid , 2011 .

[18]  Mark E. J. Newman,et al.  Power-Law Distributions in Empirical Data , 2007, SIAM Rev..

[19]  Agata Fronczak,et al.  Average path length in random networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Jie Wu,et al.  Small Worlds: The Dynamics of Networks between Order and Randomness , 2003 .

[21]  Marco Aiello,et al.  Towards Decentralization: A Topological Investigation of the Medium and Low Voltage Grids , 2011, IEEE Transactions on Smart Grid.

[22]  Petter Holme,et al.  Rare and everywhere: Perspectives on scale-free networks , 2019, Nature Communications.

[23]  Zhu Fang,et al.  The Improvement of the Small-world Network Model and Its Application Research in Bulk Power System , 2006, 2006 International Conference on Power System Technology.

[24]  D. Watts,et al.  Small Worlds: The Dynamics of Networks between Order and Randomness , 2001 .

[25]  Lubos Buzna,et al.  The evolution of the topology of high-voltage electricity networks , 2009, Int. J. Crit. Infrastructures.

[26]  E. C. Wit,et al.  How rare are power-law networks really? , 2020, Proceedings of the Royal Society A.

[27]  Martí Rosas-Casals,et al.  Assessing European power grid reliability by means of topological measures , 2009 .

[28]  Massimo Marchiori,et al.  A topological analysis of the Italian electric power grid , 2004 .

[29]  Brian Cloteaux,et al.  Limits in modeling power grid topology , 2013, 2013 IEEE 2nd Network Science Workshop (NSW).

[30]  Christian Posse,et al.  Evaluating North American Electric Grid Reliability Using the Barabasi-Albert Network Model , 2004, nlin/0408052.