Power grids, smart grids and complex networks

We present some possible Complex Networks approaches to study and understand Power Grids and to improve them into Smart Grids . We first sketch the general properties of the Electric System with an attention to the effects of Distributed Generation. We then analyse the effects of renewable power sources on Voltage Controllability. Afterwords, we study the impact of electric line overloads on the nature of Blackouts. Finally, we discuss the possibility of implementing Self Healing capabilities into Power Grids through the use of Routing Protocols.

[1]  Wenbo Zhao,et al.  PageRank and Random Walks on Graphs , 2010 .

[2]  Florian Dörfler,et al.  Synchronization and transient stability in power networks and non-uniform Kuramoto oscillators , 2009, Proceedings of the 2010 American Control Conference.

[3]  V. E. Lynch,et al.  Critical points and transitions in an electric power transmission model for cascading failure blackouts. , 2002, Chaos.

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

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

[6]  Sakshi Pahwa,et al.  Robustness measure for power grids with respect to cascading failures , 2011, Cnet@ITC.

[7]  Gary W. Chang,et al.  Power System Analysis , 1994 .

[8]  Jurgen Kurths,et al.  Synchronization in complex networks , 2008, 0805.2976.

[9]  Harry Eugene Stanley,et al.  Catastrophic cascade of failures in interdependent networks , 2009, Nature.

[10]  Sergey Brin,et al.  The Anatomy of a Large-Scale Hypertextual Web Search Engine , 1998, Comput. Networks.

[11]  Guido Caldarelli,et al.  Self-Healing Networks: Redundancy and Structure , 2013, PloS one.

[12]  David Bruce Wilson,et al.  Generating random spanning trees more quickly than the cover time , 1996, STOC '96.

[13]  G. Filatrella,et al.  Analysis of a power grid using a Kuramoto-like model , 2007, 0705.1305.

[14]  Albert-László Barabási,et al.  Controllability of complex networks , 2011, Nature.

[15]  James P. Peerenboom,et al.  Identifying, understanding, and analyzing critical infrastructure interdependencies , 2001 .

[16]  Lucas Antiqueira,et al.  Analyzing and modeling real-world phenomena with complex networks: a survey of applications , 2007, 0711.3199.

[17]  Allen J. Wood,et al.  Power Generation, Operation, and Control , 1984 .

[18]  G. W. Stagg,et al.  Computer methods in power system analysis , 1968 .

[19]  Ian Dobson,et al.  An initial model fo complex dynamics in electric power system blackouts , 2001, Proceedings of the 34th Annual Hawaii International Conference on System Sciences.

[20]  Sergey N. Dorogovtsev,et al.  Critical phenomena in complex networks , 2007, ArXiv.

[21]  Alessandro Vespignani,et al.  Dynamical Processes on Complex Networks , 2008 .

[22]  Bhaskar Krishnamachari,et al.  Energy routing on the future grid: A stochastic network optimization approach , 2010, 2010 International Conference on Power System Technology.

[23]  A. Azzalini The Skew‐normal Distribution and Related Multivariate Families * , 2005 .

[24]  Thomas A. Johnson,et al.  Homeland Security Presidential Directive-1 , 2007 .

[25]  Alessandro Vespignani,et al.  Complex dynamic networks: Tools and methods , 2012, Comput. Networks.

[26]  César A. Hidalgo,et al.  Scale-free networks , 2008, Scholarpedia.

[27]  Vittorio Rosato,et al.  Stability of a Distributed Generation Network Using the Kuramoto Models , 2008, CRITIS.

[28]  Sakshi Pahwa,et al.  Topological analysis of the power grid and mitigation strategies against cascading failures , 2010, 2010 IEEE International Systems Conference.

[29]  O. Alsaç,et al.  DC Power Flow Revisited , 2009, IEEE Transactions on Power Systems.

[30]  Thomas A. Johnson,et al.  Homeland Security Presidential Directive/HSPD-12 , 2007 .

[31]  Guido Caldarelli,et al.  Distributed Generation and Resilience in Power Grids , 2012, CRITIS.

[32]  M. L. Sachtjen,et al.  Disturbances in a power transmission system , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[33]  R. Pastor-Satorras,et al.  Activity driven modeling of time varying networks , 2012, Scientific Reports.

[34]  Roberto Setola,et al.  Critical Information Infrastructure Security, Third International Workshop, CRITIS 2008, Rome, Italy, October 13-15, 2008. Revised Papers , 2009, Critical Information Infrastructures Security.