Optimal intentional islanding to enhance the robustness of power grid networks

Intentional islanding of a power system can be an emergency response for isolating failures that might propagate and lead to major disturbances. Some of the islanding techniques suggested previously do not consider the power flow model; others are designed to minimize load shedding only within the islands. Often these techniques are computationally expensive. We aim to find approaches to partition power grids into islands to minimize the load shedding not only in the region where the failures start, but also in the topological complement of the region. We propose a new constraint programming formulation for optimal islanding in power grid networks. This technique works efficiently for small networks but becomes expensive as size increases. To address the scalability problem, we propose two grid partitioning methods based on modularity, properly modified to take into account the power flow model. They are modifications of the Fast Greedy algorithm and the Bloom algorithm, and are polynomial in running time. We tested these methods on the available IEEE test systems. The Bloom type method is faster than the Fast Greedy type, and can potentially provide results in networks with thousands of nodes. Our methods provide solutions which retain at least 40–50% of the system load. Overall, our methods efficiently balance load shedding and scalability.

[1]  V. Vittal,et al.  Slow coherency-based islanding , 2004, IEEE Transactions on Power Systems.

[2]  Ian Dobson,et al.  Cascading dynamics and mitigation assessment in power system disturbances via a hidden failure model , 2005 .

[3]  M E J Newman,et al.  Modularity and community structure in networks. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[4]  J.K. Nelson,et al.  Time optimal load shedding for distributed power systems , 2006, IEEE Transactions on Power Systems.

[5]  H. Bevrani,et al.  An intelligent based power system load shedding design using voltage and frequency information , 2010, Proceedings of the 2010 International Conference on Modelling, Identification and Control.

[6]  Caterina M. Scoglio,et al.  Bloom: A stochastic growth-based fast method of community detection in networks , 2012, J. Comput. Sci..

[7]  Andreas Grothey,et al.  MILP formulation for controlled islanding of power networks , 2013 .

[8]  Panos M. Pardalos,et al.  A mixed integer programming approach for optimal power grid intentional islanding , 2012, Energy Systems.

[9]  Ibrahim Abou Hamad,et al.  Floridian high-voltage power-grid network partitioning and cluster optimization using simulated annealing , 2011, ArXiv.

[10]  David K. Smith Network Flows: Theory, Algorithms, and Applications , 1994 .

[11]  Andreas Grothey,et al.  MILP formulation for islanding of power networks , 2012 .

[12]  Santo Fortunato,et al.  Community detection in graphs , 2009, ArXiv.

[13]  G.T. Heydt,et al.  Slow-Coherency-Based Controlled Islanding—A Demonstration of the Approach on the August 14, 2003 Blackout Scenario , 2006, IEEE Transactions on Power Systems.

[14]  Kai Sun,et al.  A study of system splitting strategies for island operation of power system: a two-phase method based on OBDDs , 2003 .

[15]  M. Newman,et al.  Finding community structure in very large networks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Kai Sun,et al.  Splitting strategies for islanding operation of large-scale power systems using OBDD-based methods , 2003 .

[17]  R. Moreno,et al.  Security of the power system based on the separation into islands , 2011, 2011 IEEE PES CONFERENCE ON INNOVATIVE SMART GRID TECHNOLOGIES LATIN AMERICA (ISGT LA).

[18]  Wenxin Liu,et al.  Binary Particle Swarm Optimization Based Defensive Islanding Of Large Scale Power Systems , 2007, Int. J. Comput. Sci. Appl..

[19]  Hong Liu,et al.  Generative design supported by evolutionary computing approach , 2007, Int. J. Comput. Appl. Technol..

[20]  M E J Newman,et al.  Fast algorithm for detecting community structure in networks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Ravindra K. Ahuja,et al.  Network Flows: Theory, Algorithms, and Applications , 1993 .

[22]  Jing Xu,et al.  A New Islanding Boundary Searching Approach Based on Slow Coherency and Graph Theoretic , 2008, 2008 Fourth International Conference on Natural Computation.

[23]  P. Hines,et al.  Reciprocally altruistic agents for the mitigation of cascading failures in electrical power networks , 2008, 2008 First International Conference on Infrastructure Systems and Services: Building Networks for a Brighter Future (INFRA).

[24]  M. El-werfelli,et al.  Controlled island ng scheme for power systems , 2008, 2008 43rd International Universities Power Engineering Conference.

[25]  Ding Xu,et al.  Optimal load shedding strategy in power systems with distributed generation , 2001, 2001 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.01CH37194).

[26]  Svetlana V. Poroseva,et al.  Spectral matrix methods for partitioning power grids: Applications to the Italian and Floridian high-voltage networks , 2010, 1003.2191.

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

[28]  V. Vittal,et al.  Self-Healing in Power Systems: An Approach Using Islanding and Rate of Frequency Decline Based Load Shedding , 2002, IEEE Power Engineering Review.

[29]  Goran Andersson,et al.  Mitigation of cascading failures by real-time controlled islanding and graceful load shedding , 2010, 2010 IREP Symposium Bulk Power System Dynamics and Control - VIII (IREP).

[30]  V. Vittal,et al.  System islanding using minimal cutsets with minimum net flow , 2004, IEEE PES Power Systems Conference and Exposition, 2004..

[31]  Sakshi Pahwa,et al.  Topological Analysis and Mitigation Strategies for Cascading Failures in Power Grid Networks , 2012, ArXiv.

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

[33]  M E J Newman,et al.  Finding and evaluating community structure in networks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.