Lévy Strategy Based Metaheuristic for Smart Grid

Various events such as the difficulty of constructing new transport’s axes or natural phenomena encourage the Managers of the power systems to operate in their boundary conditions. It results in some unbalanced distribution of loads, provoking thus overloads of some and a reduction of the stability margin of the electrical system. FACTS (Flexible Alternative Current Transmission System ) allow to control transits of potencies in an uninterrupted manner on a network. In this paper, we address the optimal placement and sizing of FACTS problem. We demonstrated that by choosing carefully the number of FACTS, their type, their location in the network and their sizing we perform very well the security of the power grid. In other hand, the results show that Levy Particle Swarm Optimization (PSO) is demonstrated to perform as well, or better, than a standard PSO.

[1]  N. K. Sharma,et al.  A Novel Placement Strategy for FACTS Controllers , 2002, IEEE Power Engineering Review.

[2]  T. Bouktir,et al.  Optimal Location and Control of FACTS Device in Unbalanced Power Systems Using Sequence Compnent , 2006, 2006 IEEE International Conference on Industrial Technology.

[3]  J.R. Cedeno-Maldonado,et al.  Optimal Placement of Facts Controllers in Power Systems via Evolution Strategies , 2006, 2006 IEEE/PES Transmission & Distribution Conference and Exposition: Latin America.

[4]  S. Chanana,et al.  Combined optimal Location of FACTS controllers and loadability enhancement in competitive electricity markets using MILP , 2005, IEEE Power Engineering Society General Meeting, 2005.

[5]  R. Mantegna,et al.  Fast, accurate algorithm for numerical simulation of Lévy stable stochastic processes. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  H. Sasaki,et al.  A New Formulation for FACTS Allocation for Security Enhancement against Voltage Collapse , 2002, IEEE Power Engineering Review.

[7]  Tim M. Blackwell,et al.  The Lévy Particle Swarm , 2006, 2006 IEEE International Conference on Evolutionary Computation.

[8]  J. Huston McCulloch Numerical approximation of the symmetric stable distribution and density , 1998 .

[9]  J. Dréo,et al.  Métaheuristiques pour l'optimisation difficile , 2003 .

[10]  Seema Singh,et al.  Congestion management by optimising FACTS device location , 2000, DRPT2000. International Conference on Electric Utility Deregulation and Restructuring and Power Technologies. Proceedings (Cat. No.00EX382).

[11]  Devender Singh,et al.  GA based Optimal Sizing and Placement of Distributed Generation for Loss Minimization , 2007 .

[12]  Vincent Barichard,et al.  Approches hybrides pour les problèmes multiobjectifs , 2003 .

[13]  Stéphane Gerbex Métaheuristiques appliquées au placement optimal de dispositifs FACTS dans un réseau électrique , 2003 .

[14]  Seyed Abbas Taher,et al.  Congestion management by determining optimal location of TCSC in deregulated power systems , 2008 .

[15]  Maurice Clerc,et al.  Discrete Particle Swarm Optimization, illustrated by the Traveling Salesman Problem , 2004 .

[16]  Weerakorn Ongsakul,et al.  Optimal placement of multi-type FACTS devices by hybrid TS/SA approach , 2003, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03..

[17]  Russell C. Eberhart,et al.  Evolutionary Computation Theory and Paradigms , 2001 .

[18]  Georgios C. Stamtsis,et al.  Optimal choice and allocation of FACTS devices in deregulated electricity market using genetic algorithms , 2004, IEEE PES Power Systems Conference and Exposition, 2004..

[19]  J. Baskaran,et al.  Optimal location of FACTS devices in a power system solved by a hybrid approach , 2006 .

[20]  Maurice Clerc,et al.  The particle swarm - explosion, stability, and convergence in a multidimensional complex space , 2002, IEEE Trans. Evol. Comput..

[21]  M. Saravanan,et al.  Application of particle swarm optimization technique for optimal location of FACTS devices considering cost of installation and system loadability , 2007 .

[22]  J. Hao,et al.  Optimising location of unified power flow controllers by means of improved evolutionary programming , 2004 .

[23]  H. Sasaki,et al.  A comprehensive approach for FACTS devices optimal allocation to mitigate voltage collapse , 2002, IEEE/PES Transmission and Distribution Conference and Exhibition.

[24]  Seema Singh,et al.  Placement of FACTS controllers using modal controllability indices to damp out power system oscillations , 2007 .

[25]  S.J. Cheng,et al.  Optimal Location and Parameters Setting of Unified Power Flow Controller Based on Evolutionary Optimization Techniques , 2007, 2007 IEEE Power Engineering Society General Meeting.

[26]  S. Gerbex,et al.  Optimal Location of Multi-Type FACTS Devices in a Power System by Means of Genetic Algorithms , 2001, IEEE Power Engineering Review.

[27]  Rachid Cherkaoui,et al.  Optimal location of FACTS devices to enhance power system security , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[28]  James Kennedy,et al.  Particle swarm optimization , 1995, Proceedings of ICNN'95 - International Conference on Neural Networks.

[29]  H. F. Wang,et al.  Selection of installing locations and feedback signals of FACTS-based stabilisers in multimachine power systems by reduced-order modal analysis , 1997 .

[30]  E. J. de Oliveira,et al.  Allocation of FACTS devices in hydrothermal systems , 2000 .

[31]  Peerapol Jirapong,et al.  Optimal allocation of FACTS devices to enhance total transfer capability using evolutionary programming , 2005, 2005 IEEE International Symposium on Circuits and Systems.

[32]  P. Venkatesh,et al.  Application of PSO technique for optimal location of FACTS devices considering system loadability and cost of installation , 2005, 2005 International Power Engineering Conference.

[33]  J. M. Ramirez,et al.  A frequency response technique to allocate FACTS devices , 2001, 2001 Power Engineering Society Summer Meeting. Conference Proceedings (Cat. No.01CH37262).

[34]  O Bénichou,et al.  Optimal search strategies for hidden targets. , 2005, Physical review letters.

[35]  R. Bacher,et al.  Steady-state optimization in power systems with series FACTS devices , 2003 .

[36]  M. Rashidinejad,et al.  Optimal Location of STATCOM for Voltage Security Enhancement via Artificial Intelligent , 2006, 2006 IEEE International Conference on Industrial Technology.

[37]  Hiroyuki Mori,et al.  A Hybrid Method of EPSO and TS for FACTS Optimal Allocation in Power Systems , 2006, 2006 IEEE International Conference on Systems, Man and Cybernetics.

[38]  N. Kamaraj,et al.  Optimal Location of Multi Type Facts Devices for Multiple Contingencies Using Particle Swarm Optimization , 2008 .

[39]  Hiroyuki Mori,et al.  A parallel tabu search based method for determining optimal allocation of FACTS in power systems , 2000, PowerCon 2000. 2000 International Conference on Power System Technology. Proceedings (Cat. No.00EX409).

[40]  R. Yokoyama,et al.  Allocation and design of robust TCSC controllers based on power system stability index , 2002, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).

[41]  J.V. Milanovic,et al.  Placement and Tuning of SVCs for the Improvement of Techno-economic Performance of the Network Based on Sequential Number Theoretic Optimization Algorithm , 2006, 2006 IEEE PES Power Systems Conference and Exposition.

[42]  A. Kumar,et al.  Effect of optimally located FACTS devices on active and reactive power price in deregulated electricity markets , 2006, 2006 IEEE Power India Conference.

[43]  T. T. Lie,et al.  Optimal compensation of variable series capacitors for improved economic dispatch in power systems , 1995, Proceedings 1995 International Conference on Energy Management and Power Delivery EMPD '95.