Firefly Algorithm for Economic Power Dispatching With Pollutants Emission

Bio-inspired algorithms become among the most powerful algorithms for optimization. In this paper, we intend to provide one of the recent bio-inspired metaheuristic which is the Firefly Algorithm (FF) to optimize power dispatching. For evaluation, we adapt the particle swarm optimization to the problem in the same way as the firefly algorithm. The application is done in an IEEE-14 and on two thermal plant networks. In one of the examples, we neglect power loss and pollutant emissions. The comparison with the particle swarm optimization (PSO), demonstrate the efficiency of firefly algorithm to reach the best cost in less than one second.

[1]  Mostefa Rahli,et al.  Optimal load flow using sequential unconstrained minimization technique (SUMT) method under power transmission losses minimization , 1999 .

[2]  P. Sriyanyong,et al.  Solving economic dispatch using Particle Swarm Optimization combined with Gaussian mutation , 2008, 2008 5th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology.

[3]  Lixiang Li,et al.  CHAOTIC PARTICLE SWARM OPTIMIZATION FOR ECONOMIC DISPATCH CONSIDERING THE GENERATOR CONSTRAINTS , 2007 .

[4]  A.H. Mantawy,et al.  A new tabu search algorithm for the long-term hydro scheduling problem , 2002, LESCOPE'02. 2002 Large Engineering Systems Conference on Power Engineering. Conference Proceedings.

[5]  Hong-Tzer Yang,et al.  Evolutionary programming based economic dispatch for units with non-smooth fuel cost functions , 1996 .

[6]  Xin-She Yang,et al.  Firefly Algorithms for Multimodal Optimization , 2009, SAGA.

[7]  Mostafa A. Elshahed,et al.  Dynamic Economic Dispatch Constrained by Wind Power Weibull Distribution: A Here-and-Now Strategy , 2011 .

[8]  Lingfeng Wang,et al.  Reserve-constrained multiarea environmental/economic dispatch based on particle swarm optimization with local search , 2009, Eng. Appl. Artif. Intell..

[9]  Zhao Bo,et al.  Multiple objective particle swarm optimization technique for economic load dispatch , 2005 .

[10]  Xin-She Yang,et al.  Firefly Algorithm, Lévy Flights and Global Optimization , 2010, SGAI Conf..

[11]  N. Chai-ead,et al.  Simulated Manufacturing Process Improvement via Particle Swarm Optimisation and Firefly Algorithms , 2011 .

[12]  A. Selvakumar,et al.  A New Particle Swarm Optimization Solution to Nonconvex Economic Dispatch Problems , 2007, IEEE Transactions on Power Systems.

[13]  Leandro dos Santos Coelho,et al.  Economic dispatch optimization using hybrid chaotic particle swarm optimizer , 2007, 2007 IEEE International Conference on Systems, Man and Cybernetics.

[14]  G. Sheblé,et al.  Genetic algorithm solution of economic dispatch with valve point loading , 1993 .

[15]  Leandro dos Santos Coelho,et al.  Solving economic load dispatch problems in power systems using chaotic and Gaussian particle swarm optimization approaches , 2008 .

[16]  Peter B. Luh,et al.  Hydroelectric generation scheduling with an effective differential dynamic programming algorithm , 1990 .

[17]  June Ho Park,et al.  Adaptive Hopfield neural networks for economic load dispatch , 1998 .

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

[19]  Cao Yijia,et al.  Multiple objective particle swarm optimization technique for economic load dispatch , 2005 .

[20]  R.-H. Liang,et al.  Scheduling of hydroelectric generations using artificial neural networks , 1994 .

[21]  Whei-Min Lin,et al.  An Improved Tabu Search for Economic Dispatch with Multiple Minima , 2002, IEEE Power Engineering Review.

[22]  J. Sharma,et al.  Short term hydro scheduling using two-phase neural network , 2002 .

[23]  J. Waight,et al.  Experiences with Mixed Integer Linear Programming-Based Approaches in Short-Term Hydro Scheduling , 2001, IEEE Power Engineering Review.

[24]  C. Samudi,et al.  Hydro thermal scheduling using particle swarm optimization , 2008, 2008 IEEE/PES Transmission and Distribution Conference and Exposition.

[25]  Yanbin Yuan,et al.  A hybrid chaotic genetic algorithm for short-term hydro system scheduling , 2002, Math. Comput. Simul..

[26]  Y. H. Song,et al.  Large-Scale Economic Dispatch by Artificial Ant Colony Search Algorithms , 1999 .

[27]  Isamu Watanabe,et al.  Lagrangian relaxation method for price-based unit commitment problem , 2004 .

[28]  J. Garcia-Gonzalez,et al.  Short-term hydro scheduling with cascaded and head-dependent reservoirs based on mixed-integer linear programming , 2001, 2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502).

[29]  C. Sagastizábal,et al.  Solving the unit commitment problem of hydropower plants via Lagrangian Relaxation and Sequential Quadratic Programming , 2005 .

[30]  S. J. Huang,et al.  Enhancement of Hydroelectric Generation Scheduling Using Ant Colony System-Based Optimization Approaches , 2001, IEEE Power Engineering Review.

[31]  Slawomir Zak,et al.  Firefly Algorithm for Continuous Constrained Optimization Tasks , 2009, ICCCI.

[32]  Narayana Prasad Padhy,et al.  Comparison and application of evolutionary programming techniques to combined economic emission dispatch with line flow constraints , 2003 .

[33]  Simona Dzitac,et al.  A Swarm Intelligence Approach to the Power Dispatch Problem , 2010, Int. J. Comput. Commun. Control.

[34]  C. Singh,et al.  Reserve-Constrained Multiarea Environmental/Economic Dispatch Using Enhanced Particle Swarm Optimization , 2006, 2006 IEEE Systems and Information Engineering Design Symposium.

[35]  Xin-She Yang,et al.  Firefly algorithm, stochastic test functions and design optimisation , 2010, Int. J. Bio Inspired Comput..

[36]  Xiaohui Yuan,et al.  Short-term hydro-thermal scheduling using particle swarm optimization method , 2007 .

[37]  Sakti Prasad Ghoshal,et al.  A novel crazy swarm optimized economic load dispatch for various types of cost functions , 2008 .

[38]  Y. W. Wong,et al.  Genetic and genetic/simulated-annealing approaches to economic dispatch , 1994 .

[39]  Suyanto,et al.  Evolutionary Discrete Firefly Algorithm for Travelling Salesman Problem , 2011, ICAIS.

[40]  J. J. Kumar,et al.  Particle swarm optimization solution to emission and economic dispatch problem , 2003, TENCON 2003. Conference on Convergent Technologies for Asia-Pacific Region.

[41]  M. Sayadi,et al.  A discrete firefly meta-heuristic with local search for makespan minimization in permutation flow shop scheduling problems , 2010 .

[42]  A. Gandomi,et al.  Mixed variable structural optimization using Firefly Algorithm , 2011 .

[43]  G. Sheblé,et al.  Refined genetic algorithm-economic dispatch example , 1995 .

[44]  Anastasios G. Bakirtzis,et al.  Genetic algorithm solution to the economic dispatch problem , 1994 .

[45]  Hong-Chan Chang,et al.  Large-scale economic dispatch by genetic algorithm , 1995 .

[46]  Tsung-Ying Lee.  Short term hydroelectric power system scheduling with wind turbine generators using the multi-pass iteration particle swarm optimization approach , 2008 .

[47]  Y. W. Wong,et al.  Short-term hydrothermal scheduling part. I. Simulated annealing approach , 1994 .

[48]  Ming-Huwi Horng,et al.  The Codebook Design of Image Vector Quantization Based on the Firefly Algorithm , 2010, ICCCI.

[49]  A.G. Exposito,et al.  Short-term hydro-thermal coordination based on interior point nonlinear programming and genetic algorithms , 2001, 2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502).

[50]  K. C. Almeida,et al.  Short term hydrothermal scheduling with bilateral transactions via bundle method , 2007 .

[51]  G. K. Mahanti,et al.  Fire Fly and Artificial Bees Colony Algorithm for Synthesis of Scanned and Broadside Linear Array Antenna , 2011 .

[52]  Javier García-González,et al.  Risk-averse profit-based optimal scheduling of a hydro-chain in the day-ahead electricity market , 2007, Eur. J. Oper. Res..

[53]  Secundino Soares,et al.  A network flow model for short-term hydro-dominated hydrothermal scheduling problems , 1994 .

[54]  Xin-She Yang,et al.  Nature-Inspired Metaheuristic Algorithms , 2008 .

[55]  Malabika Basu,et al.  A simulated annealing-based goal-attainment method for economic emission load dispatch of fixed head hydrothermal power systems , 2005 .

[56]  M. J. Short,et al.  Neural networks approach for solving economic dispatch problem with transmission capacity constraints , 1998 .

[57]  V.M.F. Mendes,et al.  Profit-Based Short-Term Hydro Scheduling considering Head-Dependent Power Generation , 2007, 2007 IEEE Lausanne Power Tech.

[58]  P. K. Chattopadhyay,et al.  Evolutionary programming techniques for economic load dispatch , 2003, IEEE Trans. Evol. Comput..