Application of the invasive weed optimization algorithm to economic dispatch problems

Abstract

In this paper the invasive weed optimization algorithm has been applied to a variety of economic dispatch (ED) problems. The ED problem is concerned with minimizing the fuel cost by optimally loading the electrical generators which are committed to supply a given demand. Some involve prohibited operating zones, transmission losses and valve point loading. In general, they are non-linear non-convex optimization problems which cannot be directly solved by conventional methods. In this work the invasive weed algorithm, a meta-heuristic method inspired by the proliferation of weeds, has been applied to four numerical examples and has resulted in promising solutions compared to published results.

Keywords

economic dispatch (ED) / invasive weed optimization / non-convexity / prohibited operating zones (POZ) / valve point loading / meta-heuristic

References

[1] Lee F N, Breipohl A M. Reserve constrained economic dispatch with prohibited operating zones. IEEE Transactions on Power Systems, 1993, 8(1): 246–254

[2] Fan J Y, McDonald J D. A practical approach to real time economic dispatch considering unit's prohibited operating zones. IEEE Transactions on Power Systems, 1994, 9(4): 1737–1743

[3] Orero S O, Irving M R. Economic dispatch of generators with prohibited operating zones: a genetic algorithm approach. IEE Proceedings. Generation, Transmission and Distribution, 1996, 143(6): 529–534

[4] Jayabarathi T, Sadasivam G, Ramachandran V. Evolutionary programming based economic dispatch of generators with prohibited operating zones. Electric Power Systems Research, 1999, 52(3): 261–266

[5] Liang Z X, Glover J D. A zoom feature for a dynamic programming solution to economic dispatch including transmission losses. IEEE Transactions on Power Systems, 1992, 7(2): 544–550

[6] Yang X S, Hosseini S S S, Gandomi A H. Firefly algorithm for solving non-convex economic dispatch problems with valve loading effect. Applied Soft Computing, 2010, 12(3): 1180–1186

[7] Jeyakumar D N, Jayabarathi T, Raghunathan T. Particle swarm optimization for various types of economic dispatch problems. International Journal of Electrical Power & Energy Systems, 2006, 28(1): 36–42

[8] Sinha N, Chakrabarti R, Chattopadhyay P K. Evolutionary programming techniques for economic load dispatch. IEEE Transactions on Evolutionary Computation, 2003, 7(1): 83–94

[9] Mehrabian A R, Lucas C. A novel numerical optimization algorithm inspired from weed colonization. Ecological Informatics, 2006, 1(4): 355–366

[10] Ghosh A, Das S, Chowdhury A, Giri R. An ecologically inspired direct search method for solving optimal control problems with Bézier parameterization. Engineering Applications of Artificial Intelligence, 2011, 24(7): 1195–1203

[11] Mehrabian A R, Yousefi-Koma A. A novel technique for optimal placement of piezoelectric actuators on smart structures. Journal of the Franklin Institute, 2011, 348(1): 12–23

[12] Basak A, Pal S, Das S, Abraham A, Snasel V. A modified invasive weed optimization algorithm for time-modulated linear antenna array synthesis. In: Proceedings of 2010 IEEE Congress on Evolutionary Computation, Barcelona, Spain, 2010, 1–8

[13] Kundu D, Suresh K, Ghosh S, Das S, Panigrahi B K, Das S. Multi-objective optimization with artificial weed colonies. Information Sciences, 2011, 181(12): 2441–2454

[14] Sedighy S H, Mallahzadeh A R, Soleimani M, Rashed-Mohassel J. Optimization of printed yagi antenna using invasive weed optimization (IWO). IEEE Antennas and Wireless Propagation Letters, 2010, 9: 1275–1278

[15] Hajimirsadeghi H, Lucas C. A hybrid IWO/PSO algorithm for fast and global optimization. In: Proceedings of IEEE EUROCON 2009. St. Petersburg, Russia, 2009, 1964–1971

[16] Giri R, Chowdhury A, Ghosh A, Das S, Abraham A, Snasel V. A modified invasive weed optimization algorithm for training of feed- forward neural networks. In: Proceedings of 2010 IEEE International Conference on Systems Man and Cybernetics, Istanbul, Turkey, 2010, 3166–3173

[17] Sharma R, Nayak N, Krishnanand K R, Rout P K. Modified invasive weed optimization with dual mutation technique for dynamic economic dispatch. In: Proceedings of 2011 International Conference on Energy, Automation, and Signal (ICEAS). Bhubaneswar, India, 2011, 1–6

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