Solution to economic dispatch problem with valve-point loading effect by using catfish PSO algorithm

Abstract

This paper proposes application of a catfish particle swarm optimization (PSO) algorithm to economic dispatch (ED) problems. The ED problems considered in this paper include valve-point loading effect, power balance constraints, and generator limits. The conventional PSO and catfish PSO algorithms are applied to three different test systems and the solutions obtained are compared with each other and with those reported in literature. The comparison of solutions shows that catfish PSO outperforms the conventional PSO and other methods in terms of solution quality though there is a slight increase in computational time.

Keywords

economic dispatch (ED) / valve point loading / catfish particle swarm optimization (PSO) / optimization

参考文献

[1] Wood A J, Wollenberg B F. Power generation Operation, and Control. 2nd. Wiley, 1996, 96

[2] Dodu J C, Martin P, Merlin A, Pouget J. An optimal formulation and solution of short-range operating problems for a power system with flow constraints. Proceedings of the IEEE, 1972, 60(1): 54–63

[3] Chen C L, Wang S C. Branch-and-bound scheduling for thermal generating units. IEEE Transactions on Energy Conversion, 1993, 8(2): 184–189

[4] Parikh J, Chattopadhyay D. A multi-area linear programming approach for analysis of economic operation of the Indian power system. IEEE Transactions on Power Systems, 1996, 11(1): 52– 58

[5] Nabona N, Freris L L. Optimisation of economic dispatch through quadratic and linear programming. Proceedings of the Institution of Electrical Engineers, 1973, 120(5): 574–580

[6] 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

[7] Kumar S, Naresh R. Nonconvex economic load dispatch using an efficient real-coded genetic algorithm. Applied Soft Computing, 2009, 9(1): 321–329

[8] Sa-ngiamvibool W, Pothiya S, Ngamroo I. Multiple tabu search algorithm for economic dispatch problem considering valve-point effects. International Journal of Electrical Power & Energy Systems, 2011, 33(4): 846–854

[9] Su C T, Lin C T. New approach with a Hopfield modeling framework to economic dispatch. IEEE Transactions on Power Systems, 2000, 15(2): 541–545

[10] Pothiya S, Ngamroo I, Kongprawechnon W. Ant colony optimisation for economic dispatch problem with non-smooth cost functions. International Journal of Electrical Power & Energy Systems, 2010, 32(5): 478–487

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

[12] Jayabarathi T, Bahl P, Ohri H, Yazdani A, Ramesh V. A hybrid BFA-PSO algorithm for economic dispatch with valve-point effects. Frontiers in Energy, 2012, 6(2): 155–163

[13] Kennedy J, Eberhart R. Particle swarm optimization. In: Proceedings of 1995 IEEE International Conference on Neural Networks. Perth, Australia, 1995, 1942–1948

[14] Chuanwen J, Bompard E. A self-adaptive chaotic particle swarm algorithm for short term hydroelectric system scheduling in deregulated environment. Energy Conversion and Management, 2005, 46(17): 2689–2696

[15] Selvakumar A I, Thanushkodi K. A new particle swarm optimization solution to nonconvex economic dispatch problems. IEEE Transactions on Power Systems, 2007, 22(1): 42–51

[16] Yang X S, Sadat Hosseini S S, Gandomi A H. Firefly Algorithm for solving non-convex economic dispatch problems with valve loading effect. Applied Soft Computing, 2012, 12(3): 1180–1186

[17] Wang L, Li L P. An effective differential harmony search algorithm for the solving non-convex economic load dispatch problems. International Journal of Electrical Power & Energy Systems, 2013, 44(1): 832–843

[18] Zare K, Haque M T, Davoodi E. Solving non-convex economic dispatch problem with valve point effects using modified group search optimizer method. Electric Power Systems Research, 2012, 84(1): 83–89

[19] Victoire T A A, Jeyakumar A E. Hybrid PSO–SQP for economic dispatch with valve-point effect. Electric Power Systems Research, 2004, 71(1): 51–59

[20] Meng K, Wang H G, Dong Z, Wong K P. Quantum-inspired particle swarm optimization for valve-point economic load dispatch. IEEE Transactions on Power Systems, 2010, 25(1): 215–222

[21] Chuang L Y, Tsai S W, Yang C H. Catfish particle swarm optimization. In: 2008 IEEE Swarm Intelligence Symposium. Missouri, USA, 2008, 1–5

Acknowledgments

The authors are extremely grateful to the Chancellor, Vice-chancellor and Vice-presidents of the VIT University, Vellore, for providing the excellent infrastructure facilities and encouragement which have made this research work possible. Special thanks to Ms. Padma, DEO for her support and encouragement to do this work.

版权

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg