Hybrid Differential Evolution for Power Economic Dispatch Problems Considering the Incorporated Cost Model

Abstract:

This paper presents an effective algorithm to solve power economic dispatch (PED) problems considering incorporated cost model of valve-point effects and multiple fuels. The proposed algorithm integrates the hybrid differential evolution (HDE) and the multiplier updating (MU). Few PED problems related studies have seldom addressed both valve-point loadings and change fuels. To show the advantages of the proposed algorithm, was employed to test PED problems with one test system considering the incorporated cost model. Additionally, the proposed algorithm was compared with the differential evolution (DE), revealing that the proposed method is more effective and efficient than the DE in application of power system.

• Periodical: Applied Mechanics and Materials (Volume 302)
• Pages: 782-786
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.302.782
• Online since: February 2013
• Authors: Chao Lung Chiang
• Keywords: Economic Dispatch, Multiple Fuels, Valve-Point Effects

References

[1] D. C. Walters, G. B. Sheble Genetic algorithm solution of economic dispatch with valve point loading, IEEE Trans. Power Syst., Vol. 8, No. 3, (1993) 1325-1332.

DOI: 10.1109/59.260861

[2] S. Ninha, R. Chakrabarti, P. K. Chattopadhyay Evolutionary programming techniques for economic load dispatch, IEEE Evol. Comput., Vol. 7, No. 1, (2003) 83-94.

DOI: 10.1109/tevc.2002.806788

[3] K. Meng, H. G. Wang, Z. Y. Dong, K. P. Wo Quantum-Inspired Particle Swarm Optimization for Valve-Point Economic Load Dispatch, IEEE Trans. Power Syst., Vol. 25, No. 1, (2010) 215-222.

DOI: 10.1109/tpwrs.2009.2030359

[4] A. J. Wood, B. F. Wollenberg Power generation, operation, and control, New York: Wiley & Sons, the 2nd ed., (1996).

[5] W. Sa-ngiamvibool, S. Pothiya, I. Ngamroo Multiple tabu search algorithm for economic dispatch problem considering valve-point effects, Electrical Power and Energy Systems, Vol. 33, (2011) 846-854.

DOI: 10.1016/j.ijepes.2010.11.011

[6] T. Niknam, H. D. Mojarrad, H. Z. Meymand A novel hybrid particle swarm optimization for economic dispatch with valve-point loading effects, Energy Conversion and Management, Vol. 52, (2011) 1800- 1809.

DOI: 10.1016/j.enconman.2010.11.004

[7] J. S. Alsumait, J. K. Sykulski, A. K. Al-Othman A hybrid GA-PS-SQP method to solve power system valve-point economic dispatch problems, Applied Energy, Vol. 87, (2010) 1773-1781.

DOI: 10.1016/j.apenergy.2009.10.007

[8] C. E. Lin, G. L. Viviani Hierarchical economic dispatch for piecewise quadratic cost functions, IEEE Trans. Power App. Syst., Vol. 103, No. 6, (1984) 1170-1175.

DOI: 10.1109/tpas.1984.318445

[9] B. C. Satish, S. T. Mabu, R. A. Srinivasa, K. Vaisakh Comparison of two soft computing techniques for economic dispatch with piece wise quadratic cost function, proceedings of the 2012 International Conference on Advances in Engineering, Science and Management (ICAESM), (2012).

[10] K. Y. Lee, A. Sode-Yome, J. H. Park Economic dispatch using an efficient real-coded genetic algorithm, IET, Generation, Transmission & Distribution, Vol. 3, No. 3, (2009) 266-278.

DOI: 10.1049/iet-gtd:20080469

[11] T. Jayabarathi, G. Sadasivam Evolutionary programming-Based economic dispatch for units with multiple fuel options, European Trans. on Electrical Power, Vol. 10, No. 3, (2000) 167- 170.

DOI: 10.1002/etep.4450100307

[12] C. L. Chiang, C. A. Wang Hybrid differential evolution for cogeneration economic dispatch problem, Proceedings of the 2010 International Conference on Machine Learning and Cybernetics (ICMLC), Vol. 3, (2010) 1560-1565.

DOI: 10.1109/icmlc.2010.5580812

[13] Z. Michalewicz, M. Schoenauer Evolutionary algorithms for constrained parameter optimization problems, Evolutionary Computation, Vol. 4, No. 1, (1996) 1-32.

DOI: 10.1162/evco.1996.4.1.1

[14] C. L. Chiang, C. T. Su, F. S. Wang Augmented Lagrangian method for evolutionary optimization of mixed-integer nonlinear constrained problems, Intern. Math. J., Vol. 2, No. 2, (2002) 119-154.

[15] C. L. Chiang Genetic-Based algorithm for economic load dispatch, IET, Generation, Transmission & Distribution, Vol. 1, No. 2, (2007) 261-269.

DOI: 10.1049/iet-gtd:20060130