OPTIMIZATION OF PIECEWISE NON-LINEAR MULTI CONSTRAINED ECONOMIC POWER DISPATCH PROBLEM USING AN IMPROVED GENETIC ALGORITHM

Authors

  • B. Padmanabhan
  • R. S. SivaKumar
  • J. Jasper

DOI:

https://doi.org/10.47839/ijc.9.4.725

Keywords:

Economic load Dispatch, Genetic Algorithm, Valve-point loading, Ramp rate limits, Roulette selection.

Abstract

In this paper, a more realistic formulation of the Economic Dispatch problem is proposed, which considers practical constraints and non linear characteristics. The proposed ED formulation includes ramp rate limits, valve loading effects, equality and inequality constraints, which usually are found simultaneously in realistic power systems. This paper presents a novel Genetic Algorithm to solve the economic load dispatch (ELD) problem of thermal generators of a power system. This method provides an almost global optimal solution, since they don’t get stuck at local optimum. The proposed method and its variants are validated for the two test systems consisting of 3 and 10 thermal units whose incremental fuel cost functions takes into account the valve-point loading effects.

References

A. J. Wood and B. F. Wollenberg. Power generation, Operation and Control. New York: Wiley, 1994.

C. E. Lin and G. L. Viviani. Hierarchical economic dispatch for piecewise quadratic cost functions. IEEE Trans. Power App.Syst., June 1984. Vol. PAS-103, No. 6, pp. 1170-1175.

S. Granville. Optimal reactive dispatch through interior points methods. in Proc, IEEE Summer Meeting, Seattle, WA, 1992, Paper No. 92 SM 416-8 PWRS.

Z. X. Liang and J. D. Glover. A zoom feature for a programming solution to economic dispatch including transmission losses. IEEE Trans.Power Syst., Aug 1992. Vol. 7, No. 3, pp. 544-550.

A. G. Bakirtzis, P. N. Biskas, C. E. Zoumas, and V. Petridis. Optimal power flow by enchanced genetic algorithm. IEEE Trans. Power systems, May 2002, Vol. 17, No. 2, pp. 229-236.

J. Yurevich and K. P. Wong. Evolutionary programming based optimal power flow algorithms. IEEE Trans. Power Syst., November 1999, Vol. 14, No. 4, pp. 1245-250.

T. Kulworawanichpong and S. Sujitjorn. Optimal power flow using Tabu search. IEEE Power Engineering Review, June 2002, Vol. 22, pp. 37-40.

M. A. Abido. Optimal power flow using tabu search algorithm. Electric Power Components and Systems, May 2002, Vol. 30, No. 5, pp. 469-483.

N. Sinha, R. Chakrabarti, and P. K. Chattopadhyay. Evolutionary programming techniques for economic load dispatch. IEEE Trans.Evol.Comput., Feb. 2003, Vol. 7, No. 1, pp.83-94.

H. T. Yang, P. C. Yang and C. L. Huang. Evolutionary programming based Economic Dispatch for units with non-smooth fuel cost functions. IEEE Trans. Power Systems, Feb. 1996, Vol. 11, No. 1, pp. 112-118.

D. E. Goldberg. Genetic Algorithm in Search, Optimization and Machine learning. Reading MA: Addison-Wesley, 1989.

C. T. Su, C. T. Lin. New Approach with a Hopfield modeling framework to economic dispatch of power system. IEEE Transactions Power Systems, 15(2) (2000) 541-545.

C. S. Chang, and W. Fu. Stochastic multiobjective generation dispatch of combined heat and power system. IEEE proceedings-Generation, Transmission and Distribution, 1998, Vol. 145 (5), pp. 583-591.

A. El-Gallad, M. El-Hawary, A. Sallam, A. Kalas. Swarm intelligence for hybrid cost dispatch problem. Canadian Conf. on Electrical and Computer Engineering, 13-16 May 2001, Vol. 2, pp. 753-757.

W. Lin, F. Cheng, M. Tsay. Nonconvex Economic Dispatch by Integrated Artificial Intelligence. IEEE Trans. on Power Systems, May 2001, Vol. 16, No. 2, pp. 307-311.

J. Park, S. Yang, K. Mun, H. Lee, J. Jung. An application of evolutionary computations to economic load dispatch with piecewise quadratic cost functions. The 1998 IEEE International Conference on Evolutionary Computation, 4-9 May 1998, Vol. 8, No. 3, pp. 289-294.

K. Y. Lee, A. Sode Yone, J. Ho Park. Adaptive Hopfield Neural Networks for Economic Load Dispatch. IEEE Trans. on Power Systems, May 1998, Vol. 13, No. 2, pp. 519-526.

IEEE Committee Report. Present Practices in the Economic Operation of Power Systems. IEEE Transactions on Power Apparatus and Systems, Vol. PAS-90, July/August 1971, pp. 1768-1775.

D. C. Walters, G. B. Sheble. Genetic algorithm solution of economic dispatch with valve point loading. IEEE Trans. Power Systems, August 1993, Vol. 8, No. 3, pp. 1325-1332.

K. Wong, Y. Wong. Genetic and genetic/simulated-annealing approaches to economic dispatch. IEEE Proceedings Gener., Trans. and Distr., Sep 1994, Vol. 141, No. 5, pp. 507-513.

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Published

2010-12-20

How to Cite

Padmanabhan, B., SivaKumar, R. S., & Jasper, J. (2010). OPTIMIZATION OF PIECEWISE NON-LINEAR MULTI CONSTRAINED ECONOMIC POWER DISPATCH PROBLEM USING AN IMPROVED GENETIC ALGORITHM. International Journal of Computing, 9(4), 320-326. https://doi.org/10.47839/ijc.9.4.725

Issue

2010, Volume 9, Issue 4

Section

Articles

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