Hybrid Differential Evolution Based Multi-Objective Approach for Hydrothermal Power Systems

Abstract:

This paper develops a hybrid differential evolution based multi-objective approach for the optimal economic emission dispatch (EED) of the hydrothermal power system (HPS), considering non-smooth fuel cost and emission level functions. The hybrid differential evolution (HDE) equipped with an accelerated operation and a migration operation can efficiently search and actively explore solutions. The multiplier updating (MU) is introduced to handle the equality and inequality constraints of the HPS, and the ε-constraint technique is employed to manage the multi-objective problem. To show the advantages of the proposed algorithm, one example addressing the best compromise is applied to test the EED problem of the HPS. The proposed approach integrates the HDE, the MU and the ε-constraint technique, revealing that the proposed approach has the following merits - ease of implementation; applicability to non-smooth fuel cost and emission level functions; better effectiveness than the previous method; better efficiency than differential evolution (DE) with the MU (DE-MU), and the requirement for only a small population in applying the optimal EED problem of the HPS.

• Periodical: Applied Mechanics and Materials (Volumes 212-213)
• Pages: 1009-1014
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.212-213.1009
• Online since: October 2012
• Authors: Chao Lung Chiang
• Keywords: Differential Evolution, Economic Dispatch, Multi-Objective

References

[1] M.F. Zaghlool and F.C. Trutt, "Efficient methods for optimal scheduling of fixed head hydrothermal power systems", IEEE Trans. PWRS, Vol. 3, No. 1, pp.24-30, (1988)

DOI: 10.1109/59.43176

[2] M. Basu, "Economic environmental dispatch of fixed head hydrothermal power systems using nondominated sorting GA-II", Applied Soft Computing, Vol. 11, pp.3046-3055, (2011)

DOI: 10.1016/j.asoc.2010.12.005

[3] J.G. Lin, "Multi-objective problems: Pareto-optimal solutions by method of proper equality constraints", IEEE Trans. Autom. Control, Vol. 21, No. 5, pp.641-650, (1976)

DOI: 10.1109/tac.1976.1101338

[4] H. Qin, J. Zhou, Y. Lu, Y. Wang and Y. Zhang, "Multi-objective differential evolution with adaptive Cauchy mutation for short-term multi-objective optimal hydro-thermal scheduling", Energy Conversion and Management, Vol. 51, Issue 4, pp.788-794, April (2010)

DOI: 10.1016/j.enconman.2009.10.036

[5] J.P. Chiou and F.S. Wang, "A hybrid method of differential evolution with application to optimal control problems of a bioprocess system", in Proc. IEEE Evolutionary Computation Conf., Vol. 1, pp.627-632, (1998)

DOI: 10.1109/icec.1998.700101

[6] M.J.D. Powell, "Algorithms for nonlinear constraints that use Lagrangian function", Math. Programming, Vol. 14, pp.224-248, (1978)

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