Abstract
This paper presents differential evolution with Gaussian mutation to solve the complex non-smooth non-convex combined heat and power economic dispatch (CHPED) problem. Valve-point loading and prohibited operating zones of conventional thermal generators are taken into account. Differential evolution (DE) is a simple yet powerful global optimization technique. It exploits the differences of randomly sampled pairs of objective vectors for its mutation process. This mutation process is not suitable for complex multimodal optimization. This paper proposes Gaussian mutation in DE which improves search efficiency and guarantees a high probability of obtaining the global optimum without significantly impairing the simplicity of the structure of DE. The effectiveness of the proposed method has been verified on five test problems and three test systems. The results of the proposed approach are compared with those obtained by other evolutionary methods. It is found that the proposed differential evolution with Gaussian mutation-based approach is able to provide better solution.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Guo T, Henwood MI, van Ooijen M (1996) An algorithm for heat and power dispatch. IEEE Trans Power Syst 11(4):1778–1784
Karami H, Sanjari MJ, Tavakoli A, Gharehpetian GB (2013) Optimal scheduling of residential energy system including combined heat and power system and storage device. Electr Power Compon Syst 41:765–781
Michalewicz Z (1999) Genetic algorithms + data structures = evolution programs, 3rd edn. New York
Mohammadi-Ivatloo B, Moradi-Dalvand M, Rabiee A (2013) Combined heat and power economic dispatch problem solution using particle swarm optimization with time varying acceleration coefficients. Electr Power Syst Res 95:9–18
Ramesh V, Jayabaratchi T, Shrivastava N, Baska A (2009) A novel selective particle swarm optimization approach for combined heat and power economic dispatch. Electr Power Compon Syst 37:1231–1240
Rooijers FJ, van Amerongen RAM (1994) Static economic dispatch for co-generation systems. IEEE Trans Power Syst 9(3):1392–1398
Roy PK, Paul C, Sultana S (2014) Oppositional teaching learning based optimization approach for combined heat and power dispatch. Electr Power Energy Syst 57:392–403
Sadat Hosseini SS, Jafarnejad A, Behrooz AH, Gandomi AH (2011) Combined heat and power economic dispatch by mesh adaptive direct search algorithm. Expert Syst Appl 38:6556–6564
Song YH, Chou CS, Stonham TJ (1999) Combined heat and power dispatch by improved ant colony search algorithm. Electr Power Syst Res 52(2):115–121
Storn R, Price KV (1997) Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J Glob Optim 11(4):341–359
Storn R, Price K (1995) Differential evolution—A Simple and Efficient Adaptive Scheme for Global Optimization Over Continuous Spaces, Berkeley, CA. Tech Rep TR-95-012
Storn R, Price K (1996) Minimizing the real functions of the ICEC’96 contest by differential evolution. In: Proc. 1996 IEEE Int. Conf. Evolutionary Computation, ICEC’96
Su CT, Chiang CL (2004) An incorporated algorithm for combined heat and power economic dispatch. Electr Power Syst Res 69(2–3):187–195
Subbaraj P, Rengaraj R, Salivahanan S (2009) Enhancement of combined heat and power economic dispatch using self adaptive real-coded genetic algorithm. Appl Energy 86:915–921
Vasebi A, Fesanghary M, Bathaee SMT (2007) Combined heat and power economic dispatch by harmony search algorithm. Electr Power Energy Syst 29:713–719
Wang L, Singh C (2008) Stochastic combined heat and power dispatch based on multi-objective particle swarm optimization. Electr Power Energy Syst 30(3):226–234
Wong KP, Algie C (2002) Evolutionary programming approach for combined heat and power dispatch. Electr Power Syst Res 61:227–232
Yao X, Liu Y, Lin G (1999) Evolutionary programming made faster. IEEE Trans Evol Comput 3(2):82–102
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by V. Loia.
Appendix
Rights and permissions
About this article
Cite this article
Jena, C., Basu, M. & Panigrahi, C.K. Differential evolution with Gaussian mutation for combined heat and power economic dispatch. Soft Comput 20, 681–688 (2016). https://doi.org/10.1007/s00500-014-1531-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-014-1531-2