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Flower Pollination Algorithm Applied to the Economic Dispatch Problem with Multiple Fuels and Valve Point Effect

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Progress in Artificial Intelligence (EPIA 2017)

Abstract

Due to the high importance of economic dispatch in planning and operating electric power systems, new methods have been researched to minimize the costs of power generation. To calculate these costs, the power generation of each thermal unit must be evaluated. When a thermal unit is modelled considering real world constraints, such as multiple fuels and valve point effect, traditional optimization methods are inefficient due to the nature of the cost function. This paper shows a study of a metaheuristic method, based on flower pollination to search for satisfactory results for economic dispatch. The results obtained are compared with results from other authors, with the purpose of evaluating how efficient the technique presented here is.

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Change history

  • 24 August 2017

    In the originally published version of this paper the name of the fifth author was inadvertently published with a spelling error. The name “Marcos T.B. de Olveira” was corrected to “Marcos T.B. de Oliveira”.

References

  1. Oliveira, E.S., Silva Junior, I.C., de Oliveira, L.W., Dias, B.H., Oliveira, E.J.: Non-convex Economic Dispatch using Trelea Particle Swarm Optimization. PowerTech, Eindhoven (2016)

    Google Scholar 

  2. Wood, A.J., Wollenberg, B.F.: Power Generation, Operation, and Control, 2nd edn. Wiley, Hoboken (1996)

    Google Scholar 

  3. Chiang, C.-L.: Improved genetic algorithm for power economic dispatch of units with valve-point effects and multiple fuels. IEEE Trans. Power Syst. 20(4), 1690–1699 (2005)

    Article  MathSciNet  Google Scholar 

  4. Sayah, S., Hamouda, A.: Nonsmooth economic power dispatch through an enhanced differential evolution approach. In: 2012 International Conference on Complex Systems (ICCS), pp. 1–6 (2012)

    Google Scholar 

  5. Abouheaf, M., Haesaert, S., Lee, W.-J., Lewis, F.: Approximate and reinforcement learning techniques to solve non-convex economic dispatch problems. In: Multi-Conference on Systems, Signals Devices (SSD), pp. 1–8 (2014)

    Google Scholar 

  6. Gaing, Z.-L.: Particle swarm optimization to solving the economic dispatch considering the generator constraints. IEEE Trans. Power Syst. 18(3), 1187–1195 (2003)

    Article  Google Scholar 

  7. Yang, X.-S.: Flower pollination algorithm for global optimization. In: Unconventional Computation and Natural Computation 2012, pp. 240–249 (2012)

    Chapter  Google Scholar 

  8. Prathiba, R., Moses, M.B., Sakthivel, S.: Flower pollination algorithm applied for different economic load dispatch problems. Int. J. Eng. Technol. (IJET) 6(2), 1009–1016 (2014)

    Google Scholar 

  9. Sarjiya, S., Putra, P.H., Saputra, T.A.: Modified flower pollination algorithm for nonsmooth and multiple fuel options economic dispatch. In: 8th International Conference on Information Technology and Electrical Engineering (ICITEE) (2016)

    Google Scholar 

  10. Oliveira, E.S.: Metaheurísticas aplicadas ao problema do despacho econômico de energia elétrica. Master’s Degree final paper. Universidade Federal de Juiz de Fora (2015)

    Google Scholar 

  11. Yang, X.S., Karamanoglu, M., He, X.: Multi-objective flower algorithm for optimization. In: International Conference on Computational Science (ICCS), Procedia Computational Science, pp. 861–868 (2013)

    Article  Google Scholar 

  12. Selvakumar, A.I., Thanushkodi, K.: A new particle swarm optimization solution to nonconvex economic dispatch problems. IEEE Trans. Power Syst. 22(1), 42–51 (2007)

    Article  Google Scholar 

  13. Selvakumar, A.I., Thanushkodi, K.: Anti-predatory particle swarm optimization: solution to nonconvex economic dispatch problems. Electr. Power Syst. Res. 78(1), 2–10 (2008)

    Article  Google Scholar 

  14. Panigrahi, B., Pandi, V.R., Das, S.: Adaptive particle swarm optimization approach for static and dynamic economic load dispatch. Energy Convers. Manag. 49(6), 1407–1415 (2008)

    Article  Google Scholar 

  15. Lu, H., Sriyanyong, P., Song, Y.H., Dillon, T.: Experimental study of a new hybrid PSO with mutation for economic dispatch with non-smooth cost function. Int. J. Electr. Power Energy Syst. 32(9), 921–935 (2010)

    Article  Google Scholar 

  16. Bhattacharya, A., Chattopadhyay, P.: Hybrid differential evolution with biogeography-based optimization for solution of economic load dispatch. IEEE Trans. Power Syst. 25(4), 1955–1964 (2010)

    Article  Google Scholar 

  17. Lin, C., Viviani, G.: Hierarchical economic dispatch for piece-wise quadratic cost functions. IEEE Trans. Power Syst. 6, 1170–1175 (1984)

    Article  Google Scholar 

  18. Park, J., Kim, Y., Eom, I., Lee, K.: Economic load dispatch for piecewise quadratic cost function using hopfield neural network. IEEE Trans. Power Syst. 8(3), 1030–1038 (1993)

    Article  Google Scholar 

  19. Park, J.-B., Lee, K.-S., Shin, J.-R., Lee, K.Y.: A particle swarm optimization for economic dispatch with nonsmooth cost functions. IEEE Trans. Power Syst. 20(1), 34–42 (2005)

    Article  Google Scholar 

  20. Noman, N., Iba, H.: Differential evolution for economic load dispatch problems. Electr. Power Syst. Res. 78(8), 1322–1331 (2008)

    Article  Google Scholar 

  21. Vo, D.N., Ongsakul, W.: Economic dispatch with multiple fuel types by enhanced augmented lagrange hopfield network. Appl. Energy 91(1), 281–289 (2012)

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to thank INERGE (Instituto Nacional de Energia Elétrica), GOHB (Grupo de Otimização Heurística Bioinspirada) and FCT (Fundação Centro Tecnológico de Juiz de Fora) for the support given throughout the development of this paper, which made it possible.

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Correspondence to Ivo Chaves Silva Junior .

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Souza, R.O.G., Oliveira, E.S., Silva Junior, I.C., Marcato, A.L.M., de Oliveira, M.T.B. (2017). Flower Pollination Algorithm Applied to the Economic Dispatch Problem with Multiple Fuels and Valve Point Effect. In: Oliveira, E., Gama, J., Vale, Z., Lopes Cardoso, H. (eds) Progress in Artificial Intelligence. EPIA 2017. Lecture Notes in Computer Science(), vol 10423. Springer, Cham. https://doi.org/10.1007/978-3-319-65340-2_22

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  • DOI: https://doi.org/10.1007/978-3-319-65340-2_22

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