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Rational and Self-adaptive Evolutionary Extreme Learning Machine for Electricity Price Forecast

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Proceedings of ELM-2015 Volume 2

Part of the book series: Proceedings in Adaptation, Learning and Optimization ((PALO,volume 7))

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Abstract

Electricity price forecast is of great importance to electricity market participants. Given the sophisticated time-series of electricity price, various approaches of extreme learning machine (ELM) have been identified as effective prediction approaches. However, in high dimensional space, evolutionary extreme learning machine (E-ELM) is time-consuming and difficult to converge to optimal region when just relying on stochastic searching approaches. In the meanwhile, due to the complicated functional relationship, objective function of E-ELM seems difficult also to be mined directly for some useful mathematical information to guide the optimum exploring. This paper proposes a new differential evolution (DE) like algorithm to enhance E-ELM for more accurate and reliable prediction of electricity price. An approximation model for producing DE-like trail vector is the key mechanism, which can use simpler mathematical mapping to replace the original yet complicated functional relationship within a small region. Thus, the evolutionary procedure frequently dealt with some rational searching directions can make the E-ELM more robust and faster than supported only by the stochastic methods. Experimental results show that the new method can improve the performance of E-ELM more efficiently.

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References

  1. Zhang, R., Dong, Z.Y., Xu, Y., Meng, K., Wong, K.P.: Short-term load forecasting of Australian National Electricity Market by an ensemble model of extreme learning machine. IET Gen. Trans. Dist. 7(4), 391–397 (2013)

    Article  Google Scholar 

  2. Wan, C., Xu, Z., Pinson, P., Dong, Z.Y., Wong, K.P.: Probabilistic forecasting of wind power generation using extreme learning machine. IEEE Trans. Power Syst. 29(3), 1033–1044 (2014)

    Article  Google Scholar 

  3. Meng, K., Dong, Z.Y., Wong, K.P.: Self-adaptive RBF neural network for short-term electricity price forecasting. IET Gen. Trans. Dist. 3(4), 325–335 (2009)

    Article  Google Scholar 

  4. Pindoriya, N.M., Singh, S.N., Singh, S.K.: An adaptive wavelet neural network-based energy price forecasting in electricity markets. IEEE Trans. Power Syst. 23(3), 1423–1432 (2008)

    Article  Google Scholar 

  5. Chen, X., Dong, Z.Y., Meng, K., Xu, Y., Wong, K.P., Ngan, H.W.: Electricity price forecasting with extreme learning machine and bootstrapping. IEEE Trans. Power Syst. 27(4), 2055–2062 (2012)

    Article  Google Scholar 

  6. Wan, C., Xu, Z., Pinson, P., Dong, Z.Y., Wong, K.P.: A hybrid artificial neural network approach for probabilistic forecasting of electricity price. IEEE Trans. Smart Grid 5(1), 463–470 (2014)

    Article  Google Scholar 

  7. Conejo, A.J., Plazas, M.A., Espinola, R., Molina, A.B.: Day-ahead electricity price forecasting using the wavelet transform and ARIMA models. IEEE Trans. Power Syst. 20(2), 1035–1042 (2005)

    Article  Google Scholar 

  8. Garcia, R.C., Contreras, J., Akkeren, M.V., Garcia, J.B.C.: A GARCH forecasting model to predict day-ahead electricity prices. IEEE Trans. Power Syst. 20(2), 867–874 (2005)

    Article  Google Scholar 

  9. Bishop, C.M., et al.: Pattern Recognition and Machine Learning, vol. 1. Springer, New York (2006)

    Google Scholar 

  10. Goldberg, D.E., Holland, J.H.: Genetic algorithms and machine learning. Mach. Learn. 3(2), 95–99 (1988)

    Article  Google Scholar 

  11. Li, M.-B., Huang, G.-B., Saratchandran, P., Sundararajan, N.: Fully complex extreme learning machine. Neurocomputing 68, 306–314 (2005)

    Article  Google Scholar 

  12. Huang, G.B., Chen, L., Siew, C.K.: Universal approximation using incremental constructive feedforward networks with random hidden nodes. IEEE Trans. Neural Netw. 17(4), 879–892 (2006)

    Article  Google Scholar 

  13. Huang, G.B., Chen, L.: Convex incremental extreme learning machine. Neurocomputing 70(16–18), 3056–3062 (2007)

    Article  Google Scholar 

  14. Huang, G.B., Chen, L.: Enhanced random search based incremental extreme learning machine. Neurocomputing 71(16–18), 3460–3468 (2008)

    Article  Google Scholar 

  15. Feng, G., Huang, G.B., Lin, Q., Gay, R.: Error minimized extreme learning machine with growth of hidden nodes and incremental learning. IEEE Trans. Neural Netw. 20(8), 1352–1357 (2009)

    Article  Google Scholar 

  16. Zhu, Q.-Y., Qin, A.K., Suganthan, P.N., Huang, G.-B.: Evolutionary extreme learning machine. Pattern Recogn. 38(10), 1759–1763 (2005)

    Article  MATH  Google Scholar 

  17. Cao, J., Lin, Z., Huang, G.-B.: Self-adaptive evolutionary extreme learning machine. Neural Process. Lett. 36, 285–305 (2012)

    Article  Google Scholar 

  18. Storn, R., Price, K.: Differential evolution–a simple and efficient heuristic for global optimization over continuous spaces. J. Global Optim. 11(4), 341–359 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  19. Das, S., Suganthan, P.N.: Differential evolution: a survey of the state-of-the-art. IEEE Trans. Evol. Comput. 15(1), 4–31 (2011)

    Article  Google Scholar 

  20. Zhang, J., Sanderson, A.C.: JADE: adaptive differential evolution with optional external archive. IEEE Trans. Evol. Comput. 13(5), 945–958 (2009)

    Article  Google Scholar 

  21. Brest, J, Greiner, S., Boskovic, B., Mernik, M., Zumer, V.: Self-adapting control parameters in differential evolution: a comparative study on numerical benchmark problems. IEEE Trans. Evol. Comput. 10(6), 646–657 (2006)

    Google Scholar 

  22. Abbass, H.A.: The self-adaptive pareto differential evolution algorithm. In: Proceedings of the 2002 Congress on Evolutionary Computation, 2002, CEC’02, vol. 1, pp. 831–836 (2002)

    Google Scholar 

  23. Qin, A.K., Suganthan, P.N.: Self-adaptive differential evolution algorithm for numerical optimization. In: The 2005 IEEE Congress on Evolutionary Computation, vol. 2, pp. 1785–1791 (2005)

    Google Scholar 

  24. Brest, J., Greiner, S., Boskovic, B., Mernik, M., Zumer, V.: Self-adapting control parameters in differential evolution: a comparative study on numerical benchmark problems. IEEE Trans. Evol. Comput. 10(6), 646–657 (2006)

    Article  Google Scholar 

  25. Das, S., Konar, A., Chakraborty, U.K.: Two improved differential evolution schemes for faster global search. In: Proceedings of the 2005 Conference on Genetic and Evolutionary Computation, 2005, pp. 991–998

    Google Scholar 

  26. Subudhi, B., Jena, D.: Differential evolution and Levenberg Marquardt trained neural network scheme for nonlinear system identification. Neural Process. Lett. 27(3), 285–296 (2008)

    Article  Google Scholar 

  27. Montgomery, D.C.: Design and Analysis of Experiments. Wiley.com, p. 405 (2006)

    Google Scholar 

  28. Australian Energy Market Operator (AEMO), www.aemo.com.au

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Acknowledgment

This work is supported in part by the Australian Research Council (ARC) through a Linkage Project (grant no. 120100302), in part by the University of Newcastle through a Faculty Strategic Pilot Grant, in part by the Research Foundation of Education Bureau of Hunan Province, China (Grant No. 14A136). The author would like to thank Prof. Qingfu Zhang (UK and Hongkong) for fruitful discussions and patient tutoring. Thank Dr. Jingqiao Zhang for providing the source code of JADE.

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Correspondence to Chixin Xiao .

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Xiao, C., Dong, Z., Xu, Y., Meng, K., Zhou, X., Zhang, X. (2016). Rational and Self-adaptive Evolutionary Extreme Learning Machine for Electricity Price Forecast. In: Cao, J., Mao, K., Wu, J., Lendasse, A. (eds) Proceedings of ELM-2015 Volume 2. Proceedings in Adaptation, Learning and Optimization, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-28373-9_16

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  • DOI: https://doi.org/10.1007/978-3-319-28373-9_16

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-28373-9

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