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An improved grey model WD-TBGM (1, 1) for predicting energy consumption in short-term

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Abstract

The traditional grey model has been widely used for predicting energy consumption (EC) in short-term with a small sample-size, but its accuracy is greatly affected by data fluctuation. In order to further improve the prediction performance while considering the data fluctuation, in this study, the wavelet de-noising is introduced to pre-processing the EC data as the input of a modified grey model, leading to an improved novel grey model WD-TBGM (1, 1). It is found that using a wavelet decomposition algorithm can denoise the data and then the data fluctuation is effectively reduced. After illustrating effectiveness by numerical simulation and case study, the prediction performance of this newly proposed hybrid model can be enhanced with approximately 5% compared with the classical grey models. Furthermore, this newly proposed hybrid model is used to address the issues of EC prediction in China which is one of the worldwide top ten energy consumers and in Shanghai city which is one of the top energy consumers in China. The forecasting results show that the total EC of China and Shanghai will slow down in the next few years, which is in line with their actual development situation. This research also explains the effectiveness of the energy conservation and emission reduction policies that China and Shanghai are taking.

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References

  1. Yang, Z.B., Shao, S., Yang, L.L., Miao, Z.: Improvement pathway of energy consumption structure in China’s industrial sector: from the perspective of directed technical change. Energy Econ. 72, 166–176 (2018)

    Article  Google Scholar 

  2. Suganthi, L., Samuel, A.A.: Energy models for demand forecasting—a review. Renew. Sustain. Energy Rev. 16, 1223–1240 (2012)

    Article  Google Scholar 

  3. Shahbaz, M., Zakaria, M., Shahzad, S.J.H., Mahalik, M.K.: The energy consumption and economic growth nexus in top ten energy-consuming countries: fresh evidence from using the quantile-on-quantile approach. Energy Econ. 71, 282–301 (2018)

    Article  Google Scholar 

  4. Wang, X.Y., Luo, D.K., Zhao, X., Sun, Z.: Estimates of energy consumption in China using a self-adaptive multi-verse optimizer-based support vector machine with rolling cross-validation. Energy. 152, 539–548 (2018)

    Article  Google Scholar 

  5. Wu, W.Q., Ma, X., Zeng, B., Wang, Y., Cai, W.: Forecasting short-term renewable energy consumption of China using a novel fractional nonlinear grey Bernoulli model. Renew. Energy 140, 70–87 (2019)

    Article  Google Scholar 

  6. Ozcan, B., Ozturk, I.: Renewable energy consumption-economic growth nexus in emerging countries: a bootstrap panel causality test. Renew. Sustain. Energy Rev. 104, 30–37 (2019)

    Article  Google Scholar 

  7. Gu, W., Zhao, X.H., Yan, X.B., Wang, C., Li, Q.: Energy technological progress, energy consumption, and CO2 emissions: empirical evidence from China. J. Clean. Prod. 236, 117666 (2019)

    Article  Google Scholar 

  8. Li, K., Zhang, T.: A novel grey forecasting model and its application in forecasting the energy consumption in Shanghai. Energy Syst. (2019). https://doi.org/10.1007/s12667-019-00344-0

    Article  Google Scholar 

  9. Li, J.R., Wang, R., Wang, J.Z., Li, Y.F.: Analysis and forecasting of the oil consumption in China based on combination models optimized by artificial intelligence algorithms. Energy. 144, 243–264 (2018)

    Article  Google Scholar 

  10. Bianco, V., Manca, O., Nardini, S.: Electricity consumption forecasting in Italy using linear regression models. Energy. 34, 1413–1421 (2009)

    Article  Google Scholar 

  11. Sen, P., Roy, M., Pal, P.: Application of ARIMA for forecasting energy consumption and GHG emission: a case study of an Indian pig iron manufacturing organization. Energy. 116, 1031–1038 (2016)

    Article  Google Scholar 

  12. Nawaz, S., Iqbal, N., Anwar, S.: Modelling electricity demand using the STAR (smooth transition auto-regressive) model in Pakistan. Energy. 78, 535–542 (2014)

    Article  Google Scholar 

  13. Karimi, H., Dastranj, J.: Artificial neural network-based genetic algorithm to predict natural gas consumption. Energy Syst. 5, 571–581 (2014)

    Article  Google Scholar 

  14. Lee, Y.S., Tong, L.I.: Forecasting energy consumption using a grey model improved by incorporating genetic programming. Energy Convers. Manag. 52, 147–152 (2011)

    Article  Google Scholar 

  15. Deng, J.L.: Control problems of grey systems. Syst. Control Lett. 1, 288–294 (1982)

    Article  MathSciNet  Google Scholar 

  16. Ding, S., Hipel, K.W., Dang, Y.G.: Forecasting China’s electricity consumption using a new grey prediction model. Energy. 149, 314–328 (2018)

    Article  Google Scholar 

  17. Li, C.P., Qin, J.X., Li, J.J., Hou, Q.: The accident early warning system for iron and steel enterprises based on combination weighting and Grey Prediction Model GM (1, 1). Saf. Sci. 89, 19–27 (2016)

    Article  Google Scholar 

  18. Yu, Z.J., Yang, C.H., Zheng, Z., Jiao, J.: Error correction method based on data transformational GM (1, 1) and application on tax forecasting. Appl. Soft Comput. 37, 554–560 (2015)

    Article  Google Scholar 

  19. Kumar, U., Jain, V.K.: Time series models (Grey-Markov, Grey Model with rolling mechanism and singular spectrum analysis) to forecast energy consumption in India. Energy. 35, 1709–1716 (2010)

    Article  Google Scholar 

  20. Zeng, B., Zhou, M., Zhang, J.: Forecasting the energy consumption of China’s manufacturing using a homologous grey prediction model. Sustainability. 9, 1975 (2017)

    Article  Google Scholar 

  21. Şahin, U.: Forecasting of Turkey’s greenhouse gas emissions using linear and nonlinear rolling metabolic grey model based on optimization. J. Clean. Prod. 239, 118079 (2019)

    Article  Google Scholar 

  22. Tien, T.L.: A new grey prediction model FGM (1, 1). Math. Comput. Model. 49, 1416–1426 (2009)

    Article  MathSciNet  Google Scholar 

  23. Xiong, P.P., Dang, Y.G., Yao, T.X., Wang, Z.X.: Optimal modeling and forecasting of the energy consumption and production in China. Energy. 77, 623–634 (2014)

    Article  Google Scholar 

  24. Xu, N., Dang, Y.G., Gong, Y.D.: Novel grey prediction model with nonlinear optimized time response method for forecasting of electricity consumption in China. Energy. 118, 473–480 (2017)

    Article  Google Scholar 

  25. Chang, C.J., Li, D.C., Huang, Y.H., Chen, C.C.: A novel gray forecasting model based on the box plot for small manufacturing data sets. Appl. Math. Comput. 265, 400–408 (2015)

    MathSciNet  MATH  Google Scholar 

  26. Hamzacebi, C., Es, H.A.: Forecasting the annual electricity consumption of Turkey using an optimized grey model. Energy. 70, 165–171 (2014)

    Article  Google Scholar 

  27. Ma, X., Hu, Y.S., Liu, Z.B.: A novel kernel regularized nonhomogeneous grey model and its applications. Commun. Nonlinear Sci. Numer. Simul. 48, 51–62 (2017)

    Article  MathSciNet  Google Scholar 

  28. Ayvaz, B., Kusakci, A.O.: Electricity consumption forecasting for Turkey with nonhomogeneous discrete grey model. Energy Sources Part B 12, 260–267 (2017)

    Article  Google Scholar 

  29. Xie, N.M., Liu, S.F.: Discrete grey forecasting model and its optimization. Appl. Math. Model. 33, 1173–1186 (2009)

    Article  MathSciNet  Google Scholar 

  30. Hu, Y.C., Jiang, P.: Forecasting energy demand using neural-network-based grey residual modification models. J. Oper. Res. Soc. 68, 556–565 (2017)

    Article  Google Scholar 

  31. Li, Z.J., Yang, Q.C., Wang, L.C., Martín, J.D.: Application of RBFN network and GM (1, 1) for groundwater level simulation. Appl. Water Sci. 7, 3345–3353 (2017)

    Article  Google Scholar 

  32. Li, G.D., Yamaguchi, D., Nagai, M.: A GM (1, 1)–Markov chain combined model with an application to predict the number of Chinese international airlines. Technol. Forecast. Soc. Change. 74, 1465–1481 (2007)

    Article  Google Scholar 

  33. Ye, J., Dang, Y.G., Li, B.J.: Grey-Markov prediction model based on background value optimization and central-point triangular whitenization weight function. Commun. Nonlinear Sci. Numer. Simul. 54, 320–330 (2018)

    Article  MathSciNet  Google Scholar 

  34. Li, S.F., Li, R.R.: Comparison of forecasting energy consumption in Shandong, China using the ARIMA model, GM model, and ARIMA-GM model. Sustainability. 9, 1181 (2017)

    Article  Google Scholar 

  35. Ma, M., Su, M., Li, S.F., Jiang, F., Li, R.R.: Predicting coal consumption in South Africa based on linear (metabolic grey model), nonlinear (non-linear grey model), and combined (metabolic grey model-Autoregressive Integrated Moving Average Model) Models. Sustainability. 10, 2552 (2018)

    Article  Google Scholar 

  36. Song, Y.C., Li, X.B., Meng, H.D., Yang, Z.H.: Prediction on China’s coal supply based on changeable weight combination forecasting model. Appl. Mech. Mater. 521, 868–871 (2014)

    Article  Google Scholar 

  37. Bahrami, S., Hooshmand, R.A., Parastegari, M.: Short term electric load forecasting by wavelet transform and grey model improved by PSO (particle swarm optimization) algorithm. Energy. 72, 434–442 (2014)

    Article  Google Scholar 

  38. Wei, S., Xu, Y.F.: Research on China’s energy supply and demand using an improved Grey-Markov chain model based on wavelet transform. Energy. 118, 969–984 (2017)

    Article  Google Scholar 

  39. Akay, D., Atak, M.: Grey prediction with rolling mechanism for electricity demand forecasting of Turkey. Energy. 32, 1670–1675 (2007)

    Article  Google Scholar 

  40. Wu, L.F., Liu, S.F., Yao, L.G., Yan, S.L.: The effect of sample size on the grey system model. Appl. Math. Model. 37, 6577–6583 (2013)

    Article  MathSciNet  Google Scholar 

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Acknowledgements

The authors thank the anonymous reviewers for their valuable comments, which helped us to considerably improve the content, quality and presentation of this paper. Meanwhile, the authors are also very thankful to Dr. Qingtai Xiao (Kunming University of Science and Technology, China) and Dr. Meng Li (University of Texas at San Antonio, United States) for touching up our manuscript.

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YW and BL are responsible for selecting data, providing analysis and prediction tools, and preparing the first draft. JL provides writing ideas and completes the final draft. All authors read and approved the final manuscript.

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Correspondence to Yelin Wang.

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Li, J., Wang, Y. & Li, B. An improved grey model WD-TBGM (1, 1) for predicting energy consumption in short-term. Energy Syst 13, 167–189 (2022). https://doi.org/10.1007/s12667-020-00410-y

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