Skip to main content

Comparison of Two ARMA-GARCH Approaches for Forecasting the Mean and Volatility of Wind Speed

  • Conference paper
  • First Online:
International Congress on Energy Efficiency and Energy Related Materials (ENEFM2013)

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 155))

Abstract

In this study, we develop two ARMA-GARCH models for predicting the mean and volatility of wind speed. The first model employs the standalone ARMA-GARCH model for modeling the mean wind speed and the variance simultaneously. For the second model, in the first step, the current wind vector is decomposed into lateral and longitudinal components by using the prevailing wind direction. The mean and variance of the two components are then modeled using two separate ARMA-GARCH processes. Thereafter, the two components are combined back to form the resultant single wind vector. A large wind dataset is employed for model building and prediction so that the two approaches can be compared. It shows that the standalone ARMA-GARCH model is more accurate for predicting the wind speed, whereas the component ARMA-GARCH model performs better for predicting the wind variance.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. American Wind Energy Association (AWEA) (2013) AWEA 4th Quarter 2012 Public market report

    Google Scholar 

  2. U.S. Department of Energy (DOE) (2008) 20 % Wind Energy by 2030. http://www.nrel.gov/docs/fy08osti/41869.pdf. Accessed 20 Aug 2013

  3. M. Fuentes, L. Chen, J. Davis, G. Lackmann, Modeling and predicting complex space-time structures and patterns of coastal wind fields. Environmetrics 16(5), 449–464 (2005)

    Article  MathSciNet  Google Scholar 

  4. H. Nfaoui, J. Buret, A.A.M. Sayigh, Stochastic simulation of hourly average wind speed sequences in Tangiers (Morocco). Sol. Energy 56, 301–314 (1995)

    Article  ADS  Google Scholar 

  5. J. Torres, A. Garcia, M. Deblas, A. Defrancisco, Forecast of hourly average wind speed with ARMA models in Navarre (Spain). Sol. Energy 79(1), 65–77 (2005)

    Article  ADS  Google Scholar 

  6. J. Zhou, J. Shi, G. Li, Fine tuning support vector machines for short-term wind speed forecasting. Energy Convers. Manag. 52(4), 1990–1998 (2011)

    Article  Google Scholar 

  7. G. Li, J. Shi, Bayesian adaptive combination of short-term wind speed forecasts from neural network models. Renew. Energy 36(1), 352–359 (2011)

    Article  Google Scholar 

  8. J. Shi, J. Guo, S. Zeng, Evaluation of hybrid forecasting approaches for wind speed and power generation time series. Renew. Sustain. Energy Rev. 16(5), 3471–3480 (2012)

    Article  Google Scholar 

  9. R.F. Engle, GARCH101: The use of ARCH/GARCHmodels in applied econometrics. J. Econ. Perspect. 15(4), 157–168 (2001)

    Article  Google Scholar 

  10. R.S.J. Tol, Autoregressive conditional heteroscedasticity in daily wind speed measurements. Theoret. Appl. Climatol. 56(1–2), 113–122 (1997)

    Article  ADS  Google Scholar 

  11. B.T. Ewing, J.B. Kruse, J.L. Schroeder, D.A. Smith, Time series analysis of wind speed using VAR and the generalized impulse response technique. J. Wind Eng. Ind. Aerodyn. 95(3), 209–219 (2007)

    Article  Google Scholar 

  12. B.T. Ewing, J.B. Kruse, M.A. Thompson, Analysis of time-varying turbulence in geographically-dispersed wind energy markets. Energy Sources Part B 3, 340–347 (2008)

    Article  Google Scholar 

  13. J.E. Payne, B. Carroll, Modeling wind speed and time-varying turbulence in geographically dispersed wind energy markets in China. Energy Sources Part A 31(19), 1759–1769 (2009)

    Article  Google Scholar 

  14. J.E. Payne, Further evidence on modeling wind speed and time-varying turbulence. Energy Sources Part A 31(13), 1194–1203 (2009)

    Article  Google Scholar 

  15. K.V. Mardia, P.E. Jupp, Directional Statistics (Wiley Series in Probability and Statistics) (Wiley, New York, 2008)

    Google Scholar 

  16. J.A. Carta, P. Ramirez, C. Bueno, A joint probability function of wind speed and direction for wind energy analysis. Energy Convers. Manag. 49, 1309–1320 (2008)

    Article  Google Scholar 

  17. R. García-Rojo, Algorithm for the estimation of the long-term wind climate at a meteorological mast using a joint probabilistic approach. Wind Eng. 28(2), 213–223 (2004)

    Article  Google Scholar 

  18. R. Weber, Estimator for the standard deviation of wind direction based on moments of the Cartesian components. J. Appl. Meteorol. 30(9), 1341–1353 (1991)

    Article  ADS  Google Scholar 

  19. R.A. Johnson, T. Wehrly, Measures and models for angular correlation and angular–linear correlation. J. Roy. Stat. Soc. B 39(2), 222–229 (1977)

    MATH  MathSciNet  Google Scholar 

  20. E. Erdem, J. Shi, ARMA based approaches for forecasting the tuple of wind speed and direction. Appl. Energy 88(4), 1405–1414 (2011)

    Article  Google Scholar 

  21. T. Bollerslev, Generalized autoregressive conditional heteroskedasticity. J. Econometrics 31, 307–327 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  22. R.F. Engle, Autoregressive conditional heteroscedasticity with estimates of variance of United Kingdom inflation. Econometrica 50(4), 987–1000 (1982)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ergin Erdem .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Erdem, E., Shi, J., She, Y. (2014). Comparison of Two ARMA-GARCH Approaches for Forecasting the Mean and Volatility of Wind Speed. In: Oral, A., Bahsi, Z., Ozer, M. (eds) International Congress on Energy Efficiency and Energy Related Materials (ENEFM2013). Springer Proceedings in Physics, vol 155. Springer, Cham. https://doi.org/10.1007/978-3-319-05521-3_9

Download citation

Publish with us

Policies and ethics