Tian Pau Chang1

Department of Computer Science and Information Engineering, Nankai University of Technology, Taiwan, R.O.C.


Download Citation: |
Download PDF


ABSTRACT


Wind resource is important part of the utilization of renewable energy. To effectively estimate the wind energy potential for a given area, a variety of probability density functions (pdf) have been available in literature. In this paper, the bimodal mixture Weibull function (WW) and the probability function derived with maximum entropy principle (MEP) will be used and compared with the conventional Weibull function. Wind speed data measured at three wind farms experiencing different climatic environments in Taiwan are selected as sample data to test their performance. Judgment criterions include four kinds of statistical errors, i.e. the max error in Kolmogorov-Smirnov test, Chi-square error, root mean square error and relative error of wind potential energy. The results show that the proposed WW and MEP pdfs describe wind characterizations better than the conventional Weibull pdf, irrespective of wind speed and wind power density data, particularly for a location where wind regime presents two humps on it. For wind speed distributions, the WW pdf describes best according to the Kolmogorov-Smirnov test; while for wind power density, the MEP pdf outperforms the others.


Keywords: wind speed; wind power density; probability density function


Share this article with your colleagues

 


REFERENCES


  1. [1] Chang, T. P. 2010. Performance comparison of six numerical methods in estimating Weibull parameters for wind energy application. Applied Energy in press, doi:10.1016/j.apenergy.2010.06. 018.

  2. [2] Carta, J. A., Ramirez, P., and Velazquez, S. 2009. A review of wind speed probability distributions used in wind energy analysis Case studies in the Canary Islands. Renewable and Sustainable Energy Reviews, 13: 933-955.

  3. [3] Zhou, W., Yang, H.X., and Fang, Z. H. 2006. Wind power potential and characteristic analysis of the Pearl River Delta region, China. Renewable Energy, 31: 739-753.

  4. [4] Seguro, J. V. and Lambert, T. W., 2000. Modern estimation of the parameters of the Weibull wind speed distribution for wind energy analysis. Journal of Wind Engineering and Industrial Aerodynamics, 85:75-84.

  5. [5] Jaramillo, O. A. and Borja, M. A. 2004. Wind speed analysis in La Ventosa, Mexico: a bimodal probability distribution case. Renewable Energy, 29: 1613-1630.

  6. [6] Akpinar, S. and Akpinar, E.K. 2009. Estimation of wind energy potential using finite mixture distribution models. Energy Conversion and Management, 50: 877-884.

  7. [7] Carta, J. A. and Ramirez, P. 2007. Analysis of two-component mixture Weibull statistics for estimation of wind speed distributions. Renewable Energy, 32: 518-531.

  8. [8] Carta, J. A. and Mentado, D. 2007. A continuous bivariate model for wind power density and wind turbine energy output estimations. Energy Conversion and Management, 48: 420-432.

  9. [9] Carta, J. A. and Ramirez, P. 2007. Use of finite mixture distribution models in the analysis of wind energy in the Canarian Archipelago. Energy Conversion and Management, 48: 281-291.

  10. [11] Ramirez, P. and Carta, J. A. 2006. The use of wind probability distributions derived from the maximum entropy principle in the analysis of wind energy. A case study. Energy Conversion and Management, 47: 2564-2577.

  11. [12] Li, M. and Li, X. 2004. On the probabilistic distribution of wind speeds: theoretical development and comparison with data. International Journal of Exergy, 1: 237-255.

  12. [13] Li, M. and Li, X. 2005. MEP-type distribution function: a better alternative to Weibull function for wind speed distributions. Renewable Energy, 30: 1221- 1240.

  13. [14] Shamilov, A., Kantar, Y. M., and Usta, I. 2008. Use of MinMaxEnt distributions defined on basis of MaxEnt method in wind power study. Energy Conversion and Management, 49: 660-677.

  14. [15] kpinar, S. and Akpinar, E. K. 2007. Wind energy analysis based on maximum entropy principle (MEP)-type distribution function. Energy Conversion and Management, 48: 1140-1149.

  15. [16] Kantar, Y. M. and Usta, I. 2008. Analysis of wind speed distributions: Wind distribution function derived from minimum cross entropy principles as better alternative to Weibull function. Energy Conversion and Management, 49: 962-973.

  16. [17] Sulaiman, M. Y. Akaak, A. M., Wahab, M.A., Zakaria, A., Sulaiman, Z.A., and Suradi, J. 2002. Wind characteristics of Oman. Energy, 27: 35-46.


ARTICLE INFORMATION




Accepted: 2010-09-07
Available Online: 2010-10-01


Cite this article:

Chang, T.P. 2010. Wind speed and power density analyses based on mixture weibull and maximum entropy distributions. International Journal of Applied Science and Engineering, 8, 39–46. https://doi.org/10.6703/IJASE.2010.8(1).39