The Use of Odd and Even Class Wind Speed Time Series of Distribution Histogram to Estimate Weibull Parameters


In this article, we introduced a new approach based on graphical method (GPM), maximum likelihood method (MLM), energy pattern factor method (EPFM), empirical method of Justus (EMJ), empirical method of Lysen (EML) and moment method (MOM) using the even or odd classes of wind speed series distribution histogram with 1 m/s as bin size to estimate the Weibull parameters. This new approach is compared on the basis of the resulting mean wind speed and its standard deviation using seven reliable statistical indicators (RPE, RMSE, MAPE, MABE, R2, RRMSE and IA). The results indicate that this new approach is adequate to estimate Weibull parameters and can outperform GPM, MLM, EPF, EMJ, EML and MOM which uses all wind speed time series data collected for one period. The study has also found a linear relationship between the Weibull parameters K and C estimated by MLM, EPFM, EMJ, EML and MOM using odd or even class wind speed time series and those obtained by applying these methods to all class (both even and odd bins) wind speed time series. Another interesting feature of this approach is the data size reduction which eventually leads to a reduced processing time.
Article History: Received February 16th 2018; Received in revised form May 5th 2018; Accepted May 27th 2018; Available online
How to Cite This Article: Salami, A.A., Ajavon, A.S.A., Kodjo, M.K. , Ouedraogo, S. and Bédja, K. (2018) The Use of Odd and Even Class Wind Speed Time Series of Distribution Histogram to Estimate Weibull Parameters. Int. Journal of Renewable Energy Development 7(2), 139-150.
https://doi.org/10.14710/ijred.7.2.139-150
Article Metrics:
- Ahmed, S.A., (2013). Comparative study of four methods for estimating Weibull parameters for Halabja, Iraq. International Journal of Physical Sciences, 8(5), 186–192.
- Al-Mulali, U., & Sab, C. N. B. C., (2012). The impact of energy consumption and CO2 emission on the economic growth and financial development in the Sub Saharan African countries. Energy,, 180–186
- Bugaje I. M., (2006). Renewable energy for sustainable development in Africa: a review,. Renew. Sustain. Energy Rev.,603–612
- Celik, A.N., (2004). A statistical analysis of wind power density based on the Weibull and Rayleigh models at the southern region of Turkey. Renewable Energy, 29(4), 593–604
- Dahmouni, A. W., Salah, M. B., Askri, F., Kerkeni, C., & Nasrallah, S. B., (2011). Assessment of wind energy potential and optimal electricity generation in Borj-Cedria , Tunisia. Renewable and Sustainable Energy Reviews, 15(1), 815–820
- Dinler, A. & Akdag, S.A., (2009). A new method to estimate Weibull parameters for wind energy applications. 50, 1761–1766
- Garcia, A., Torres, J. L., Prieto, E., & De Francisco, A., (1998). Fitting wind speed distributions: a case study. Solar Energy, 62(2), 139–144.
- Kasra, M., Omid,A., Ali, M. & Navid, G.M.J., (2016). Assessing different parameters estimation methods of Weibull distribution to compute wind power density. Energy Conversion and Management, 108(November), 322–335
- Kidmo, D. K., Danwe, R., Doka, S. Y., & Djongyang, N., (2015). Statistical analysis of wind speed distribution based on six Weibull Methods for wind power evaluation in Garoua, Cameroon.,18,105–125.
- Kimatu, W., Ayenagbo, J. N., Rongcheng, K., (2011). A model for a sustainable energy supply strategy for the social-economic development of Togo
- Legates, D. R., & McCabe, G. J., (1999). Goodness-of-fit measures in hydrologic and hydro climatic model validation,. Water Resour. Res.,, 35, 233–241
- Mostafaeipour, A., Sedaghat, A., Dehghan-Niri, A. A., & Kalantar, V., (2011). Author ’ s personal copy Wind energy feasibility study for city of Shahrbabak in Iran. Renewable and Sustainable Energy Reviews, 15, 2545–2556
- Rocha, P. A. C., de Sousa, R. C., de Andrade, C. F., & da Silva, M. E. V., (2012). Comparison of seven numerical methods for determining Weibull parameters for wind energy generation in the northeast region of Brazil. Applied Energy, 89(1), 395–400
- Sahin, A.D., (2004). Progress and recent trends in wind energy. Progress in Energy and Combustion Science, 30(5), 501–543.
- Salami, A.A., Ajavon, A. S. A, Kodjo, M.K. & Bedja, K., (2013). Contribution to improving the modeling of wind and evaluation of the wind potential of the site of Lome: Problems of taking into account the frequency of calm winds. Renewable Energy, 50, 449–455. A
- Salami, A.A., Ajavon, A. S. A, Kodjo, M.K. & Bedja, K., (2016). Evaluation of Wind Potential for an Optimum Choice of Wind Turbine Generator on the Sites of Lome, Accra, and Cotonou Located in the Gulf of Guinea.,. Int. Journal of Renewable Energy Development,, 5(3), 211–223. Seguro, J. V & 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(1), 75–84
- Yuan F. Q. Barabadi A., L.J.M.G.A.H.S., (2015). Performance evaluation for maximum likelihood and moment parameter estimation methods on classical two Weibull distributions. Ind. Eng. Eng. Manag. (IEEM), 2015 IEEE Int. Conf.,, 2015, 802–806
Last update: 2021-02-25 19:30:00
-
Analysis and efficient comparison of ten numerical methods in estimating Weibull parameters for wind energy potential: Application to the city of Bafoussam, Cameroon
Pascalin Tiam Kapen, Marinette Jeutho Gouajio, David Yemélé. Renewable Energy, 127 , 2020. doi: 10.1016/j.renene.2020.05.185
Last update: 2021-02-25 19:30:01
-
Analysis and efficient comparison of ten numerical methods in estimating Weibull parameters for wind energy potential: Application to the city of Bafoussam, Cameroon
Pascalin Tiam Kapen, Marinette Jeutho Gouajio, David Yemélé. Renewable Energy, 127 , 2020. doi: 10.1016/j.renene.2020.05.185 -
Estimating weibull parameters for wind energy applications using seven numerical methods: Case studies of three coastal sites in West Africa
Guenoukpati A.. International Journal of Renewable Energy Development, 9 (2), 2020. doi: 10.14710/ijred.9.2.217-226

This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. Articles are freely available to both subscribers and the wider public with permitted reuse.
All articles published Open Access will be immediately and permanently free for everyone to read and download. We are continuously working with our author communities to select the best choice of license options: Creative Commons Attribution-ShareAlike (CC BY-SA). Authors and readers can copy and redistribute the material in any medium or format, as well as remix, transform, and build upon the material for any purpose, even commercially, but they must give appropriate credit (cite to the article or content), provide a link to the license, and indicate if changes were made. If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.