IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v30y2005i4p511-521.html
   My bibliography  Save this article

Investigations on the Eigen‐coordinates method for the 2‐parameter weibull distribution of wind speed

Author

Listed:
  • Touré, Siaka

Abstract

The 2-parameter Weibull distribution is the hypothesis that is widely used in the fitting studies of random series of wind speeds. Several procedures are used to find the set of the two fitting parameters k and c. From an experimental study, the fitting parameters were first determined by the regression method. The basic ideas of the Eigen-coordinates method were reported by previous works, in the case of the 4-parameter Stauffer distribution. In the present paper, the new method is applied to identify the 2-parameter Weibull distribution. The differential equation was identified. Then the study disclosed a linear relationship with two Eigen-coordinates. Two complemental errors ɛj and ej were introduced, as criteria to assess the goodness-of-fit of the distribution. ɛj was linked to the linear relationship. ej was used to test the goodness-of-fit between the observed and Weibull cumulative distribution functions. Then the fitting parameters were determined using the Eigen-coordinates method. The results showed a better reliability.

Suggested Citation

  • Touré, Siaka, 2005. "Investigations on the Eigen‐coordinates method for the 2‐parameter weibull distribution of wind speed," Renewable Energy, Elsevier, vol. 30(4), pages 511-521.
    • Handle: RePEc:eee:renene:v:30:y:2005:i:4:p:511-521
    DOI: 10.1016/j.renene.2004.07.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148104002964
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2004.07.007?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Al-Hasan, Mohammed & Nigmatullin, Raoul R., 2003. "Identification of the generalized Weibull distribution in wind speed data by the Eigen-coordinates method," Renewable Energy, Elsevier, vol. 28(1), pages 93-110.
    2. Sulaiman, M.Yusof & Akaak, Ahmed Mohammed & Wahab, Mahdi Abd & Zakaria, Azmi & Sulaiman, Z.Abidin & Suradi, Jamil, 2002. "Wind characteristics of Oman," Energy, Elsevier, vol. 27(1), pages 35-46.
    3. Nigmatullin, R.R., 2000. "Recognition of nonextensive statistical distributions by the eigencoordinates method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 285(3), pages 547-565.
    4. Khogali, A. & Albar, O.F. & Yousif, B., 1991. "Wind and solar energy potential in Makkah (Saudi Arabia)—Comparison with Red Sea coastal sites," Renewable Energy, Elsevier, vol. 1(3), pages 435-440.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fawad, Muhammad & Yan, Ting & Chen, Lu & Huang, Kangdi & Singh, Vijay P., 2019. "Multiparameter probability distributions for at-site frequency analysis of annual maximum wind speed with L-Moments for parameter estimation," Energy, Elsevier, vol. 181(C), pages 724-737.
    2. Safari, Bonfils & Gasore, Jimmy, 2010. "A statistical investigation of wind characteristics and wind energy potential based on the Weibull and Rayleigh models in Rwanda," Renewable Energy, Elsevier, vol. 35(12), pages 2874-2880.
    3. Goh, H.H. & Lee, S.W. & Chua, Q.S. & Goh, K.C. & Teo, K.T.K., 2016. "Wind energy assessment considering wind speed correlation in Malaysia," Renewable and Sustainable Energy Reviews, Elsevier, vol. 54(C), pages 1389-1400.
    4. Christopher Jung, 2016. "High Spatial Resolution Simulation of Annual Wind Energy Yield Using Near-Surface Wind Speed Time Series," Energies, MDPI, vol. 9(5), pages 1-20, May.
    5. Saleh, H. & Abou El-Azm Aly, A. & Abdel-Hady, S., 2012. "Assessment of different methods used to estimate Weibull distribution parameters for wind speed in Zafarana wind farm, Suez Gulf, Egypt," Energy, Elsevier, vol. 44(1), pages 710-719.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. El Alimi, Souheil & Maatallah, Taher & Dahmouni, Anouar Wajdi & Ben Nasrallah, Sassi, 2012. "Modeling and investigation of the wind resource in the gulf of Tunis, Tunisia," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(8), pages 5466-5478.
    2. Carta, J.A. & Ramírez, P. & Velázquez, 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, Elsevier, vol. 13(5), pages 933-955, June.
    3. Nigmatullin, R.R. & Osokin, S.I. & Toboev, V.A., 2011. "NAFASS: Discrete spectroscopy of random signals," Chaos, Solitons & Fractals, Elsevier, vol. 44(4), pages 226-240.
    4. AL-Yahyai, Sultan & Charabi, Yassine & Gastli, Adel & Al-Alawi, Saleh, 2010. "Assessment of wind energy potential locations in Oman using data from existing weather stations," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(5), pages 1428-1436, June.
    5. Liu, Feng-Jiao & Chen, Pai-Hsun & Kuo, Shyi-Shiun & Su, De-Chuan & Chang, Tian-Pau & Yu, Yu-Hua & Lin, Tsung-Chi, 2011. "Wind characterization analysis incorporating genetic algorithm: A case study in Taiwan Strait," Energy, Elsevier, vol. 36(5), pages 2611-2619.
    6. Chang, Tian-Pau & Liu, Feng-Jiao & Ko, Hong-Hsi & Cheng, Shih-Ping & Sun, Li-Chung & Kuo, Shye-Chorng, 2014. "Comparative analysis on power curve models of wind turbine generator in estimating capacity factor," Energy, Elsevier, vol. 73(C), pages 88-95.
    7. Liu, Feng Jiao & Chang, Tian Pau, 2011. "Validity analysis of maximum entropy distribution based on different moment constraints for wind energy assessment," Energy, Elsevier, vol. 36(3), pages 1820-1826.
    8. Al-Yahyai, Sultan & Charabi, Yassine & Gastli, Adel, 2010. "Review of the use of Numerical Weather Prediction (NWP) Models for wind energy assessment," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(9), pages 3192-3198, December.
    9. Nigmatullin, Raoul R. & Toboev, Vyacheslav A. & Lino, Paolo & Maione, Guido, 2015. "Reduced fractal model for quantitative analysis of averaged micromotions in mesoscale: Characterization of blow-like signals," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 166-181.
    10. Ahmed Shata, A.S. & Hanitsch, R., 2006. "Evaluation of wind energy potential and electricity generation on the coast of Mediterranean Sea in Egypt," Renewable Energy, Elsevier, vol. 31(8), pages 1183-1202.
    11. Doukas, Haris & Patlitzianas, Konstantinos D. & Kagiannas, Argyris G. & Psarras, John, 2006. "Renewable energy sources and rationale use of energy development in the countries of GCC: Myth or reality?," Renewable Energy, Elsevier, vol. 31(6), pages 755-770.
    12. Gugliani, G.K. & Sarkar, A. & Ley, C. & Mandal, S., 2018. "New methods to assess wind resources in terms of wind speed, load, power and direction," Renewable Energy, Elsevier, vol. 129(PA), pages 168-182.
    13. Andréa Camila dos Santos Martins & Antonio Roberto Balbo & Dylan Jones & Leonardo Nepomuceno & Edilaine Martins Soler & Edméa Cássia Baptista, 2020. "A Hybrid Multi-Criteria Methodology for Solving the Sustainable Dispatch Problem," Sustainability, MDPI, vol. 12(17), pages 1-20, August.
    14. Siebert, Stefan & Nagieb, Maher & Buerkert, Andreas, 2007. "Climate and irrigation water use of a mountain oasis in northern Oman," Agricultural Water Management, Elsevier, vol. 89(1-2), pages 1-14, April.
    15. Muhammad Shoaib & Imran Siddiqui & Shafiqur Rehman & Saif Ur Rehman & Shamim Khan & Aref Lashin, 2016. "Comparison of Wind Energy Generation Using the Maximum Entropy Principle and the Weibull Distribution Function," Energies, MDPI, vol. 9(10), pages 1-18, October.
    16. Ouammi, Ahmed & Sacile, Roberto & Zejli, Driss & Mimet, Abdelaziz & Benchrifa, Rachid, 2010. "Sustainability of a wind power plant: Application to different Moroccan sites," Energy, Elsevier, vol. 35(10), pages 4226-4236.
    17. Ramli, Makbul A.M. & Twaha, Ssennoga & Al-Hamouz, Zakariya, 2017. "Analyzing the potential and progress of distributed generation applications in Saudi Arabia: The case of solar and wind resources," Renewable and Sustainable Energy Reviews, Elsevier, vol. 70(C), pages 287-297.
    18. Muhammad Ijaz & Syed Muhammad Asim & Alamgir & Muhammad Farooq & Sajjad Ahmad Khan & Sadaf Manzoor, 2020. "A Gull Alpha Power Weibull distribution with applications to real and simulated data," PLOS ONE, Public Library of Science, vol. 15(6), pages 1-19, June.
    19. Al-Hasan, Mohammed & Nigmatullin, Raoul R., 2003. "Identification of the generalized Weibull distribution in wind speed data by the Eigen-coordinates method," Renewable Energy, Elsevier, vol. 28(1), pages 93-110.
    20. Mohammadi, Kasra & Mostafaeipour, Ali & Sabzpooshani, Majid, 2014. "Assessment of solar and wind energy potentials for three free economic and industrial zones of Iran," Energy, Elsevier, vol. 67(C), pages 117-128.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:renene:v:30:y:2005:i:4:p:511-521. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/renewable-energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.