Cited by 25Wind Energy Research and DevelopmentEnergy Load and Power ForecastingPower System Reliability and Maintenance

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Estimation of electricity cost of wind energy using Monte Carlo simulations based on nonparametric and parametric probability density functions

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Ali Elfarra, Munir, Kaya, Mustafa·2021·Alexandria Engineering Journal

Abstract

It is conventional in wind energy assessment projects to calculate the expected value of the annual energy production (AEP). However, ignoring the effect of wind speed distribution on the distribution of the annual energy production may cause wrong predictions in the cost analysis. For a better estimation of the payback period, it is essential to accurately determine the confidence levels of the electricity cost around the expected value. Wind speed distributions are commonly represented by the Weibull model. Improved functions or nonparametric functions are preferred in the case of multimodal wind speed distributions. As nonparametric probability density function, the optimum spline based functions are implemented and compared to Weibull, Weibull & Weibull for two different wind sites. The results show that the spline based probability density functions produce minimum fitting error for the analyzed cases. Once the wind speed distributions are characterized, random wind speeds are generated to calculate the AEP distributions by Monte Carlo simulations. The cost analysis is then carried out based on the AEP distributions which includes the determination of the confidence levels. It is observed that the confidence levels of the electricity costs which are not falling close to the expected cost region are much greater.

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  • MCS can be invaluable to risk managers and helpful for estimating project durations and costs.

    “This technique can be invaluable to risk managers and helpful for estimating project durations and costs (Ali Elfarra and Kaya, 2021).”

    From Beyond probability-impact matrices in project risk management: A quantitative methodology for risk prioritisation (2024) · cites this paper as Ali Elfarra and Kaya, 2021

    The Introduction (page unavailable) says Monte Carlo simulations help estimate confidence levels for electricity costs in wind-energy projects, supporting the cost-estimation part of the claim. It also discusses minimizing investment risk, but does not address risk managers or estimating project durations. The pay-off period in §4.4 is not a project-duration estimate. (LLM, conf=0.86)

    Experimental — accuracy not yet measured

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Research works printed but not linked: 25

  1. Dabbaghiyan, 2016, Evaluation of wind energy potential in province of Bushehr, Iran, Renew. Sustain. Energy Rev., 55, 455, 10.1016/j.rser.2015.10.148 · DOI
  2. Jiang, 2015, Comprehensive assessment of wind resources and the low-carbon economy: an empirical study in the Alxa and Xilin Gol Leagues of inner Mongolia, China, Renew. Sustain. Energy Rev., 50, 1304, 10.1016/j.rser.2015.05.082 · DOI
  3. S. Vittal, M. Teboul, Performance and Reliability Analysis of Wind Turbines Using Monte Carlo Methods Based on System Transport Theory, 46th AIAA / ASME / ASCE / AHS / ASC Structures, Structural Dynamics and Materials Conference, 18-21 April 2005, Texas, USA. DOI: 10.2514/6.2005-2218. · DOI
  4. M.D. Usman, M. Shaaban, Value at Risk Estimation of a Power System Including Wind Generation, 2013 IEEE Student Conference on Research and development (SCOReD), 16 -17 December 2013, Putrajaya, Malaysia. DOI: 10.1109/SCOReD.2013.7002649 · DOI
  5. Dumitrascu, 2015, Reliability estimation of parameters of helical wind turbine with vertical axis, The Sci. World J., 2015, 10.1155/2015/296762 · DOI
  6. Loukatou, 2018, Stochastic wind speed modelling for estimation of expected wind power output, Appl. Energy, 228, 1328, 10.1016/j.apenergy.2018.06.117 · DOI
  7. Arslan, 2014, Comparative study of numerical methods for determining Weibull parameters for wind energy potential, Renew. Sustain. Energy Rev., 40, 820, 10.1016/j.rser.2014.08.009 · DOI
  8. Weibull, 1951, A statistical distribution function of wide applicability, J. Appl. Mech., 103, 293, 10.1115/1.4010337 · DOI
  9. Akdağ, 2010, Use of two-component Weibull mixtures in the analysis of wind speed in the Eastern Mediterranean, App. Energ., 87, 2566, 10.1016/j.apenergy.2010.02.033 · DOI
  10. Jaramillo, 2004, Wind speed analysis in La Ventosa, Mexico: a bimodal probability distribution case, Renew. Energ., 29, 1613, 10.1016/j.renene.2004.02.001 · DOI
  11. Amaya-Martinez, 2014, A statistical analysis of wind speed distribution models in the Aburrá Valley, Colombia, CT&F - Ciencia, Tecnología y Futuro., 5, 121, 10.29047/01225383.36 · DOI
  12. Draxl, 2015, The wind integration national dataset (WIND) toolkit, Appl. Energ., 151, 355, 10.1016/j.apenergy.2015.03.121 · DOI
  13. Yürüşen, 2016, Probability density function selection based on the characteristics of wind speed data, J. Phys.: Conf. Ser., 753
  14. Silverman, 1981, Using kernel density estimates to investigate multimodality, J. R. Stat. Soc. Ser. B (Methodological), 43, 97, 10.1111/j.2517-6161.1981.tb01155.x · DOI
  15. Pararai, 2015, A new class of generalized power lindley distribution with applications to lifetime data, Theor. Math. Appl., 5, 53
  16. Docenko, 2003, Spline histogram method for reconstruction of probability density functions of clusters of galaxies, Galaxy J., 626, 294
  17. Munkhammar, 2017, Polynomial probability distribution estimation using the method of moments, PLoS ONE, 12 No 4
  18. Morrissey, 2012, Tractable analytic expressions for the wind speed probability density functions using expansions of orthogonal polynomials, J. Appl. Meteorol. Clim., 51, 1310, 10.1175/JAMC-D-11-0236.1 · DOI
  19. Wang, 2019, Frequency distribution model of wind speed based on the exponential polynomial for wind farms, Sustainability., 11 No.3
  20. M. Elfarra, M. Kaya, Comparison of Optimum Spline Based Probability Density Functions to Parametric Distributions for the Wind Speed Data in terms of Annual Energy Production, Energies. 11 No. 11 (20189. DOI: 10.3390/en11113190. · DOI
  21. Izenman, 1991, Recent developments in nonparametric density estimation, J. Am. Stat. Assoc., 86, 205
  22. J.F. Manwell, J.G. McGowan, A.L. Rogers, Wind Energy Explained: Theory, Design and Application, John Wiley & Sons Ltd.: West Sussex, UK, pp. 38-57, 2002. · DOI
  23. Jaramillo, 2004, Wind speed analysis in La Ventosa, Mexico: a bimodal probability distribution case, Renew. Energ., 29, 1613, 10.1016/j.renene.2004.02.001 · DOI
  24. Elfarra, 2018, Technical and economical evaluation and GHG analysis of wind power generation in four sites using different weibull parameters, Int. J. Renewable Energy Res., 8, 1697
  25. Satyanarayana, 2016, Wind energy potential and cost estimation of wind energy conversion systems (WECSs) for electricity generation in the eight selected locations of Tigray region (Ethiopia), Renewables: Wind, Water and Solar., 3 No.10

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Metadata

Authors
Ali Elfarra, M., & Kaya, M.
Affiliations
Ankara Yıldırım Beyazıt University (TR)
Venue
Alexandria Engineering Journal
Publisher
Elsevier BV
Published
2021-08
Volume
60
Issue
4
Pages
3631-3640
ISSN
1110-0168 (ISSN-L)
OpenAlex
W3134673939
Cited by
25
References
0
Citations by year
2026: 1 · 2025: 5 · 2024: 8 · 2023: 4 · 2022: 1 · 2021: 6
FWCI
0.94
Type
journal article
Language
en
Open access
Locations
  • Alexandria Engineering Journal (publishedVersion, cc-by)
  • AYBU AVESIS (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
Topics
  • Physical Sciences › Energy › Renewable Energy, Sustainability and the Environment › Wind Energy Research and Development
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Energy Load and Power Forecasting
  • Physical Sciences › Engineering › Safety, Risk, Reliability and Quality › Power System Reliability and Maintenance
Keywords
annual energy production, wind speed distribution, Weibull distribution, Monte Carlo simulation, confidence level, payback period

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