A review of wind speed probability distributions used in wind energy analysis

Carta, José A.; Ramírez, Penélope; Velázquez, Sergio

doi:10.1016/j.rser.2008.05.005

Cited by 758 publications

(392 citation statements)

References 163 publications

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“…For the wind speed variation, different statistical models were proposed [7], among which Weibull distribution is the most widely used one. For the wind direction variation, the frequencies of occurrence of different direction sectors are usually used, typically presented in a wind rose.…”

Section: Introductionmentioning

confidence: 99%

Modelling Wind for Wind Farm Layout Optimization Using Joint Distribution of Wind Speed and Wind Direction

Feng

Shen

2015

Energies

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Abstract:Reliable wind modelling is of crucial importance for wind farm development. The common practice of using sector-wise Weibull distributions has been found inappropriate for wind farm layout optimization. In this study, we propose a simple and easily implementable method to construct joint distributions of wind speed and wind direction, which is based on the parameters of sector-wise Weibull distributions and interpolations between direction sectors. It is applied to the wind measurement data at Horns Rev and three different joint distributions are obtained, which all fit the measurement data quite well in terms of the coefficient of determination . Then, the best of these joint distributions is used in the layout optimization of the Horns Rev 1 wind farm and the choice of bin sizes for wind speed and wind direction is also investigated. It is found that the choice of bin size for wind direction is especially critical for layout optimization and the recommended choice of bin sizes for wind speed and wind direction is finally presented.

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Section: Introductionmentioning

confidence: 99%

Modelling Wind for Wind Farm Layout Optimization Using Joint Distribution of Wind Speed and Wind Direction

Feng

Shen

2015

Energies

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“…The use of this frequency distribution approach can provide a simple method to evaluate the theoretical wind energy, because it provides useful information about wind speed. Carta et al (2009) review and compare the most widely used and accepted distributions in the specialized literature on wind energy and the methods utilized to estimate their parameters. They conclude that the Weibull distribution has a number of advantages with respect to the other PDFs analysed.…”

Section: Discussionmentioning

confidence: 99%

Methods and tools to evaluate the availability of renewable energy sources

Angelis-Dimakis

Biberacher

Bravo

et al. 2011

Renewable and Sustainable Energy Reviews

336

132

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The recent statements of both the European Union and the US Presidency pushed in the direction of using renewable forms of energy, in order to act against climate changes induced by the growing concentration of carbon dioxide in the atmosphere. In this paper, a survey regarding methods and tools presently available to determine potential and exploitable energy in the most important renewable sectors (i.e., solar, wind, wave, biomass and geothermal energy) is presented. Moreover, challenges for each renewable resource are highlighted as well as the available tools that can help in evaluating the use of a mix of different sources.

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“…The ambient air temperature, solar radiation intensity, and wind energy density of the city, for different periods, are shown in Figure 3. Here, we assume that solar radiation intensity meets the normal distribution, [59] with the variance taken as the mean value multiplied by 0.5, and that wind energy density meets the Weibull distribution [60], which is as follows:…”

Section: Climate Datamentioning

confidence: 99%

An MILP Method for Design of Distributed Energy Resource System Considering Stochastic Energy Supply and Demand

Duan

Yan

et al. 2017

Energies

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A distributed energy resource (DER) system, which can be defined as a medium or small energy conversion and utilization system with various functions for meeting multiple targets, is directly oriented towards users and achieves on-site production and energy supply according to users' demands. Optimization research on system construction has recently become an important issue. In this paper, simple stochastic mathematical equations were used to interpret the optimal design problem of a DER system, and based on this, a novel method for solving the optimization problem, which has multi-dimensional stochastic uncertainties (involving the price of input-energy and energy supply and demand), was put forward. A mixed-integer linear programming (MILP) model was established for the optimal design of the DER system by combining the ideas of mean value and variance, aiming to minimize the total costs, including facility costs, energy purchase costs, and loss caused by energy supply shortage, and considering the energy balance and facility performance constraints. In the end, a DER system design for an office building district in Xuzhou, China, was taken as an example to verify the model. The influences of uncertainty on the selection of system facilities and the economic evaluation were analyzed. The result indicated that uncertainty of energy demand played a significant role in optimal design, whereas energy price played a negligible role. With respect to economy, if uncertainties are not considered in system design, it will result in a short supply, and therefore the total cost will increase considerably. The calculation convergence was compared with previous work. The implementation results showed the practicality and efficiency of the proposed method.

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A review of wind speed probability distributions used in wind energy analysis

Cited by 758 publications

References 163 publications

Modelling Wind for Wind Farm Layout Optimization Using Joint Distribution of Wind Speed and Wind Direction

Modelling Wind for Wind Farm Layout Optimization Using Joint Distribution of Wind Speed and Wind Direction

Methods and tools to evaluate the availability of renewable energy sources

An MILP Method for Design of Distributed Energy Resource System Considering Stochastic Energy Supply and Demand

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