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.
Highlights
In the last two decades, the progress of technologies, together with the increased experience of wind farm (WF) construction and operation, has enabled the development of modern WFs, which typically consist of tens or hundreds of utility-scale wind turbines (WTs) and can have a total capacity of hundreds of MW
With the WF layout optimization as the targeted application, we propose a simple and implementable method to construct joint distributions of wind speed and direction based on the parameters of sector-wise Weibull distributions
We investigate the choice of bin sizes for wind speed and wind direction in numerical calculation, both for WF power calculation and layout optimization, and find that the choice of bin size for wind direction is especially critical for layout optimization
Summary
In the last two decades, the progress of technologies, together with the increased experience of wind farm (WF) construction and operation, has enabled the development of modern WFs, which typically consist of tens or hundreds of utility-scale (multi-MW) wind turbines (WTs) and can have a total capacity of hundreds of MW. For the wind direction variation, the frequencies of occurrence of different direction sectors are usually used, typically presented in a wind rose Combining these two, the measured wind data can be fitted into sector-wise Weibull distributions, which is the common practice in wind modelling for wind resource assessment and annual energy production (AEP) calculation. The measured wind data can be fitted into sector-wise Weibull distributions, which is the common practice in wind modelling for wind resource assessment and annual energy production (AEP) calculation This more realistic wind modelling method has been adopted in several studies on WF layout optimization. With the WF layout optimization as the targeted application, we propose a simple and implementable method to construct joint distributions of wind speed and direction based on the parameters of sector-wise Weibull distributions. The recommended choice of bin sizes for wind speed and wind direction is presented after the case study for Horns Rev 1 WF
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