Journal
RENEWABLE ENERGY
Volume 141, Issue -, Pages 46-56Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.renene.2019.03.127
Keywords
Wind-turbine wake; Mass conservation; Jensen model; Gaussian shape of velocity deficit
Funding
- National Key R&D Program of China [2017YFE0109000]
- National Natural Science Foundation of China [11772128]
- State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources [LAPS17007]
- Fundamental Research Funds for the Central Universities [2017MS022]
- Beijing science and Technology Commission matching subject for National Key Research and Development Program [Z161100002616039]
- China Scholarship Council
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The one-dimensional (1D) Jensen model is probably the most often used model for engineering analysis of wind turbine wakes. Identifying a more realistic shape function for the near and far wakes behind a wind turbine and incorporating the identified shape function into a wake model can significantly improve the accuracy of wake modelling. The conventional approach is to first solve the 1D Jensen model and subsequently redistribute the wake using a specified shape function. The above procedure conserves mass globally and is useful in wake modelling. However, it needs to solve a top-hat wake using Jensen model first, which inevitably violates the local mass conservation. In this work, we propose a two-dimensional (2D) wake model that conserves mass locally and globally. The model is a direct extension of Jensen model, and the wake decay rate is the only model parameter. In addition, by accounting for the pressure recovery region, which is often neglected in wake models, the present model can provide accurate prediction of the velocity deficit behind a wind turbine. The present model is compared with the high-fidelity simulations, wind-tunnel measurements, and field observations. A reasonably good agreement is found between the model and the validation data. (C) 2019 Elsevier Ltd. All rights reserved.
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