Analytical model for predicting the performance of arbitrary size and layout wind farms

Xiaolei Yang, Fotis Sotiropoulos

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


A simple engineering model for predicting wind farm performance is presented, which is applicable to wind farms of arbitrary size and turbine layout. For modeling the interaction of wind farm with the atmospheric boundary layer (ABL), the wind farm is represented as added roughness elements. The wind speed behind each turbine is calculated using a kinematic model, in which the friction velocity and the wind speed outside the turbine wake, constructed based on the wind farm-ABL interaction model, are employed to estimate the wake expansion rate in the crosswind direction and the maximum wind speed that can be recovered within the turbine wake, respectively. Validation of the model is carried out by comparing the model predictions with the measurements from wind tunnel experiments and the Horns Rev wind farm. For all validation cases, satisfactory agreement is obtained between model predictions and experimental data.

Original languageEnglish (US)
Pages (from-to)1239-1248
Number of pages10
JournalWind Energy
Issue number7
StatePublished - Jul 1 2016

Bibliographical note

Funding Information:
The funding support from Department of Energy (DOE) (DE-EE0002980, DE-EE0005482), Xcel Energy through the Renewable Development Fund (grant RD3-42) and University of Minnesota Initiative for Renewable Energy and the Environment IREE (grant no RO-0004-12), and the computational resources provided by the University of Minnesota Supercomputing Institute are greatly acknowledged.

Publisher Copyright:
© Copyright 2015 John Wiley & Sons, Ltd.


  • distributed roughness model
  • internal boundary layer
  • kinematic model
  • wind farm model


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