A Three-Dimensional, Analytical Wind Turbine Wake Model: Flow Acceleration, Empirical Correlations, and Continuity

Zein Sadek, Ryan Scott, Nicholas Hamilton, Raul Cal

Research output: Contribution to journalArticlepeer-review

1 Scopus Citations

Abstract

A new, three-dimensional, analytical, steady-state wake model is presented that includes local flow acceleration near the rotor, improving the wake description compared to existing models. Wake structures such as the momentum deficit and regions of accelerated flow are concisely described with compound and normal Gaussian functions. Large-eddy simulations (LES) are used as training data to develop the model using two in-line turbines under various inflow conditions parameterized by hub-height wind speed and turbulence intensity. Mass conservation is considered by fixing two components of the wake velocity model and optimizing the third to best satisfy continuity; after which, the model performs comparably if not better than existing work with regards to both relative error and mass consistency. The final model demonstrates a high degree of flexibility, making use of empirical correlations to scale across different inflow conditions. The inclusion of these effects is capable of revealing unused opportunities for enhanced power generation by aligning wake trajectories with these regions of accelerated flow.

Original languageAmerican English
Pages (from-to)298-309
Number of pages12
JournalRenewable Energy
Volume209
DOIs
StatePublished - 2023

Bibliographical note

Publisher Copyright:
© 2023 Elsevier Ltd

NREL Publication Number

  • NREL/JA-5000-83804

Keywords

  • Modeling
  • Optimization
  • Turbines
  • Wakes
  • Wind energy

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