New dynamic-inflow engineering models based on linear and nonlinear actuator disc vortex models

Wei Yu*, Delphine Tavernier, Carlos Ferreira, Gijs A.M. van Kuik, Gerard Schepers

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

10 Citations (Scopus)
100 Downloads (Pure)


Two new engineering models are presented for the aerodynamic induction of a wind turbine under dynamic thrust. The models are developed using the differential form of Duhamel integrals of indicial responses of actuator disc type vortex models. The time constants of the indicial functions are obtained by the indicial responses of a linear and a nonlinear actuator disc model. The new dynamic-inflow engineering models are verified against the results of a Computational Fluid Dynamics (CFD) model and compared against the dynamic-inflow engineering models of Pitt-Peters, Øye, and Energy Research Center of the Netherlands (ECN), for several load cases. Comparisons of all models show that two time constants are necessary to predict the dynamic induction. The amplitude and phase delay of the velocity distribution shows a strong radial dependency. Verifying the models against results from the CFD model shows that the model based on the linear actuator disc vortex model predicts a similar performance as the Øye model. The model based on the nonlinear actuator disc vortex model predicts the dynamic induction better than the other models concerning both phase delay and amplitude, especially at high load.

Original languageEnglish
Pages (from-to)1433-1450
Number of pages18
JournalWind Energy
Issue number11
Publication statusPublished - Nov 2019


  • actuator disc
  • CFD
  • dynamic inflow
  • engineering model
  • vortex model


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