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So-called engineering or analytical wind farm flow solvers typically build upon two submodels: one for the velocity deficit and one for the wake-added turbulence intensity. While velocity deficit modelling has received considerable…

Fluid Dynamics · Physics 2026-05-01 Frédéric Blondel , Erwan Jézéquel , Helen Schottenhamml , Majid Bastankhah

In large wind farms, wake distribution behind a wind turbine causes a considerable reduction of wind velocity for downstream wind turbines, resulting in a significant amount of power loss. Therefore, it is very crucial to predict wind…

Fluid Dynamics · Physics 2022-05-04 Jagdeep Singh , Jahrul Alam

This work focuses on the validation of the dynamic wake meandering (DWM) model against large eddy simulation (LES). The wake deficit, mean deflection, and meandering under different wind turbine misalignment angles in yaw and tilt, for the…

Fluid Dynamics · Physics 2023-08-03 Irene Rivera-Arreba , Zhaobin Li , Xiaolei Yang , Erin E. Bachynski-Polić

Wind turbines operating in the atmospheric boundary layer are constantly exposed to time-varying flow conditions. These disturbances often occur on similar time scales to wind-turbine controllers, which may interfere with wind-farm control…

Fluid Dynamics · Physics 2026-03-23 Nathaniel J. Wei , Adina Y. Fleisher , John W. Kurelek , Marcus N. Hultmark

To provide automatic generation control (AGC) service, wind farms (WFs) are required to control their operation dynamically to track the time-varying power reference. Wake effects impose significant aerodynamic interactions among turbines,…

Optimization and Control · Mathematics 2021-08-25 Kaixuan Chen , Jin Lin , Yiwei Qiu , Feng Liu , Yonghua Song

This study presents a compact data-driven Reynolds-averaged Navier-Stokes (RANS) model for wind turbine wake prediction, built as an enhancement of the standard \(k\)-\(\varepsilon\) formulation. Several candidate models were discovered…

Fluid Dynamics · Physics 2025-12-09 Kherlen Jigjid , Ali Eidi , Nguyen Anh Khoa Doan , Richard P. Dwight

The current study uses large eddy simulations to investigate the transient response of a utility-scale wind turbine wake to dynamic changes in atmospheric and operational conditions, as observed in previous field-scale measurements. Most…

Fluid Dynamics · Physics 2021-09-29 Aliza Abraham , Luis A. Martinez-Tossas , Jiarong Hong

An analytical wind turbine wake model is proposed to predict the wind velocity distribution for all distances downwind of a wind turbine, including the near-wake. This wake model augments the Jensen model and subsequent derivations thereof,…

Fluid Dynamics · Physics 2017-02-02 Aidan Keane , Pablo E. Olmos Aguirre , Hannah Ferchland , Peter Clive , Daniel Gallacher

This paper solves an approximate form of conservation of mass and momentum for a turbine in a wind farm array. The solution is a fairly simple explicit relationship that predicts the streamwise velocity distribution within a wind farm with…

Accurately modeling wind turbine wakes is essential for optimizing wind farm performance but remains a persistent challenge. While the dynamic wake meandering (DWM) model captures unsteady wake behavior, it suffers from near-wake…

Fluid Dynamics · Physics 2025-06-18 Ding Wang , Dachuan Feng , Kangcheng Zhou , Yuntian Chen , Shijun Liao , Shiyi Chen

Within wind farms, wake effects between turbines can significantly reduce overall energy production. Wind farm flow control encompasses methods designed to mitigate these effects through coordinated turbine control. Wake steering, for…

Machine Learning · Computer Science 2025-08-26 Elie Kadoche , Pascal Bianchi , Florence Carton , Philippe Ciblat , Damien Ernst

Low-fidelity analytical models of turbine wakes have traditionally been used for wind farm planning, performance evaluation, and demonstrating the utility of advanced control algorithms in increasing the annual energy production. In…

Fluid Dynamics · Physics 2022-08-26 Aditya H. Bhatt , Federico Bernardoni , Stefano Leonardi , Armin Zare

The unsteady flow physics of wind-turbine wakes under dynamic forcing conditions are critical to the modeling and control of wind farms for optimal power density. Unsteady forcing in the streamwise direction may be generated by unsteady…

Wind farm flow control aims to improve wind turbine performance by reducing aerodynamic wake interaction between turbines. Dynamic, physics-based models of wind farm flows have been essential for exploring control strategies such as wake…

Systems and Control · Electrical Eng. & Systems 2022-11-15 Maarten J. van den Broek , Delphine De Tavernier , Benjamin Sanderse , Jan-Willem van Wingerden

A purely analytical wake model for wind turbines is derived, anchored exclusively in physical interactions between atmospheric turbulence and turbine dynamics, and thus inherently accounting for atmospheric stratification. Unlike empirical…

Atmospheric and Oceanic Physics · Physics 2025-10-21 Emeline Noël , Erwan Jézéquel , Pierre-Antoine Joulin

The development of advanced simulation tools is essential, both presently and in the future, for improving wind-energy design strategies, paving the way for a complete transition to sustainable solutions. The Reynolds-averaged Navier-Stokes…

Fluid Dynamics · Physics 2024-11-19 Ali Amarloo , Navid Zehtabiyan-Rezaie , Mahdi Abkar

Improving the power output from wind farms is vital in transitioning to renewable electricity generation. However, in wind farms, wind turbines often operate in the wake of other turbines, leading to a reduction in the wind speed and the…

Fluid Dynamics · Physics 2024-07-31 Andrew Mole , Sylvain Laizet

With the rapid growth of wind power penetration, wind farms (WFs) are required to implement frequency regulation that active power control to track a given power reference. Due to the wake interaction of the wind turbines (WTs), there is…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Cheng Zhong , Yicheng Ding , Husai Wang , Jikai Chen , Jian Wang , Yang Li

In this paper, a model predictive control scheme for wind farms is presented. Our approach considers wake dynamics including their influence on local wind conditions and allows to track a given power reference. In detail, a Gaussian wake…

Systems and Control · Electrical Eng. & Systems 2024-05-22 Arnold Sterle , Christian A. Hans , Jörg Raisch

This paper presents a closed-loop controller for wind farms to provide active power control services using a high-fidelity computational fluid dynamics based wind plant simulator. The proposed design enhances power tracking stability and…

Systems and Control · Electrical Eng. & Systems 2022-06-15 Jean Gonzalez Silva , Bart Matthijs Doekemeijer , Riccardo Ferrari , Jan-Willem van Wingerden
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