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This paper presents a theory based on the law of momentum conservation to define and help analyse the problem of large wind farm aerodynamics. The theory splits the problem into two sub-problems; namely an 'external' (or farm-scale)…

Fluid Dynamics · Physics 2020-10-13 Takafumi Nishino , Thomas D. Dunstan

To achieve decarbonization targets, wind turbines are growing in hub height, rotor diameter, and are being deployed in new locations with diverse atmospheric conditions not previously seen, such as offshore. Physics-based analytical wake…

Fluid Dynamics · Physics 2024-05-10 Kerry S. Klemmer , Michael F. Howland

Analytical wake models provide a computationally efficient means to predict velocity distributions in wind turbine wakes in the atmospheric boundary layer (ABL). Most existing models are developed for neutral atmospheric conditions and…

Fluid Dynamics · Physics 2024-12-17 Ghanesh Narasimhan , Dennice F. Gayme , Charles Meneveau

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

Active power control regulates the total power generated by wind farms with the power consumed on the electricity grid. Due to wake effects, the available power is reduced and turbulence is increased at downstream wind turbines. Such…

Systems and Control · Electrical Eng. & Systems 2021-04-09 Jean Gonzalez Silva , Bart Doekemeijer , Riccardo Ferrari , Jan-Willem van Wingerden

Turbine wake and local blockage effects are known to alter wind farm power production in two different ways: (1) by changing the wind speed locally in front of each turbine; and (2) by changing the overall flow resistance in the farm and…

Fluid Dynamics · Physics 2023-01-05 Andrew Kirby , François-Xavier Briol , Thomas D. Dunstan , Takafumi Nishino

In this study, we present an improved formulation for the wake-added turbulence to enhance the accuracy of intra-farm and farm-to-farm wake modeling through analytical frameworks. Our goal is to address the tendency of a commonly used…

Fluid Dynamics · Physics 2024-12-11 Navid Zehtabiyan-Rezaie , Josephine Perto Justsen , Mahdi Abkar

This paper presents a new generation of fast-running physics-based models to predict the wake of a semi-infinite wind farm, extending infinitely in the lateral direction but with finite size in the streamwise direction. The assumption of a…

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

This paper presents a computationally efficient, linearised numerical method for modelling aerodynamic interactions between wind farms. The linearised two-dimensional incompressible equations are solved using Fourier transforms in the…

Fluid Dynamics · Physics 2026-05-07 Alexia Everley , Hossein A. Kafiabad , Majid Bastankhah

Fluctuations represent a major challenge for the incorporation of electric power from large wind-farms into power grids. Wind farm power output fluctuates strongly in time, over various time scales. Understanding these fluctuations,…

Fluid Dynamics · Physics 2014-12-24 Richard J. A. M. Stevens , Charles Meneveau

Yaw control has proven to be promising in alleviating the wake effects that plague the efficiency of wind farms. In this work, the actuator line modeling (ALM) method is adopted to simulate the flows over two tandem turbines distanced by $3…

Fluid Dynamics · Physics 2023-02-06 Yu Tu , Kai Zhang , Zhaolong Han , Dai Zhou , Onur Bilgen

Many wind farms are placed near coastal regions or in proximity of orographic obstacles. The meso-scale gradients that develop in these zones make wind farms operating in velocity fields that are rarely uniform. However, all existing…

Fluid Dynamics · Physics 2023-02-15 Luca Lanzilao , Johan Meyers

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

Power loss mechanisms in large wind farms are complex due to the multiscale nature of wind farm aerodynamics. Recent studies based on the two-scale momentum theory have brought new insights into this field; however, most of them have been…

Fluid Dynamics · Physics 2025-08-06 Takafumi Nishino , Amanda S. M. Smyth

This work introduces the Area Localized Coupled (ALC) model, which extends earlier approaches to coupling classical wake superposition and atmospheric boundary layer models in order to enable applicability to arbitrary wind-farm layouts.…

Fluid Dynamics · Physics 2024-06-19 Genevieve M. Starke , Charles Meneveau , Jennifer R. King , Dennice F. Gayme

The fluid dynamics video considers an array of two NREL 5-MW turbines separated by seven rotor diameters in a neutral atmospheric boundary layer (ABL). The neutral atmospheric boundary-layer flow data were obtained from a precursor ABL…

Fluid Dynamics · Physics 2013-10-15 Jessica L. Bashioum , Pankaj K. Jha , Sven Schmitz , Earl P. N. Duque

We present a novel approach to optimize wind farm layouts for maximum annual energy production (AEP). The optimization effort requires efficient wake models to predict the wake flow and, subsequently, the power generation of wind farms with…

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

This paper proposes a novel approach for optimal energy and reserve scheduling of wind farms by explicitly modelling wake interactions to enhance market participation and operational efficiency. Conventional methods often neglect wake…

Fluid Dynamics · Physics 2026-04-14 Marin Mabboux-Fort , Majid Bastankhah , Peter C Matthews , Mokhtar Bozorg