Derivation and verification of three-dimensional wake model of multiple wind turbines based on super-Gaussian function

Zhang, Shaohai; Gao, Xiaoxia; Ma, Wenqi; Lu, Hongkun; Lv, Tao; Xu, Shinai; Xiao-hong, Zhu; Sun, Haiying; Wang, Yu

doi:10.1016/j.renene.2023.118968

Cited by 8 publications

(2 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Although other analytical models exist that take into account three-dimensional wakes and vertical wind shear, such as the one presented by Zhao [21], the linear model by Jensen [22], which focuses on two-dimensional wakes, is widely adopted in optimization methods. This empirical-analytical model is also widely used to estimate the wind speed within the wake [23]. Due to its speed and ease of programming, it is particularly suitable for wind farm layout systems, both onshore and offshore, predicting a linear expansion of the wake [24,25].…”

Section: Introductionmentioning

confidence: 99%

A New Study on the Effect of the Partial Wake Generated in a Wind Farm

Zergane,

Farsi,

Amroune

et al. 2024

Energies

View full text Add to dashboard Cite

In this article, we present an investigative study on the often-overlooked partial wake phenomenon in previous studies concerning wind farm configurations. A partial wake occurs when a portion of the actuator disk of a downstream wind turbine is affected by the wake of another upstream turbine. This phenomenon occurs in addition to the full wake, where the entire upstream turbine is affected by the wake of the frontal turbine, also leading to a decrease in wind speed and consequently a reduction in power production. The proposed study is based on measuring the power generated by the area swept by the wake of an array of turbines in a wind farm. To accomplish this, we integrate the linear wake model of Jensen, the specifications of the ENERCON E2 wind turbine, and the wind farm data into Matlab-developed software (version 18) to perform the calculations. In a concrete application, this proposed method is validated by reproducing the previous works that neglected the partial wake in wind farm configurations. The simulation results obtained are analyzed, compared, and discussed under similar operational conditions.

show abstract

Section: Introductionmentioning

confidence: 99%

A New Study on the Effect of the Partial Wake Generated in a Wind Farm

Zergane,

Farsi,

Amroune

et al. 2024

Energies

View full text Add to dashboard Cite

show abstract

“…In the pioneering work by Lissaman [12], approaches to account for the ground and nonuniform inflow effects were suggested: (1) modeling the retarding effect of the ground on wake expansion using an imaging technique; (2) assuming the streamwise deficit distribution for the boundary layer inflow being identical to the uniform inflow; and (3) employing distinct upper and lower wake expansion rates to account for the vertical variation of turbulence intensity. Recent analytical wake models have employed approaches similar to those suggested by Lissaman to account for the atmospheric inflow effects [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Upward Shift of Wind Turbine Wakes in Large Wind Farms

Wang,

Yang

2023

Energies

View full text Add to dashboard Cite

A detailed description of wake characteristics is essential for optimizing wind farm performance. Compared with the wake of a stand-alone wind turbine, less attention has been paid to wind turbine wakes in large wind farms. In this work, we investigate the vertical position of wakes for wind turbines in large wind farms with different streamwise turbine spacings and ground roughness lengths using large-eddy simulation with an actuator disk model. The simulation results reveal an upward shift of the wake center (defined as the position with the maximum velocity deficit) for the wind turbine deeply arrayed in the wind farm. Larger upward shifts of the wake center are observed for wind turbines in further downstream rows and wind turbines installed on the ground with higher roughness, for which the wake expands at a higher rate. It is conjectured that the upward shift of the wake center is caused by the upward shift of the turbulence-dominated momentum entrainment region and the constraint of ground on wake expansion. An analytical wake model incorporating the upward-shifting wake center was developed. In the proposed model, different expansion rates are employed for the lower and upper wake regions. The upward shift of the wake center is directly taken into account using the large-eddy simulation results. The comparison with the large-eddy simulation results demonstrates the importance of accounting for the upward shift of the wake center in analytical wake models.

show abstract