A linear wake expansion function for the double‐Gaussian analytical wake model

Abstract

The double-Gaussian (DG) approach for analytical wake modeling leads to a better understanding of the wake transition mechanism within a full-wake region behind a non-yawed horizontal-axis wind turbine (HAWT). To date, a key parameter of the wake expansion in the DG model still has yet to be defined explicitly instead of tuning, thus limiting its usability for practical applications. The present work aims to overcome this limitation by proposing a simple linear wake expansion function for the DG model constructed from the existing parameters based on the conservation of mass and momentum. Considering the physical and statistical approaches, the proposed function is

Further improvements to the double-Gaussian wake model

“…Schreiber et al [9] assumed x 0 to be identical to the outlet of a Betz stream tube and fitted it to available data. Keane et al [7] set it to zero while, in Soesanto et al [12,13], x 0 is determined from a semi-analytical relation. In this work, the introduction of the parameter a ϵ yields a way of accounting for a mismatch between the initial wake position and the initial wake width.…”

“…[12] proposed to refine the model by introducing two separate decay functions in the horizontal and vertical directions, allowing for a non-circular wake outline. In [13], the authors further introduced a wake decay function based on the potential core theory [14].…”