Abstract
The turbulent wind is the resource for wind turbines as well as the operating condition for the conversion process from wind into electrical energy. In this chapter, the fundamental aspects of turbulence are considered. The characteristics of turbulence are discussed based on common practices within the wind energy industry with the aim of a standardized characterization as well as the approaches of the scientific turbulence community. These different methods are discussed with respect to the description and quantification of statistical aspects. The aim of this chapter is to provide substantial background information on turbulence, important for an advanced understanding of the operating conditions of wind turbines.
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Notes
- 1.
The concept of Taylor’s frozen turbulence hypothesis can be extended to higher turbulence degrees by the concept of local Taylor’s hypothesis.
- 2.
Extreme wind speeds and gust wind speeds are defined by Vref via separate equations (cf. IEC Standard 2019).
- 3.
For the covariances, one has to pay attention if u or u′ is taken; for the structure function, any mean value will drop out, due to the definition of the increment ur = u(x + r) − u(x) = u′(x + r) − u′(x).
- 4.
As this was done during wartime, there was not much communication about this result; thus, these findings are also worked out independently by Weiszäcker and Heisenberg as well as by Onsager (cf. Frisch and Kolmogorov 1995).
- 5.
The turbulent energy ε is defined as energy per mass and time.
- 6.
One has to pay attention that the word intermittency is used also for other, different phenomena, like in chaos or for switches between laminar and turbulent phases.
- 7.
The symbol \(\tilde {\lambda }\) is used to make a difference to the Taylor length.
- 8.
An open-source software package is available to perform such analysis with given data (github.com/andre-fuchs-uni-oldenburg/).
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Peinke, J., Wächter, M., Cal, R.B. (2022). Introduction to Turbulence. In: Stoevesandt, B., Schepers, G., Fuglsang, P., Sun, Y. (eds) Handbook of Wind Energy Aerodynamics. Springer, Cham. https://doi.org/10.1007/978-3-030-31307-4_41
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