Using polynomial chaos expansion for wind energy

Master Thesis (2018)
Author(s)

W.P. Bailleul (TU Delft - Aerospace Engineering)

Contributor(s)

Erik Quaeghebeur – Mentor

S.J. Watson – Graduation committee member

Oswaldo Morales Napoles – Graduation committee member

Faculty
Aerospace Engineering
Copyright
© 2018 Wouter Bailleul
More Info
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Publication Year
2018
Language
English
Copyright
© 2018 Wouter Bailleul
Graduation Date
29-06-2018
Awarding Institution
Delft University of Technology
Programme
['Aerospace Engineering | Aerodynamics and Wind Energy']
Faculty
Aerospace Engineering
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Abstract

Surrogate models are used to approximate the expensive ‘true’ simulation codes and thus have the potential to speed up the wind farm layout optimisation problem (WFLOP). One technique to make surrogate models is Polynomial Chaos Expansion (PCE). PCE can approximate a (wind farm) model by using orthogonal polynomials which are constructed based on input variables. In case of a wind farm model, these are wind speed and wind direction. The technique sounds promising, but up till now, PCE has mainly been used as an uncertainty quantification method and not as much in order to help with optimisation problems. This thesis research project aims to implement the PCE method in WFLOP by implementing a multivariate polynomial basis based on the wind speed and wind direction. The usability of the method will be determined based on a comparison between the WFLOP results of the PCE surrogate model and the conventional approach.

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