01 Nov 2021
01 Nov 2021
Status: a revised version of this preprint is currently under review for the journal WES.

Surrogate models for the blade element momentum aerodynamic model using non-intrusive Polynomial Chaos Expansions

Rad Haghi and Curran Crawford Rad Haghi and Curran Crawford
  • Institute for Integrated Energy Systems, University of Victoria, British Columbia, Canada

Abstract. In typical industrial practice based on IEC standards, wind turbine simulations are computed in the time domain for each mean wind speed bin using a few number of unsteady wind seeds. Software such as FAST, BLADED or HAWC2 can be used to capture the unsteadiness and uncertainties of the wind in the simulations. The statistics of these aeroelastic simulations output are extracted and used to calculate fatigue and extreme loads on the wind turbine components. The minimum requirement of having six seeds does not guarantee an accurate estimation of the overall statistics. One solution might be running more seeds; however, this will increase the computation cost. Moreover, to move beyond Blade Element Momentum (BEM) based tools toward vortex/potential flow formulations, a reduction in the computational cost associated with the unsteady flow and uncertainty handling is required. This study illustrates the unsteady wind aerodynamic statistics' stationary character based on the standard turbulence models. This character is shown based on the output of NREL 5MW simulations. Afterwards, we propose a non-intrusive Polynomial Chaos Expansion approach to build a surrogate model of the loads' statistics, NREL 5MW rotor thrust and torque, at each time step, to estimate the extreme statistics more accurately and efficiently.

Rad Haghi and Curran Crawford

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on wes-2021-110', Anonymous Referee #1, 29 Nov 2021
    • AC1: 'Reply on RC1', Rad Haghi, 21 Jan 2022
  • RC2: 'Comment on wes-2021-110', Anonymous Referee #2, 03 Dec 2021
    • AC2: 'Reply on RC2', Rad Haghi, 21 Jan 2022

Rad Haghi and Curran Crawford

Rad Haghi and Curran Crawford


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Short summary
Based on the IEC standards, a limited number of simulations is sufficient to calculate the extreme and fatigue loads on a wind turbine. However, this means inaccuracy in the output statistics. This paper aims to build a surrogate model on BEM aerodynamic model simulations output employing non-intrusive Polynomial Chaos Expansion. The surrogate model is then used in a large number of Monte Carlo simulations to provide an accurate statistical estimate of the loads.