Along-wind and cross-wind coupled nonlinear oscillations of wind turbine towers close to 1:1 internal resonance

Stefano Lenci

Renewable and Sustainable Energy Reviews, 2023, vol. 187, issue C

Abstract: An approximate analytical solution is obtained to detect the along-wind and cross-wind coupled oscillations of wind turbine towers, in the neighbourhood of a 1:1 internal resonance. The obtained formulas are general, and they are applied to the NREL 5-MW reference wind turbine. It is shown that the coupled solution is branched (by a pitchfork bifurcation) from the main uncoupled along-wind oscillation. The coupled motion is initially stable, but for increasing excitation amplitudes it becomes unstable in favour of quasi-periodic solutions, a fact that is particularly dangerous from a practical point of view and so must be avoided. The critical threshold is determined for varying excitation amplitude, and the analytical solution is checked by means of numerical simulations.

Keywords: Nonlinear dynamics; Wind turbine towers; Along-wind oscillation; Cross-wind oscillation; Internal resonance; Coupled nonlinear vibrations (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1016/j.rser.2023.113698

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