Abstract

One of the concerns regarding numerical simulation of floating wind turbines (FWTs) in waves is underprediction of resonant responses in the low-frequency range. In the present work, the difference-frequency wave loads on a restrained semi-submersible FWT subject to bichromatic waves are investigated by higher-fidelity tools (Computational Fluid Dynamics, CFD) and simplified engineering tools based on potential flow theory with Morison type drag. The effects of mean pitch angle (trim) and the wave force distribution on the multimember semisubmersible are assessed. Compared to the CFD results, wave loads estimated by engineering models are in good agreement at the wave frequencies, while slightly larger differences occur at the surge and pitch natural frequencies. The most significant underprediction of the surge force at the surge natural frequency occurs in the heave plate of the floater. Compared to the upright floater, the increased wave loads on the trimmed floater at the surge natural frequency are more significant than those at the pitch natural frequency. Furthermore, quadratic transfer functions (QTFs) are estimated based on the CFD model with a set of bichromatic wave cases. A new approach is found to use the CFD results to modify the QTFs in lower-fidelity engineering tools. This approach is validated against experimental measurements in irregular waves. Good agreement is achieved between measured and numerically estimated difference-frequency wave loads by engineering tools with modified QTFs.

Highlights

  • Floating wind turbines (FWTs) can harness the energy from winds over deep water and farther offshore

  • Wave loads on the upright and trimmed semi-submersible FWT in bichromatic waves

  • For the phase of surge force and pitch moment quadratic transfer functions (QTFs), the computational fluid dynamics (CFD) model gives approximately the opposite phase compared to the potential flow theory, which illustrates the limitation of the engineering tools in accurately estimating the phase of difference-frequency wave loads

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Summary

Introduction

Floating wind turbines (FWTs) can harness the energy from winds over deep water and farther offshore. Wave loads on individual columns are extracted to better understand how the nonlinear wave loads change among the different components of semi-submersible FWTs. In order to be able to use the CFD results in practical simulations, the difference-frequency wave loads from the bichromatic waves are used to modify the QTFs calculated using potential flow theory. The modified QTFs in the engineering tools are validated by comparing the numerically estimated difference-frequency wave loads in irregular waves against experimental measurements. 4. In Section 5, comparisons of wave exciting loads on the upright and trimmed semi-submersible FWT by CFD and engi­ neering tools are shown first, followed by the estimations and modifi­ cations of QTFs in bichromatic waves and the validations in irregular waves. 1.74 1.73 1.70 1.66 1.50 0.86 0.76 0.70 0.64 0.19 0.12 0.10 throughout the current work

Governing equations
Turbulence model
Boundary conditions
Relaxation zones
Computational domain
Spatial and temporal discretization
Potential flow theory model
Analysis of the numerical data
Estimation of the QTF
Modifying the QTFs in the SIMA models based on the CFD results
Results
Comparisons and modifications of QTFs in bichromatic waves
Validation of modified QTFs against experimental data
Conclusions

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