Abstract

This paper studied the resonant behaviors of a bottom-hinged oscillating wave surge converter (OWSC) as well as the relationship of resonance with the response and capture width ratio (CWR). The time-domain dynamic equation of an OWSC in shallow water based on the boundary element method (BEM) was solved by a Python code, considering the corrected wave surface and the nonlinearities of restoring moment, drag, and friction. The unknown factors, such as wave surface corrected factor and drag coefficient, were effectively calibrated with computational fluid dynamics (CFD) method. An intermediate initial angle in free decay is appropriate for use to determine the natural period. Under regular waves, the resonance occurs near the natural period for the uniform wave amplitude, rather than the uniform wave torque amplitude, and can disappear due to the amplification of Power Take-Off (PTO) friction. Under unit-amplitude regular waves, the period of maximum CWR is relatively close to the period of maximum velocity, but far from the resonant period. Under irregular waves, no stable resonance is observed because the maximum equivalent pitch angle appears at different peak periods of wave spectra with the variation in PTO damping. When the period of a regular wave or the peak period of an irregular wave is close to the natural period, a phase hysteresis of velocity relative to wave torque always occurs.

Highlights

  • The bottom-hinged oscillating wave surge converter (OWSC), a nearshore wave energy converter, captures wave energy by oscillating under waves

  • Budal’s upper bound [2] explained that the maximum value of theoretical capture width ratio (CWR) of the flap-type absorber was double that of the axisymmetric point absorber. It was reported in [3] that the bottom-hinged OWSC captures greater mean annual power than most types of wave energy converters (WECs)

  • In the Power Take-Off (PTO) system, the time–averaged capturing power P is given by wφ.w(hthe)reiTenrhteabe wloavceitsyat and te are, respectively, tPhce=betgCeinP−TnOPtinb g=tabtnetdφ.C2e−(ntd)tdttime φ for (t)dt recording angular

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Summary

Introduction

The bottom-hinged oscillating wave surge converter (OWSC), a nearshore wave energy converter, captures wave energy by oscillating under waves. Budal’s upper bound [2] explained that the maximum value of theoretical capture width ratio (CWR) of the flap-type absorber was double that of the axisymmetric point absorber It was reported in [3] that the bottom-hinged OWSC captures greater mean annual power than most types of wave energy converters (WECs). The smoothed particle hydrodynamics (SPH) method, a purely Lagrangian meshless interpolation method [24], was used to accurately simulate the wave intertion with the rectangular OWSCs [25,26] and a cylindrical OWSC [27] The details of these approaches (BEM, CFD, and SPH) were comparatively summarized in [28,29].

Numerical Model Based on BEM
Restoring Moment
Drag Moment
Time Domain Dynamic Equation
Perormance Assessment
Response of Motion
Set-Up in OpenFOAM
BEM Grids
Calibration of BEM with CFD
Validation of BEM against CFD
Findings
Phase Characteristics near the Natural Period
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