Wave Energy System Combined by a Heaving Box and a Perforated Flexible Membrane Wall

Abstract An analytical model of a floating heaving box integrated with a vertical flexible porous membrane placed right next to the box applications to wave energy extraction and breakwater systems is developed under the reduced wave equation. The theoretical solutions for the heave radiating potential to the assigned physical model in the corresponding zones are attained by using the separation of variables approach along with the Fourier expansion. Applying the matching eigenfunction expansion technique and orthogonal conditions, the unknown coefficients that are involved in the radiated potentials are determined. The attained radiation potential allows the computation of hydrodynamic coefficients of the heaving buoy, Power Take-Off damping, and wave quantities. The accuracy of the analytical solution for the hydrodynamic coefficients is demonstrated for different oblique angles with varying numbers of terms in the series solution. The current analytical analysis findings are confirmed by existing published numerical boundary element method simulations. Several numerical results of the hydrodynamic coefficients, power capture, power take-off optimal damping, and transmission coefficients for numerous structural and physical aspects are conducted. It has been noted that the ideal power take-off damping increases as the angle of incidence rises, and the analysis suggests that the ability to capture waves is more effective in shallower waters compared to deeper ones.