Shape Optimization of Wave Energy Converters for Broadband Directional Incident Waves

TL;DR

This study systematically optimizes the shape of wave energy converters using high performance computing and genetic algorithms, revealing shapes that significantly improve energy absorption under various wave conditions.

Contribution

Introduces a Fourier-based parametric shape description and applies genetic algorithms to optimize wave energy converter shapes for broadband incident waves.

Findings

Optimized shapes can absorb several times more energy than circular shapes.

Elongated shapes are optimal for unidirectional waves.

Butterfly-shaped designs are optimal for directional waves.

Abstract

Here, through a systematic methodology and the use of high performance computing, we calculate the optimum shape for a wave energy converter under the action of incident waves of (i) monochromatic unidirectional, (ii) monochromatic directional, (iii) polychromatic unidirectional and (iv) polychromatic directional (with both directional symmetry and asymmetry). As a benchmark for our study, without loss of generality, we consider a submerged planar pressure differential wave energy converter, and use Genetic Algorithm to search through a wide range of shapes. A new parametric description of absorber shape based on Fourier decomposition of geometrical shapes is introduced, and for each shape hydrodynamic coefficients are calculated, optimum power take-o? parameters are obtained, and overall efficiency is determined. We show that an optimum geometry of the absorber plate can absorb a significantly higher energy (in some cases a few times higher) when compared to a circular shape of the same area. Specifically, for a unidirectional incident wave, the optimum shape, as expected, is obtained to be the most elongated shape. For directional incident waves, a butterfly-shape is the optimum geometry whose details depend on not only the amplitude and direction of incident wave components, but also the relative phases of those components. For the latter effect, we find an optimally averaged profile through a statistical analysis. Keywords: Wave energy conversion, Shape optimization