Multi-objective optimisation of a sloped-motion, multibody wave energy converter concept

Numerical simulation of a full spine of Edinburgh Duck modules in uni- and multi-directional irregular wave climates, with a view to design optimisation

“…2. 18,20,22,24,26,28,30,32] (2) (3) For example, consider shape function S 18 (x) -this corresponds to roll motion about the second joint along the spine. For all upstream mesh panels (that is, the mesh elements describing ducks 1 and 2 -see Fig.…”

“…Note that the foundation of the methodology set out in this section is the same as that presented in [20], but in this case, with the additional inclusion of wave directionality. Note also that the notation used in this section is presented in Appendix A.…”

“…In this case, T max is taken to be the maximum length of any non-repeating time series, equal to 2π/∆ω ≈ 314s, for which additional justification is given in [20] . Averaging over the ten sets of random phases and summing the power extracted through each of the 28 controlled degrees of freedom, gives the mean power extracted by the duck spine device in a given sea state:…”

“…As presented in [27], the equations of motion of the free modes can then be used to rewrite the equations of motion of the controlled modes (Eqs. 20,21,22), which allows the application of the same method as given in [26].…”