wecopttool.utilities.linear_solve

linear_solve(bem_data, pto_impedance, wave, kinematics, nsubsteps=1)[source]

Solve a linear problem in the frequency domain with optimal controller.

Parameters:

  • bem_data – Linear hydrodynamic coefficients obtained using the boundary element method (BEM) code Capytaine, with sign convention corrected.

  • pto_impedance – Matrix representing the PTO impedance. Size 2*n_dof.

  • wave – 2D xarray.DataArray containing the wave’s complex amplitude for a single realization as a function of wave angular frequency omega (rad/s) and direction wave_direction (rad).

  • kinematics – Matrix that transforms state from WEC to PTO frame.

  • nsubsteps – Number of steps between the default (implied) time steps. A value of 1 corresponds to the default step length.

Returns:

  • p_opt_average – Average power using optimal controller.

  • tdom – Time domain results.

  • fdom – Frequency domain results.

  • thevenin – Thevenin equivalent system.