Optimal control of wave energy converters

Highlights

Optimal control of wave energy converters is derived within the context of optimal control theory.

A singular arc control is derived.

Actuation limitation is considered in the optimal control.

Test cases are presented for various case studies.

Abstract

Optimal control theory is applied to compute control for a single-degree-of-freedom heave wave energy converter. The goal is to maximize the energy extraction per cycle. Both constrained and unconstrained optimal control problems are presented. Both periodic and non-periodic excitation forces are considered. In contrast to prior work, it is shown that for this non-autonomous system, the optimal control, in general, includes both singular arc and bang-bang modes. Conditions that determine the switching times to/from the singular arc are derived. Simulation results show that the proposed optimal control solution matches the solution obtained using the complex conjugate control. A generic linear dynamic model is used in the simulations. The main advantage of the proposed control is that it finds the optimal control without the need for wave prediction; it only requires the knowledge of the excitation force and its derivatives at the current time.

Keywords

  • Wave energy conversion;
  • Singular arc control;
  • Optimal control;
  • Bang-bang control

Be the first to comment

Leave a Reply

Your email address will not be published.


*