Optimal control of wave energy converters

Shangyan Zou, Ossama Abdelkhalik, Rush Robinett, Giorgio Bacelli and David Wilson

Renewable Energy, 2017, vol. 103, issue C, 217-225

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 (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:renene:v:103:y:2017:i:c:p:217-225

DOI: 10.1016/j.renene.2016.11.036

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