Bacelli, Giorgio and Ringwood, John (2011) A Geometrical Interpretation of Force and Position Constraints in the Optimal Control of Wave Energy Devices. Proceedings of the 9th European Wave and Tidal Energy Conference (EWTEC).
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Abstract
Physical constraints need to be considered in the
design of control systems for an oscillating body Wave Energy
Converter (WEC). In the case of a hydraulic Power Take Off
(PTO) unit, such constraints include the length of the stroke of
a hydraulic piston or the maximum pressure permitted in the
hydraulic circuit. In the paper, two types of WEC are considered:
A 1-body point absorber oscillating in heave and a 2-body point
absorber also oscillating in heave. A procedure for the analysis of
the constraints is presented. It provides sufficient conditions for
the satisfaction of both constraints and/or the violation of at least
one constraint. The procedure is based on the discretization of
the equations of motion of the WECs by approximating the forces
and the velocities with a linear combination of basis functions.
A special case is presented in which truncated Fourier series are
used for the approximation. It is shown that the constraints can
be interpreted as a geometrical object in a finite dimensional
vector space, and that the study of sufficient conditions for the
satisfaction of both constraints and for sufficient conditions for
the violation of at least one constraint can be seen as the study
of the intersection between these geometrical objects. It is also
shown that the method allows the study of the effect of constraints
on the amount of produced energy.
Item Type: | Article |
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Keywords: | WEC; Single body; Self reacting; Control; Constraints; |
Academic Unit: | Faculty of Science and Engineering > Electronic Engineering Faculty of Science and Engineering > Research Institutes > Centre for Ocean Energy Research |
Item ID: | 3549 |
Depositing User: | Professor John Ringwood |
Date Deposited: | 30 Mar 2012 09:25 |
Journal or Publication Title: | Proceedings of the 9th European Wave and Tidal Energy Conference (EWTEC) |
Publisher: | School of Civil Engineering and the Environment, University of Southampton |
Refereed: | Yes |
Related URLs: | |
URI: | https://mural.maynoothuniversity.ie/id/eprint/3549 |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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