Discrete control of resonant wave energy devices by A. H. Clément, and A. Babarit Philosophical Transactions A Volume 370(1959):288-314 January 28, 2012.

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Presentation transcript:

Discrete control of resonant wave energy devices by A. H. Clément, and A. Babarit Philosophical Transactions A Volume 370(1959): January 28, 2012 ©2012 by The Royal Society

The heaving cylinder: a generic 1 d.f. wave energy converter. A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

The generic 1 d.f. wave energy converter in latching mode. A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

Optimal solutions for latching with alternated maxima in regular waves; harmonic (k=0) and sub- harmonic (k=1,2) solutions (dashed lines, no control; solid lines, latching control). A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

Optimal solutions for latching with equal ending ramps in regular waves; harmonic (l=0) and sub-harmonic (l=1,2) solutions (dashed lines, no control; solid lines, latching control). A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

One degree of freedom heaving device; power absorbed in harmonic and first sub-harmonic latching modes, compared with uncontrolled, and ideal modes (solid line, without control; squares, latching: Tout=Tin; circles, latching: Tout=3×Tin; dashed dotted line,... A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

1 d.f. heaving device in irregular waves. A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

Response of a heaving cylinder in regular waves with (solid lines) and without (dashed line) declutching control. A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

Response of a heaving cylinder in irregular waves with (dashed lines) and without (solid lines) declutching control. A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

2 d.f. heaving wave energy converter: definition sketch. A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

(a–d) Simulations of the response of the 2 d.f. wave energy device in regular waves; under latching control, declutching control or latched–operating–declutched control. A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

(a–d) Simulations of the response of the 2 d.f. wave energy device under latched–operating– declutched control, with different values of the latching damping G0. A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

2 d.f. wave energy device under latched–operating–declutched control with varying time constants. A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

Power curves of the 2 d.f. wave energy device in regular waves under the three discrete control strategies (thick line, without control; right-facing triangles, latching; thin line, theoretical maximum; diamonds, declutching; squares, latched–operating–decl... A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

(a–d) Response of the 2 d.f. wave energy device with latched–operating–declutched in random waves. A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society

(a–d) Power function of the 2 d.f. wave energy converter versus peak period Tp in random waves, under latching, declutching or latched–operating–declutched control with four values of the power take-off damping B0. A. H. Clément, and A. Babarit Phil. Trans. R. Soc. A 2012;370: ©2012 by The Royal Society