Model predictive control of a sea wave energy converter: a convex approach

Abstract This paper investigates model predictive control (MPC) of a sea wave energy converter(WEC). A novel objective function is adopted in the MPC design, which brings obvious benefits: First, the quadratic program (QP) derived from this objective function can be easily convexified, which facilitates the employment of existing efficient optimization algorithms. Second, this novel design can trade off the energy extraction, the energy consumed by the actuator and safe operation. The effectiveness of this MPC strategy is demonstrated by numerical simulations.

[1]  Michael R. Belmont,et al.  Prediction diagrams for deterministic sea wave prediction and the introduction of the data extension prediction method , 2011 .

[2]  P. Naaijen,et al.  Real Time Estimation of Ship Motions in Short Crested Seas , 2009 .

[3]  Alexandra A E Price,et al.  New Perspectives on Wave Energy Converter Control , 2009 .

[4]  Tor Onshus,et al.  The Norwegian wave-power buoy project , 1982 .

[5]  F. Fusco,et al.  A Study of the Prediction Requirements in Real-Time Control of Wave Energy Converters , 2012, IEEE Transactions on Sustainable Energy.

[6]  J. Ringwood,et al.  A control system for a self-reacting point absorber wave energy converter subject to constraints , 2011 .

[7]  W. Gander,et al.  A D.C. OPTIMIZATION ALGORITHM FOR SOLVING THE TRUST-REGION SUBPROBLEM∗ , 1998 .

[8]  Guang Li,et al.  Wave energy converter control by wave prediction and dynamic programming , 2012 .

[9]  T. Moan,et al.  Constrained Optimal Control of a Heaving Buoy Wave-Energy Converter , 2011 .

[10]  F. Fusco,et al.  A Simple and Effective Real-Time Controller for Wave Energy Converters , 2013, IEEE Transactions on Sustainable Energy.

[11]  Guang Li,et al.  Model predictive control of dynamically substructured systems with application to a servohydraulically-actuated mechanical plant , 2010 .

[12]  Gordon Lightbody,et al.  Maximisation of Energy Capture by a Wave-Energy Point Absorber using Model Predictive Control , 2011 .

[13]  Le Thi Hoai An,et al.  A D.C. Optimization Algorithm for Solving the Trust-Region Subproblem , 1998, SIAM J. Optim..

[14]  Ted K.A. Brekken,et al.  On Model Predictive Control for a point absorber Wave Energy Converter , 2011, 2011 IEEE Trondheim PowerTech.

[15]  G. Weiss,et al.  Optimal control of wave energy converters using deterministic sea wave prediction , 2013 .

[16]  Andrew Hulme,et al.  The wave forces acting on a floating hemisphere undergoing forced periodic oscillations , 1982, Journal of Fluid Mechanics.

[17]  Thomas Henry Havelock,et al.  Waves due to a floating sphere making periodic heaving oscillations , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[18]  Kim Nielsen,et al.  Mathematical and numerical modeling of the AquaBuOY wave energy converter. , 2010 .

[19]  Umesh A. Korde,et al.  Latching control of deep water wave energy devices using an active reference , 2002 .

[20]  A. Clément,et al.  Optimal Latching Control of a Wave Energy Device in Regular and Irregular Waves , 2006 .

[21]  Johannes Falnes,et al.  Optimum Control of Oscillation of Wave-Energy Converters , 2002 .

[22]  J. Falnes.  Ocean Waves and Oscillating Systems , 2002 .