Control of a Point Absorber Using Reinforcement Learning

This work presents the application of reinforcement learning for the optimal resistive control of a point absorber. The model-free Q-learning algorithm is selected in order to maximise energy absorption in each sea state. Step changes are made to the controller damping, observing the associated penalty, for excessive motions, or reward, i.e. gain in associated power. Due to the general periodicity of gravity waves, the absorbed power is averaged over a time horizon lasting several wave periods. The performance of the algorithm is assessed through the numerical simulation of a point absorber subject to motions in heave in both regular and irregular waves. The algorithm is found to converge towards the optimal controller damping in each sea state. Additionally, the model-free approach ensures the algorithm can adapt to changes to the device hydrodynamics over time and is unbiased by modelling errors.

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

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

[3]  Ross Henderson,et al.  Design, simulation, and testing of a novel hydraulic power take-off system for the Pelamis wave energy converter , 2006 .

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

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

[6]  Joao Cruz,et al.  Ocean Wave Energy , 2008 .

[7]  Frank L. Lewis,et al.  Reinforcement learning and optimal adaptive control: An overview and implementation examples , 2012, Annu. Rev. Control..

[8]  Paolo Mattavelli,et al.  Effect of Control Strategies and Power Take-Off Efficiency on the Power Capture From Sea Waves , 2011, IEEE Transactions on Energy Conversion.

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

[10]  Leo H. Holthuijsen,et al.  Waves in Oceanic and Coastal Waters , 2007 .

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

[12]  Zhe Zhang,et al.  Reinforcement-Learning-Based Intelligent Maximum Power Point Tracking Control for Wind Energy Conversion Systems , 2015, IEEE Transactions on Industrial Electronics.

[13]  W. Cummins THE IMPULSE RESPONSE FUNCTION AND SHIP MOTIONS , 2010 .

[14]  W. E. Cummins,et al.  The Impulse Response Function and Ship Motion , 1962 .

[15]  Aurélien Babarit,et al.  Comparison of latching control strategies for a heaving wave energy device in random sea , 2004 .

[16]  Johannes Falnes,et al.  Optimum operation of wave power converter , 1976 .

[17]  António F.O. Falcão,et al.  Phase control through load control of oscillating-body wave energy converters with hydraulic PTO system , 2008 .

[18]  Oliver Sawodny,et al.  Decentralized Model Predictive Control for Wave Energy Converter Arrays , 2014, IEEE Transactions on Sustainable Energy.

[19]  Rico Hjerm Hansen,et al.  Effects of hydrodynamic interactions and control within a point absorber array on electrical output , 2015 .

[20]  John V. Ringwood,et al.  Energy-Maximizing Control of Wave-Energy Converters: The Development of Control System Technology to Optimize Their Operation , 2014, IEEE Control Systems.

[21]  Oliver Sawodny,et al.  Model Predictive Control of a Nonlinear 2-Body Point Absorber Wave Energy Converter With Estimated State Feedback , 2015, IEEE Transactions on Sustainable Energy.

[22]  António F.O. Falcão,et al.  Wave energy utilization: A review of the technologies , 2010 .

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

[24]  António F.O. Falcão,et al.  Modelling and control of oscillating-body wave energy converters with hydraulic power take-off and gas accumulator , 2007 .

[25]  S H Salter,et al.  Power conversion mechanisms for wave energy , 2002 .

[26]  Trondheim,et al.  ASSESSING THE GLOBAL WAVE ENERGY POTENTIAL , 2010 .

[27]  Oliver Sawodny,et al.  Centralised model predictive controller design for wave energy converter arrays , 2015 .

[28]  A. Robin Wallace,et al.  A Fully Coupled Wave-to-Wire Model of an Array of Wave Energy Converters , 2016, IEEE Transactions on Sustainable Energy.