Robust predictive control for heaving wave energy converters

Abstract In this paper, a novel robust model predictive controller (R-MPC) for wave energy converters (WECs) is proposed. The controller combines a constrained function-based predictive controller that is responsible for ensuring maximum power extraction and a local model that compensates for system parametric uncertainties and model mismatches. Laguerre polynomials have been deployed to alleviate the computational burden usually associated with the standard MPC techniques. The computer simulation results show that the R-MPC strategy has produced satisfactory and computationally efficient performance with respect to maximizing the captured power, increasing the power conversion efficiency, and enhancing the power take-off (PTO) utilization.

[1]  Addy Wahyudie,et al.  Simple bottom-up hierarchical control strategy for heaving wave energy converters , 2017 .

[2]  Cédric Join,et al.  Non-linear estimation is easy , 2007, Int. J. Model. Identif. Control..

[3]  Xiao-Ping Zhang,et al.  Modeling and Control of AWS-Based Wave Energy Conversion System Integrated Into Power Grid , 2008, IEEE Transactions on Power Systems.

[4]  Wanan Sheng,et al.  On improving wave energy conversion, part II: Development of latching control technologies , 2015 .

[5]  O. Sawodny,et al.  Nonlinear Model Predictive Control of a Point Absorber Wave Energy Converter , 2013, IEEE Transactions on Sustainable Energy.

[6]  Ali Assi,et al.  Robust and low computational cost controller for improving captured power in heaving wave energy converters , 2015 .

[7]  Ahmed M. Kassem,et al.  Stand Alone Wind Energy Conversion System Based on Functional Predictive Control , 2012 .

[8]  Mohammed Jama Control Strategies for Improving the Performance of Heaving Wave Energy Converters , 2015 .

[9]  Marta Molinas,et al.  Tunable Control Strategy for Wave Energy Converters With Limited Power Takeoff Rating , 2012, IEEE Transactions on Industrial Electronics.

[10]  Torgeir Moan,et al.  Hybrid frequency-time domain models for dynamic response analysis of marine structures , 2008 .

[11]  Ali Assi,et al.  Enhancing the performance of heaving wave energy converters using model-free control approach , 2015 .

[12]  Francesco Fusco,et al.  Short-Term Wave Forecasting for Real-Time Control of Wave Energy Converters , 2010, IEEE Transactions on Sustainable Energy.

[13]  R. Patton,et al.  Numerical and experimental studies of excitation force approximation for wave energy conversion , 2018, Renewable Energy.

[14]  Liuping Wang,et al.  Model Predictive Control System Design and Implementation Using MATLAB , 2009 .

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

[16]  Harold R. Parks,et al.  The Implicit Function Theorem , 2002 .

[17]  Cédric Join,et al.  Model-free control , 2013, Int. J. Control.

[18]  Ion Boldea,et al.  Linear electric actuators and generators , 1997, 1997 IEEE International Electric Machines and Drives Conference Record.

[19]  Xin-She Yang,et al.  Engineering Optimization: An Introduction with Metaheuristic Applications , 2010 .

[20]  Zach Ballard,et al.  Two-Dimensional Nonlinear Analysis of an Untethered Spherical Buoy Due to Wave Loading , 2013 .

[21]  Guang Li,et al.  Model predictive control of sea wave energy converters – Part I: A convex approach for the case of a single device , 2014 .

[22]  Seung-Ki Sul,et al.  Control of Electric Machine Drive Systems , 2011 .

[23]  Michael E. McCormick,et al.  Ocean Engineering Mechanics: With Applications , 2009 .

[24]  Ali Assi,et al.  Function-Based Model Predictive Control Approach for Maximum Power Capture of Heaving Wave Energy Converters , 2014 .

[25]  Shihua Li,et al.  Output feedback domination approach for finite-time force control of an electrohydraulic actuator , 2012 .

[26]  P. Timmerman,et al.  On the rise and fall of a ball with linear or quadratic drag , 1999 .

[27]  Antonio de la Villa Jaén,et al.  Increasing the efficiency of the passive loading strategy for wave energy conversion , 2013 .

[28]  John V. Ringwood,et al.  Hierarchical Robust Control of Oscillating Wave Energy Converters With Uncertain Dynamics , 2014, IEEE Transactions on Sustainable Energy.

[29]  Shu Lin,et al.  Model Predictive Control — Status and Challenges , 2013 .

[30]  John V. Ringwood,et al.  Numerical Optimal Control of Wave Energy Converters , 2015, IEEE Transactions on Sustainable Energy.

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

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

[33]  Liuping Wang Continuous time model predictive control design using orthonormal functions , 2001 .