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Title: Model Predictive Control of parametric excited pitch-surge modes in wave energy converters

Abstract

For a heave-pitch-surge three-degrees-of-freedom wave energy converter, the heave mode is usually decoupled from the pitch-surge modes for small motions. The pitch-surge modes are usually coupled and are parametrically excited by the heave mode, depending on the buoy geometry. In this paper, a Model Predictive Control is applied to the parametric excited pitch-surge motion, while the heave motion is optimized independently. The optimality conditions are derived, and a gradient-based numerical optimization algorithm is used to search for the optimal control. Numerical tests are conducted for regular and Bretschneider waves. The results demonstrate that the proposed control can be implemented to harvest more than three times the energy that can be harvested using a heave-only wave energy converter. As a result, the energy harvested using a parametrically excited model is higher than that is harvested when using a linear model.

Authors:
 [1]; ORCiD logo [1];  [1];  [1];  [2];  [2];  [2]
  1. Michigan Technological Univ., Houghton, MI (United States)
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Wind and Water Technologies Office (EE-4W)
OSTI Identifier:
1485453
Alternate Identifier(s):
OSTI ID: 1496468
Report Number(s):
SAND-2018-12264J
Journal ID: ISSN 2214-1669; 669161
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
International Journal of Marine Energy
Additional Journal Information:
Journal Volume: 19; Journal Issue: C; Journal ID: ISSN 2214-1669
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
16 TIDAL AND WAVE POWER; Wave energy conversion; Parametric excited wave energy conversion; Pitch-surge control; Model Predictive Control

Citation Formats

Zou, Shangyan, Abdelkhalik, Ossama, Robinett, III, Rush D., Korde, Umesh A., Bacelli, Giorgio, Wilson, David G., and Coe, Ryan. Model Predictive Control of parametric excited pitch-surge modes in wave energy converters. United States: N. p., 2017. Web. doi:10.1016/j.ijome.2017.05.002.
Zou, Shangyan, Abdelkhalik, Ossama, Robinett, III, Rush D., Korde, Umesh A., Bacelli, Giorgio, Wilson, David G., & Coe, Ryan. Model Predictive Control of parametric excited pitch-surge modes in wave energy converters. United States. https://doi.org/10.1016/j.ijome.2017.05.002
Zou, Shangyan, Abdelkhalik, Ossama, Robinett, III, Rush D., Korde, Umesh A., Bacelli, Giorgio, Wilson, David G., and Coe, Ryan. Wed . "Model Predictive Control of parametric excited pitch-surge modes in wave energy converters". United States. https://doi.org/10.1016/j.ijome.2017.05.002. https://www.osti.gov/servlets/purl/1485453.
@article{osti_1485453,
title = {Model Predictive Control of parametric excited pitch-surge modes in wave energy converters},
author = {Zou, Shangyan and Abdelkhalik, Ossama and Robinett, III, Rush D. and Korde, Umesh A. and Bacelli, Giorgio and Wilson, David G. and Coe, Ryan},
abstractNote = {For a heave-pitch-surge three-degrees-of-freedom wave energy converter, the heave mode is usually decoupled from the pitch-surge modes for small motions. The pitch-surge modes are usually coupled and are parametrically excited by the heave mode, depending on the buoy geometry. In this paper, a Model Predictive Control is applied to the parametric excited pitch-surge motion, while the heave motion is optimized independently. The optimality conditions are derived, and a gradient-based numerical optimization algorithm is used to search for the optimal control. Numerical tests are conducted for regular and Bretschneider waves. The results demonstrate that the proposed control can be implemented to harvest more than three times the energy that can be harvested using a heave-only wave energy converter. As a result, the energy harvested using a parametrically excited model is higher than that is harvested when using a linear model.},
doi = {10.1016/j.ijome.2017.05.002},
journal = {International Journal of Marine Energy},
number = C,
volume = 19,
place = {United States},
year = {2017},
month = {5}
}

Journal Article:

Figures / Tables:

Figure 1 Figure 1: Geometry of water level a 3-DoF cylindrical Buoy; MWL is the mean

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Works referenced in this record:

A review of wave energy converter technology
journal, December 2009

  • Drew, B.; Plummer, A. R.; Sahinkaya, M. N.
  • Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy, Vol. 223, Issue 8
  • DOI: 10.1243/09576509JPE782

A theory for wave-power absorption by oscillating bodies
journal, September 1976


Power Extraction from Water Waves
journal, June 1976


A review of wave-energy extraction
journal, October 2007


On control approaches for efficient primary energy conversion in irregular waves
conference, January 1998

  • Korde, U. A.
  • IEEE Oceanic Engineering Society. OCEANS'98. Conference Proceedings (Cat. No.98CH36259)
  • DOI: 10.1109/OCEANS.1998.726305

Hierarchical Robust Control of Oscillating Wave Energy Converters With Uncertain Dynamics
journal, July 2014

  • Fusco, Francesco; Ringwood, John V.
  • IEEE Transactions on Sustainable Energy, Vol. 5, Issue 3
  • DOI: 10.1109/TSTE.2014.2313479

Optimal causal control of a wave energy converter in a random sea
journal, August 2013


Maximisation of Energy Capture by a Wave-Energy Point Absorber using Model Predictive Control
journal, January 2011


Decentralized Model Predictive Control for Wave Energy Converter Arrays
journal, October 2014

  • Oetinger, Daniela; Magana, Mario E.; Sawodny, Oliver
  • IEEE Transactions on Sustainable Energy, Vol. 5, Issue 4
  • DOI: 10.1109/TSTE.2014.2330824

Model Predictive Control of Buoy Type Wave Energy Converter
journal, January 2014


Multi-input control-affine systems static feedback equivalent to a triangular form and their flatness
journal, September 2015


Constrained Optimal Control of a Heaving Buoy Wave-Energy Converter
journal, November 2010

  • Hals, Jørgen; Falnes, Johannes; Moan, Torgeir
  • Journal of Offshore Mechanics and Arctic Engineering, Vol. 133, Issue 1
  • DOI: 10.1115/1.4001431

A Comparison of Selected Strategies for Adaptive Control of Wave Energy Converters
journal, March 2011

  • Hals, Jørgen; Falnes, Johannes; Moan, Torgeir
  • Journal of Offshore Mechanics and Arctic Engineering, Vol. 133, Issue 3
  • DOI: 10.1115/1.4002735

Deterministic wave model for short-crested ocean waves: Part I. Theory and numerical scheme
journal, August 1999


An application of the Fast Fourier Transform to the short-term prediction of sea wave behaviour
journal, June 2011


The Independent Variable Interpolation Technique for Nonuniformly Sampled Shallow-Angle Lidar Data
journal, December 2011


Short-Term Wave Forecasting for Real-Time Control of Wave Energy Converters
journal, July 2010

  • Fusco, Francesco; Ringwood, John V.
  • IEEE Transactions on Sustainable Energy, Vol. 1, Issue 2
  • DOI: 10.1109/TSTE.2010.2047414

Works referencing / citing this record:

Control of Three Degrees-of-Freedom Wave Energy Converters Using Pseudo-Spectral Methods
journal, January 2018

  • Abdelkhalik, Ossama; Zou, Shangyan; Robinett, Rush
  • Journal of Dynamic Systems, Measurement, and Control, Vol. 140, Issue 7
  • DOI: 10.1115/1.4038860

Control Strategies Applied to Wave Energy Converters: State of the Art
journal, August 2019

  • Maria-Arenas, Aleix; Garrido, Aitor J.; Rusu, Eugen
  • Energies, Vol. 12, Issue 16
  • DOI: 10.3390/en12163115

Towards Reduced-Order Models of Solid Oxide Fuel Cell
journal, July 2018