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Title: Discrete-Time Causal Control of a Wave Energy Converter With Finite Stroke in Stochastic Waves

Abstract

We consider feedback control design for a wave energy converter (WEC) for which the power takeoff (PTO) system has a finite stroke limit. Stationary stochastic wave loading is assumed, with a known spectrum, and the plant dynamics are assumed to be linear. We develop a technique for the design of a discrete-time controller, which has three design stages. In the first stage, a linear controller is optimized while imposing a relaxation of the maximum stroke constraint on the design. In the second stage, a tandem nonlinear feedback loop is designed for the purpose of stroke protection. In the third stage, the two designs (linear and nonlinear) are fused in a manner that preserves the stability of the overall system. The technique is demonstrated in a simulation of a simple cylindrical buoy. We show that the controller may be tuned through the adjustment of scalar design parameters, which adjust the tradeoff between the mean generated power and the force levels required to protect the stroke.

Authors:
 [1];  [2];  [3];  [3]
  1. Univ. of Texas at Dallas, Richardson, TX (United States)
  2. Univ. of Michigan, Ann Arbor, MI (United States)
  3. Re Vision Consulting, LLC, Sacramento, CA (United States)
Publication Date:
Research Org.:
Re Vision Consulting, LLC, Sacramento, CA (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Water Power Technologies Office
OSTI Identifier:
1856261
Alternate Identifier(s):
OSTI ID: 1856252; OSTI ID: 1856263
Grant/Contract Number:  
EE0007173; EE0008099; EE008099
Resource Type:
Accepted Manuscript
Journal Name:
IEEE Transactions on Control Systems Technology
Additional Journal Information:
Journal Volume: 30; Journal Issue: 3; Journal ID: ISSN 1063-6536
Publisher:
IEEE
Country of Publication:
United States
Language:
English
Subject:
16 TIDAL AND WAVE POWER; nonlinear control; ocean wave energy; stochastic control

Citation Formats

Lao, Yejun, Scruggs, Jeffrey T., Karthikeyan, Anantha, and Previsic, Mirko. Discrete-Time Causal Control of a Wave Energy Converter With Finite Stroke in Stochastic Waves. United States: N. p., 2021. Web. doi:10.1109/TCST.2021.3100463.
Lao, Yejun, Scruggs, Jeffrey T., Karthikeyan, Anantha, & Previsic, Mirko. Discrete-Time Causal Control of a Wave Energy Converter With Finite Stroke in Stochastic Waves. United States. https://doi.org/10.1109/TCST.2021.3100463
Lao, Yejun, Scruggs, Jeffrey T., Karthikeyan, Anantha, and Previsic, Mirko. Thu . "Discrete-Time Causal Control of a Wave Energy Converter With Finite Stroke in Stochastic Waves". United States. https://doi.org/10.1109/TCST.2021.3100463. https://www.osti.gov/servlets/purl/1856261.
@article{osti_1856261,
title = {Discrete-Time Causal Control of a Wave Energy Converter With Finite Stroke in Stochastic Waves},
author = {Lao, Yejun and Scruggs, Jeffrey T. and Karthikeyan, Anantha and Previsic, Mirko},
abstractNote = {We consider feedback control design for a wave energy converter (WEC) for which the power takeoff (PTO) system has a finite stroke limit. Stationary stochastic wave loading is assumed, with a known spectrum, and the plant dynamics are assumed to be linear. We develop a technique for the design of a discrete-time controller, which has three design stages. In the first stage, a linear controller is optimized while imposing a relaxation of the maximum stroke constraint on the design. In the second stage, a tandem nonlinear feedback loop is designed for the purpose of stroke protection. In the third stage, the two designs (linear and nonlinear) are fused in a manner that preserves the stability of the overall system. The technique is demonstrated in a simulation of a simple cylindrical buoy. We show that the controller may be tuned through the adjustment of scalar design parameters, which adjust the tradeoff between the mean generated power and the force levels required to protect the stroke.},
doi = {10.1109/TCST.2021.3100463},
journal = {IEEE Transactions on Control Systems Technology},
number = 3,
volume = 30,
place = {United States},
year = {Thu Aug 12 00:00:00 EDT 2021},
month = {Thu Aug 12 00:00:00 EDT 2021}
}

Works referenced in this record:

Nonlinear control of passive vibratory systems with finite actuation stroke
journal, August 2020


On the Kalman—Yakubovich—Popov lemma
journal, June 1996


Properties and calculation of transmission zeros of linear multivariable systems
journal, December 1974


Multiobjective output-feedback control via LMI optimization
journal, July 1997

  • Scherer, C.; Gahinet, P.; Chilali, M.
  • IEEE Transactions on Automatic Control, Vol. 42, Issue 7
  • DOI: 10.1109/9.599969

Energy-Maximizing Control of Wave-Energy Converters: The Development of Control System Technology to Optimize Their Operation
journal, September 2014

  • Ringwood, John V.; Bacelli, Giorgio; Fusco, Francesco
  • IEEE Control Systems, Vol. 34, Issue 5, p. 30-55
  • DOI: 10.1109/MCS.2014.2333253

Modelling, control and Pontryagin Maximum Principle for a two-body wave energy device
journal, May 2011


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


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

Nonlinear Model Predictive Control of a Point Absorber Wave Energy Converter
journal, January 2013

  • Richter, Markus; Magana, Mario E.; Sawodny, Oliver
  • IEEE Transactions on Sustainable Energy, Vol. 4, Issue 1
  • DOI: 10.1109/TSTE.2012.2202929

Optimal Active Control and Optimization of a Wave Energy Converter
journal, April 2013


Vibration Suppression Using a Proofmass Actuator Operating in Stroke/Force Saturation
journal, October 1991

  • Lindner, D. K.; Celano, T. P.; Ide, E. N.
  • Journal of Vibration and Acoustics, Vol. 113, Issue 4
  • DOI: 10.1115/1.2930203

Suboptimal feedback vibration control of a beam with a proof-mass actuator
journal, September 1989

  • Politansky, H.; Pilkey, Walter D.
  • Journal of Guidance, Control, and Dynamics, Vol. 12, Issue 5
  • DOI: 10.2514/3.20463

On the nature of the interaction between structures and proof-mass actuators
journal, January 1990

  • Zimmerman, David C.; Inman, Daniel J.
  • Journal of Guidance, Control, and Dynamics, Vol. 13, Issue 1
  • DOI: 10.2514/3.20520

Arrays of three-dimensional wave-energy absorbers
journal, July 1981


Power From Water Waves
journal, January 1981


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


Radiation impedance matrix and optimum power absorption for interacting oscillators in surface waves
journal, April 1980


Harvesting the Waves
journal, December 2006


Power conversion mechanisms for wave energy
journal, September 2002

  • Salter, S. H.; Taylor, J. R. M.; Caldwell, N. J.
  • Proceedings of the I MECH E Part M, Vol. 216, Issue 1
  • DOI: 10.1243/147509002320382112

A resonant point absorber of ocean-wave power
journal, August 1975


Wave energy utilization: A review of the technologies
journal, April 2010


Wave power
journal, June 1974


Optimal control, MPC and MPC-like algorithms for wave energy systems: An overview
journal, September 2017


Simple Controllers for Wave Energy Devices Compared
journal, October 2020

  • García-Violini, Demián; Faedo, Nicolás; Jaramillo-Lopez, Fernando
  • Journal of Marine Science and Engineering, Vol. 8, Issue 10
  • DOI: 10.3390/jmse8100793

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


A new passivity-based nonlinear causal control technique for wave energy converters with finite stroke
conference, July 2019


Causal control design for wave energy converters with finite stroke
journal, July 2017


A Modified Technique for Spectral Factorization of Infinite-Dimensional Systems Using Subspace Techniques
conference, December 2019