Model-predictive control (MPC) has shown its strong potential in maximizing energy extraction for wave-energy converters (WECs) while handling hard constraints. However, the computational demand is known to be a primary concern for applying MPC in real time. In this work, we develop a cost function in which a penalty term on the slew rate of the machinery force is introduced and used to ensure the convexity of the cost function. Constraints on states and the input are incorporated. Such a constrained optimization problem is cast into a Quadratic Programming (QP) form and efficiently solved by a standard QP solver. The current MPC is found to have good energy-capture capability in both regular and irregular wave conditions, and is able to broaden favorably the bandwidth for capturing wave energy compared to other controllers in the literature. Reactive power required by the power-take-off (PTO) system is presented. The effects of the additional penalty term are discussed.
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June 2018
Research-Article
An Efficient Convex Formulation for Model-Predictive Control on Wave-Energy Converters1
Qian Zhong,
Qian Zhong
Department of Mechanical Engineering,
University of California at Berkeley,
Berkeley, CA 94720
e-mail: qzhong@berkeley.edu
University of California at Berkeley,
Berkeley, CA 94720
e-mail: qzhong@berkeley.edu
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Ronald W. Yeung
Ronald W. Yeung
American Bureau of Shipping
Endowed Chair in Ocean Engineering,
Berkeley Marine Mechanics Laboratory (BMML),
Department of Mechanical Engineering,
University of California at Berkeley,
Berkeley, CA 94720
e-mail: rwyeung@berkeley.edu
Endowed Chair in Ocean Engineering,
Berkeley Marine Mechanics Laboratory (BMML),
Department of Mechanical Engineering,
University of California at Berkeley,
Berkeley, CA 94720
e-mail: rwyeung@berkeley.edu
Search for other works by this author on:
Qian Zhong
Department of Mechanical Engineering,
University of California at Berkeley,
Berkeley, CA 94720
e-mail: qzhong@berkeley.edu
University of California at Berkeley,
Berkeley, CA 94720
e-mail: qzhong@berkeley.edu
Ronald W. Yeung
American Bureau of Shipping
Endowed Chair in Ocean Engineering,
Berkeley Marine Mechanics Laboratory (BMML),
Department of Mechanical Engineering,
University of California at Berkeley,
Berkeley, CA 94720
e-mail: rwyeung@berkeley.edu
Endowed Chair in Ocean Engineering,
Berkeley Marine Mechanics Laboratory (BMML),
Department of Mechanical Engineering,
University of California at Berkeley,
Berkeley, CA 94720
e-mail: rwyeung@berkeley.edu
1Paper presented at the 2017 ASME 36th International Conference on Ocean, Offshore, and Arctic Engineering (OMAE 2017), Trondheim, Norway, June 25–30, 2017, Paper No. OMAE2017-62575.
2Corresponding author.
Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received May 26, 2017; final manuscript received November 2, 2017; published online December 22, 2017. Assoc. Editor: Yi-Hsiang Yu.
J. Offshore Mech. Arct. Eng. Jun 2018, 140(3): 031901 (10 pages)
Published Online: December 22, 2017
Article history
Received:
May 26, 2017
Revised:
November 2, 2017
Citation
Zhong, Q., and Yeung, R. W. (December 22, 2017). "An Efficient Convex Formulation for Model-Predictive Control on Wave-Energy Converters." ASME. J. Offshore Mech. Arct. Eng. June 2018; 140(3): 031901. https://doi.org/10.1115/1.4038503
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