Optimal control of wave energy converters
Abstract
Optimal control theory is applied to compute control for a single-degree-of-freedom heave wave energy converter. The goal is to maximize the energy extraction per cycle. Both constrained and unconstrained optimal control problems are presented. Both periodic and non-periodic excitation forces are considered. In contrast to prior work, it is shown that for this non-autonomous system, the optimal control, in general, includes both singular arc and bang-bang modes. Conditions that determine the switching times to/from the singular arc are derived. Simulation results show that the proposed optimal control solution matches the solution obtained using the complex conjugate control. A generic linear dynamic model is used in the simulations. In conclusion, the main advantage of the proposed control is that it finds the optimal control without the need for wave prediction; it only requires the knowledge of the excitation force and its derivatives at the current time.
- Authors:
-
[1];
- Michigan Technological Univ., Houghton, MI (United States)
- 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 National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1485454
- Report Number(s):
- SAND-2018-12265J
Journal ID: ISSN 0960-1481; 669162
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Renewable Energy
- Additional Journal Information:
- Journal Volume: 103; Journal Issue: C; Journal ID: ISSN 0960-1481
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 16 TIDAL AND WAVE POWER; Wave energy conversion; Singular arc control; Optimal control; Bang-bang control
Citation Formats
Zou, Shangyan, Abdelkhalik, Ossama, Robinett, III, Rush D., Bacelli, Giorgio, and Wilson, David G. Optimal control of wave energy converters. United States: N. p., 2016.
Web. doi:10.1016/j.renene.2016.11.036.
Zou, Shangyan, Abdelkhalik, Ossama, Robinett, III, Rush D., Bacelli, Giorgio, & Wilson, David G. Optimal control of wave energy converters. United States. https://doi.org/10.1016/j.renene.2016.11.036
Zou, Shangyan, Abdelkhalik, Ossama, Robinett, III, Rush D., Bacelli, Giorgio, and Wilson, David G. Fri .
"Optimal control of wave energy converters". United States. https://doi.org/10.1016/j.renene.2016.11.036. https://www.osti.gov/servlets/purl/1485454.
@article{osti_1485454,
title = {Optimal control of wave energy converters},
author = {Zou, Shangyan and Abdelkhalik, Ossama and Robinett, III, Rush D. and Bacelli, Giorgio and Wilson, David G.},
abstractNote = {Optimal control theory is applied to compute control for a single-degree-of-freedom heave wave energy converter. The goal is to maximize the energy extraction per cycle. Both constrained and unconstrained optimal control problems are presented. Both periodic and non-periodic excitation forces are considered. In contrast to prior work, it is shown that for this non-autonomous system, the optimal control, in general, includes both singular arc and bang-bang modes. Conditions that determine the switching times to/from the singular arc are derived. Simulation results show that the proposed optimal control solution matches the solution obtained using the complex conjugate control. A generic linear dynamic model is used in the simulations. In conclusion, the main advantage of the proposed control is that it finds the optimal control without the need for wave prediction; it only requires the knowledge of the excitation force and its derivatives at the current time.},
doi = {10.1016/j.renene.2016.11.036},
journal = {Renewable Energy},
number = C,
volume = 103,
place = {United States},
year = {Fri Nov 18 00:00:00 EST 2016},
month = {Fri Nov 18 00:00:00 EST 2016}
}
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Works referencing / citing this record:
Multi-chamber oscillating water column wave energy converters and air turbines: A review
journal, October 2018
- Shalby, Mohammad; Dorrell, David G.; Walker, Paul
- International Journal of Energy Research, Vol. 43, Issue 2
Photo-induced charge boosting of liquid–solid electrokinetic generators for efficient wave energy harvesting
journal, January 2019
- Tan, Jin; Zhao, Yuanyuan; Yang, Xiya
- Journal of Materials Chemistry A, Vol. 7, Issue 10
Control of Wave Energy Converters with Discrete Displacement Hydraulic Power Take-Off Units
journal, April 2018
- Zou, Shangyan; Abdelkhalik, Ossama
- Journal of Marine Science and Engineering, Vol. 6, Issue 2
Response control of a floating airport in heading waves with output saturation
journal, August 2018
- Xia, Shuyan; Xu, Daolin; Zhang, Haicheng
- Journal of Vibration and Control, Vol. 25, Issue 3