Version 1
: Received: 16 October 2024 / Approved: 16 October 2024 / Online: 16 October 2024 (16:20:44 CEST)
How to cite:
Yassin, H.; Demonte Gonzalez, T.; Nelson, K.; Parker, G.; Weaver, W. W. Optimal Control of Nonlinear, Nonautonomous, Energy Harvesting Systems Applied to Point Absorber Wave Energy Converters. Preprints2024, 2024101298. https://doi.org/10.20944/preprints202410.1298.v1
Yassin, H.; Demonte Gonzalez, T.; Nelson, K.; Parker, G.; Weaver, W. W. Optimal Control of Nonlinear, Nonautonomous, Energy Harvesting Systems Applied to Point Absorber Wave Energy Converters. Preprints 2024, 2024101298. https://doi.org/10.20944/preprints202410.1298.v1
Yassin, H.; Demonte Gonzalez, T.; Nelson, K.; Parker, G.; Weaver, W. W. Optimal Control of Nonlinear, Nonautonomous, Energy Harvesting Systems Applied to Point Absorber Wave Energy Converters. Preprints2024, 2024101298. https://doi.org/10.20944/preprints202410.1298.v1
APA Style
Yassin, H., Demonte Gonzalez, T., Nelson, K., Parker, G., & Weaver, W. W. (2024). Optimal Control of Nonlinear, Nonautonomous, Energy Harvesting Systems Applied to Point Absorber Wave Energy Converters. Preprints. https://doi.org/10.20944/preprints202410.1298.v1
Chicago/Turabian Style
Yassin, H., Gordon Parker and Wayne W. Weaver. 2024 "Optimal Control of Nonlinear, Nonautonomous, Energy Harvesting Systems Applied to Point Absorber Wave Energy Converters" Preprints. https://doi.org/10.20944/preprints202410.1298.v1
Abstract
Pursuing sustainable energy solutions has prompted researchers to focus on optimizing energy extraction from renewable sources. Control laws that optimize energy extraction require accurate modeling, often resulting in time-varying, nonlinear differential equations. An energy-maximizing optimal control law is derived for time-varying, nonlinear, second-order, energy harvesting systems. We demonstrate that sustaining periodic motion under this control law when subjected to periodic disturbances necessitates identifying appropriate initial conditions, inducing the system to follow a limit cycle. The general optimal solution is applied to two point absorber wave energy converter models: a linear model where the analytical derivation of initial conditions suffices and a nonlinear model demanding a numerical approach. A stable limit cycle is obtained for the latter when the initial conditions lie within an ellipse centered at the origin of the phase plane. This work advances energy-maximizing optimal control solutions for nonautonomous nonlinear systems with application to point absorbers. The results also shed light on the significance of initial conditions in achieving physically realizable periodic motion for periodic energy harvesting systems.
Keywords
optimization; singular; energy maximization; limit cycles; time-varying; nonautonomous; nonlinear; optimal control; energy harvesting systems; wave energy converter
Subject
Engineering, Control and Systems Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
