Optimization and Energy Maximizing Control Systems for Wave Energy Converters II

Giorgi, Giuseppe; Bonfanti, Mauro

doi:10.3390/jmse12081297

JMSE

2024

DOI: 10.3390/jmse12081297

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Optimization and Energy Maximizing Control Systems for Wave Energy Converters II

Giuseppe Giorgi,

Mauro Bonfanti

Abstract: Over the past decade, the renewable energy sector has witnessed remarkable growth, which has been attributed to government support [...]

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2024

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Optimal Control of Nonlinear, Nonautonomous, Energy Harvesting Systems Applied to Point Absorber Wave Energy Converters

Yassin,

Demonte Gonzalez,

Nelson

et al. 2024

JMSE

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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.

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Optimal Control of Nonlinear, Nonautonomous, Energy Harvesting Systems Applied to Point Absorber Wave Energy Converters

Yassin,

Demonte Gonzalez,

Nelson

et al. 2024

JMSE

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show abstract

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Optimization and Energy Maximizing Control Systems for Wave Energy Converters II

Abstract: Over the past decade, the renewable energy sector has witnessed remarkable growth, which has been attributed to government support [...]

Cited by 1 publication

References 22 publications

Optimal Control of Nonlinear, Nonautonomous, Energy Harvesting Systems Applied to Point Absorber Wave Energy Converters

Optimal Control of Nonlinear, Nonautonomous, Energy Harvesting Systems Applied to Point Absorber Wave Energy Converters

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