Development of a state space model for wave energy conversion systems

Starrett, Mike; So, Ratanak; Brekken, Ted K. A.; McCall, Alan

doi:10.1109/pesgm.2015.7285998

Cited by 8 publications

(7 citation statements)

References 4 publications

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“…The Simulink block diagram for the implementation of NMPC is shown in Figure 7 for the WEC in Equation ( 7) using parameter values from [13] and the cost functional in Equation ( 21). The test excitation force profile is shown in Figure 8, corresponding to a JONSWAP spectrum (significant wave height of 2.5 m, and peak period of 8 s).…”

Section: Simulation Testing and Resultsmentioning

confidence: 99%

“…This relation is approximated by piecewise nonlinear curve fits over the PTO force domains. For Figure 5, these piecewise curve fits are described by Equation (13). Putting Equation (13) in Equation ( 8), we get Equation ( 14).…”

Section: Piecewise Nonlinear Pto Modelsmentioning

confidence: 99%

“…Consider a single degree of freedom heaving point absorber WEC with a linear generator PTO mechanism, as shown in Figure 1: a single input multiple output system with heave PTO force as the control input and the velocity and positions of the float as outputs. The time‐domain model of a WEC with frequency‐dependent damping has been developed and validated in [13, 14],

\begin{matrix} \begin{matrix} x = {([], \begin{matrix} v_{p t o} & z_{p t o} & F_{r} & F \end{matrix})}^{T} \\ g = [\begin{matrix} 0true \frac{- k}{M} z_{p t o} + 0true \frac{1}{M} F_{r} + 0true \frac{1}{M} u + 0true \frac{1}{M} d \\ v_{p t o} \\ - c_{a} v_{p t o} - c_{b} z_{p t o} - c_{d} F_{r} - c_{e} F \\ F_{r} \end{matrix}] \end{matrix} \end{matrix}

…”

Section: Time Domain Model Of a Wecmentioning

confidence: 99%

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Application of real‐time nonlinear model predictive control for wave energy conversion

Haider

Brekken

McCall³

2021

IET Renewable Power Gen

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This article presents an approach to implement a Nonlinear Model Predictive Controller (NMPC) in real-time with a non-standard cost index. The proposed technique's applications are presented to maximize the energy produced by a Wave Energy Converter (WEC) when the cost index is a non-quadratic piecewise discontinuous functional of some design variables. The presented framework is based on pseudo-quadratisation and weight scheduling, which is implemented using the ACADO toolkit for MATLAB/Simulink. The proposed strategy features code generation and deployment on the real-time target machines for industrial applications. The simulations and experiments confirm the success of the proposed approach in achieving the feasible operation of the NMPC and an optimal power capture by the wave energy converters.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Section: Simulation Testing and Resultsmentioning

confidence: 99%

Section: Piecewise Nonlinear Pto Modelsmentioning

confidence: 99%

\begin{matrix} \begin{matrix} x = {([], \begin{matrix} v_{p t o} & z_{p t o} & F_{r} & F \end{matrix})}^{T} \\ g = [\begin{matrix} 0true \frac{- k}{M} z_{p t o} + 0true \frac{1}{M} F_{r} + 0true \frac{1}{M} u + 0true \frac{1}{M} d \\ v_{p t o} \\ - c_{a} v_{p t o} - c_{b} z_{p t o} - c_{d} F_{r} - c_{e} F \\ F_{r} \end{matrix}] \end{matrix} \end{matrix}

…”

Section: Time Domain Model Of a Wecmentioning

confidence: 99%

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Application of real‐time nonlinear model predictive control for wave energy conversion

Haider

Brekken

McCall³

2021

IET Renewable Power Gen

Self Cite

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“…Normalized added mass and damping vs. wave frequency for an example WEC modelled in a BEM solver[1].…”

mentioning

confidence: 99%

“…Estimate of excitation force, Fe, in a realistic sea state from Kalman filter using only measured velocity and position and the commanded PTO force[1].…”

mentioning

confidence: 99%