Stochastic control of wave energy converters for optimal power absorption with constrained control force |
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| Institution: | 1. State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China;2. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai Jiao Tong University, Shanghai, 200240, China;3. Department of Naval Architecture and Marine Engineering, University of Strathclyde, Glasgow, G11XQ, United Kingdom;1. Royal Boskalis Westminster N.V., Papendrecht, the Netherlands;2. Delft University of Technology, Faculty of Civil Engineering and Geosciences, Department of Hydraulic Engineering, Delft, the Netherlands;3. Delft University of Technology, Faculty of Technology, Policy and Management, Safety and Security Science Group, Delft, the Netherlands;1. Ocean College, Zhejiang University, Zhoushan Zhejiang 316021, China;2. School of Naval Architecture, Department of Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai, 200240, China;1. Faculty of Technology and Maritime Science, University of Southeast Norway, Tønsberg, Norway;2. Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, Ås, Norway;1. Department of Civil and Environmental Engineering, National University of Singapore, Singapore;2. School of Civil and Environmental Engineering, Cornell University, USA;3. Institute of Hydrological and Oceanic Sciences, National Central University, Taiwan;4. Shandong Provincial Key Laboratory of Ocean Engineering, Ocean University of China, Qingdao, China |
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| Abstract: | This paper presents an analytical solution derived for optimal control of the power take-off of a single-degree of freedom heave point absorber with constraints on the control force. The optimal control law turns out to be noncausal with a functional dependence on future velocities. To handle this problem, an algorithm for predicting future velocities is derived. Based on the solution the mean (time-averaged) absorbed power in a given sea-state is calculated. The performance of the indicated controller in terms of the mean absorbed power is close to the optimal value obtained by nonlinear programming and better than a controller with feedback from the present displacement, velocity and acceleration, and with optimized gain factors. |
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| Keywords: | Wave energy Heave point absorber Optimal power take-off Actuator force constraints |
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