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Design of a prototype ocean current turbine—Part I: mathematical modeling and dynamics simulation
Authors:J VanZwieten  FR Driscoll  A Leonessa  G Deane  
Institution:aDepartment of Ocean Engineering, Florida Atlantic University, 101 North Beach Road, Dania Beach, FL 33004, USA;bAquantis LLC, 6305 Carpinteria, Victoria, BC, Canada V8W 3P6
Abstract:The “C-Plane” is a submerged variable depth ocean current turbine that is tethered to the sea floor and uses sustained ocean currents to produce electricity. As part of the development of a 130th scale physical model of the C-Plane, a mathematical model and dynamics simulation of the prototype was developed and is presented in this paper. This three-dimensional mathematical model represents the C-Plane as a rigid body with moveable control surfaces that is moored with three linear elastic cable elements. Gravitational, buoyancy, hydrodynamic, cable, gyroscopic, and inertial forces are included and a PC-based dynamics simulation is created. The simulation demonstrates that the C-Plane is stable and capable of changing depth in all expected operating conditions. The C-Plane prototype can fly level from a height of 3 to 6 m using the configuration suggested in this paper. The maximum ascent rates of the C-Plane with a water speed of 0.3 m/s are 0.015 m/s when the pitch is fixed at 0° and 0.030 m/s when the pitch is fixed at 4°. The maximum descent rates of the C-Plane are 0.018 m/s when the pitch is held at 0° and 0.031 m/s if the pitch is held at ?4°.
Keywords:Ocean energy  Tethered marine systems  Ocean current turbine  C-plane  Underwater vehicle modeling
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