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Ocean Engineering

Computational Methods for the Design and Prediction of Performance of Tidal Turbines

[+] Author and Article Information
Spyros A. Kinnas

Ocean Engineering Group, Department of Civil Architectural and Environmental Engineering, The University of Texas at Austin, Austin, TX 78712kinnas@mail.utexas.edu

Wei Xu

Ocean Engineering Group, Department of Civil Architectural and Environmental Engineering, The University of Texas at Austin, Austin, TX 78712weixu-chris@mail.utexas.edu

Yi-Hsiang Yu

Ocean Engineering Group, Department of Civil Architectural and Environmental Engineering, The University of Texas at Austin, Austin, TX 78712yh.yu@mail.utexas.edu

Lei He

Ocean Engineering Group, Department of Civil Architectural and Environmental Engineering, The University of Texas at Austin, Austin, TX 78712helei@mail.utexas.edu

The effects of the corresponding horseshoes of other blades are also included.

In this paper, only fully wetted cases are investigated.

Measured at the location of the turbine.

J. Offshore Mech. Arct. Eng 134(1), 011101 (Oct 12, 2011) (10 pages) doi:10.1115/1.4003390 History: Received March 12, 2010; Revised November 02, 2010; Published October 12, 2011; Online October 12, 2011

A design method based on a lifting line model is developed to determine the optimum radial circulation distribution on a turbine blade, which will produce the maximum output power for a given tip speed ratio and a given number of blades. The resulting optimum circulation distribution is used in order to determine the preliminary shape of the turbine blade. The blade shape is then refined by using an analysis method, based on a vortex-lattice scheme, in combination with a nonlinear optimization method, which determines the blade geometry that will produce the highest output power. Finally, the effect of nonuniform current inflow on the performance of a turbine is also addressed by coupling the vortex-lattice method with a viscous flow solver.

Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 2

Combined velocity and force diagram on blade section at radius r for turbines

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Figure 4

Circulation distributions determined from LLOPT and from LLOPT-BASE for a three-blade turbine at J=0.5236(TSR=6)

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Figure 5

Efficiency contour plot from LLOPT-BASE (three-blade turbine; J=0.5236)

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Figure 6

Optimum efficiencies determined from LLOPT and LLOPT-BASE for different Z and J or TSR. The top curves of this graph (designated as LLOPT-BASE) correspond to the upper (ideal) bound of turbine efficiency, ignoring viscosity but considering the effect of finite number of blades and the effect of downstream swirl.

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Figure 7

Axial induced velocity distributions at the lifting line predicted from LLOPT, LLOPT-BASE, and actuator disk theory

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Figure 8

Thrust coefficients predicted by various methods and measured

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Figure 9

Power coefficients predicted by various methods and measured

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Figure 11

Comparison of the circulation distribution from MPUF-3A and LLOPT-BASE

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Figure 12

Power coefficient for the base turbine over a range of TSRs from MPUF-3A . The effects of viscosity were not considered in this case.

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Figure 15

Inflow velocity contour (x=−5.0)

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Figure 18

Ratio of predicted mean effective to mean nominal velocity predicted by MPUF-3A coupled with NS-3D

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Figure 17

Total axial velocity contour and grid at xy-plane when z=0 (the turbine is located at x=0) predicted by MPUF-3A coupled with NS-3D

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Figure 16

Effective wake axial velocity contour (x=−0.1R) (the circumferential and radial views of the grid are also shown) predicted by MPUF-3A coupled with NS-3D

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Figure 13

Optimum section profiles at r=0.2R; determined from LLOPT-BASE and from CAVOPT-BASE with and without the effects of viscosity included

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Figure 10

Wake geometry from MPUF-3A by using fully unsteady wake alignment using the method in Ref. 8

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Figure 3

Algorithm of LLOPT

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Figure 1

Flow chart of design procedure

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Figure 19

Cpow for uniform and nonuniform current profile predicted by MPUF-3A coupled with NS-3D

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Figure 14

Tidal profile and location of turbine in NS-3D

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