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An Investigation of River Kinetic Turbines: Performance Enhancements, Turbine Modelling Techniques, and a Critical Assessment of Turbulence Models. by David L. F. Gaden Department of Mechanical and Manufacturing Engineering University of Manitoba. Committee Members.
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An Investigation of River Kinetic Turbines: Performance Enhancements,Turbine Modelling Techniques, and a Critical Assessment of Turbulence Models by David L. F. Gaden Department of Mechanical and Manufacturing Engineering University of Manitoba
Committee Members • Dr. E. Bibeau (departmental advisor) • Dr. A. Gole (Electrical Engineering) • Tom Molinski (Manitoba Hydro) • Dr. S. Ormiston (Mechanical Engineering) External Reviewer • Mr. P. Vauthier (UEK)
Outline • Introduction • Technology overview • Recent kinetic hydro developments • Wind energy literature review • Shroud Optimisation • Anchor Experiment • Validation • Conclusion • Future Study
IntroductionTechnology Overview Geographic location with a natural flow restriction
To Power Distribution Turbine, Hub and Generator Shroud (cut away) Anchoring System IntroductionTechnology Overview
IntroductionTechnology Overview ≈ 8 ft Example of a kinetic turbine
IntroductionTechnology Overview • Advantages • No reservoir or spillway – minimal environmental impact • Site selection far less restrictive • No dams or powerhouses – low cost installation • Fast deployment times • Modular – easily scalable energy output • Steady flow rates, steady energy production
IntroductionTechnology Overview • Disadvantages • Possibly dangerous flow conditions • No control over upstream conditions • Turbulence, foreign debris • Unknown fish mortality rate
IntroductionRecent kinetic hydro developments • Little in open literature for river kinetic turbines • Purpose: • To develop modelling techniques for river kinetic turbines • To understand the reliability of these models • Use these models to evaluate performance enhancements for kinetic turbines
Coriolis Program (Gulf Stream) ITDG / IT Power (Sudan) IntroductionRecent kinetic hydro developments* 1970 1980 1990 2000 UEK (Various) Nova Energy, NRC (3 sites) Nihon University (Japan) Scottish Nuclear, IT Power (Scotland) Northern Territory University (Australia) Marine Current Turbines (UK) Horizontal axis turbine Vertical axis turbine Ducted turbine *Adapted from Segergren, 2005
Ontario Power Generation, UEK (Ontario) Hammerfest Strøm AS (Norway) Exim & Seapower (Sweden / Scotland) Hydro Venturi (Various) Stingray Tidal Stream, Eng Business Ltd. TidEl Generator (Unspecified) New Energy (Alberta) Pearson College, et al. (B.C.) Starkraft Development (Norway) IntroductionRecent kinetic hydro developments* 1990 2000 Horizontal axis turbine Vertical axis turbine Ducted turbine *Adapted from Segergren, 2005
Helmy Lewis et al. Igra Phillips et al. Grassmann et al. Helmy Bet et al. IntroductionWind energy literature review 1980 1990 2000 THEORY THEORY E x 3 N x 4 THEORY N x 3.2 E x 1 N x 5 E x 1.3 E x 1.25 THEORY N x 2 THEORY – Paper covers ducted turbine theory N – Numerical study N x 2 x 3 – Results show a power increase by a factor of 3 E – Experimental results
Pa < 60% P∞ Betz limit (Betz, 1926) Shroud OptimisationTheory Conventional turbine Small power available
Greater power available (Lewis et al., 1977) Shroud OptimisationTheory Shrouded turbine
Open passage • Does not capture pressure drop, swirl • Non-linear response to pressure not modelled • Not used Shroud OptimisationTurbine Modelling Four turbine modelling strategies: 1. No model 2. Momentum source 3. Averaging rotating reference frame 4. Sliding mesh rotating reference frame
Open passage • Models turbine as block of momentum • Captures pressure drop • Avoids complex geometry • Does not capture pressure drop, swirl • Non-linear response to pressure not modelled • Not used k – Momentum source factor Shroud OptimisationTurbine Modelling Four turbine modelling strategies: 1. No model 2. Momentum source 3. Averaging rotating reference frame 4. Sliding mesh rotating reference frame
Models turbine as block of momentum • Captures pressure drop • Avoids complex geometry • Does not account for power curves, mechanical losses • Close to Betz theory • ≈ 5% over-prediction of power k – Momentum source factor Shroud OptimisationTurbine Modelling Four turbine modelling strategies: 1. No model 2. Momentum source 3. Averaging rotating reference frame 4. Sliding mesh rotating reference frame
Does not account for power curves, mechanical losses • Close to Betz theory • ≈ 5% over-prediction of power • Models rotor geometry • Averages along circumference of rotation for pseudo steady-state • Streamwise axis-symmetric only Shroud OptimisationTurbine Modelling Four turbine modelling strategies: 1. No model 2. Momentum source 3. Averaging rotating reference frame 4. Sliding mesh rotating reference frame
Models rotor geometry • Averages along circumference of rotation for pseudo steady-state • Streamwise axis-symmetric only • Rotates and interpolates mesh at each time step • Computationally intensive; large output • Fully transient solution Shroud OptimisationTurbine Modelling Four turbine modelling strategies: 1. No model 2. Momentum source 3. Averaging rotating reference frame 4. Sliding mesh rotating reference frame
Shroud OptimisationMomentum Source Design variables: 1. Diffuser Angle
Shroud OptimisationMomentum Source Design variables: 1.Diffuser Angle 2.Area ratio
Shroud Optimisation Momentum Source Model dimensions Flow domain Surface mesh
Shroud OptimisationMomentum Source Variable: Area ratio 15
Shroud OptimisationMomentum Source Variable: Angle ■Power increase by a factor of 3.1 ■ Drag increase by a factor of 3.9
Shroud OptimisationMomentum Source Streamlines for 45° diffuser Streamlines for 20° diffuser
Shroud OptimisationMomentum Source No diffuser versus diffuser
Diameter: 3.0 m Diameter: 2.4 m Output: 25.6 kW Output: 51.3 kW Shroud OptimisationMomentum Source • If area is limited, shroud will reduce turbine size • Shroud is still beneficial
Shroud OptimisationRotating Reference Frame Tetrahedral mesh Flow domain Hexahedral mesh
Shroud OptimisationRotating Reference Frame A. B. C. D.
Shroud OptimisationRotating Reference Frame Relative power output B. D. A. C. (standard) 84.7% 39.3 kW 95.8% 44.4 kW 100% 46.4 kW 105.5% 48.9 kW
Power P/P∞ Anchor Experiment • Boundary-layer causes power loss Velocity y/δ U/U∞
To Power Distribution Turbine, Hub and Generator Shroud (cut away) Anchor Experiment Anchoring System
Anchor Experiment • Four anchor models ≈ 3 m A. B. C. D.
Anchor Experiment At 7.5 m downstream from Anchor P / P∞ y / δ
Anchor Experiment Midstream velocity contours
Validation • Particle Image Velocimetry (PIV) used • Six experimental runs: • 2 configurations (nozzle & diffuser) • 3 flow speeds (0.5 m/s, 0.8 m/s and 1.0 m/s) • For each, four CFD simulations performed: • 2 Eddy-viscosity turbulence models (k-ε & SST) • 2 Reynolds stress transport models (SSG & BSL)
Validation Water tunnel test section Ruler (for alignment) Model Laser Mirror Camera
Validation PIV Apparatus TEST SECTION AND MODEL FLUID WITH SEEDING PARTICLES LASER AND OPTICS CAMERA COMPUTER AND SOFTWARE DATA ACQUISITION AND CONTROL SYSTEM
Validation Frame 1 Frame 2 d2 d1 d3 Raw Image Both frames
Validation PIV Streamlines & velocity contours Diffuser, 1 m/s Nozzle, 1 m/s
Validation k-ε streamlines & velocity contours Diffuser, 1 m/s Nozzle, 1 m/s
Validation SSG streamlines & velocity contours Diffuser, 1 m/s Nozzle, 1 m/s
Validation k-ε velocity error Diffuser, 1 m/s Nozzle, 1 m/s
Validation SSG velocity error Diffuser, 1 m/s Nozzle, 1 m/s
Validation Full-field validation results: ■ Root mean square error (RMSE) used to evaluate each model across the entire field:
Validation • PIV Experimental error • Seeding particle density too low • 5 particles / IA recommended (Dantec 2000) • ≈ 3 particles / IA • Velocity up to 55% under-read (Keane et al. 1992) • Field of view too large • Poor handling of high velocity gradients • 60% probability of valid detection (Keane et al. 1992) • Regions with high gradients cannot be trusted
Validation • CFD inlet conditions inadequate • Modelled as uniform flow, but it was not: