Title: WIND%20TURBINE%20FLOW%20ENGINEERING%20ANALYSIS%20Jean-Jacques%20Chattot%20University%20of%20California%20Davis%20OUTLINE
1WIND TURBINE FLOW ENGINEERING ANALYSISJean-Jacque
s ChattotUniversity of California DavisOUTLINE
- Challenges in Wind Turbine Flows
- The Analysis Problem and Simulation Tools
- The Vortex Model
- The Hybrid Approach
- Conclusion
SINUMEF Seminar Tuesday, July 17, 2007
2CHALLENGES IN WIND TURBINE FLOW ANALYSIS
- Vortex Structure
- - importance of maintaining vortex structure
10-20 D - - free wake vs. prescribed wake models
- High Incidence on Blades
- - separated flows and 3-D viscous effects
- Unsteady Effects
- - yaw, tower interaction, earth boundary layer
- Blade Flexibility
3CHALLENGES IN WIND TURBINE FLOW ANALYSIS
4THE ANALYSIS PROBLEM AND SIMULATION TOOLS
- Actuator Disk Theory (1-D Flow)
- Empirical Dynamic Models (Aeroelasticity)
- Vortex Models
- - prescribed wake equilibrium condition
- - free wake
- Euler/Navier-Stokes Codes
- - 10 M grid points, still dissipates wake
- - not practical for design
5REVIEW OF VORTEX MODEL
- Goldstein Model
- Simplified Treatment of Wake
- Rigid Wake Model
- Ultimate Wake Equilibrium Condition
- Base Helix Geometry Used for Steady and Unsteady
Flows - Application of Biot-Savart Law
- Blade Element Flow Conditions
- 2-D Viscous Polar
6GOLDSTEIN MODEL
Vortex sheet constructed as perfect helix with
variable pitch
7SIMPLIFIED TREATMENT OF WAKE
- No stream tube expansion, no sheet edge roll-up
(second-order effects) - Vortex sheet constructed as perfect helix called
the base helix corresponding to zero yaw
8ULTIMATE WAKE EQUILIBRIUM CONDITION
Induced axial velocity from average power
9BASE HELIX GEOMETRY USED FOR STEADY AND UNSTEADY
FLOWS
Vorticity is convected along the base helix, not
the displaced helix, a first-order approximation
10APPLICATION OF BIOT-SAVART LAW
11BLADE ELEMENT FLOW CONDITIONS
122-D VISCOUS POLAR
S809 profile at Re500,000 using XFOIL linear
extrapolation to
13NONLINEAR TREATMENT
- Discrete equations
- If
- Where
14NONLINEAR TREATMENT
- If
- is the coefficient of artificial
viscosity - Solved using Newtons method
15CONVECTION IN THE WAKE
- Mesh system stretched mesh from blade
- To x1 where
- Then constant steps to
- Convection equation along vortex filament j
- Boundary condition
16CONVECTION IN THE WAKE
17ATTACHED/STALLED FLOWS
Blade working conditions attached/stalled
18RESULTS STEADY FLOW
Power output comparison
19RESULTS YAWED FLOW
Time-averaged power versus velocity at different
yaw angles
10 deg
5 deg
20 deg
30 deg
20FLEXIBLE BLADE MODEL
- Blade Treated as a Homogeneous Beam
- Time and Space Approaches
- Finite Difference Explicit
- Finite Difference Implicit
- Modal Decomposition
- NREL Blades
- Results
21HOMOGENEOUS BEAM
n(y,t) is the displacement normal to the local
chord Time made dimensionless with
22TIME AND SPACE APPROACHES
- Typical Time Steps
- - Taero0.0023 s (1 deg azimuthal angle)
- - Tstruc0.00004 s (with 21 points on blade)
- Explicit Scheme
- Large integration errors due to drifting
- Implicit Scheme
- Second-Order in time unstable
- First-order not accurate enough
- Modal Decomposition
- Very accurate. Integration error only in source
term
23NREL BLADES
- Structural Coefficients
- - M5 kg/m
- - EIx800,000 Nm2
- - cfb4
- First Mode Frequency
- - f17.28 Hz (vs. 7.25 Hz for NREL blade)
24RESULTS FOR ROOT FLAP BENDING MOMENTV5 m/s,
yaw0 deg
25RESULTS FOR ROOT FLAP BENDING MOMENTV5 m/s,
yaw5 deg
26RESULTS FOR ROOT FLAP BENDING MOMENTV5 m/s,
yaw10 deg
27TOWER INTERFERENCE MODEL
- Simplified Model
- NREL Root Flap Bending Moment Comparison
- - Effect of Incoming Velocity V5, 8 and 10 m/s
- - Effect of Yaw yaw5, 10 and 20 deg
28SIMPLIFIED MODEL
- Rotor in upwind configuration (primarily
inviscid blockage effect) - Tower is treated as a semi-infinite line of
doublets - Wake distortion due to tower interference not
- accounted for But perturbed vorticity convected
on base helix
29UPWIND CONFIGURATION
30LINE OF DOUBLETSPERTURBATION POTENTIAL
31NREL ROOT FLAP BENDING MOMENT COMPARISONV5 m/s
32NREL ROOT FLAP BENDING MOMENT COMPARISONV8 m/s
33NREL ROOT FLAP BENDING MOMENT COMPARISONV10 m/s
34NREL ROOT FLAP BENDING MOMENT COMPARISONV5 m/s,
yaw5 deg
35NREL ROOT FLAP BENDING MOMENT COMPARISONV5 m/s,
yaw10 deg
36NREL ROOT FLAP BENDING MOMENT COMPARISONV5 m/s,
yaw20 deg
37HYBRID APPROACH
- Use Best Capabilities of Physical Models
- - Navier-Stokes for near-field viscous flow
- - Vortex model for far-field inviscid wake
- Couple Navier-Stokes with Vortex Model
- - improved efficiency
- - improved accuracy
38HYBRID METHODOLOGY
39RECENT PUBLICATIONS
- J.-J. Chattot, Helicoidal vortex model for
steady and unsteady flows, Computers and Fluids,
Special Issue, 35, 742-745 (2006). - S. H. Schmitz, J.-J. Chattot, A coupled
Navier-Stokes/Vortex-Panel solver for the
numerical analysis of wind turbines, Computers
and Fluids, Special Issue, 35 742-745 (2006). - J. M. Hallissy, J.J. Chattot, Validation of a
helicoidal vortex model with the NREL unsteady
aerodynamic experiment, CFD Journal, Special
Issue, 14236-245 (2005). - S. H. Schmitz, J.-J. Chattot, A parallelized
coupled Navier-Stokes/Vortex-Panel solver,
Journal of Solar Energy Engineering, 127475-487
(2005). - J.-J. Chattot, Extension of a helicoidal vortex
model to account for blade flexibility and tower
interference, Journal of Solar Energy
Engineering, 128455-460 (2006). - S. H. Schmitz, J.-J. Chattot, Characterization
of three-dimensional effects for the rotating and
parked NREL phase VI wind turbine, Journal of
Solar Energy Engineering, 128445-454 (2006). - J.-J. Chattot, Helicoidal vortex model for wind
turbine aeroelastic simulation, Computers and
Structures, to appear, 2007.
40CONCLUSIONS
- Vortex Model simple, efficient, can be used for
design - Stand-alone Navier-Stokes too expensive,
dissipates wake, cannot be used for design - Hybrid Model takes best of both models to
create most efficient and reliable simulation
tool - Next Frontier aeroelasticity and
multidisciplinary design
41APPENDIX AUAE Sequence QV8 m/s Dpitch18 deg
CN at 80
42APPENDIX AUAE Sequence QV8 m/s Dpitch18 deg
CT at 80
43APPENDIX AUAE Sequence QV8 m/s Dpitch18 deg
44APPENDIX AUAE Sequence QV8 m/s Dpitch18 deg
45APPENDIX BOptimum Rotor R63 m P2 MW
46APPENDIX BOptimum Rotor R63 m P2 MW
47APPENDIX BOptimum Rotor R63 m P2 MW
48APPENDIX BOptimum Rotor R63 m P2 MW
49APPENDIX BOptimum Rotor R63 m P2 MW
50APPENDIX BOptimum Rotor R63 m P2 MW
51APPENDIX BOptimum Rotor R63 m P2 MW
52APPENDIX CHomogeneous blade First mode
53APPENDIX CHomogeneous blade Second mode
54APPENDIX CHomogeneous blade Third mode
55APPENDIX CNonhomogeneous blade M distribution
56APPENDIX CNonhomog. blade EIx distribution
57APPENDIX CNonhomogeneous blade First mode
58APPENDIX CNonhomogeneous blade Second mode
59APPENDIX CNonhomogeneous blade Third mode
60TOWER SHADOW MODELDOWNWIND CONFIGURATION