1. Using PROPID for Inverse Design
Michael S. Selig
Associate Professor
Department of Aeronautical and Astronautical Engineering
University of Illinois at Urbana-Champaign
Steady-State Aerodynamics Codes for HAWTs
Selig, Tangler, and Giguère
August 2,  NREL NWTC, Golden, CO

2. Peak Power Specification for a Stall Regulated Turbine (1-D Iteration)
PROPID Run: wt04a.in
Baseline Power Curve, No Iteration

3. Iterate on Scale factor (% Growth) NEWT1ISWP Line
edf

4. Variables for Iteration (ITP* Parameters)

5. Running Interactively with Newton Iteration

6. NEWT1ISWP Line - Variations

7. The Quickest Approach

8. Final Converged Power and Baseline
Radius Grew from 24.6 ft  25.5 ft (see ftn021.dat)
New rotor

9. PROPID Run: wt05a.in
Iteration on Blade Pitch Instead
NEWT1ISWP Line

10. Variables for Iteration (ITP* Parameters)

11. Final Converged Power Curve and Previous Ones
Pitch Change: 2 deg  4.3 deg
wt04a.in & wt05a.in Example of 1-D Newton Iteration
New rotor

12. 2-D Newton Iteration PROPID Run: wt06a.in
Rotor Scale  Peak Power (500 kW)
Rotor RPM  Tip Speed (150 mph, 220 ft/sec)

13. Screen Grab from Run - Stages
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14. Resulting Power Curve 500 kW Peak Power
Radius Change: ft  39.9 ft
RPM Change: rpm  52.6 rpm
500 kW
Peak Power
AEP = 694 MWh/yr
compare this power curve w/ variable speed turbine
note peak power is near the end of the wind speed range

15. Lift and Axial Inflow Specifications (Multidimensional Newton Iteration)
PROPID Run: wt07a.in (analysis only)
Rotor Radius Same as wt06a.in (39.9 ft)
Variable Speed Turbine Design, TSR = 6

16. DP and Special Input Lines

17. Cp (2D_SWEEP) & Power Curve (2D_SWEEP)

18. Blade Aero and Geometry (1D_SWEEP)

19. Power Curves
AEP 790 MWh/yr (wt07a) vs 694 MWh/yr (wt06a)
Variable Speed Case
Stall Regulated
Baseline

20. Lift Distribution
Desire Cl-dist for Best L/D-dist

21. Axial Induction Factor Distribution
Desire a = 1/3 Betz Optimum

22. PROPID Run: wt08a.in
Desired Cl-dist vs Baseline

23. Tabulated Cl-dist

24. Stage 1: Segment 8 = 1.00
Iterate Pitch
NEWT1LDP Cl
Segment 8

25. Stage 2: Cl @ Segments 9-10 Relative to 8
Iterate Segments 9-10
NEWT2SDDP

26. Details
Cl Segment 9
Relative to Segment 8

27. Relative Cl Values
Segment #
Values Relative to Segment 8 8 9 10
-.05
-.10

28. Iteration Schedule for Cl

29. Stage 3: Cl @ Segments 2-7 Relative to 8
Iterate Segments 2-7

30. Converged Cl Distribution

31. Stage 4: Axial Inflow @ Segment 8 = .333
Iterate Segment 8

32. Iteration for Axial Inflow at Segment 8

33. Stage 5: Axial Inflow @ Segments 9-10 Relative to 8
Iterate Segments 9-10

34. Iteration Schedule for Axial Induction Factor

35. Stage 6: Axial Inflow @ Segments 2-7 Relative to 8
Iterate Segments 2-7

36. Converged Axial Inflow Distribution

37. Automatic Convergence: Uncomment these lines

38. Power Curve Comparison
AEP 803 MWh/yr (wt08a) vs 790 MWh/yr (wt07a)

39. Debugging an Input File
Screen Dump on Crash
Now What?

40. Turn on Debugging Feature (ECHO_INPUT Line)
Bad NEWT1LDP Line

41. Errors, Warnings, and Notes at Runtime
Not Again! *&)*^)^(^:)????

42. Refer to warnerr-doc.txt
Problem Not Solved?
Philippe Giguère! He has offered free tech support during all of August 1999.