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Blade Performance Data

Unloaded GOE222 Profile

Blade Speed Data

Based on 18' Diameter

 

        8 Degree Pitch     TSR  7.1                                              9 Degree Pitch    TSR  6.31

 

Wind speed mph     RPM     Tip speed mph                               Wind speed mph     RPM     Tip speed mph

        10                  111            71                                                    10                   98             63

        12                  132            85                                                    12                  118            76

        15                  165           106                                                   15                  140            95

        20                  221           142                                                   20                  196           126

        25                  277           178                                                   25                  246           158

        30                  332           213                                                   30                  294           189

 

 

      10 Degree Pitch     TSR  5.67                                          11 Degree Pitch     TSR  5.14

 

Wind speed mph     RPM     Tip speed mph                               Wind speed mph     RPM     Tip speed mph

        10                   89             57                                                    10                   79             51

        12                  106            68                                                    12                   97             62

        15                  132            85                                                    15                  120            77

        20                  176           113                                                   20                  160           103

        25                  221           142                                                   25                  200           129

        30                  265           170                                                   30                  239           154

 

 

      12 Degree Pitch     TSR  4.71

 

Wind speed mph     RPM     Tip speed mph

         10                  73              47

         12                  89              57

         15                 111             71

         20                 146             94

         25                 184            118

         30                 221            142

Useful  Formulas

 

  V / R = I           Voltage  divided by Resistance = Current

 

  V x I = W         Voltage times current  =  Watts  of power

 

  HP / .00134 = Watts     Horse power  divided by  .00134  =  Watts

 

  Watts x .00134  =  Horse power

 

  1 HP  =  550 Foot-lbs of torque

 

Example:  Our test machine is a 3 phase AC alternator with an 18' foot diameter 3 - blade set up.  The load resistance measures about 5 ohms.  The accompaning voltage graph shows voltage at 20 mph is 70 volts.

70 volts divided by 5 ohms = 14 amps.  70 volts  x  14 amps  =  980 watts. We multiply this by 3 because of the 3 phases and we get  2940 watts.

 

1 HP = 747 watts        2940 watts divided by 747watts/hp  =  3.9 Horse power

 

3.9 hp  x  550 ft-lbs/hp  =2145 ft-lbs   of torque about the wind genertor axis.

 

To calculate the mechanical load on the blade you pick an average at about 2/3 distance out on the blade. So a 9 foot blade you would use 6 feet as a lever arm length.    2145 ft-lbs  divided by 3 blades  =  715 ft-lbs per blade.   715 ft-lbs  divided by 6 feet  =  119 lbs force on each blade in the direction of rotation.  119 lbs  x  3 blades is 357 lbs total rotational force.   There is a lot going on up there.

 

 

   To calculate Revolutions per minute      RPM

 

Start with tip speed in mph.  Multiply by 5280 feet/mile,  then divide by 60 minutes/ hour to get a tip speed of

feet per minute.  Divide this number by the circumference of the blades to get Revolutions per minute.

 

   Lift Coefficient

 

The lift coefficient ( CL ) is a number associated with a particular shape of an airfoil, and is incorporated in the lift equation to predict the lift force generated by the wing using this particular cross section.

                                                     

      CL = L  divided by  1/2 pv squared times A

 

L is the lift force, p is the density, v is the speed, q is dynamic pressure, and A is area.

 

This is a complicated equation and concept. Basically when comparing profiles, the higher lift coefficient the better the lift. Comparing our Goe 222 profile with another popular profile that is similar except for the clark Y procile has a flat bottom or (for wind generators, the front).

 

                                                                        Goe 222   lift coef.                          Clark Y  lift coef.

                           Angle of Attack

 

                                0 degrees                              .930                                                  .370

 

                                4 degrees                             1.123                                                 .750

 

                                8 degrees                             1.438                                                 1.081

 

 

These figures are taken from the Hanley Air Foil program and data base.  The high lift shown in this data is no surprise after analyzing the wattage and torgue output of our 18 foot diameter test machine.