Engineering Homework Help

Career Academy of Texas ?wind Turbine Evaluation Questions and Results

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1.. Upload your own XL file similar to the sample file;  BladeDesign-1.xlsx

FYI Calculation of Wind turbine power output;Tip-Speed-Ratio-Provided-by-Kid-Wind-PDF.pdf 

Sample table;  Fill out the table and answer the questions;

How many homes are poweredNameLocationOffshorePlainsHillsBlade Design    Blade Length, m  Blade Pitch, o   Blade Twist  Tip Shape  Airfoil Shape  Turbine Height, m  Performance (Web Output)    Power Production, W  Efficiency Factor  Watts/Unit Cost  No. of homes Powered  Manual CalculationWindspeed m/sAir density, kg/m3Area of blade turning, m2RPMTip SpeedTSR

Eff. of WT

Generator Eff.Gear Box Eff.Power Production, kW

Eff-vs-TSR.JPG 

Wind speed map at 100 m high; 

Potential Wind Turbine Power: (m3 = cubic meter)
P = 0.5 x rho x A x Cp x V3 x Ng x Nb
where:
P = power in watts (746 watts = 1 hp) (1,000 watts = 1 kilowatt)
rho = air density (about 1.225 kg/m3 at sea level, less higher up)
A = rotor swept area, exposed to the wind (m2)
Cp = Coefficient of performance (.59 {Betz limit} is the maximum theoretically possible, .35 for a good design)
V = wind speed in meters/sec (20 mph = 9 m/s)
Ng = generator efficiency (50% for car alternator, 80% or possibly more for a permanent magnet generator or grid-connected induction generator)
Nb = gearbox/bearings efficiency (depends, could be as high as 95% if good)

Use half of the potential, as calculated above, for basis in further calculations.

2. Answer the following questions;

A. Describe the blades that seemed to perform the best. What characteristics did they have?

B. Why do you think they performed so well?