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WIND ENERGY SYSTEMS - Cd3wd

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Chapter 4—Wind Turbine Power 4–50<br />

Figure 30: Torque versus rotational speed for low-solidity 10-m-diameter two-bladed propeller.<br />

model discussed in Chapter 2 to find the average pressure.<br />

2. An anemometer mounted on the nacelle of an operating downwind propeller type turbine<br />

measures an average wind speed of 10 m/s. Estimate the undisturbed wind speed,<br />

assuming this anemometer measures the same wind speed as seen by the propeller.<br />

3. The Sandia 17-m turbine has a diameter of 16.7 m, an area of 187 m 2 , and is spinning<br />

at 42 r/min. The ambient temperature is 15 o C and the pressure is 83 kPa. For each of<br />

the wind speeds 5, 7, 12, and 16 m/s,<br />

(a) Find the tip speed ratio.<br />

(b) Find the coefficient of performance from Fig. 9.<br />

(c) Find the predicted mechanical power output. Compare these values with those<br />

given on Fig. 10.<br />

4. An electric utility decides to add 50 MW of wind generation to its system. If the<br />

individual units are to be rated at 2 MW in a 13-m/s wind at standard conditions and<br />

have efficiencies C pR = 0.32, η mR = 0.94, and η gR = 0.96, what is the required swept<br />

area A of each rotor? What is the rotor diameter, if the rotor is a two bladed horizontal<br />

axis propeller?<br />

Wind Energy Systems by Dr. Gary L. Johnson November 21, 2001

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