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WIND ENERGY SYSTEMS - Cd3wd

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Chapter 4—Wind Turbine Power 4–51<br />

Figure 31: Torque versus rotational speed for Savonius turbine: radius 0.88 m; area 22 m 2 .<br />

5. The MOD-2 wind turbine is rated at 2500 kW at standard conditions in a 12.3 m/s wind<br />

speed. Assume a three stage gearbox with rated efficiency of 0.94 and a generator with<br />

rated efficiency 0.95, and estimate the output power in a 8 m/s wind speed. Include the<br />

effects of lowered efficiency due to lowered power transfer.<br />

6. The NASA-DOE MOD-0 has a rated electrical output of 100 kW, a cut-in wind speed of<br />

3.5 m/s, a rated wind speed of 8 m/s, a rotor diameter of 37.5 m, a fixed rotor rotational<br />

speed of 40 r/min, and a generator rotational speed of 1800 r/min.<br />

(a) What is the tip speed ratio at rated wind speed?<br />

(b) What is the tip speed ratio at cut-in?<br />

(c) What is the overall efficiency of the turbine, drive train, and generator if P e = 100<br />

kW when the wind speed is 8 m/s? Assume standard conditions.<br />

7. A MOD-2 wind turbine is delivering a mechanical power P m = 2000 kW at 17.5 r/min<br />

to a gearbox with an output speed of 1800 r/min. The gearbox is 92 percent efficient at<br />

this power level.<br />

(a) What is the average torque in the low speed shaft?<br />

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

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