Sustainable Energy
2nd Edition
ISBN: 9781337551663
Author: DUNLAP, Richard A.
Publisher: Cengage,
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A large commercial wind turbine has a blade span of 100 m and tower (4 m diameter uniform) height of 150 m high (hub height above the ground). If the combined turbine-generator efficiency of 40%, wind speed of 15 km/h and the air density 1.2 kg/m3 (disregard frictional effects on the mast) determine the following:a) Electrical power generated by the turbine (in MW).b) Total horizontal force (kN) exerted by the wind on the supporting mast of the turbine and the distance (m) of this resultant force from the ground. Assume uniform tower diameter throughout the height.c) What will be the electrical power generated (in MW) when the wind speed is 30 km/h
1.The wind turbine gives the following data: Blade length, 1 = 52 m, Wind speed, V= 12
m/s, Air density,
wind and power available in the rotor.
= 1.23 kg/m³, Power Coefficient, C,= 0.4, Calculate the power in the
2.A Site evaluated for a wind farm is observed to have steady winds at a speed of 8.5m/s.
Determine the wind energy (a) per unit mass, (b) For a mass of 10 kg and (c) For a flow
rate of 1154 kg/s of air.
3.The nominal power of the wind turbine is 3MW at wind speed 11.5m/s, generator
efficiency is 94%, gear box efficiency is 0.75, power coefficient of blades is 0.59. What
would be the diameter of the rotor?
Take the density of air to be 1.25 kg/m³, and disregard fric-
13-42 Commercially available large wind turbines have
blade span diameters larger than 100 m and generate
over 3 MW of electric power at peak design conditions.
Consider a wind turbine with a 60-m blade span subjected
to 30-km/h steady winds. If the combined turbine-generator
exerted by the wind on the supporting mast of the turbine.
power generated by the turbine and (b) the horizontal force
efficiency of the wind turbine is 32 percent, determine (a) the
tional effects on mast.
30 km/h
60 m
FIGURE P13-42
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- Calculate the power available in the wind and the rotor power when the blade length for the turbine is given 42 m and the wind speed is 11 m/s. The power coefficient of blades is 0.4, generator efficiency is 85 % while gear box efficiency is 0.8, air density is 1.225 kg/m³. Power available in the wind Power available in the rotorarrow_forwardQ.2 Flow Between pipes A car has a frontal projected area of 1.6 m² and travels at 60km/hr. It has a drag coefficient of 0.35 based on frontal area. Calculate the power required in kW to overcome wind resistance by the car. 3 Density of air= 1.2 kg/m³arrow_forwardComplete answerarrow_forward
- You are asked to design a small wind turbine (D-x+1.25 ft, where x is the last two digits of your student ID). Assume the wind speed is 15 mph at T-10°C and p = 0.9 bar. The efficiency of the turbine is n- 25%, meaning that 25% of the kinetic energy in the wind can be extracted. Calculate the power in watts that can be produced by your turbine. Scan the solution of the problem and upload in the vUWS before closing the vUWS or moving to other question. DO NOT EMAIL TO LECTURER. x=08arrow_forwardProblem 1: A solid steel shaft 5 m long is stressed at 80 MPa when twisted through 4º. Using G = 83 GPa, compute the shaft diameter. What power can be transmitted by the shaft at 20 Hz? (in Kilowatts)arrow_forwardPlease state any assumptions required to solve problemarrow_forward
- Please explain a little your answer.arrow_forwardPlease include all assumptionsarrow_forwardA 35 percent-efficient coal-fired power plant with effective height of 100 m emits SO2 at a the rate of 0.6 lb/106 Btu into the plant. If winds are assumed to be 4 m/s at the stack height and just over 3 m/s at 10 m, how large could the plant be (MW) without having the ground level SO, exceed 365 ug/m³?arrow_forward
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