Example 1.3The blades of a wind turbine turn a large shaft at a relatively slow speed. Therotational speed is increased by a gearbox that has an efficiency of 0.93. In turn, thegearbox output shaft drives an electric generator with an efficiency of 0.95. Thecylindrical nacelle, which houses the gearbox, generator, and associated equipment,is of length L = 6 m and diameter D= 3 m. If the turbine produces P = 2.5 MW ofelectrical power, and the air and surroundings temperatures are T = 25 °C and Tsur =20 °C, respectively, determine the minimum possible operating temperature insidethe nacelle. The emissivity of the nacelle is 0.83, and the convective heat transfercoefficient is h = 35 W/m² K. The surface of the nacelle that is adjacent to the bladehub can be considered to be adiabatic, and solar irradiation may be neglected.Use Fin or N number of fins to reduce the Ts of thenacelle less than 143 °CT-20°CHubA-35 W7,-0.83Generator,-0.95Garb-0.93

Answered: Image /qna-images/answer/1eaca2c3-d419-45b5-af1d-3b228b7a56df.jpg

Answered: Example 1.3 The blades of a wind…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The power output versus velocity profile for a wind turbine is shown in the figure below. Assume the rotor diameter is 80 meters, the air density is 1.22 kg/m3, the cut-in speed is 4 m/s, the rated speed is 13 m/s and the corresponding rated (i.e., peak) power output is 1500 kW. Calculate the power coefficient when the wind turbine is operating at wind speed of 5 m/s, 10 m/s and 13 m/s.
115 m turbine 2 In the above example problem, a hydroelectric turbine at the base of a dam is shown schematically. The height of the water above the turbine station given as 115 m. This turbine produces 4.6 MW of electricity, and you may assume the losses in the system to be equivalent to 10 m of head of water. The diameter of the pipe at the turbine exit is 0.75 m, and the velocity of water exiting from the pipe is 12.5 m/s. Caleulate the efficiency of the turbine.
2. A wind turbine has the maximum power output at the rated speed of 12 m/s and a rotor diameter of 82 meters. The cut-in and cut-out speeds for this type of wind turbine are 4 m/s and 23 m/s, respectively. The table below shows the annual wind data near a potential site for setting up a wind farm using this type of wind turbine and the power coefficient of the wind turbine at the specific wind speed. The air density is 1.22 kg/m³. Wind speed (m/s) Power coefficient 7 Hours 1190 5 0.25 3000 10 0.5 2400 15 0.25 1700 20 0.1 400 25 50 30 20 (a). What is the maximum power output of this wind turbine, assuming Betz limit? (b). What is the average power output if the wind turbine is installed at this site?. (c). What is the capacity factor of the wind turbine at this site? (d). If a wind farm consisting of 100 such wind turbines is built at the site, how much energy does this wind farm generate in a year (in the unit of kWh)? (e). Is this a good site for using this particular type of wind…
What is the turbine output of 100m head and delivering 1 cu. m/ sec in a hydro electric power plant if turbine efficiency is 88%?
A Pelton wheel develops 70 kW under a head of 60 m of water. It rotates 400 rpm. Overall efficiency is 80%. Find the discharge rate in m³/s. Use the equation below, where P is power of the turbine shaft and no is the overall efficiency, where specific weight of water is is 9.80 kN/m³ no P YQH A generator is driven by a small, single-jet Pelton turbine designed to have a power specific speed sp 0.20. The effective head at nozzle inlet is 200 m and the nozzle velocity coefficient is 0.985. The runner rotates at 880 rev/min, The turbine overall efficiency is 80%. Find (a) the power delivered by the shaft of the turbine and (b) find the power delivered by the water to the turbine. where density of water is 1000 kg/m³ and g is 9.80 m/s². Use Stup Ω P/p (gHE)* Overall efficiency ne and Power developed at turbine shaft hydraulic power P YQH
A Pelton wheel turbine is to operate under a head of 25 m at 200 r.p.m. If the discharge is 9 m /s and turbine efficiency is 90%. Calculate power generated by the turbine, specific speed of the turbine and performance of turbine under a head of 20 m. Also state the type of turbine.
Pls. answer thank you! A pelton type turbine was installed 31m below the head gate of the penstock. The head loss due to friction is 15% of the given elevation. The length of the penstock is 80 m and the coefficient of friction is 0.00093 (Morse). Determine the diameter in meters of the penstock and the power output in KW.
3. For a Pelton turbine the pressure of the flow before the nozzle is 5 bar while the velocity of flow leaving the nozzle is 31m/s. If the speed of the turbine is 500 rpm and the wheel diameter is 1.5 m, the efficiency of the nozzle will be: а. 0.96 b. 0.97 с. 0.98 d. 0.99 e. None of the them.
A hydro - electric power station has a reservoir of area 2.4 square kilometres and capacity 5x10°m.The effective head of water is 100 m. The penstock, turbine and generator efficiencies are 95%, 90%, and 85% respectively. (i)Calculate the total energy in kWh which can be generated from the power station. (ii)If a load of 15,000 kW has been supplied for 3 hours, find the fall in reservoir level.
Maximizing the wind velocity of 92 m/s and 25 units of wind turbine was installed at the seaside shore. What is the total power if the area of turbine blade equal to 42 sq.m. with air density of 1.2041 Kg/cu.m. A 1.969 MW 1,968,998 Watts 4,923 watts D 49.23 MW
QI: If the overall efficiency of the system and turbine in the figure below is 80 percent. What power is produced for H=60m and Q= 30m'/s? H 3 m diam Water
Two electric motors are being considered to drive a centrifugal pump. Each motor is capable of delivering 60 horsepower (output) to the pumping operation. It is expected that the motors will be in use 2,000 hours per year and the MARR = 8% per year. (1 hp = 0.746 kW) a. If electricity costs $X per kilowatt-hour, calculate the annual cost of electrical power for each motor b. What cost of electricity (S/kWh) makes the two pumps breakeven (i.e. have the same equivalent annual cost)? Assume repeatability and MVS = $0. c. Choose the graph to illustrate your answer to Part (b). d. Which motor should be selected? Click the icon to view the datatable for the additional information about two alternatives. Click the icon to view the interest and annuity table for discrete compounding when the MARR is 8% per year. a. The annual cost of electrical power for Motor A is $(xX). (Round to two decimal places.)

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