Problem 23.3 A system operates at steady state with an input shaft rotating at 1800 rpm (revolutions per minute) with a torque of 16,700 N-m. The generator produces a current at 230 amps with a voltage of 13 kV. There is heat loss to the surroundings by convection (hconv= 110 W/m²K, As=32 m², Tamb = 298K). (a) Draw and label a system diagram. (b) Calculate the shaft power. (c) Calculate the electric power. (d) Calculate the rate of heat transfer. (e) Calculate the surface temperature of the generator housing.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Problem 23.3
A system operates at steady state with an input shaft rotating at 1800 rpm (revolutions per minute) with
a torque of 16,700 N-m. The generator produces a current at 230 amps with a voltage of 13 kV. There is
heat loss to the surroundings by convection (hconv = 110 W/m²K, A₁-32 m², Tamb = 298K).
(a) Draw and label a system diagram.
(b) Calculate the shaft power.
(c) Calculate the electric power.
(d) Calculate the rate of heat transfer.
(e) Calculate the surface temperature of the generator housing.
Ans: b) 3000 kW ≤ |WS| ≤ 3500 kW
c) 2500 kW ≤ We ≤ 3500 kW
d) 100 kW ≤ || ≤ 200 kW
e) 325K ≤ |TS| ≤ 375K
Transcribed Image Text:Problem 23.3 A system operates at steady state with an input shaft rotating at 1800 rpm (revolutions per minute) with a torque of 16,700 N-m. The generator produces a current at 230 amps with a voltage of 13 kV. There is heat loss to the surroundings by convection (hconv = 110 W/m²K, A₁-32 m², Tamb = 298K). (a) Draw and label a system diagram. (b) Calculate the shaft power. (c) Calculate the electric power. (d) Calculate the rate of heat transfer. (e) Calculate the surface temperature of the generator housing. Ans: b) 3000 kW ≤ |WS| ≤ 3500 kW c) 2500 kW ≤ We ≤ 3500 kW d) 100 kW ≤ || ≤ 200 kW e) 325K ≤ |TS| ≤ 375K
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