The pump-turbine system shown draws water from the upper reservoir in the daytime to produce power for a city. At night, it pumps water from the lower to upper reservoir to restore the situation. For a design flow rate of 1 cms in either direction, the friction loss is 4 times the velocity head in the 500-mm transmission pipe. The efficiencies of the pump and turbine are 0.80 and 0.90, respectively. a) b) c) and PhP 1.50 per kWh during nighttime, is this system profitable? Assume the pump and turbine each operates for 10 hours. Estimate the power in kW generated by the turbine Estimate the power in kW required by the pump to restore the higher head If the cost of electricity is PhP 4 per kWh (kilowatt-hour) during daytime

The pump-turbine system shown draws water from the upper reservoir in the daytime to produce power for a city. At night, it pumps water from the lower to upper reservoir to restore the situation. For a design flow rate of 1 cms in either direction, the friction loss is 4 times the velocity head in the 500-mm transmission pipe. The efficiencies of the pump and turbine are 0.80 and 0.90, respectively. a) b) c) and PhP 1.50 per kWh during nighttime, is this system profitable? Assume the pump and turbine each operates for 10 hours. Estimate the power in kW generated by the turbine Estimate the power in kW required by the pump to restore the higher head If the cost of electricity is PhP 4 per kWh (kilowatt-hour) during daytime

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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Question

The pump-turbine system shown draws water from the upper reservoir in the daytime
to produce power for a city. At night, it pumps water from the lower to upper reservoir
to restore the situation. For a design flow rate of 1 cms in either direction, the friction
loss is 4 times the velocity head in the 500-mm transmission pipe. The efficiencies of
the pump and turbine are 0.80 and 0.90, respectively.
a)
b)
c)
and PhP 1.50 per kWh during nighttime, is this system profitable? Assume the
pump ang tyrbine each operates for 10 hours.
Estimate the power in kW generated by the turbine
Estimate the power in kW required by the pump to restore the higher head
If the cost of electricity is PhP 4 per kWh (kilowatt-hour) during daytime
EL 50 m
V
pump-
turbine
EL 10 mV

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