4. A pump-storage plant uses a turbine to generate hydropower during the day, letting water from the upper reservoir flow through the turbine into the lower reservoir as sketched. The plant then pumps water back up to the upper reservoir during the night. In a typical pump-storage plant, the same turbomachine is used as both the pump and the turbine and is called a pump-turbine. The plant is profitable because the demand for electric power is much higher during the day than it is at night, and utility companies sell power at much lower prices at night to encourage customers to use the available power generation Generator/motor Pump- turbine H gross capacity and to avoid building new expensive power plants that would be used only a short time during peak periods. Utilities are also willing to purchase power produced during the day from private parties at a high price. Suppose a utility company is selling electric power for $0.030/kWh at night and is willing to pay $0.120/kWh for power produced during the day. A pump-storage plant has a gross head Hgross of 90.0 m and can handle a volume flow rate of 4.6 m³/s in both directions. The irreversible head losses in the piping system are estimated as 5.0 m in either direction at this flow rate. The efficiency of the combined pump-motor is 88 percent and that of the combined turbine-generator is 92 percent. The plant runs in pump mode for 10 hours each night and runs in turbine mode for 10 hours each day. It operates 340 days in a year. How much net revenue ($) does this pump-storage plant generate in one year? 4

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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4. A pump-storage plant uses a turbine to generate
hydropower during the day, letting water from the upper
reservoir flow through the turbine into the lower reservoir
as sketched. The plant then pumps water back up to the
upper reservoir during the night. In a typical pump-storage
plant, the same turbomachine is used as both the pump and
the turbine and is called a pump-turbine. The plant is
profitable because the demand for electric power is much
higher during the day than it is at night, and utility
companies sell power at much lower prices at night to
encourage customers to use the available power generation
Generator/motor
Pump-
turbine
H
gross
capacity and to avoid building new expensive power plants that would be used only a short time during peak periods.
Utilities are also willing to purchase power produced during the day from private parties at a high price. Suppose a
utility company is selling electric power for $0.030/kWh at night and is willing to pay $0.120/kWh for power
produced during the day. A pump-storage plant has a gross head Hgross of 90.0 m and can handle a volume flow rate
of 4.6 m³/s in both directions. The irreversible head losses in the piping system are estimated as 5.0 m in either
direction at this flow rate. The efficiency of the combined pump-motor is 88 percent and that of the combined
turbine-generator is 92 percent. The plant runs in pump mode for 10 hours each night and runs in turbine mode for 10
hours each day. It operates 340 days in a year. How much net revenue ($) does this pump-storage plant generate in
one year?
4
Transcribed Image Text:4. A pump-storage plant uses a turbine to generate hydropower during the day, letting water from the upper reservoir flow through the turbine into the lower reservoir as sketched. The plant then pumps water back up to the upper reservoir during the night. In a typical pump-storage plant, the same turbomachine is used as both the pump and the turbine and is called a pump-turbine. The plant is profitable because the demand for electric power is much higher during the day than it is at night, and utility companies sell power at much lower prices at night to encourage customers to use the available power generation Generator/motor Pump- turbine H gross capacity and to avoid building new expensive power plants that would be used only a short time during peak periods. Utilities are also willing to purchase power produced during the day from private parties at a high price. Suppose a utility company is selling electric power for $0.030/kWh at night and is willing to pay $0.120/kWh for power produced during the day. A pump-storage plant has a gross head Hgross of 90.0 m and can handle a volume flow rate of 4.6 m³/s in both directions. The irreversible head losses in the piping system are estimated as 5.0 m in either direction at this flow rate. The efficiency of the combined pump-motor is 88 percent and that of the combined turbine-generator is 92 percent. The plant runs in pump mode for 10 hours each night and runs in turbine mode for 10 hours each day. It operates 340 days in a year. How much net revenue ($) does this pump-storage plant generate in one year? 4
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