The demand for electric power is usually much higher during the day than it is at night, and utility companies often sell power at night at much lower prices to encourage consumers to use the available power generation capacity and to avoid building new expensive power plants that will 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. Reservoir 50 m Pump- turbine Lake 7- Suppose a utility company is selling electric power for $0.06/kWh at night and is willing to pay $0.13/kWh for power produced during the day. To take advantage of this opportunity, an entrepreneur is considering building a large reservoir 50 m above the lake level, pumping water
The demand for electric power is usually much higher during the day than it is at night, and utility companies often sell power at night at much lower prices to encourage consumers to use the available power generation capacity and to avoid building new expensive power plants that will 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. Reservoir 50 m Pump- turbine Lake 7- Suppose a utility company is selling electric power for $0.06/kWh at night and is willing to pay $0.13/kWh for power produced during the day. To take advantage of this opportunity, an entrepreneur is considering building a large reservoir 50 m above the lake level, pumping water
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 demand for electric power is usually much higher during the day than it is at night, and
utility companies often sell power at night at much lower prices to encourage consumers to use
the available power generation capacity and to avoid building new expensive power plants that
will 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.
Reservoir
50 m
Pump-
turbine
Lake
7-
Suppose a utility company is selling electric power for $0.06/kWh at night and is willing to pay
$0.13/kWh for power produced during the day. To take advantage of this opportunity, an
entrepreneur is considering building a large reservoir 50 m above the lake level, pumping water](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff418f970-2a48-422b-ba20-90a3914c8452%2Fb7e6e127-9d53-434d-8837-ab3a738d8c7b%2Fv9qs4r5_processed.png&w=3840&q=75)
Transcribed Image Text:The demand for electric power is usually much higher during the day than it is at night, and
utility companies often sell power at night at much lower prices to encourage consumers to use
the available power generation capacity and to avoid building new expensive power plants that
will 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.
Reservoir
50 m
Pump-
turbine
Lake
7-
Suppose a utility company is selling electric power for $0.06/kWh at night and is willing to pay
$0.13/kWh for power produced during the day. To take advantage of this opportunity, an
entrepreneur is considering building a large reservoir 50 m above the lake level, pumping water
![from the lake to the reservoir at night using cheap power, and letting the water flow from the
reservoir back to the lake during the day, producing power as the pump-motor operates as a
turbine-generator during reverse flow. Preliminary analysis shows that a water flow rate of
2 m³/s can be used in either direction, and the irreversible head loss of the piping system is 4 m.
The combined pump-motor and turbine-generator efficiencies are expected to be X percent
each. Assuming the system operates for 10 h each in the pump and turbine modes during a
typical day, determine the potential revenue this pump-turbine system can generate per year.
X (%)
80](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff418f970-2a48-422b-ba20-90a3914c8452%2Fb7e6e127-9d53-434d-8837-ab3a738d8c7b%2Fc91oyx_processed.png&w=3840&q=75)
Transcribed Image Text:from the lake to the reservoir at night using cheap power, and letting the water flow from the
reservoir back to the lake during the day, producing power as the pump-motor operates as a
turbine-generator during reverse flow. Preliminary analysis shows that a water flow rate of
2 m³/s can be used in either direction, and the irreversible head loss of the piping system is 4 m.
The combined pump-motor and turbine-generator efficiencies are expected to be X percent
each. Assuming the system operates for 10 h each in the pump and turbine modes during a
typical day, determine the potential revenue this pump-turbine system can generate per year.
X (%)
80
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How do u get the H pump equation ?. Please write the detail
![The demand for electric power is usually much higher during the day than it is at night, and
utility companies often sell power at night at much lower prices to encourage consumers to use
the available power generation capacity and to avoid building new expensive power plants that
will 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.
Reservoir
50 m
Pump-
turbine
Lake
7-
Suppose a utility company is selling electric power for $0.06/kWh at night and is willing to pay
S0. 13/kWh for power produced during the day. To take advantage of this opportunity, an
entrepreneur is considering building a large reservoir 50 m above the lake level, pumping water](https://content.bartleby.com/qna-images/question/724af5d4-6565-4371-a3f0-3ab102a94190/e82dd325-5a8c-42d9-9942-49507805ba94/ooer58_thumbnail.png)
Transcribed Image Text:The demand for electric power is usually much higher during the day than it is at night, and
utility companies often sell power at night at much lower prices to encourage consumers to use
the available power generation capacity and to avoid building new expensive power plants that
will 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.
Reservoir
50 m
Pump-
turbine
Lake
7-
Suppose a utility company is selling electric power for $0.06/kWh at night and is willing to pay
S0. 13/kWh for power produced during the day. To take advantage of this opportunity, an
entrepreneur is considering building a large reservoir 50 m above the lake level, pumping water
![The power required for the turbine – pump to function as pump during
the night
is given by
Ppump = 1pg Q (H – Hioss)
n is the efficiency of the turbine pump
p is the density of water (Assuming it as 1000 kg /m?)
g is the acceleration due to gravity - 9.81 m/s?
Q is the volume flow rate
H is the total head available
hr is the irreversible head loss
Ppump
np g Q (H – Hios)
0.8х 1000 х 9.81 x 2х (50— 4) -](https://content.bartleby.com/qna-images/question/724af5d4-6565-4371-a3f0-3ab102a94190/e82dd325-5a8c-42d9-9942-49507805ba94/5vb5jzp_thumbnail.png)
Transcribed Image Text:The power required for the turbine – pump to function as pump during
the night
is given by
Ppump = 1pg Q (H – Hioss)
n is the efficiency of the turbine pump
p is the density of water (Assuming it as 1000 kg /m?)
g is the acceleration due to gravity - 9.81 m/s?
Q is the volume flow rate
H is the total head available
hr is the irreversible head loss
Ppump
np g Q (H – Hios)
0.8х 1000 х 9.81 x 2х (50— 4) -
Solution
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