A pumped storage scheme comprises two reversible pump turbines which transfer water between an upper and lower reservoir with a head difference of 400m. During a typical daily cycle, electrical power of 120kW is supplied to the pumps which deliver 15 litres/s for 6 hours overnight to the upper reservoir. During the daylight hours, a flow of 10 litres/s is used to release the same quantity of water to generate electrical energy. If the efficiency during generation is 90%, how much energy is lost per day? d. A horizontal-axis wind turbine with rotor 80m in diameter is 40% efficient in 15m/s wind at 600m altitude and 30°C. Calculate the total amount of power the wind turbine would produce in those winds. TABLE 6.1 Density of Dry Air at a Pressure of 1 Atmosphere Temperature Temperature Density Density Ratio (°C) (°F) (kg/m³) (KT) iii. 10 15 20 25 30 35 40 5.0 14.0 23.0 32.0 41.0 50.0 59.0 68.0 77.0 86.0 95.0 104.0 1.368 1.342 1.317 1.293 1.269 1.247 1.225 1.204 1.184 1.165 1.146 1.127 tynes 1.12 1.10 1.07 1.05 1.04 1.02 1.00 0.98 0.97 0.95 0.94 0.92 "The density ratio Ky is the ratio of density at 7 to the density at the standard (boldfaced) 15°C. TABLE 6.2 Air Pressure at 15°C as a Function of Altitude Altitude (meters) (Feet) 0 200 400 600 800 1000 1200 Altitude Pressure (atm) 1400 1600 1800 2000 2200 0 656 1312 1968 2625 3281 3937 4593 5249 5905 6562 7218 1 0.977 0.954 0.931 0.910 0.888 0,868 0.847 0.827 0.808 0.789 0.771 Pressure Ratic (KA) 1 0.977 0.954 0.931 0.910 0.888 A small business man has decided to install a PV energy system to fully supply electrical energy to his shop. The engineer assigned the job has sized the PV array to fully supply the small commercial load. He has also included a battery bank to supply the load for a maximum of 12 hours when the energy from the PV system is inadequate and a 10kW diesel generator as standby. 0.868 0.847 0.827 0.808 0.789 0.771 i. Based on your knowledge of connection types, name and sketch the layout of the connection type you would recommend for implementation. Ensure that the load is always fully supplied. ii. Explain the purpose and relevance of each component of the connection type you have chosen. Also write an argument justifying your choice over other possible connection

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
A pumped storage scheme comprises two reversible pump turbines which transfer water
between an upper and lower reservoir with a head difference of 400m. During a typical
daily cycle, electrical power of 120kW is supplied to the pumps which deliver 15 litres/s
for 6 hours overnight to the upper reservoir. During the daylight hours, a flow of 10
litres/s is used to release the same quantity of water to generate electrical energy. If the
efficiency during generation is 90%, how much energy is lost per day?
d. A horizontal-axis wind turbine with rotor 80m in diameter is 40% efficient in 15m/s
wind at 600m altitude and 30°C.
Calculate the total amount of power the wind turbine would produce in those winds.
TABLE 6.1 Density of Dry Air at a Pressure of 1
Atmosphere
i.
Temperature Temperature Density Density Ratio
(°C)
(°F)
(kg/m³)
(KT)
iii.
-15
-10
-5
5
10
15
:
30
35
40
5.0
14.0
23.0
32.0
41.0
50.0
59.0
68.0
77.0
$6.0
95.0
104.0
1.368
1.342
1.317
1.293
1.269
1.247
1.225
1.204
1.184
1.165
1.146
1.127
1.12
1.10
1.07
1.0
1.04
1.02
1.00
0.98
0.97
0.95
0.94
0.92
"The density ratio Ky is the ratio of density at 7 to the density
at the standard (boldfaced) 15°C.
TABLE 6.2 Air Pressure at 15°C as a Function
of Altitude
Altitude
(meters)
0
200
400
600
800
1000
1200
1400
1600
1800
2000
2200
Altitude
(Feet)
0
656
1312
1968
2625
3281
3937
4593
5249
5905
6562
7218
Pressure
(atm)
1
0.977
0.954
0.931
0.910
0.888
0,868
0.847
0.827
0.808
0.789
0.771
Pressure Ratic
(K₁)
1
0.977
0.954
0.931
0.910
0.888
0.868
0.847
0.827
A small business man has decided to install a PV energy system to fully supply
electrical energy to his shop. The engineer assigned the job has sized the PV array to
fully supply the small commercial load. He has also included a battery bank to supply
the load for a maximum of 12 hours when the energy from the PV system is
inadequate and a 10kW diesel generator as standby.
0.808
0.789
0.771
Based on your knowledge of connection types, name and sketch the layout of
the connection type you would recommend for implementation. Ensure that
the load is always fully supplied.
ii. Explain the purpose and relevance of each component of the connection type
you have chosen.
Also write an argument justifying your choice over other possible connection
types.
Transcribed Image Text:A pumped storage scheme comprises two reversible pump turbines which transfer water between an upper and lower reservoir with a head difference of 400m. During a typical daily cycle, electrical power of 120kW is supplied to the pumps which deliver 15 litres/s for 6 hours overnight to the upper reservoir. During the daylight hours, a flow of 10 litres/s is used to release the same quantity of water to generate electrical energy. If the efficiency during generation is 90%, how much energy is lost per day? d. A horizontal-axis wind turbine with rotor 80m in diameter is 40% efficient in 15m/s wind at 600m altitude and 30°C. Calculate the total amount of power the wind turbine would produce in those winds. TABLE 6.1 Density of Dry Air at a Pressure of 1 Atmosphere i. Temperature Temperature Density Density Ratio (°C) (°F) (kg/m³) (KT) iii. -15 -10 -5 5 10 15 : 30 35 40 5.0 14.0 23.0 32.0 41.0 50.0 59.0 68.0 77.0 $6.0 95.0 104.0 1.368 1.342 1.317 1.293 1.269 1.247 1.225 1.204 1.184 1.165 1.146 1.127 1.12 1.10 1.07 1.0 1.04 1.02 1.00 0.98 0.97 0.95 0.94 0.92 "The density ratio Ky is the ratio of density at 7 to the density at the standard (boldfaced) 15°C. TABLE 6.2 Air Pressure at 15°C as a Function of Altitude Altitude (meters) 0 200 400 600 800 1000 1200 1400 1600 1800 2000 2200 Altitude (Feet) 0 656 1312 1968 2625 3281 3937 4593 5249 5905 6562 7218 Pressure (atm) 1 0.977 0.954 0.931 0.910 0.888 0,868 0.847 0.827 0.808 0.789 0.771 Pressure Ratic (K₁) 1 0.977 0.954 0.931 0.910 0.888 0.868 0.847 0.827 A small business man has decided to install a PV energy system to fully supply electrical energy to his shop. The engineer assigned the job has sized the PV array to fully supply the small commercial load. He has also included a battery bank to supply the load for a maximum of 12 hours when the energy from the PV system is inadequate and a 10kW diesel generator as standby. 0.808 0.789 0.771 Based on your knowledge of connection types, name and sketch the layout of the connection type you would recommend for implementation. Ensure that the load is always fully supplied. ii. Explain the purpose and relevance of each component of the connection type you have chosen. Also write an argument justifying your choice over other possible connection types.
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