For the power system in Problem 3.41, the synchronous motor absorbs 1500 MW at 0.8 power factor leading with the bus 3 voltage at 18 kV. Determine the bus 1 and bus 2 voltages in kV. Assume that generators 1 and 2 deliver equal real powers and equal reactive powers. Also assume a balanced three-phase system with positive-sequence sources.
For the power system in Problem 3.41, the synchronous motor absorbs 1500 MW at 0.8 power factor leading with the bus 3 voltage at 18 kV. Determine the bus 1 and bus 2 voltages in kV. Assume that generators 1 and 2 deliver equal real powers and equal reactive powers. Also assume a balanced three-phase system with positive-sequence sources.
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ANSWER QUESTION 42 PLEASE.
***Line impedance between T4 and T5 is j25, not j2***
![3.42 For the power system in Problem 3.41, the synchronous motor absorbs
1500 MW at 0.8 power factor leading with the bus 3 voltage at 18 kV.
Determine the bus 1 and bus 2 voltages in kV. Assume that generators 1
and 2 deliver equal real powers and equal reactive powers. Also assume a
balanced three-phase system with positive-sequence sources.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50f8516f-ca69-4754-af99-d30dbf47eb66%2Fadc5056f-5aba-4e46-9b2d-4eabf1709862%2F5rbjxze_processed.png&w=3840&q=75)
Transcribed Image Text:3.42 For the power system in Problem 3.41, the synchronous motor absorbs
1500 MW at 0.8 power factor leading with the bus 3 voltage at 18 kV.
Determine the bus 1 and bus 2 voltages in kV. Assume that generators 1
and 2 deliver equal real powers and equal reactive powers. Also assume a
balanced three-phase system with positive-sequence sources.
![3.41 Consider the single-line diagram of the power system shown in
Figure 3.38. Equipment ratings are
Generator 1:
1000 MVA, 18 kV, X" =
0.2 per unit
Generator 2:
1000 MVA, 18 kV, X" = 0.2 p.u.
Synchronous motor 3:
1500 MVA, 20 kV, X" = 0.2 p.u.
Three-phase A-Y transformers
T1,T3, T3, Tạ:
1000 MVA, 500 kV Y/20 kV A,
X = 0.1 p.u.
Three-phase Y-Y transformer T3: 1500 MVA, 500 kV Y/20 kV Y,
X = 0.1 p.u.
Neglecting resistance, transformer phase shift, and magnetizing reac-
tance, draw the equivalent reactance diagram. Use a base of 100 MVA
and 500 kV for the 50-ohm line. Determine the per-unit reactances.
FIGURE 3.38
2
Problems 3.41
j 50 N
and 3.42
T2
T4
T3
| 25 2
T5
3)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50f8516f-ca69-4754-af99-d30dbf47eb66%2Fadc5056f-5aba-4e46-9b2d-4eabf1709862%2Fvo0ze4r_processed.png&w=3840&q=75)
Transcribed Image Text:3.41 Consider the single-line diagram of the power system shown in
Figure 3.38. Equipment ratings are
Generator 1:
1000 MVA, 18 kV, X" =
0.2 per unit
Generator 2:
1000 MVA, 18 kV, X" = 0.2 p.u.
Synchronous motor 3:
1500 MVA, 20 kV, X" = 0.2 p.u.
Three-phase A-Y transformers
T1,T3, T3, Tạ:
1000 MVA, 500 kV Y/20 kV A,
X = 0.1 p.u.
Three-phase Y-Y transformer T3: 1500 MVA, 500 kV Y/20 kV Y,
X = 0.1 p.u.
Neglecting resistance, transformer phase shift, and magnetizing reac-
tance, draw the equivalent reactance diagram. Use a base of 100 MVA
and 500 kV for the 50-ohm line. Determine the per-unit reactances.
FIGURE 3.38
2
Problems 3.41
j 50 N
and 3.42
T2
T4
T3
| 25 2
T5
3)
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