Consider the above equivalent circuit of Synchronous Machine. The nominal values of a star connected synchronous generator are : 60 MVA, 15 kV, 50Hz , 3000rpm. Since the synchronous reactance of this machine X0= 75% and artery resistance r=1.5 mΩ, calculate the values of induced pole wheel voltage (Ef) a)while the machine is running ohmic(cos(Ø) = 1 at rated load b)while the machine is running ohmic(cos(Ø) = 0.8(end) at rated load

Power System Analysis and Design (MindTap Course List)
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Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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Chapter12: Power System Controls
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Consider the above equivalent circuit of Synchronous Machine. The nominal values of a star connected synchronous generator are : 60 MVA, 15 kV, 50Hz , 3000rpm. Since the synchronous reactance of this machine X0= 75% and artery resistance r=1.5 mΩ, calculate the values of induced pole wheel voltage (Ef)

a)while the machine is running ohmic(cos(Ø) = 1 at rated load

b)while the machine is running ohmic(cos(Ø) = 0.8(end) at rated load

E,
AV
+ o
X.
Ve
E,
V
E
L
Ф
Fig. Equivalent Circuit of Synchronous Machine
Consider the above equivalent circuit of Synchronous Machine. The nominal values of a star connected synchronous generator are : 60 MVA, 15
kV, 50 Hz. 3000 rpm. Since the synchronous reactance of this machine z, = 75% and artery resistance r = 1.5 ml, calculate the values of
induced pole wheel voltage (Ef)
a) While the machine is running ohmic (cos(4) = 1 at rated load
b) While the machine is running ohmic (cos(4) = 0.8 (end) at rated load
O a. Case a : 4490.25 < 29.4857° V
Case b: 3478.8 < 33.87° V
O b. Case a : 7098.65 < 39.4857° V
Case b: 9438.8 < 23.78° V
O . Case a : 4790.55 < 29.4857° V
Case b: 7438.8 < 23.78° V
O d. Case a : 10828.1 < 36.8589° V
Case b: 13591.7 < 22.4669° V
O e. Case a : 5490.55 < 30.4857° V
Case b: 5438.8 < 20.78° V
Transcribed Image Text:E, AV + o X. Ve E, V E L Ф Fig. Equivalent Circuit of Synchronous Machine Consider the above equivalent circuit of Synchronous Machine. The nominal values of a star connected synchronous generator are : 60 MVA, 15 kV, 50 Hz. 3000 rpm. Since the synchronous reactance of this machine z, = 75% and artery resistance r = 1.5 ml, calculate the values of induced pole wheel voltage (Ef) a) While the machine is running ohmic (cos(4) = 1 at rated load b) While the machine is running ohmic (cos(4) = 0.8 (end) at rated load O a. Case a : 4490.25 < 29.4857° V Case b: 3478.8 < 33.87° V O b. Case a : 7098.65 < 39.4857° V Case b: 9438.8 < 23.78° V O . Case a : 4790.55 < 29.4857° V Case b: 7438.8 < 23.78° V O d. Case a : 10828.1 < 36.8589° V Case b: 13591.7 < 22.4669° V O e. Case a : 5490.55 < 30.4857° V Case b: 5438.8 < 20.78° V
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