Consider the above equivalent circuit of Synchronous Machine. The nominal values of a star connected synchronous generator are : 75 MVA, 12.5 kV, 50Hz , 3000 rpm .Since the synchronous reactance of this machine x0= 80% 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)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.12P
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Electric Machine;

Consider the above equivalent circuit of Synchronous Machine. The nominal values of a star connected synchronous generator are : 75 MVA, 12.5 kV, 50Hz , 3000 rpm .Since the synchronous reactance of this machine x0= 80% 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

AV
Fig. Equivalent Circuit of Synchronous Machine
Consider the above equivalent circuit of Synchronous Machine. The nominal values of a star connected synchronous generator are : 75 MVA, 12.5 kV, 50 Hz, 3000 rpm. Since the synchronous reactance of
this machine I,
80% and artery resistance r
1.5 m2, calculate the values of induced pole wheel voltage (Ef)
a) While the machine is running ohmic (cos() = 1 at rated load
b) While the machine is running ohmic (cos(0) = 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
Oc Case a : 9246.17 < 38.6397° V
Case b: 11639.4 < 23.363° V
O d. Case a : 5490,55 < 30.4857° V
Case b: 5438.8 < 20.78° V
O e. Case a: 4790.55 < 29.4857° V
Case b: 7438.8 < 23.78° V
Transcribed Image Text:AV Fig. Equivalent Circuit of Synchronous Machine Consider the above equivalent circuit of Synchronous Machine. The nominal values of a star connected synchronous generator are : 75 MVA, 12.5 kV, 50 Hz, 3000 rpm. Since the synchronous reactance of this machine I, 80% and artery resistance r 1.5 m2, calculate the values of induced pole wheel voltage (Ef) a) While the machine is running ohmic (cos() = 1 at rated load b) While the machine is running ohmic (cos(0) = 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 Oc Case a : 9246.17 < 38.6397° V Case b: 11639.4 < 23.363° V O d. Case a : 5490,55 < 30.4857° V Case b: 5438.8 < 20.78° V O e. Case a: 4790.55 < 29.4857° V Case b: 7438.8 < 23.78° V
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