A 3-ph system is shown below where a generator supplies power to a synchronous motor. The operating data for the motor is it draws 45 MVA at (G) 0.8 pf lag at terminal voltage Vm = 9 kV. The rated data for other devices are given below. (a) Draw the per unit impedance diagram for the system by selecting common bases as 200 MVA for the system and 20 kV for the generator. (b) Show that the generator internal voltage must be at 11.032 kV. (c) Re-draw the per unit impedance diagram by selecting common bases as 999 MVA for the system and 99 kV for the motor. What must be the generator internal voltage in kV as per new base values. G 100 MVA, 10 kV, X = 0.1 pu T1 10/100 kV, 100 MVA, X = 0.1 pu T2 100/10 kV, 100 MVA, X = 0.1 pu Line 100 kV, R = 10 \Omega, X = 20 \Omega

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
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.56P: Three single-phase two-winding transformers, each rated 3kVA,220/110volts,60Hz, with a 0.10 per-unit...
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A 3-ph system is shown below where a generator supplies power to a synchronous motor. The
operating data for the motor is it draws 45 MVA at (G)
0.8 pf lag at terminal voltage Vm = 9 kV. The rated data for other devices are given below.
(a) Draw the per unit impedance diagram for the system by selecting common bases as 200 MVA
for the system and 20 kV for the generator.
(b) Show that the generator internal voltage must be at 11.032 kV.
(c) Re-draw the per unit impedance diagram by selecting common bases as 999 MVA for the
system and 99 kV for the motor. What must be
the generator internal voltage in kV as per new base values.
G 100 MVA, 10 kV, X = 0.1 pu
T1 10/100 kV, 100 MVA, X = 0.1 pu
T2 100/10 kV, 100 MVA, X = 0.1 pu
Line 100 kV, R = 10 \Omega, X = 20 \Omega
Transcribed Image Text:A 3-ph system is shown below where a generator supplies power to a synchronous motor. The operating data for the motor is it draws 45 MVA at (G) 0.8 pf lag at terminal voltage Vm = 9 kV. The rated data for other devices are given below. (a) Draw the per unit impedance diagram for the system by selecting common bases as 200 MVA for the system and 20 kV for the generator. (b) Show that the generator internal voltage must be at 11.032 kV. (c) Re-draw the per unit impedance diagram by selecting common bases as 999 MVA for the system and 99 kV for the motor. What must be the generator internal voltage in kV as per new base values. G 100 MVA, 10 kV, X = 0.1 pu T1 10/100 kV, 100 MVA, X = 0.1 pu T2 100/10 kV, 100 MVA, X = 0.1 pu Line 100 kV, R = 10 \Omega, X = 20 \Omega
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