A 300-MV A 20-kV three-phase generator has a subtransient reactance of 21%. The generator supplies a number of synchronous motors over a 64-km transmission line having transformers at both ends, as shown on the one-line diagram of the following figure. The motors, all rated 13.2 kV, are represented by just two equivalent motors. The neutral of one motor M, is grounded through reactance. The neutral of the second motor M2 is not connected to ground (an unusual condition). Rated inputs to the motors are 200 MVA and 100 MVA for M1 and M2, respectively. For both motors reactance XM = 20.6%. The three-phase transformer T, is rated 350 MVA, 230/20 kV with leakage reactance of 14%. Transformer T, is rated 220/13.2 kV, 300 MVA with leakage reactance of 10%. The series reactance of the transmission line is 0.44 Ohm/km. Draw the reactance diagram with all reactances marked in per unit. Select the generator rating as the base in the generator circuit.

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 3.44P: A 130-MVA,13.2-kV three-phase generator, which has a positive-sequence reactance of 1.5 per unit on...
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A 300-MV A 20-kV three-phase generator has a subtransient reactance of 21%. The generator supplies a number of
synchronous motors over a 64-km transmission line having transformers at both ends, as shown on the one-line
diagram of the following figure. The motors, all rated 13.2 kV, are represented by just two equivalent motors. The
neutral of one motor M, is grounded through reactance. The neutral of the second motor M2 is not connected to
ground (an unusual condition). Rated inputs to the motors are 200 MVA and 100 MVA for M1 and M2, respectively.
For both motors reactance XM = 20.6%. The three-phase transformer T, is rated 350 MVA, 230/20 kV with leakage
reactance of 14%. Transformer T2 is rated 220/13.2 kV, 300 MVA with leakage reactance of 10%. The series reactance
of the transmission line is 0.44 Ohm/km. Draw the reactance diagram with all reactances marked in per unit. Select
the generator rating as the base in the generator circuit.
13.2 kV
T1
T2
200 MVA
M1 JXMI
64 km
G1
13.2 kV
M, 100 MVA
XMI
20/230 kV
220/13.2 kV
300 MVA
20 kV
350 MVA
300 MVA
XT1
XTI
Xg
Consider a solid three-phase to ground fault occurred at the terminal of motor M2 calculate the magnitude of the
fault current in kA.
Answer:
Transcribed Image Text:A 300-MV A 20-kV three-phase generator has a subtransient reactance of 21%. The generator supplies a number of synchronous motors over a 64-km transmission line having transformers at both ends, as shown on the one-line diagram of the following figure. The motors, all rated 13.2 kV, are represented by just two equivalent motors. The neutral of one motor M, is grounded through reactance. The neutral of the second motor M2 is not connected to ground (an unusual condition). Rated inputs to the motors are 200 MVA and 100 MVA for M1 and M2, respectively. For both motors reactance XM = 20.6%. The three-phase transformer T, is rated 350 MVA, 230/20 kV with leakage reactance of 14%. Transformer T2 is rated 220/13.2 kV, 300 MVA with leakage reactance of 10%. The series reactance of the transmission line is 0.44 Ohm/km. Draw the reactance diagram with all reactances marked in per unit. Select the generator rating as the base in the generator circuit. 13.2 kV T1 T2 200 MVA M1 JXMI 64 km G1 13.2 kV M, 100 MVA XMI 20/230 kV 220/13.2 kV 300 MVA 20 kV 350 MVA 300 MVA XT1 XTI Xg Consider a solid three-phase to ground fault occurred at the terminal of motor M2 calculate the magnitude of the fault current in kA. Answer:
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