A 250 MVA, 25 kV, 3 phase synchronous generator has a synchronous reactance X, of 1.6 pu. It is delivering the rated output of 250 MVA, 25 kV at the generator terminals at a power factor of 1.0. (a) Calculate the per unit base impedance of the generator ZB and the synchronous reactance X, in Ohm. (b) Calculate the phase current magnitude. (c) Calculate the per phase voltage drop E – V across the synchronous reactance.

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
Chapter7: Symmetrical Faults
Section: Chapter Questions
Problem 7.6P
icon
Related questions
icon
Concept explainers
Question

Answer or step for A-F

A 250 MVA, 25 kV, 3 phase synchronous generator has a synchronous reactance
Xs of 1.6 pu. It is delivering the rated output of 250 MVA, 25 kV at the generator
terminals at a power factor of 1.0.
(a) Calculate the per unit base impedance of the generator ZB and the synchronous
reactance X, in Ohm.
(b) Calculate the phase current magnitude.
(c) Calculate the per phase voltage drop E – V across the synchronous reactance.
(d) Calculate the line to neutral no load voltage E
(e) Now suppose there is a 3 phase fault near the generator terminals. Assuming
the field current and E remain the same, calculate the steady state fault current
magnitude.
(f) The initial fault current due to the 3 phase fault is much larger because for tran-
sient situations the effective synchronous reactance is much smaller. The transient
synchronous reactance is X = 0.23 pu. Use the transient synchronous reactance
to calculate the initial fault current. This fault current is used to design the circuit
breakers because this is the worst case current that the circuit breakers will have to
interrupt.
Transcribed Image Text:A 250 MVA, 25 kV, 3 phase synchronous generator has a synchronous reactance Xs of 1.6 pu. It is delivering the rated output of 250 MVA, 25 kV at the generator terminals at a power factor of 1.0. (a) Calculate the per unit base impedance of the generator ZB and the synchronous reactance X, in Ohm. (b) Calculate the phase current magnitude. (c) Calculate the per phase voltage drop E – V across the synchronous reactance. (d) Calculate the line to neutral no load voltage E (e) Now suppose there is a 3 phase fault near the generator terminals. Assuming the field current and E remain the same, calculate the steady state fault current magnitude. (f) The initial fault current due to the 3 phase fault is much larger because for tran- sient situations the effective synchronous reactance is much smaller. The transient synchronous reactance is X = 0.23 pu. Use the transient synchronous reactance to calculate the initial fault current. This fault current is used to design the circuit breakers because this is the worst case current that the circuit breakers will have to interrupt.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Protection System in Power Plant
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Power System Analysis and Design (MindTap Course …
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning