Problem 2 - A 1000 – MVA, 20 – kV, 60 – Hzthree-phase generator is connected through a 1000 - MVA, 20 – kVA/345 – kVYtransformer to a 345 – kVcircuit breaker and a 345 – kVtransmission line. The generator reactances are X = 0.15, X¼ = 0.3, Xa = 1.4(pu) and its time constants are Tä = 0.05, T = = 1.0, T, = 0.1(s). The transformer series reactance is 0.06pu; transformer losses and %3D exciting currents are neglected. A three-phase bolted fault (solid 3-phase phase short circuit) occurs on the line side of the circuit breaker when the generator is operated at rated terminal voltage and at no-load. The breaker interrupts the fault 3 cycles after fault inception (neglect the effect of the transformer on generator time constants.) Determine the following (a) The subtransient current (p.u.) through the breaker (b) The sub-transient current (kA) through the breaker (c) The RMS ac (symmetric) fault current (p.u.) after 3 cycles (d) The RMS ac (symmetric) fault current (kA) after 3 cycles (e) The RMS asymmetrical fault current the breaker interrupts (p.u.), assuming maximum dc offset (f) The RMS asymmetrical fault current the breaker interrupts (kA) assuming maximum dc offset

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Please solve d, e, f ONLY.

Problem 2 - A 1000 – MVA, 20 – kV, 60 – Hzthree-phase generator is connected through a 1000 –
MVA, 20 – kVA/345 – kVYtransformer to a 345 – kVcircuit breaker and a 345 – kVtransmission line.
The generator reactances are Xa = 0.15, X¼ = 0.3, Xa = 1.4(pu) and its time constants are Ta =
0.05, Ta =
exciting currents are neglected. A three-phase bolted fault (solid 3-phase phase short circuit) occurs
on the line side of the circuit breaker when the generator is operated at rated terminal voltage and at
no-load. The breaker interrupts the fault 3 cycles after fault inception (neglect the effect of the
transformer on generator time constants.) Determine the following
= 1.0, TA = 0.1(s). The transformer series reactance is 0.06pu; transformer losses and
(a) The subtransient current (p.u.) through the breaker
(b) The sub-transient current (kA) through the breaker
(c) The RMS ac (symmetric) fault current (p.u.) after 3 cycles
(d) The RMS ac (symmetric) fault current (kA) after 3 cycles
(e) The RMS asymmetrical fault current the breaker interrupts (p.u.), assuming maximum dc offset
(f) The RMS asymmetrical fault current the breaker interrupts (kA) assuming maximum dc offset
Transcribed Image Text:Problem 2 - A 1000 – MVA, 20 – kV, 60 – Hzthree-phase generator is connected through a 1000 – MVA, 20 – kVA/345 – kVYtransformer to a 345 – kVcircuit breaker and a 345 – kVtransmission line. The generator reactances are Xa = 0.15, X¼ = 0.3, Xa = 1.4(pu) and its time constants are Ta = 0.05, Ta = exciting currents are neglected. A three-phase bolted fault (solid 3-phase phase short circuit) occurs on the line side of the circuit breaker when the generator is operated at rated terminal voltage and at no-load. The breaker interrupts the fault 3 cycles after fault inception (neglect the effect of the transformer on generator time constants.) Determine the following = 1.0, TA = 0.1(s). The transformer series reactance is 0.06pu; transformer losses and (a) The subtransient current (p.u.) through the breaker (b) The sub-transient current (kA) through the breaker (c) The RMS ac (symmetric) fault current (p.u.) after 3 cycles (d) The RMS ac (symmetric) fault current (kA) after 3 cycles (e) The RMS asymmetrical fault current the breaker interrupts (p.u.), assuming maximum dc offset (f) The RMS asymmetrical fault current the breaker interrupts (kA) assuming maximum dc offset
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