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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Gradient of a Scalar Field

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