QUESTION: Problem P2 (20 points): A synchronous 60 Hz, 18 kV, 360 MVA generator is connected to an infinite bus (ideal voltage source- zero internal impedance) through a step-up transformer and a series capacitor compensated transmission line as in Figure P2. The generator's transient reactance (positive sequence) is 0.20 per unit on the generator ratings. The negative and zero sequence impedances of the generator are j0.21 and j0.11 pu on the generator ratings. The transformer is 360 MVA, 18 kV/230 kV, delta/wye connected (wye on the 230 kV side) with a leakage impedance of j0.08 pu on the transformer ratings. The transmission line positive sequence impedance is j0.62 ohms per mile, the negative sequence impedance is also j0.62 ohms per mile and the zero-sequence impedance is j1.85 ohms per mile. The length of the line is 165 miles long. The absolute value of the capacitor impedance is 45% of the absolute value of the transmission line positive sequence impedance. For initial conditions (prior to any faults) you can consider one of the two options below: Option 1: The internal voltage (generated) by the generator is 1.0 pu and the voltage of the infinite source is 1.0 pu. Determine the phase angles of these voltages so that prior to the fault there is zero power flow through the high side voltage of the transformer. Option 2: The generator delivers rated power at rated voltage at unity power factor at the terminals of the generator. (a) Compute the transmission line impedance in per-unit on the same base as for the 230 kV side of the transformer. (b) Compute the series capacitor impedance in per-unit on the same base as for the 230 kV side of the transformer. (c) Compute the three phase fault current for a three phase fault on the high side bus of the transformer in per-unit and in Amperes. (d) Compute the single line to ground fault current for a single line to ground fault on the high side bus of the transformer in per-unit and in Amperes. Figure P2 Hint: A similar problem is provided in Chapter 4, problem P4.3. NEED DETAILED HANDWRITTEN SOLUTIONS:/nTH 360 MVA 18/230 kV 8% G 360 MVA 18 kV Z₁ =j 0.20 230 kV Line Figure P2 Series Capacitor Infinite Bus

Fig: 1