Compute the \(4 \times 4\) per-unit zero-, positive-, and negative-sequence bus impedance matrices for the power system given in Problem 9.5. Use a base of 1000 MVA and \(20 \mathrm{kV}\) in the zone of generator \(\mathrm{G} 3\).

Data From Problem 9.5:-

Equipment ratings for the four-bus power system shown in Figure 7.14 are given as follows:

The inductor connected to generator G3 neutral has a reactance of \(0.028 \Omega\). Draw the zero-, positive-, and negative-sequence reactance diagrams using a 1000-MVA, \(20-\mathrm{kV}\) base in the zone of generator G3. Neglect \(\Delta-Y\) transformer phase shifts.

Figure 7.14:-

Transcribed Image Text:

Generator G1: Generator G2: 500 MVA, 13.8 kV, X = X2 = 0.20, Xo = Generator G3: Transformer T1: Transformer T2: Transformer T3: Each line: 0.10 per unit 750 MVA, 18 kV, X = X2 = 0.18, X = 0.09 per unit 1000 MVA, 20 kV, X = 0.17, X2 = 0.20, Xo = 0.09 per unit 500 MVA, 13.8 kV A/500 kV Y, X = 0.12 per unit 750 MVA, 18 kV A/500 kV Y, X = 0.10 per unit 1000 MVA, 20 kV A/500 kV Y, X = 0.10 per unit X1 = 50 ohms, Xo 150 ohms =