Using the bus impedance matrices determined in Problem 9.42.

Problem 9.42

(a) Compute the \(3 \times 3\) per-unit zero-, positive-, and negative-sequence bus impedance matrices for the power system given in Problem 9.1. Use a base of \(1000 \mathrm{MVA}\) and \(765 \mathrm{kV}\) in the zone of line 1-2.

(b) Using the bus impedance matrices.

Problem 9.1

The single-line diagram of a three-phase power system is shown in Figure 9.17. Equipment ratings are given as follows:

Synchronous generators:

Transformers:

Transmission lines:

The inductor connected to Generator 3 neutral has a reactance of 0.05 per unit using generator 3 ratings as a base. Draw the zero-, positive-, and negative-sequence reactance diagrams using a \(1000-\mathrm{MVA}, 765-\mathrm{kV}\) base in the zone of line 1-2. Neglect the \(\Delta-Y\) transformer phase shifts.

G1 1000 MVA G2 1000 MVA G3 500 MVA G4 750 MVA 15 kV 15 kV 13.8 kV 13.8 kV X = X = 0.18, X, = 0.07 per unit X = X = 0.20, X, = 0.10 per unit X = X = 0.15, X, = 0.05 per unit X = 0.30, X = 0.40, X, 0.10 per unit =