Q1. For the system shown below, calculate the per unit values using a system base of 100 MVA and 15 kV in the circuit of generator G. Draw the single line diagram with the equivalent per unit impedance values.

Q2. For the system below, assume a three phase-ground fault on bus 3 with the fault impedance of j0.005:

a) Find the admittance matrix.

b) Find all the fault currents, including the generators

c) Find the fault voltages.

Q3. For the system shown below:

a) Find the fault current for a three phase fault at bus 2 through a fault impedance of Z_f = j0.062 pu.

b) Find the currents from the generators (I_G1, I_G2, I_G3).

Q4. The per unit bus impedance matrix of a four-bus network is:

Generators are connected to buses 1 and 2 and their subtransient reactances of j0.2 pu were included in the impedance matrix calculations. Find the fault currents from the generators for a solid three-phase fault on bus 4.