Context

A grid is connected to a load bus and a generator. The user will input the parameters of the grid, the parameters of the generator and the lines impedances. The software will show the currents and voltages for different types of faults.

Instruction

The user will provide the following information:

Nominal voltage of the system $($kV$).$ This voltage is the same for the grid and for the generator.

Grid

Short$-$circuit capacity of the solidly grounded grid $($MVA$).$

Reactance $($p$.$u$.,$ rectangular form$)$ at the point fault $=xO=x1=x2$ of the grid. $R$ is negligible.

Generator

Capacity $($MVA$)$

$x^{\text{'}\text{'}},x_2$ and $x_0($p$.$u$.,$ rectangular form$)$ and neutral impedance $($p$.$u$.,$ rectangular form$).$

Lines impedances: $Z_{12},Z_{23},Z_{13}($ohms$,$ rectangular form$).$

Fault impedance: $Z_F($ohms$,$ rectangular form$).$

For a fault at load bus only, the following quantities will be calculated and displayed on a per unit base:

Faults

SLG Fault

LL Fault

Quantities

$I_3,I_b$&$I_c($per unit, rectangular form$)$

$V_{ag},V_{bg}^{{?}^{?}}{V}_{cg}$ at load bus during each fault $($per unit, rectangular form$)$

LL Fault

Quantities

$,I_a,I_b$&$I_c($per unit, rectangular form$)$

$,V_{ag},V_{bg}^{{?}^{?}}{V}_{cg}$ at load bus during each fault $($per unit, rectangular form$)$

We are assuming:

$V_{\text{B}\text{A}\text{S}\text{E}}$: Voltage of the system

$S_{\text{B}\text{A}\text{S}\text{E}}$:$100$ MVA

No pre$-$fault currents $($The load of bus $3$ is neglected$)$

$V_F=1$ p$.$u$.$

Solve this problem. Assume the inputs needed to solve.