Equipment ratings for the five$-$bus power system shown above are as follows:

Generator G$1$: $50$ MVA, $12$ kV$,$ X$=$X$2=0\mathrm{.}2,$ X$0=0\mathrm{.}10$ per$-$unit

Generator G$2$: $100$ MVA, $10$ kV$,$ X$=0\mathrm{.}2,$ X$2=0\mathrm{.}23,$ X$0=0\mathrm{.}10$ per$-$unit

Transformer T$1$: $50$ MVA, $10$ kV Y$/138$ kV Y$,$ X $=0\mathrm{.}10$ per$-$unit

Transformer T$2$: $100$ MVA, $10$ kV $/138$ kV Y$,$ X $=0\mathrm{.}10$ per$-$unit

Each $138-$kV line: X$1=$ X$2=40,$ X$0=100$

Prefault load currents and $$Y transformer phase shifts are neglected. Prefault voltage is $1\mathrm{.}0$ per

unit. For per unit calculations, use a $100$ MVA, $10$KV base in the zone of generator $2,$

a$)$ Draw the zero, positive and negative sequence reactance diagrams.

b$)$ Faults at bus $1$ are of interest. Determine the Thevenin equivalent of each sequence network as

viewed from the fault bus.

c$)$ Determine the sub$-$transient fault current in per unit for a single line to ground fault at the fault

bus $1.$

d$)$ Compute the per unit zero sequence bus impedance matrices.

e$)$ Without computing, write the value of anyone element of the positive and negative sequence bus

impedance matrices Equipment ratings for the five$-$bus power system shown above are as follows:

Prefault load currents and $\backslash (\backslash$Delta $\backslash$mathrm$\{$Y$\}\backslash )$ transformer phase shifts are neglected. Prefault voltage is $1\mathrm{.}0$ per unit. For per unit calculations, use a $100$ MVA, $10$KV base in the zone of generator $2,$

a$)$ Draw the zero, positive and negative sequence reactance diagrams.

b$)$ Faults at bus $1$ are of interest. Determine the Thevenin equivalent of each sequence network as viewed from the fault bus.

c$)$ Determine the sub$-$transient fault current in per unit for a single line to ground fault at the fault bus $1.$

d$)$ Compute the per unit zero sequence bus impedance matrices.

e$)$ Without computing, write the value of anyone element of the positive and negative sequence bus impedance matrices