Assignment Task:

The Transformer element of Power System, was fully covered in the course by now, You were asked to start practicing your programming skills to apply the $Y_{\text{B}\text{u}\text{s}}$ algorithm on the Tool MatLab as a preparation for the Final Project of the course.

As an assistant Power System engineer, you are to apply your program on the following sample systems shown in the single line diagram of Fig. $1$ to compute the $Y_{\text{B}\text{u}\text{s}\text{.}}$ Using a base of $1000$ MVA and $500$ kV base for the $50$ lines. Note that the reference node zero is not shown on the single line diagram.

The equipment ratings are as follows:

Synchronous generator $1$:$1300$MVA,$20kV,x{g}_1=0\mathrm{.}2$ p$.$u$.$

Synchronous generator $2$:$800$MVA,$18kV,x{g}_2=0\mathrm{.}1$ p$.$u$.$

Induction motor $3$: $500$MVA,$20kV,x{m}_3=0\mathrm{.}2p.u.$

$3,-Y$ Transformers : $1200$MVA,$450kV\frac{}{20}kVY,x_{TI,3,5}=0\mathrm{.}15p.u.$

$T_1,T_3,$Transformers are wound to follow the American Standard

$T_5,$ Transformer is a regulating transformer with tap set to provide $+5\%$ increase towards the transmission lines.

$,3,$ Y$-$Y Transformer: $800$MVA,$500kV\frac{Y}{18}kV,x_{T2,4}=0\mathrm{.}2$ p$.$u$.$

Th$.$ TA $.$ are wound according to Fig $2$