Transformers in a power system with a single line diagram in the figure operate at $15$MVA power, series reactance $\backslash (\backslash$mathrm$\{$X$\}=10\backslash \%\backslash$mathrm$\{$pu$\}\backslash )$ and $\backslash (10\backslash$Delta $/100\backslash$mathrm$\{$Y$\}\backslash$mathrm$\{$kV$\}\backslash )$ voltage levels. The serial reactance value of the transmission line is $\backslash (\backslash$mathrm$\{$X$\}=50\backslash$Delta $\backslash ).$ The system feeds a load of $10$MVA $(\backslash (8\backslash$mathrm$\{$MW$\}+\backslash$mathrm$\{$j$\}6\backslash$mathrm$\{$MVAr$\}\backslash )).$ Find the unit values of the system elements by taking Sbase $\backslash (=10\backslash$mathrm$\{$MVA$\}\backslash )$ and $\backslash (\backslash$mathrm$\{$Vbase$\}=12\mathrm{.}5\backslash$mathrm$\{$kV$\}\backslash )$ and ignoring the internal resistance of the generator. Perform the following steps with any power system analysis program and interpret the results.

$1.$Set the Generator voltage to $1\mathrm{.}07$ pu $.$

$2.$ Solve the load flow analysis using the Newton$-$Raphson method.

$3.$ Triple the line reactance and perform load flow analysis.

$4.$ Perform load flow analysis by changing the reactive power Q between $0\mathrm{.}1$ pu and $2$ pu while keeping the active power P constant.

$5.$ Perform load flow analysis by changing the active power P between $0\mathrm{.}1$ pu and $2$ pu while keeping the reactive power Q constant.

$6.$ Evaluate the drop in the end$-$of$-$line voltage by examining the results.

$7.$ Consider methods that can be used to increase the end$-$of$-$line voltage $($you will compare the line reactance with the value in step $8$ when examining the factors below$).$

a$)$ Parallel compensation. $($Add parallel C or B by changing the busbar information at the end of the line$).$

b$)$ Tuned transformer. $($Change the conversion ratio by changing the information of the T$2$ transformer$).$

c$)$ Place a second parallel line.

d$)$ Apply series compensation on the line $($reduce the line reactance$).$

e$)$ Increase the transmission line voltage level. $($For this you will need to recalculate the base impedance of the transmission line and the pu value of the line impedance. For transformers, use a conversion ratio of $\backslash (10/200\backslash )).$

$8.$ Discuss your results and evaluate the advantages and disadvantages of each method.

$9.$ Draw the phasor diagram for a single value for each set of experiments.