Consider the power system depicted below, where the values associated with the lines are per unit admittance values. The per unit admittance value for the line connecting bus $1$ and bus $4$ is $\backslash (\backslash$alpha$-\backslash$beta j $\backslash ),$ where $\backslash (\backslash$alpha $\backslash )$ and $\backslash (\backslash$beta $\backslash )$ are defined according to the alphabetic order of your initials. For example, for initials $"$J$.$Q$.",\backslash (\backslash$alpha$=10\backslash )$ and $\backslash (\backslash$beta$=17\backslash ).$ Base values for the system are $100$ MVA and $230$ kV $.$

The bus data are listed in the table below, where $"$N$.$A$."$ indicates that the corresponding information is not available.

Write a computer program that implements a Newton$-$Raphson power flow solution. Your code can be based on modifying the Matlab script $($to be uploaded after homework $4$ is due$)$ that was presented in class, or you can write your own program from scratch. You can use the language of your choice $($e$.$g$.,$ C$,$ Python, etc$).$

Calculate:

$1.$ The voltage phasor at bus $4($in pu$).$

$2.$ The complex power generation at bus $2($in MW$/$MVAr$).$

$3.$ The total real power generation within this system $($in MW$).$

$4.$ The complex power leaving bus $1$ towards bus $3($in MW$/$MVAr$).$