PLEASE SOLVE $6\mathrm{.}40,$ SHOW ALL THE VALUES AFTER EACH ITERATION

$6\mathrm{.}38$ A generator bus $($with a $1\mathrm{.}0$ per unit voltage$)$ supplies a $180MW,60$Mvar load through a lossless transmission line with per unit $(100$ MVA base$)$ impedance of $j0\mathrm{.}1$ and no line charging. Starting with an initial voltage guess of $1\mathrm{.}00,$ iterate until converged using the Newton$-$Raphson power flow method. For convergence criteria, use a maximum power flow mismatch of $0\mathrm{.}1$ MVA.

$6\mathrm{.}40$ Repeat Problem $6\mathrm{.}38$ except use an initial voltage guess of $\frac{0\mathrm{.}25}{0}.$

Hint:

$6\mathrm{.}38$

First, convert all values to per$-$unit.

$P_{pu}=\frac{P}{S_{\text{b}\text{a}\text{s}\text{e}}}=\frac{-180MW}{100\text{M}\text{V}\text{A}}=-1\mathrm{.}8p.u.$

$Q_{pu}=\frac{Q}{S_{\text{b}\text{a}\text{s}\text{e}}}=\frac{-60MW}{100\text{M}\text{V}\text{A}}=-0\mathrm{.}6p.u.$

$y_{\text{m}\text{a}\text{x}\text{,}pu}=\frac{y_{\text{m}\text{a}\text{x}}}{S_{\text{b}\text{a}\text{s}\text{e}}}=\frac{0\mathrm{.}1\text{M}\text{V}\text{A}}{100\text{M}\text{V}\text{A}}=1E-4p.u.$

Since there are $2$ buses, we need to solve $2(n-1)=2$ equations. Therefore, J has dimension $22.$