Finding the Series Compensating Reactance and the Delay

Angle of TCSC

$,$ BMS

The particulars of a transmission line are $V=220V,f=60Hz,x=12,$ and $P_p=56kW.$ The particulars of the TCSC are $=80,C=20F,$ and $L=0\mathrm{.}4mH.$ Find $($a$)$ the degree of compensation $r.($b$)$ the compensating capacitance reactance $x_{\text{c}\text{o}\text{m}\text{p}},($c$)$ the line current I, $($d$)$ the reactive power $Q_c,($e$)$ the delay angle $$ of the TCSC if the effective capacitive reactance is $x_T=-50,$ and $($f$)$ plot $x_L()$ and $x_T()$ against the delay angle $.$

a$)0\mathrm{.}914,$ b$)10\mathrm{.}7,$

c$)317\mathrm{.}23$ A

d$)1\mathrm{.}104$ MV AR$,$

e$)77\mathrm{.}707$