aUESTION $5$

For the balanced abc $($Positive$)$ sequence three$-$phase Y$-$Y system shown in the Fig$\mathrm{.}5.$ The source impedance $(Z_S)$ per phase is $50+j50,$ the line impedance $(Z_l)$ per phase is $45+j39,$ while the per$-$phase impedance of the load $(Z_L)$ is $35+j26.$ If the phase voltage is $V_{an}=\frac{220}{{?}_{30}}V($RMS$),$ Find:

i$)$ line currents, $(I_a,I_b,I_c)$

ii$)$ load phase voltages $(V_{AN},V_{BN},V_{CN}),$

iii$)$ line voltages at the load side $(V_{AB},V_{BC},V_{CA}),$