List of top Power Systems Questions on Transmission Line Parameters asked in GATE EE

For the balanced 3-phase transmission line shown, consider the following cases:

Case-1: \(|V_1|=1.1\) p.u., \(|V_2|=0.9\) p.u., \(Z=0.75\angle0^{\circ}\) p.u. and \(\theta_{12}=\theta_1-\theta_2=0^{\circ}\)

Case-2: \(|V_1|=1.1\) p.u., \(|V_2|=0.9\) p.u., \(Z=0.75\angle90^{\circ}\) p.u. and \(\theta_{12}=\theta_1-\theta_2=90^{\circ}\)

Which of the following statements is/are correct about real power loss and reactive power loss in the line?

A balanced delta connected load consisting of series \(R=15 \, \Omega\) and \(C = 212.21 \, \mu F\) in each phase is connected to a 3-phase, 50 Hz, 415 V supply terminals through a line having an inductance of \(L = 31.83 \, \text{mH}\) per phase. Considering supply voltage unchanged, find the magnitude of voltage across terminals \(V_{AB}\) in Volts. (Round off to nearest integer). \begin{center} \includegraphics[width=0.5\textwidth]{34.jpeg} \end{center}