A $30-\mathrm{km}, 34.5-\mathrm{kV}, 60-\mathrm{Hz}$ Three-Phase Line Has a Positive-Sequence Series Impedance $z=0.19+j 0.34 \Omega / \mathrm{km}$

Essay

A $30-\mathrm{km}, 34.5-\mathrm{kV}, 60-\mathrm{Hz}$ three-phase line has a positive-sequence series impedance $z=0.19+j 0.34 \Omega / \mathrm{km}$ . The load at the receiving end absorbs 10 MVA at $33 \mathrm{kV}$ . Assuming a short line, calculate: (a) the $A B C D$ parameters, (b) the sending-end voltage for a load power factor of 0.9 lagging, (c) the sending-end voltage for a load power factor of 0.9 leading.