Review of Transmission Line

Draw phasor diagram and derive the expression for midpoint voltage, current flow, active power, and reactive power flow through the symmetrical transmission line.

A 100 km long, 132 kV (line to line), 50 Hz transmission line has parameters as follow: Resistance of the line : Negligible Inductance of the line : 1.85 mH /km The above line is used to transmit the power with sending end and receiving end voltage constant at 132 kV with a phase angle of 30$^{\circ}$ between them. Calculate: (i) The total power transmitted over the line and mid point voltage. (ii) A series compensator is to be used to achieve the power transmitted increased by 25%, calculate the amount of capacitance to be connected in series.

200 km long, 132 kV, 50 Hz, symmetrical transmission line has an inductance of 1 mH/km per phase. The phase angle between sending end voltage and receiving end voltage is 30$^{\circ}$. Neglecting the resistance and shunt capacitance of the line, calculate: (i) Active and reactive power through the line (ii) Value of series capacitor required to increase the active power flow by 10%.