# The voltage at the two ends of a line are 132 kV and its reactance is 40 ohms. The capacity of the line is

356 views
in General
closed
The voltage at the two ends of a line are 132 kV and its reactance is 40 ohms. The capacity of the line is
1. 217.8 MW
2. 251.5 MW
3. 435.6 MW
4. 500 MW

by (110k points)
selected

Correct Answer - Option 3 : 435.6 MW

Concept:

The maximum power transfer capacity of the transmission line is given by

$P = \frac{{\left| {{V_s}} \right|\left| {{V_r}} \right|}}{X}$

Where,

|Vs| is sending end voltage of transmission line

|Vr| is receiving end voltage of transmission line

X is the series reactance of transmission line

Calculation:

Given

Vs = Vr = 132 kV

X = 40 Ω

The capacity of the line P

P = (132 × 103)2 / 40 = 435.6 MW

Therefore, the capacity of the line is 435.6 MW