# A voltage of 1000 kV is applied to an overhead line with its receiving end open. If the surge impedance of the line is 500 ohm, then the total surge power in the line is

A voltage of 1000 kV is applied to an overhead line with its receiving end open. If the surge impedance of the line is 500 ohm, then the total surge power in the line is

### Right Answer is: 2000 MW

#### SOLUTION

Surge impedance loading is defined as the power load in which the total reactive power of the lines becomes zero. The reactive power generated by the shunt capacitance is consumed by the series inductance of the line.

$SIL\; = \frac{{{V^2}}}{{{Z_c}}}MW$

Where

Z = Surge impedance = 500 Ω

V =  Line Voltage = (1000 × 103)

$SIL = \frac{{{{\left( {1000{\rm{ }} \times {\rm{ }}{{10}^3}} \right)}^2}}}{{500}}$

SIL = 2000 MW

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