If the surge impedance of a 3-phase 132 kV transmission line is 1000 Ω, then surge impedance loading will be

Concept:

The surge impedance or characteristic impedance of a long transmission line is given by,

\({Z_C} = \sqrt {\frac{Z}{Y}} \)

Z is series impedance per unit length per phase

Y is shunt admittance per unit length per phase

Surge Impedance for the transmission line is about 400 ohms it is around 40 ohms for underground cables.

Surge impedance loading (SIL):

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 \( = \frac{{{V^2}}}{{{Z_C}}}\;MW\)

Calculation:

Surge impedance (ZC) = 1000 Ω

Voltage (V) = 132 kV

Surge impedance loading \( = \frac{{{{\left( {132 \times {{10}^3}} \right)}^2}}}{{1000}} = 17.424\;MW\)