For a 500 Hz frequency excitation, a 50 km long power line will be modeled as

For a 500 Hz frequency excitation, a 50 km long power line will be modeled as

SOLUTION

For one full wave variation, the length of the line for 50 Hz supply will be given as

f λ = v

Where

f = Frequency

λ = length of the line

v = Velocity of the wave i.e 3 x 108 m/s

For 500 Hz

λ = v/f

= 3 x 108  / 500

= 600 Km

Hence the transmission line above 250 Km is treated as a Long transmission line.

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