A single phase 50 hz, generator supplies an inductive load of 5 MW at a power factor of 0.8 lagging using OHTL over 20 km. The resistance and reactance are 0.39Ω and 3.96 Ω. The voltage at receiving station is maintained at 10 KV. Identify the transmission line and the voltage regulation

To analyze the given problem, we can approach it in a structured manner.

1. Calculate the apparent power (S):

The real power (P) is given as 5 MW and the power factor (pf) is 0.8.
[

S = frac{P}{pf} = frac{5 , text{MW}}{0.8} = 6.25 , text{MVA}

]

2. Calculate current (I):

The voltage at the receiving end (V_R) is 10 kV.

[

I = frac{S}{sqrt{3} cdot V_R} = frac{6.25 times 10^3 , text{VA}}{sqrt{3} cdot 10 times 10^3 , text{V}} = frac{6.25}{sqrt{3} cdot 10} approx 0.361 , text{A}

]

3. Calculate the voltage drop (V_drop) in the line:

Given the resistance (R) is 0.39 Ω and the reactance (X) is 3.96 Ω, we can calculate the voltage drop using:

[

V_{drop} = I cdot Z

]

Where