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Q#1 Transmission and Distribution GATE EE 2023 NAT +1 mark -0 marks

A  line of length  has the following parameters:

Resistance,

Inductance, ;

Capacitance,

The line is represented by the nominal-  model. With the magnitudes of the sending end and the receiving end voltages of the line (denoted by  and , respectively) maintained at , the phase angle difference  between  and  required for maximum possible active power to be delivered to the receiving end, in degree is ________ (Round off to 2 decimal places).

Explanation:

The expression for active power delivered to receiving end is,

For maximum value of PR

Phase shift b/w Vs & VR δ = β

For nominal π-model, ABCD parameter are given by

L = 1 mH/km × 400 km = 400 mH = 0.4 H

R = 0.035 Ω/Km × 400 km = 14Ω

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