At what value of load angle (δ) does the maximum power transfer in a power system?

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PGCIL DT Electrical 13 Aug 2021 Official Paper (NR I)
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  1. δ = 180°
  2. δ > 90°
  3. δ = 90°
  4. δ < 90°

Answer (Detailed Solution Below)

Option 3 : δ = 90°
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Detailed Solution

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Concept:

The maximum power transfer capacity of the transmission line is given by

\(P = \frac{{\left| {{V_s}} \right|\left| {{V_r}} \right|}}{X}\sin δ \)

Where,

|Vs| is sending end voltage of transmission line

|Vr| is receiving end voltage of transmission line

X is the series reactance of transmission line

δ is load angle

Explanations:

For maximum power transfer, sin δ should be equal to 1, so δ = 90°

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