The power transfer in long transmission lines is limited by:

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MPMKVVCL Bhopal JE Electrical 24 August 2018 Official Paper
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  1. the magnitude of the voltages at the two ends, the reactance between the two ends and the sine of the angle between the two voltages
  2. the magnitude of the voltages at the two ends and the sine of the angle between the two voltages
  3. the magnitude of the voltages at the two ends, the reactance between the two ends and the cosine of the angle between the two voltages
  4. the magnitude of the voltages at the two ends and the cosine of the angle between the two voltages

Answer (Detailed Solution Below)

Option 1 : the magnitude of the voltages at the two ends, the reactance between the two ends and the sine of the angle between the two voltages
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Detailed Solution

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Power flow in transmission line

F2 Vinanti Engineering 21.03.23 D9

The real power at receiving end is given by:

\(P_R={V_SV_R\over X}sinδ\)

where, VS = Sending end voltage

VR = Receiving end voltage

X = Line reactance

δ = Load angle

The real power will flow between the source and load when the value of δ is not equal to zero.

The reactive power at receiving end is given by:

\(Q_R={V_R\over X}(V_Scos\delta-V_R)\)

The reactive power will flow between the source and load when the magnitude of sending and receiving voltages are not equal.

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