The synchronizing power for one mechanical degree of displacement for a 3-phase, 20000 kVA, 6600 V, 50 Hz, 12-pole machine having Xs = 1.65 Ω and negligible resistance is

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ESE Electrical 2015 Paper 2: Official Paper
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  1. 1024.6 W
  2. 921.9 kW
  3. 782.6 kW
  4. 1182.6 kW

Answer (Detailed Solution Below)

Option 2 : 921.9 kW
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ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

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Synchronizing power of a synchronous machine is given by,

Where Ef is the internally generated emf

Vt is the terminal voltage

XS is the synchronous reactance

δ is the torque angle

Calculation:

Given that,

XS = 1.65 Ω

Mechanical angle (θm) = 1°

Number of poles (P) = 12

Electrical angle, 

 

= 2764.6 kW

= 921.53 kW per phase

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