Which of the following is true, considering the rotor of a three-phase induction motor in the blocked state?

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MPPGCL JE Electrical 28 April 2023 Shift 1 Official Paper
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  1. Supply frequency > Rotor frequency
  2. Supply frequency = Rotor frequency 
  3. Supply frequency < Rotor frequency
  4. Rotor frequency = 0 (Always)

Answer (Detailed Solution Below)

Option 2 : Supply frequency = Rotor frequency 
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Detailed Solution

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Concept

The slip of an induction motor is given by:

\(s={N_s-N_r\over N_s}\)

where, Ns = Synchronous speed

Nr = Rotor speed 

Explanation

The rotor frequency of a 3ϕ induction motor is given by:

\(f_r=sf_s\)

When the rotor of a three-phase induction motor is in the blocked state (not rotating), the rotor speed, i.e. Nr = 0

\(s={N_s-0\over N_s}\)

s = 1

The rotor induced frequency is:

\(f_r=1\times f_s\)

\(f_r=f_s\)

Supply frequency = Rotor frequency 

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