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The parameter of an equivalent circuit of a three-phase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is
  • a)
    rotor leakage reactance
  • b)
    stator resistance
  • c)
    rotor resistance
  • d)
    magnetizing reactance
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The parameter of an equivalent circuit of a three-phase induction moto...


By reducing the rms value of supply voltage at rated frequency, magnetizing current changes which changes the magnetizing reactance
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The parameter of an equivalent circuit of a three-phase induction moto...
Effect of reducing the rms value of the supply voltage on the equivalent circuit of a three-phase induction motor

Introduction:
The equivalent circuit of a three-phase induction motor is a simplified representation that allows us to analyze the motor's electrical behavior. This circuit includes various parameters that characterize the motor's electrical and magnetic properties.

Parameter affected by reducing the rms value of the supply voltage:
The parameter affected by reducing the rms value of the supply voltage at the rated frequency is the magnetizing reactance.

Explanation:
When the rms value of the supply voltage is reduced, it directly impacts the magnetizing reactance of the motor. The magnetizing reactance, denoted as Xm, represents the reactive component of the motor's magnetic circuit. It is responsible for creating the magnetic field in the motor's core.

Consequences of reducing the supply voltage:
When the supply voltage is reduced, the magnetizing reactance undergoes the following changes:

1. Increase in the magnetizing current: The magnetizing current, which is proportional to the magnetizing reactance, increases as the supply voltage decreases. This is because the magnetizing current is directly related to the magnetizing reactance in the motor's equivalent circuit.

2. Decrease in the magnetizing flux: The magnetizing reactance is inversely proportional to the magnetizing flux in the motor's core. As the supply voltage decreases, the magnetizing reactance increases, resulting in a decrease in the magnetizing flux.

3. Reduction in the motor's torque production: The magnetizing flux plays a vital role in the torque production of the motor. With a decrease in the magnetizing flux due to reduced supply voltage, the motor's torque production is negatively affected. This reduction in torque directly impacts the motor's performance.

Therefore, by reducing the rms value of the supply voltage at the rated frequency, the magnetizing reactance of the motor is affected, resulting in an increase in the magnetizing current, a decrease in the magnetizing flux, and a reduction in the motor's torque production.
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The parameter of an equivalent circuit of a three-phase induction motor affected by reducing the rms value of the supply voltage at the rated frequency isa)rotor leakage reactanceb)stator resistancec)rotor resistanced)magnetizing reactanceCorrect answer is option 'D'. Can you explain this answer?
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