Reduction in Stator Voltage and its Impact on Torque

Introduction:
The stator voltage of a squirrel cage induction motor plays a crucial role in determining the torque developed by the motor. When the stator voltage is reduced, it affects the motor's performance, including the torque it can produce. In this explanation, we will discuss the impact of reducing the stator voltage on the torque developed by the motor.

Impact of Stator Voltage on Torque:
To understand the impact of stator voltage on torque, we need to consider the relationship between these two parameters. The torque developed by an induction motor is directly proportional to the square of the stator voltage.

Torque ∝ (Stator Voltage)^2

Percent Reduction in Stator Voltage:
In this scenario, the stator voltage is reduced to 50% of its rated value. Therefore, the reduction in stator voltage can be calculated as follows:

Reduction in Stator Voltage = 100% - 50% = 50%

Impact on Torque:
Now, let's calculate the percentage reduction in torque based on the given reduction in stator voltage. Using the relationship between torque and stator voltage, we can deduce the following:

Percentage Reduction in Torque = (Reduction in Stator Voltage)^2

Substituting the given values:

Percentage Reduction in Torque = (50%)^2 = 25%

Therefore, the torque developed by the squirrel cage induction motor would be reduced by 25% of its load value when the stator voltage is reduced to 50% of its rated value.

Explanation:
When the stator voltage is reduced, the magnetic field generated in the motor is weakened. As a result, the interaction between the stator and rotor fields decreases, leading to a reduction in the motor's torque output. The reduction in stator voltage directly affects the power input to the motor, which ultimately impacts the torque developed.

It is important to note that reducing the stator voltage below its rated value can have adverse effects on motor performance. It can lead to increased heating, reduced efficiency, and potential damage to the motor windings. Therefore, it is essential to operate induction motors within their specified voltage range to ensure optimal performance and longevity.