Draw the torque characteristics of a cage induction motor.

I'm sorry, but I am unable to draw images. However, I can describe the torque characteristics of a cage induction motor for you.

The torque-speed characteristics of a cage induction motor typically show a linear relationship between torque and speed up to a certain point, known as the breakdown torque. At this point, the torque starts to decrease as the speed increases, resulting in a peak torque value.

The torque-speed curve of a cage induction motor is typically characterized by a high starting torque, which gradually decreases as the motor reaches its rated speed. The motor then operates at a nearly constant torque up to its breakdown torque, after which the torque decreases with further increases in speed.

Overall, the torque-speed characteristics of a cage induction motor show a relatively flat torque curve at rated speed, making them suitable for applications that require constant torque operation.

Cage Induction Motor Torque Characteristics

Starting Torque:
- High starting torque compared to synchronous motors
- Due to deep bar rotors and high slip at start

Pull-Up Torque:
- Torque increases with speed until it reaches the synchronous speed
- Corresponds to the maximum slip allowed before instability

Maximum Torque:
- Occurs at a slip of approximately 5-10%
- Highest torque the motor can develop without stalling

Breakdown Torque:
- Torque decreases rapidly as slip increases beyond the maximum torque point
- Corresponds to the motor's ability to recover from speed disturbances

Running Torque:
- Decreases slightly as speed approaches synchronous speed
- Due to the reduction in slip and the increasing effect of back EMF

Key Features:

- Torque is directly proportional to the square of the stator voltage
- Torque is inversely proportional to the square of the frequency
- Torque is approximately proportional to the slip