The speed of an induction motor is directly proportional to the frequency of the applied voltage. This relationship is defined by what's known as the synchronous speed formula:
Synchronous Speed (Ns) = (120 * Frequency) / Number of Poles
Where:
Ns is the synchronous speed in revolutions per minute (RPM).
Frequency is the supply frequency in Hertz (Hz).
Number of Poles refers to the number of magnetic poles in the motor.
In an ideal scenario, where the motor is running without any load or slip, the actual motor speed (called the rotor speed) will be very close to the synchronous speed. However, in reality, there is always some slip due to the load on the motor, which causes the rotor speed to be slightly lower than the synchronous speed.
When the frequency of the applied voltage increases, the synchronous speed of the motor also increases proportionally. As a result, if the frequency is increased, the motor will run at a higher speed, provided the load is constant.
Conversely, if the frequency of the applied voltage decreases, the synchronous speed of the motor will decrease as well. Consequently, the motor will run at a lower speed if the frequency is reduced while keeping the load constant.
It's important to note that changing the frequency of the power supply without considering the motor's design and load characteristics may lead to unexpected behavior and can potentially damage the motor. Induction motors are designed to operate at specific frequencies and voltages, so any changes in these parameters should be done with careful consideration and appropriate adjustments to ensure the motor's safe and efficient operation.