The Loss Distribution of a typical Induction Motor

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Effect of change in Frequency in Induction Motor

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The frequency of the supply voltage applied to an induction motor has a direct effect on the motor’s speed and torque. The speed of an induction motor is given by the equation: Speed = (120 x Frequency) / Number of Poles This equation shows that the speed of an induction motor is directly proportional to the frequency of the supply voltage. Therefore, if the frequency of the supply voltage is increased, the speed of the motor will increase. Conversely, if the frequency of the supply voltage is decreased, the speed of the motor will decrease. The torque produced by an induction motor is also affected by the frequency of the supply voltage. The torque produced by an induction motor is proportional to the square of the supply voltage and inversely proportional to the frequency of the supply voltage. Therefore, if the frequency of the supply voltage is increased, the torque produced by the motor will decrease. Conversely, if the frequency of the supply voltage is decreased, the torque pro...
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The concept of Minimum - Base - Maximum speed of a motor in VFD operation

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In general, in an enquiry sheet for motors which will be running with VVVFD, the speed range may read as below 0-500-1200 0-1000-1500 100-750-1000 The meaning of this speed range is that the within the first two speed the motor should provide constant torque, and at the last or the highest speed the motor is expected to provide constant power. For a 50Hz motor, Constant Torque Zone will be limited up to 50Hz. For a self cooled motor it may be from 30Hz to 50Hz and for a forced cooled motor it may be from 10Hz to 50Hz.  Constant power zone is that zone which is beyond motor rated frequency. in this zone Voltage becomes constant and the frequency is increasing. hence V/f ratio will not be maintained and thus the torque will fall. However, upto certain speed the power will be constant. In constant power zone the rated torque of the motor will be  Tnom ∝ 1/ Nop Tnom = nominal or rated torque Nop = operating speed. Hope this is okay to understand. 
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Concept about Constant Torque Zone and Constant Power Zone

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Two distinct zones that are often discussed in relation to induction motor performance are the Constant Torque Zone and the Constant Power Zone. Constant Torque Zone: The Constant Torque Zone, also known as the motoring zone, refers to a range of operating conditions in which the induction motor maintains a relatively constant torque output. In this zone, the motor is typically connected to a mechanical load, such as a conveyor belt or a pump, that requires a consistent level of torque to function properly. The torque generated by the motor remains relatively constant regardless of changes in motor speed. Within the Constant Torque Zone, the motor's torque is directly proportional to the square of the applied voltage, while the motor's speed is inversely proportional to the number of poles and directly proportional to the applied voltage. As a result, increasing the voltage supplied to the motor within this zone increases the torque output and consequently affects the motor...
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