In an induction motor, if the rotor resistance is equal to standstill ...
At maximum torque, rotor resistance is equal to slip times of reactance.
At starting condition (s = 1), rotor resistance is equal to standstill reactance.
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Introduction:
Induction motor is a type of AC motor where the rotor rotates at a speed less than the synchronous speed of the stator magnetic field. It operates on the principle of electromagnetic induction. The maximum torque that can be produced by the motor is an important parameter.
Explanation:
When the rotor resistance is equal to standstill reactance, it is called the maximum torque condition. At this condition, the slip of the motor is maximum, i.e., the rotor speed is minimum. The torque produced by the motor is maximum at this condition.
The starting torque of the motor is the torque produced by the motor when it is started from standstill. The starting torque is given by the equation T_s = (3V^2 / 2πf) * (R_2 / (R_1^2 + X_1^2))^2, where V is the supply voltage, f is the frequency, R_1 and X_1 are the stator resistance and reactance, and R_2 is the rotor resistance.
When the rotor resistance is equal to standstill reactance, i.e., R_2 = X_2, the starting torque of the motor is maximum. At this condition, the rotor current is maximum, and the torque produced by the motor is also maximum.
Therefore, when the rotor resistance is equal to standstill reactance, the maximum torque produced by the motor is equal to the starting torque.
Conclusion:
In an induction motor, when the rotor resistance is equal to standstill reactance, the maximum torque produced by the motor is equal to the starting torque.