A three phase, Y connected, 380 V, 50 Hz, four pole induction motor has the following equivalent circuit parameters in ohms per phase referred to the stator: R₁ = 0.11, R₂ = 0.23, X₁ = 1.1, X₂ = 1.1, Xm = 25.4. For the slip of 4%, a) Calculate speed of the rotor flux with respect to rotor bars and frequency of the current induced in the rotor bars b) Calculate input power. c) Calculate shaft torque (induced torque). Assume that the load torque equals induced torque found in part (c) and is constant at all speeds,

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A three phase, Y connected, 380 V₁-1, 50 Hz, four pole induction motor has the following equivalent circuit parameters in
ohms per phase referred to the stator:
R₁ = 0.11, R₂ = 0.23, X₁ = 1.1, X₂ = 1.1, Xm = 25.4. For the slip of 4%,
a) Calculate speed of the rotor flux with respect to rotor bars and frequency of the current induced in the rotor bars
b) Calculate input power.
Calculate shaft torque (induced torque).
Assume that the load torque equals induced torque found in part (c) and is constant at all speeds,
d) Can this motor self-start, why?
e)
Voltage control is applied to the motor to reduce the speed of the motor to 1000 rpm. Find the required stator voltage value
to rotate the rotor at this speed.
Transcribed Image Text:A three phase, Y connected, 380 V₁-1, 50 Hz, four pole induction motor has the following equivalent circuit parameters in ohms per phase referred to the stator: R₁ = 0.11, R₂ = 0.23, X₁ = 1.1, X₂ = 1.1, Xm = 25.4. For the slip of 4%, a) Calculate speed of the rotor flux with respect to rotor bars and frequency of the current induced in the rotor bars b) Calculate input power. Calculate shaft torque (induced torque). Assume that the load torque equals induced torque found in part (c) and is constant at all speeds, d) Can this motor self-start, why? e) Voltage control is applied to the motor to reduce the speed of the motor to 1000 rpm. Find the required stator voltage value to rotate the rotor at this speed.
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