Hello I currently have a question which I am currently stuck on. I basically need to know the relationship between current phase angle and the torque angle.
here is the question
The synchronous motor of exercise E3 has a synchronous reactance of 5.0 per phase. (a) If the motor operates at full load with a torque angle of 45º and unity power factor, determine:
a) the phase voltage,
the excitation voltage,
the line current,
the output power,
the developed torque.
(b) If the excitation voltage is unchanged and the load on the motor is increased until the limit of stability is reached, determine:
the line current,
the power factor.
the output power,
the developed torque.
Here is excerise E3
A non-salient star-connected 2-pole 3-phase synchronous motor operates from a 50 Hz supply with a line voltage of 400 V. The line current is 46.2 A, and the power factor is 1.0. Mechanical losses and the armature resistance may be neglected. Determine: (a) the electrical input power, (b) the synchronous speed in rad/s, (c) the developed torque.
I made the two formulas equal to each to get I . the values I used is 231 for V
E=327V
Xs= 5 ohms
and Ws= 314 rad/s
the torque angle is 90
and the phase angle I am using is 0. I think that's where I am wrong
How can I get the phase angle is there a relationship?
Thanks
here is the question
The synchronous motor of exercise E3 has a synchronous reactance of 5.0 per phase. (a) If the motor operates at full load with a torque angle of 45º and unity power factor, determine:
a) the phase voltage,
the excitation voltage,
the line current,
the output power,
the developed torque.
(b) If the excitation voltage is unchanged and the load on the motor is increased until the limit of stability is reached, determine:
the line current,
the power factor.
the output power,
the developed torque.
Here is excerise E3
A non-salient star-connected 2-pole 3-phase synchronous motor operates from a 50 Hz supply with a line voltage of 400 V. The line current is 46.2 A, and the power factor is 1.0. Mechanical losses and the armature resistance may be neglected. Determine: (a) the electrical input power, (b) the synchronous speed in rad/s, (c) the developed torque.
I made the two formulas equal to each to get I . the values I used is 231 for V
E=327V
Xs= 5 ohms
and Ws= 314 rad/s
the torque angle is 90
and the phase angle I am using is 0. I think that's where I am wrong
How can I get the phase angle is there a relationship?
Thanks