A 50-HP 400-volt 12-pole 60-Hz wye-connected 3-phase synchronous motor has armature resistance of 0.1 ohms per phase and synchronous reactance of 0.4 ohms per phase. The motor is driving rated mechanical load (i.e., the load is 50 HP) with mechanical losses equivalent to 4,000 watts. The motor is operated at rated voltage and rated frequency. The line current is measured to be 75 amperes per phase. Assume a balanced three-phase system. Use 1 HP = 746 watts. Solve for the following: 1. Load Torque (in Nm) 2. Total three-phase developed power of the motor (in kW) 3. Power Factor 4. Overall Machine Efficiency

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A 50-HP 400-volt 12-pole 60-Hz wye-connected 3-phase synchronous motor has armature resistance of
0.1 ohms per phase and synchronous reactance of 0.4 ohms per phase. The motor is driving rated
mechanical load (i.e., the load is 50 HP) with mechanical losses equivalent to 4,000 watts. The motor is
operated at rated voltage and rated frequency. The line current is measured to be 75 amperes per
phase. Assume a balanced three-phase system. Use 1 HP = 746 watts.
Solve for the following:
1. Load Torque (in Nm)
2. Total three-phase developed power of the motor (in kW)
3. Power Factor
4. Overall Machine Efficiency
Transcribed Image Text:A 50-HP 400-volt 12-pole 60-Hz wye-connected 3-phase synchronous motor has armature resistance of 0.1 ohms per phase and synchronous reactance of 0.4 ohms per phase. The motor is driving rated mechanical load (i.e., the load is 50 HP) with mechanical losses equivalent to 4,000 watts. The motor is operated at rated voltage and rated frequency. The line current is measured to be 75 amperes per phase. Assume a balanced three-phase system. Use 1 HP = 746 watts. Solve for the following: 1. Load Torque (in Nm) 2. Total three-phase developed power of the motor (in kW) 3. Power Factor 4. Overall Machine Efficiency
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