Synchronous Machine Homework Help: Calculating Generated Voltage and Power Angle

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SUMMARY

This discussion focuses on calculating generated voltage and power angle for synchronous machines, specifically a 4MVA, 13.3kV, 60Hz, delta-connected alternator with a resistance of 5.2 ohm/phase and armature reactance of 54 ohm/phase. The calculations include full-load generated voltage at unity power factor (pf), 0.8 pf lagging, and 0.866 leading pf. Additionally, it covers a 750kVA, 2300V alternator's voltage regulation at 0.8 pf lagging using data from open and short circuit tests. The discussion also addresses the open circuit voltage of a star-connected alternator and the power angle for a single-phase alternator operating at 0.88 pf lagging.

PREREQUISITES
  • Understanding of synchronous machine operation
  • Knowledge of three-phase power systems
  • Familiarity with power factor concepts
  • Ability to perform electrical circuit calculations
NEXT STEPS
  • Study synchronous machine voltage regulation techniques
  • Learn about the impact of power factor on alternator performance
  • Explore the calculations for open circuit voltage in star-connected alternators
  • Review the principles of conducting open and short circuit tests on alternators
USEFUL FOR

Electrical engineering students, power system engineers, and professionals involved in the design and analysis of synchronous machines will benefit from this discussion.

mayeh
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Homework Statement


1. A 4MVA, 13.3kV, 60Hz, 3 phase, delta-connected alternator has an effective resistance of 5.2 ohm/phase and a combined armature reactance of 54 ohm/phase. Determine the full-load generated voltage per phase, a. At unity pf, b. at 0.8 pf lagging, and at 0.866 leading pf.

2. A 750kVA, 2300V, delta-connected, 3-phase alternator has had open and short circuit tests performed and the following date were obtained:

Short Circuit test

Field current = 31.5A
Line current = rated

Open-circuit test

Field-current = 31.5A
Line voltage=1050V

The dc resistance across the terminals was measured at 0.38 ohm. Calculate the V.R. at 0.8pf lagging.

3. Calculate the open circuit votlage of a 3phase, star-connected alternator, 4 pole, 60Hz, 120 slots with each slot having 6 conductors in two layers. The machine is running at 1800rpm with a flux per pole of 125 milliWeber. The coil span is 12.

4. A single phase alternator, 50kVA, 460V supplies the rated load at 0.88 pf lagging. The dc resistance across the terminals is 0.5 ohm and the synchronous reactance is 2.5 ohm. Calculate the angle of the power.

Homework Equations



no idea.

The Attempt at a Solution

1. Homework Statement

I don't have any idea about this one. it wasn't taught to us. so please help.
 
Last edited:
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