Resistance of the star (wye) connection

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SUMMARY

The resistance of each phase in a three-phase generator does not simply add together in a Star (wye) connection. When converting from Delta to Wye, the new impedances are three times the Wye impedances if the load is balanced. For example, three 6-ohm resistors in Wye configuration equate to three 18-ohm resistors in Delta configuration. The equivalent circuit analysis shows that the line currents remain consistent across configurations.

PREREQUISITES
  • Understanding of three-phase electrical systems
  • Knowledge of Wye (Star) and Delta connections
  • Familiarity with impedance and resistance calculations
  • Basic electrical circuit analysis skills
NEXT STEPS
  • Study the Y-Δ transformation equations in detail
  • Learn about balanced vs. unbalanced loads in three-phase systems
  • Explore practical applications of Wye and Delta configurations in generators
  • Investigate the effects of load changes on circuit performance
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Electrical engineers, students studying power systems, and professionals involved in generator design and analysis will benefit from this discussion.

jearls74
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Does the resistances of each phase in a 3 phase generator add together in the Star (wye)?

I read on a windmill site that the Delta connection is typically one third the resistance of the Star. So if i had 3 phases that were .5 ohms each in Delta configuration, would the resistance be 1.5 ohms in Star?
 
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Do you mean the internal resistance of the generator? If so I think you should add those resistances with the ones of the load in its wye config.

For your second question: it's the opposite. If you have to convert a three phase wye load to a delta load, the new impedances will be three times the wye impedances. That is, if the load is balanced. If not you should apply the equations listed there http://en.wikipedia.org/wiki/Y-Δ_transform.

edit : If you meant that you would keep the same elements and connect them in star rather than delta, then yeah, as seen from the source, the impedance of the delta config would appear lower. What is written in the paragraph above is about what should be done to know the equivalent circuit as seen from a source. That is, three 6 ohm resistors connected in wye is the same as three 18 ohm resistors connected in delta : the line currents will be the same.

However if you keep your 6 ohm resistors that were connected in wye and then connect them in delta, the source will see three 2 ohm resistors connected in wye (or three 6 ohm resistors connected in delta!)
 
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