Why is S_{RATED}=I_{RATED}V_{RATED} Insufficient for Synchronous Generators?

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SUMMARY

The formula S_{RATED}=I_{RATED}V_{RATED} is insufficient for synchronous generators because it does not account for the three-phase nature of these machines. In the case of a synchronous generator with a nameplate rating of 10MVA and 13.8kV, the correct calculation for full load current requires using the formula I_{RATED} = S_{RATED} / (√3 * V_{line}). This adjustment is crucial for accurate voltage regulation calculations, as the line voltage must be considered in the context of three-phase power systems.

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sandy.bridge
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Hey all,

If we are given a synchronous generator with the following nameplate values 10MVA, 13.8kV, 2 pole, 60 Hz

why is it not sufficient to go
S_{RATED}=I_{RATED}V_{RATED}

as we did for transformers?

My reason for asking is because I am trying to determine the voltage regulation of a particular generator. However, if I determine the full load current using the above formula, I get an absurd result.
 
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Is the generator a 3 phase machine? If so, the apparent power = √3 Voltageline ⋅ Currentline.
13.8kv is a line voltage.
 
How silly of me. Honestly, this entire time my issue was that I did not divide S by three. Thanks!
 

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