Complex Imaginary (version 2011) Exam 1, Problem 30

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This is a problem on finding the Maximum Power Output for a question generator. They use a formula

P=3*Vphase*Vinternal / Xsynchronous

I'm a little confused as to Why the solutions use this problem. Can anyone explain?

Thanks!

 
Hazard level said:
This is a problem on finding the Maximum Power Output for a question generator. They use a formula

P=3*Vphase*Vinternal / Xsynchronous

I'm a little confused as to Why the solutions use this problem. Can anyone explain?

Thanks!
Click to expand...
Will you post the problem?

 
Both Wildi and Stevenson have this relationship.. from Stevenson (Elements of PSA 4th ed):

P =((V sub term x E sub g) / X sub g )  typically times sin Pangle

Since this is on a per-phase basis if the voltages are given in phase voltages you have 3X

And to maximize in theory you set sin Pangle = 1

Just to get a good feeling on units, it is analogous to P = V^2/R as far as units go...

 
DK PE, Thanks for explaining this solution. The analogy of P = V^2/R is very helpful and makes sense!

 

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