Alternator in parallel new critical clearing time

AI Thread Summary
The discussion centers on calculating the new critical clearing time (TCR) for alternators operating in parallel. The critical clearing time is derived from the equation relating it to the square root of the system's inertia (H) and power (P). It is assumed that two identical machines will have a combined inertia of 2H, leading to a calculated new TCR of 0.567 seconds. However, there is ambiguity regarding the size of the generators and the per unit base for the power, which affects the final answer. The consensus leans towards the calculated answer being correct, despite discrepancies with the book's answer.
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Homework Statement


upload_2018-2-3_9-50-7.png


Homework Equations


critical clearing time proportional to square root of (H / (P times frequency) ) equation 1
Power remains same as alternator at 1p.u
Frequency is also same
H will increase.
It's not given so we can assume machines swing together, so H = H1 + H2 = 2H since they are identical.
If machine wouldn't swing together it'd be H1. H2/ (H1 + H2)

The Attempt at a Solution


So now we get from equation 1 time(clearing) proportional to Square root of H
So 0.4/(new tcr) = (square root of (H/2H) = 0.707
So new tcr = 0.567sec
Answer is D
Book answer is B
How?
 

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There's an ambiguity in the problem statement. Are the two generators the same size as the original generator, or are the two both half the size (rating) as the original one? It also doesn't say what the per unit base the 0.5 power is based on, system or generator? System is the usual base.

But with the most likely interpretations, I agree with you: D.
 
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