Alternator in parallel new critical clearing time

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SUMMARY

The discussion centers on calculating the critical clearing time (TCR) for alternators operating in parallel, specifically using the equation TCR proportional to the square root of (H / (P times frequency)). The participants assume identical alternators, leading to H being represented as 2H. The calculated new TCR is 0.567 seconds, while the book states the answer is 0.4 seconds, indicating a discrepancy due to ambiguities in the problem statement regarding generator sizes and power bases.

PREREQUISITES
  • Understanding of critical clearing time in power systems
  • Familiarity with the concept of inertia constant (H) in alternators
  • Knowledge of per unit (p.u.) system in electrical engineering
  • Basic grasp of parallel operation of alternators
NEXT STEPS
  • Research the impact of inertia constant (H) on system stability
  • Learn about the per unit system and its application in power systems
  • Study the dynamics of parallel operation of synchronous machines
  • Explore methods for resolving ambiguities in power system problem statements
USEFUL FOR

Electrical engineers, power system analysts, and students studying synchronous machine operation and stability analysis will benefit from this discussion.

jaus tail
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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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