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Four alternators,┬аeach rated at 5 MVA, 11 kV, with 20% reactance are working in parallel. The short circuit level at bus is
25 MVA
20 MVA
25 MVA
100 MVA
100 MVA
Given: Four alternators, each rated at 5 MVA with 20% reactance, are connected in parallel.
Four alternators, each rated at 5 MVA with 20% reactance, are connected in parallel.
MVAscтАЛ=p.u.ReactanceTotalMVAтАЛ
Identify Total MVA
Since there are 4 alternators in parallel, each rated at 5 MVA, the total capacity is 4├Ч5=20┬аMVA.
MVAtotalтАЛ=4├Ч5=20┬аMVA
Determine Per Unit Reactance
The reactance given is 20%, which in per-unit (p.u.) form is 0.20.
XpuтАЛ=10020тАЛ=0.2
Calculate Short Circuit Level
Using the formula for short circuit capacity, divide the total MVA by the per-unit reactance.
MVAscтАЛ=0.220тАЛ=100┬аMVA
D is correct because the short circuit MVA is calculated by dividing the total MVA (20 MVA) by the per-unit reactance (0.2), resulting in 100 MVA.
In power system analysis, remember that adding more parallel generators increases the short circuit level, which directly influences the selection of circuit breaker ratings.