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ElectricalPower System
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A transformer rated for 500 KVA, 1 KV/0.4 KV has an impedance of 10% and is connected to an infinite bus ┬╖ The fault level of the transformer is

A

500 KVA

B

5000 KVA

C

3├Ч500┬аKVA\sqrt{3} \times 500 \text{ KVA}3тАЛ├Ч500┬аKVA

D

None of the above

Correct Answer

тЪЩя╕П TE тАв Technical Direct FormulaElectricalPower System
Option B

5000 KVA

Quick Summary:

Given: Transformer rating S = 500 KVA, Per-unit Impedance ZpuZ_{pu}ZpuтАЛ = 10% = 0.1, Infinite bus supply

ЁЯУРMAMath SolutionDirect Formula
ЁЯУЛ Given

Transformer rating S = 500 KVA, Per-unit Impedance ZpuZ_{pu}ZpuтАЛ = 10% = 0.1, Infinite bus supply

ЁЯФв Formula Used

Fault┬аLevel=Rated┬аSZpuFault\ Level = \frac{Rated\ S}{Z_{pu}}Fault┬аLevel=ZpuтАЛRated┬аSтАЛ

ЁЯФв Step-by-Step Solution
1

Identify the Given Parameters

The transformer capacity is Srated=500┬аKVAS_{rated} = 500 \text{ KVA}SratedтАЛ=500┬аKVA and the percentage impedance is given as Z%=10%Z\% = 10\%Z%=10%.

Zpu=10100=0.1Z_{pu} = \frac{10}{100} = 0.1ZpuтАЛ=10010тАЛ=0.1

2

Apply Fault Level Formula

When a transformer is connected to an infinite bus, the short circuit MVA (or KVA) is determined by its own impedance as the supply impedance is negligible.

Fault┬аLevel=SratedZpuFault\ Level = \frac{S_{rated}}{Z_{pu}}Fault┬аLevel=ZpuтАЛSratedтАЛтАЛ

3

Calculate the Result

Substitute the values Srated=500┬аKVAS_{rated} = 500 \text{ KVA}SratedтАЛ=500┬аKVA and Zpu=0.1Z_{pu} = 0.1ZpuтАЛ=0.1 into the formula to find the fault level.

Fault┬аLevel=5000.1=5000┬аKVAFault\ Level = \frac{500}{0.1} = 5000 \text{ KVA}Fault┬аLevel=0.1500тАЛ=5000┬аKVA

тЬЕ

B is correct because the fault level is calculated by dividing the rated KVA by the per-unit impedance, resulting in 5000 KVA.

Core Concepts Used
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Transformer Impedance Symmetrical Fault Analysis Per-unit System
ЁЯТб EXAM TIP

The concept of Short Circuit MVA (or KVA) is vital for selecting circuit breakers; a higher impedance limits the fault current, effectively reducing the fault level.

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