A three phase circuit breaker is rated 2000 MVA 33 kV. What will be the making current?

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WBPSC JE Electrical 2018 (Held on 18th Feb 2018) Official Paper
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  1. 35 kA
  2. 49 kA
  3. 70 kA
  4. 89 kA

Answer (Detailed Solution Below)

Option 4 : 89 kA
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Detailed Solution

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Breaking capacity of a circuit breaker

The rated breaking capacity is defined as the maximum fault current a circuit breaker can successfully interrupt without being damaged.

It is always expressed in KVA and the current corresponding to breaking capacity is known as the breaking current.

The breaking current is given by:

\(I_b={MVA\over \sqrt{3}\times V_{L}}\)

where, Ib = Breaking current

MVA = Breaking capacity

VL = Line-to-line voltage

The relationship between making and breaking current is:

\(I_m=2.55\times I_b\)

where, Im = Making current

Ib = Breaking current

Calculation

Given, Breaking capacity = 2000 MVA

VL = 33 kV

\(I_b={2000\space \times 10^6\over \sqrt{3}\times 33\times 10^3}\)

Ib = 34.9 kA

The making current is given by:

\(I_m=2.55\times 34.9\)

Im = 89 kA

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