For installation with a 25-kVA, 3-phase transformer, a 440-volt primary, and a 120-volt secondary. Calculate the maximum overcurrent protection value (not the fuse or circuit breaker rating) using the protection method for primary-only protection. (Round the FINAL answer to two decimal places.)

Respuesta :

Answer:

41.053 A

Explanation:

given,

three phase kVA = 25-kVA

voltage = 440 Volt

current = ?

To determine three phase kVA when volts and amperes are know

   three phase kVA = 1.73 x V x I

    [tex]I = \dfrac{three\ phase\ kVA}{1.73 \times V}[/tex]

    [tex]I = \dfrac{25000}{1.73 \times 440}[/tex]

           I = 32.84 A

the maximum overcurrent protection value is equal to

            = 125 % of I

            = 1.25 x 32.84

            = 41.053 A

Maximum overcurrent protection(MOP) is the maximum circuit breaker size required to protect the equipment. The maximum overcurrent protection is 41.053 A.

What is the maximum overcurrent protection (MOP)?

The maximum circuit breaker size required to properly protect the equipment under uncertain fault conditions is known as the maximum overcurrent protection (MOP).

We know that for a three-phase transformer the current can be written as,

[tex]I =\dfrac{\rm 3-phase\ kV\ A}{1.73 \times V}\\\\ I = \dfrac{25000}{1.73 \times 440}\\\\I = 32.84\rm\ A[/tex]

Now, the maximum overcurrent protection value is 25% above the current, therefore, the maximum overcurrent protection can be written as,

[tex]I_{Max} = 125\% \ of \ I[/tex]

        [tex]= 1.25 \times 32.84\\\\=41.053\rm\ A[/tex]

Hence, the maximum overcurrent protection is 41.053 A.

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