A 5 kVA single-phase transformer has a turn ratio of 10:1 and is fed from 2.5kV supply.
Neglecting the losses, determine:
a. The full load secondary current
b. The minimum load resistance which can be connected across the secondary winding
to give full load kVA
c. The primary current at full load kVA
Answers
Given : A 5 kVA single-phase transformer has a turn ratio of 10:1 and is fed from 2.5kV supply.
Neglect the losses,
To Find :
a. The full load secondary current
b. The minimum load resistance which can be connected across the secondary winding to give full load kVA
c. The primary current at full load kVA
Solution:
A 5 kVA single-phase transformer has a turn ratio of 10:1
fed from 2.5kV supply.
Primary Voltage = 2.5 kV
Primary current = 5 kVA/ 2.5 kV = 2 A
The primary current at full load kVA = 2A
N₁ / N₂ = V₁ / V₂ = I₂ / I₁
N₁ = Primary turn
N₂ = secondary turn
V₁ = Primary voltage
V₂ = secondary voltage
I₁ = Primary current
I₂ = Secondary current
turn ratio of 10:1
N₁ / N₂ = 10/1 = 10
V₁ / V₂ = 10 => V₂ = V₁/10
=> Secondary voltage V₂ = 2.5 kV/10 = 2.5 * 1000 / 10 = 250 V
I₂ = 10I₁
Secondary current = 2 * 10 = 20 A
The full load secondary current = 20A
minimum load resistance which can be connected across the secondary winding to give full load kVA = V₂ / I₂ = 250 / 20 = 12.5 Ω
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