Calculate the phase and line currents in a balanced delta connected load taking 75 kW at a power factor of 0.8 from a three phase 440 V supply.

Given data:

 DELTA connection,   Total power consumed, P = × 𝟏𝟎𝟑 𝐖 ,

 Line voltage, V_L = 440 V,

 Power factor, Cos Φ = 0.8

 To find:

 Line current, I_L= ? ,

 Phase current, I_Ph= ?

Solution:

 We have Line current, I_L= P/ √3 V_LCos Φ = 75×10³/ √3 × 440 × 0.8 = 123 A

𝐏𝐡𝐚𝐬𝐞 𝐂𝐮𝐫𝐫𝐞𝐧𝐭,𝐈_𝐏𝐡 = 𝐈_𝐋 /√𝟑 = 𝟏𝟐𝟑/ √𝟑 = 71A