Question

A balanced 3 phase star connected load consists of three coils each consisting of R=6Ω and 𝑿𝑳= 8Ω . Determine the line current , power factor when the load is connected across 400V, 50Hz, supply

Answer 1

R= 6Ω 𝑋𝐿 = 8Ω V=400V f=50Hz
1) Power factor
`overline(Z_(ph))`= 𝑅 + 𝑗𝑋𝐿 = 6 + j8 = 10∠53.13°
`overline(Z_(ph))` = 10Ω
𝜑 = 53.13°
Pf = cos 𝜑 = cos(53.13) = 0.600
Power factor = 0.600
2) Line current.

`V_(ph)=(V_L)/sqrt3=400/sqrt3=230.94V`

`I_(ph)=(V_(ph))/(Z_(ph))=(230.94)/10=23.094A`

`I_L=I_(ph)=23.09A`