Page 370 - Basic Electrical Engineering
P. 370
Total admittance, Y = Y + Y + Y 3
2
1
Substituting,
= 0.08 ∠ − 30° + 0.125∠30° + 0.1∠ − 60°
= 0.08 (cos 30° − j sin 30°) + 0.125 (cos 30° + j sin 30°) + 0.1 (cos 60° − j sin
60°)
= (0.227 − j 0.064) mho
= 0.235 ∠ − 14° mho
Impedance,
Total current,
Power factor, cos ϕ = cos 14° = 0.97 lagging
P = VI cos ϕ = 230 × 54.05 × 0.97 = 12058 W = 12.058 kW