System Parameters
Lagging (Inductive)FairLeading (Capacitive)
Power Triangle Results
Real Power (P)
16.78 kW
Reactive Power (Q)
10.40 kVAR
Apparent Power (S)
19.75 kVA
Power Factor
0.850
System Details
Line-to-Line Voltage:380 V
Line-to-Neutral:219.4 V
Line Current:30 A
Phase Current:30 A
Calculation Steps
1. Configuration: WYE
2. Line-to-Line Voltage (VLL): 380 V
3. Line-to-Neutral Voltage (VLN): 380 / √3 = 219.39 V
4. Line Current (IL): 30 A
5. Phase Current (Iph): 30 A (same as line current in Wye)
6. Apparent Power (S): S = √3 × VLL × IL
7. S = 1.732 × 380 × 30 = 19745.38 VA
8. Real Power (P): P = S × cosφ
9. P = 19745.38 × 0.85 = 16783.57 W
10. Reactive Power (Q): Q = S × sinφ
11. Q = 19745.38 × 0.527 = 10401.52 VAR
12. Power Triangle: S² = P² + Q²
13. Verification: √(16783.57² + 10401.52²) = 19745.38 VA ✓
Three-Phase Power Formulas
S = √3 × VLL × IL
P = S × cosφ
Q = S × sinφ
Configuration:
Wye: VLN = VLL / √3, IL = IPh
Delta: VLL = VPh, IL = √3 × IPh