Three-Phase Power Triangle Calculator (kW, kVA, kVAR)
Commercial plant power quality analysis, avoiding utility reactive power penalties. Solves the complete AC Power Triangle: Real Active Power (kW), Apparent Power (kVA), Reactive Power (kVAR), and Power Factor (cos φ).
Step-by-Step Derivation ▼ Show Steps
Calculations adhere to standard electrical engineering physics and National Electrical Code (NFPA 70) regulations.
Engineering Principles & Calculations
This calculator uses the exact mathematical relationships between Line-to-Line Voltage (V), Line Current (A), Power Factor (or phase angle θ) to determine Active Power (kW), Apparent Power (kVA), Reactive Power (kVAR), Power Factor. In practical installations, factors such as ambient raceway temperature, harmonic distortion, duty cycle continuous operation, and conductor impedance must be accounted for by a certified electrician.
Solves the complete AC Power Triangle: Real Active Power (kW), Apparent Power (kVA), Reactive Power (kVAR), and Power Factor (cos φ).
Typical Application & Industry Guidelines
Commercial plant power quality analysis, avoiding utility reactive power penalties.
Three-Phase Power Triangle Calculator (kW, kVA, kVAR) Benchmark Lookup Table
| Line Current @ 480V 3-Phase | Apparent (kVA) | Real (kW @ 0.85 PF) | Reactive (kVAR) |
|---|---|---|---|
| 10 Amps | 8.3 kVA | 7.1 kW | 4.4 kVAR |
| 25 Amps | 20.8 kVA | 17.7 kW | 10.9 kVAR |
| 50 Amps | 41.6 kVA | 35.3 kW | 21.9 kVAR |
| 100 Amps | 83.1 kVA | 70.7 kW | 43.8 kVAR |
| 200 Amps | 166.3 kVA | 141.3 kW | 87.6 kVAR |