Power Systems calculator
Power Factor Triangle Calculator
Visualize and calculate the power triangle relationship between Real Power (kW), Reactive Power (kVAR), and Apparent Power (kVA). Enter any two known values to find all power components, phase angle, and capacitor sizing for power factor correction.
Updated June 21, 2026
Example Calculations
100 kW at 0.85 PF
Typical industrial load analysis with correction to 0.95.
- Calculation Mode: kW and power factor
- Real Power: 100
- Power Factor: 0.85
- Target Power Factor: 0.95
How to Use
Quick Answer
What is the power triangle formula?
S² = P² + Q² where:
- P = Real Power (kW) - does actual work
- Q = Reactive Power (kVAR) - sustains magnetic fields
- S = Apparent Power (kVA) - total from source
Power Factor = P ÷ S = cos(θ)
| Power Factor | Rating | Action |
|---|---|---|
| ≥ 0.95 | Excellent | No correction needed |
| 0.90 - 0.94 | Good | Consider correction for savings |
| 0.80 - 0.89 | Fair | Correction recommended |
| < 0.80 | Poor | Correction required, likely penalties |
Power Triangle Relationships
From kW and Power Factor:
kVA = kW ÷ PF
kVAR = √(kVA² - kW²)
Example: 100 kW at 0.85 PF → 117.6 kVA, 61.9 kVAR
From kW and kVAR:
kVA = √(kW² + kVAR²)
PF = kW ÷ kVA
Power Factor Correction Formula:
kVAR needed = kW × (tan θ₁ - tan θ₂)
Where θ₁ = current angle, θ₂ = target angle
For detailed PF correction, use the Power Factor Correction Calculator. For penalty analysis, see Power Factor Penalty Calculator.
Common Applications
Load Analysis - Determine actual vs apparent power for billing
Transformer Sizing - Size transformers based on kVA demand
Capacitor Selection - Calculate capacitor bank for PF correction
Motor Analysis - Understand motor power consumption
Utility Billing - Verify demand charges and penalties
Frequently Asked Questions
What is the difference between kW, kVA, and kVAR?
Why is a low power factor bad?
How do I improve power factor?
What causes low power factor?
How does power factor affect transformer sizing?
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