⚡ Power Factor Master Lab

Calculator, Visualizer & Economics Learning Tool

1. System Parameters

2. Economic Data

Commonly applied when PF < 0.95

Calculated Compensation

Total Qc Needed 0 kVAR
Capacitance / Phase 0 µF

Estimated Annual Savings

Avoided Penalties €0
Loss Reduction (Est.) €0

📚 Learning the Math

1. Reactive Power (Q): The power that does no work but creates the magnetic fields.

Q = P × tan(arccos(PF))

2. Compensation (Qc): The amount of reactive power the capacitor must provide.

Qc = P × [ tan(φ₁) - tan(φ₂) ]

3. Capacitance (C): Calculating the physical component size.

1φ: C = Qc / (2π f V²)
3φ Delta (Δ): C = Qc / (3 × 2π f V_line²)
3φ Star (Y): C = Qc / (2π f V_line²)

4. Economics: Savings from current reduction ($I^2R$).

% Loss Reduction = 1 - (PF₁ / PF₂)²
Annual Savings = [Avoided kVARh charges] + [Reduced Energy Losses]