VAr/μF conversion
Description
A tool for converting between reactive power (VAR) and capacitance (μF) of a capacitor, supporting single-phase and three-phase systems.
This calculator helps users compute the reactive power (VAR) provided by a capacitor based on its voltage, frequency, and capacitance, or vice versa. Useful for power factor correction and capacitor sizing in electrical systems.
Core Formulas
Single-phase:
Q (VAR) = 2π × f × C (μF) × V² × 10⁻⁶
Three-phase:
Q (VAR) = 3 × 2π × f × C (μF) × V² × 10⁻⁶
Q (VAR) = 2π × f × C (μF) × V² × 10⁻⁶
Three-phase:
Q (VAR) = 3 × 2π × f × C (μF) × V² × 10⁻⁶
Parameters
| Parameter | Description |
|---|---|
| Power (Reactive Power) | Reactive power supplied by the capacitor, unit: VAR. Input to calculate capacitance (μF). |
| Voltage | - Single-phase: Phase-Neutral voltage - Two-phase or three-phase: Phase-Phase voltage Unit: Volts (V) |
| Frequency | Number of cycles per second, unit: Hz. Common values: 50 Hz or 60 Hz. |
Example Calculation
Single-phase system:
Voltage V = 230 V
Frequency f = 50 Hz
Capacitance C = 40 μF
Then reactive power:
Q = 2π × 50 × 40 × (230)² × 10⁻⁶ ≈ 6.78 kVAR
Reverse calculation:
If Q = 6.78 kVAR, then C ≈ 40 μF
Voltage V = 230 V
Frequency f = 50 Hz
Capacitance C = 40 μF
Then reactive power:
Q = 2π × 50 × 40 × (230)² × 10⁻⁶ ≈ 6.78 kVAR
Reverse calculation:
If Q = 6.78 kVAR, then C ≈ 40 μF
Use Cases
- Power factor correction in electrical systems
- Capacitor sizing and capacity calculation
- Industrial electrical system commissioning
- Academic learning and exams
Give a tip and encourage the author!
Recommended
