kVAR to Farad Calculator
Settle power quality requirements by converting kilovolt-ampere reactive (kVAR) to equivalent capacitor ratings in Farads and Microfarads.
kVAR to Farad Converter
How to Use the kVAR to Farad Calculator
Converting reactive power to capacitance is straightforward. Follow these steps to size your capacitor banks:
- 1Enter Reactive Power: Input the target reactive power rating in kilovolt-ampere reactive (kVAR).
- 2Enter System Voltage: Input the line-to-line AC voltage (V) of the circuit.
- 3Enter Frequency: Input the AC electrical grid frequency (typically 50Hz or 60Hz).
- 4Click Calculate: Click "Calculate to Farad" to view the resulting capacitance in Farads (F) and Microfarads (μF).
How to Calculate kVAR to Farads
Capacitance in Farads defines the ability of a capacitor to store electric charge. In electrical power distribution systems, engineers compute required capacitance values from power quality reports specifying inductive reactive loads in kVAR. Sizing and installing capacitors of this capacity counteracts inductive load currents, improving the power factor.
Real-Life Sizing Scenarios
Scenario 1: Sizing a Commercial Capacitor Bank
A commercial building has an inductive load requiring 25 kVAR of capacitive correction at a system voltage of 400V and a grid frequency of 50Hz. Sizing the correction capacitance loop:
Q = 25 kVAR = 25,000 VAR
C = Q ÷ (2 × π × f × V²) = 25000 ÷ (2 × 3.14159 × 50 × 400²) = 25000 ÷ 50,265,482 ≈ 0.00049736 F (or 497.36 μF).
Scenario 2: Sizing an Industrial Sump Pump Capacitor
An industrial plant requires a power factor correction capacitor of 100 kVAR connected to a 480V, 60Hz motor circuit. Sizing the required capacitor rating:
Q = 100 kVAR = 100,000 VAR
C = Q ÷ (2 × π × f × V²) = 100000 ÷ (2 × 3.14159 × 60 × 480²) = 100000 ÷ 86,858,753 ≈ 0.0011513 F (or 1,151.30 μF).
Step-by-Step Manual Sizing Guide
- 1Convert kVAR to VAR: Multiply the reactive power rating (kVAR) by 1,000:
VAR = kVAR × 1000. - 2Obtain System Voltage and Frequency: Settle the system RMS line voltage (V) and grid frequency (f) in Hertz.
- 3Calculate Denominator: Multiply 2, pi (3.14159), frequency, and the square of the voltage:
Denominator = 2 × π × f × V². - 4Complete Division: Divide the VAR value by the denominator to obtain capacitance in Farads:
C = VAR ÷ Denominator.
kVAR to Farad Conversion Table
The table below provides capacitive sizing ratings calculated for a system voltage of 400V at 50Hz:
| Reactive Power (kVAR) | Equivalent Capacitance (Farads) | Equivalent Capacitance (μF) |
|---|---|---|
| 1 kVAR | 0.00001989 F | 19.89 μF |
| 5 kVAR | 0.00009947 F | 99.47 μF |
| 10 kVAR | 0.00019894 F | 198.94 μF |
| 15 kVAR | 0.00029842 F | 298.42 μF |
| 20 kVAR | 0.00039789 F | 397.89 μF |
| 25 kVAR | 0.00049736 F | 497.36 μF |
| 50 kVAR | 0.00099472 F | 994.72 μF |
| 100 kVAR | 0.00198944 F | 1,989.44 μF |
25 kVAR to Farad
Converting a standard commercial 25 kVAR capacitor rating to Farads depends on the system voltage and frequency. Sizing at a typical utility standard of 400V and 50Hz, a 25 kVAR rating requires a capacitance of 0.00049736 Farads (equivalent to 497.36 Microfarads). Sizing at 480V and 60Hz, it requires 0.00028782 Farads (equivalent to 287.82 Microfarads).
1 kVAR to Farad
Converting a unit value of 1 kVAR to Farads is useful for establishing a scaling baseline. Sizing at a standard European rating of 400V at 50Hz, 1 kVAR requires 0.00001989 Farads (or 19.89 Microfarads). Sizing at a standard North American rating of 480V at 60Hz, 1 kVAR requires 0.00001151 Farads (or 11.51 Microfarads).
Frequently Asked Questions (FAQs)
To convert manually, multiply the kVAR value by 1,000 to get VAR, then divide that result by the product of 2, pi, the system frequency (Hz), and the system voltage squared: C = (kVAR × 1000) ÷ (2 × π × f × V²).
1 kVAR is equal to 1,000 Volt-Amperes Reactive. It measures the reactive power flowing in an electrical circuit, which is the power that oscillates between source and load without performing physical work.
For a physical capacitor, the reactive power formula is: kVAR = (2 × π × f × C × V²) ÷ 1000. For a balanced three-phase system, reactive power is: kVAR = (√3 × Voltage × Current × sin(θ)) ÷ 1000.
50 kVAR represents 50,000 Volt-Amperes Reactive of power capacity. It indicates a reactive power rating commonly used to size capacitor banks for power factor correction in mid-sized commercial and industrial systems.
The physical capacity in Farads depends on voltage and frequency. For example, at a standard industrial configuration of 480V and 60Hz, a 20 kVAR capacitor provides exactly 230.10 Microfarads (0.00023010 F) of capacitance.
kVAR stands for Kilovolt-Ampere Reactive. It is the international standard unit of measurement for reactive power in alternating current (AC) power transmission and distribution networks.
Converting a reactive power rating into Farad requires applying the capacitance loop equation. Divide the total reactive power in VAR by the product of angular frequency (2 × π × f) and the squared root-mean-square system voltage (V²).
25 kVAR is a capacity rating equal to 25,000 Volt-Amperes Reactive, commonly used to size standard capacitor steps in automatic power factor correction (APFC) panels to compensate for motor inductance.