μ-Farad to kVAR Calculator – How to Convert Farads to kVAR?
How to Convert Farad & Microfarad to kVAR? Calculator and Examples
Microfarad to kVAR Calculator
The following microfarad to kVAR conversion calculator will convert the capacitance of a capacitor “C” into reactive power “Q” (i.e. volt amperes reactive or VAR). It will convert the capacitance in microfarads “μF” in Volt-Amp-reactive “VAR”, kilo-volt-amp-reactive “kVAR” and mega-volt-amp “MVAR”.
Both μ-farad and kVAR are terms used in capacitor banks and power factor improvement & correction to eliminate the reactive components from the load side which has multiple advantages.
To calculate the kVAr rating of a capacitor from the capacitor’s microfarad rating, just enter the value of capacitance in microfarad, voltage in volts, frequency in hertz and hit the “Calculate” button to the get the result of capacitor in VAR, kVAR and MVAR. It is the value of the quantity which eliminate the amount of reactive power to correct the power factor.
Farad & μF to kVAR Conversion Formulas & Equations
The SI unit of reactive power “Q” is VAR “Volt-Amp-Reactive”. For higher values, we mostly use kVAR “103” or MVAR “106” etc.
Similarly, The SI unit of capacitor for capacitance is Farad. As it is a big unit and unusual to use it for small capacitors, here comes small units i.e. mF “millifarad = 10-3” and μF “microfarad = 10-6“.
Q in kVAR = (C in μF x Frequency in Hertz x Voltage2 in Volts) ÷ x 159.155 x 106
kVAR = C x f x V2 ÷ (159.155 x 106) … in kVAR
or
Q in kVAR = C in μF x 2π x Frequency in Hertz x Voltage2 in Volts x 10-9)
kVAR = C x 2π x f x V2 x 10-9 … in kVAR
kVAR = C x f x V2 x 6.283 x 10-9 … in kilovolt-amperes-reactive
In Short:
- VAR = C in μF x f x V2 ÷ (159.155 x 103) … in VAR
- kVAR = C in μF x f x V2 ÷ (159.155 x 106) … in kVAR
- MVAR = C in μF x f x V2 ÷ (159.155 x 109) … in MVAR
or
- VAR = C x 2π x f x V2 x 10-6 … VAR
- kVAR = C x 2π x f x V2 x 10-9 … in kVAR
- MVAR = C x 2π x f x V2 x 10-12 … in MVAR
Where:
- kVAR = kilo Volt-ampere-reactive “Q”
- C = Capacitance of a Capacitor in μF
- V = Voltage in volts
- f = Frequency in Hertz
Related Posts:
How to Convert μF & Farad to kVAR?
To convert the capacitor bank Microfarad to VAR, kVAR or MVAR, you must know the value of voltage, kVAR and supply frequency (i.e. 50Hz or 60Hz). Lets see the following solve example which shows how to convert the microfarad into VAR, kVAR and MVAR.
Example:
A 115 μF capacitor is connected across the 240V supply having 60 Hz of frequency for power factor correction. Find the value of capacitor bank in VAR, kVAR and Mega-VAR.
Solution:
Putting the values in the related formulas as follows:
Capacitor Value in VAR:
- kVAR = 115μF x 60Hz x 240V2 ÷ (159.155 x 103)
- VAR = 2497.188 VAR
Capacitor Value in kVAR :
- kVAR = 115μF x 60Hz x 240V2 ÷ (159.155 x 106)
- kVAR = 250 kVAR
Capacitor Value in MVAR:
- kVAR = 115μF x 60Hz x 240V2 ÷ (159.155 x 109)
- MVAR = 0.0025 MVAR
Related Posts:
- How to Convert Capacitor Farads into kVAR & Vice Versa (For PF improvement)
- How to Calculate the Suitable Capacitor Size in Farads & kVAR for PF Improvement
Microfarad to kVAR Conversion Chart
The following table shows the different values of Microfarad “μF” converted to kVAR at 240V and 480V having 50Hz and 60Hz frequency respectively.
| Microfarad “μF” | kVAR | |||
| 240V | 480V | |||
| 50 Hz | 60 Hz | 50 Hz | 60 Hz | |
| 1 | 0.02 | 0.02 | 0.07 | 0.09 |
| 2 | 0.04 | 0.04 | 0.14 | 0.17 |
| 3 | 0.05 | 0.07 | 0.22 | 0.26 |
| 4 | 0.07 | 0.09 | 0.29 | 0.35 |
| 5 | 0.09 | 0.11 | 0.36 | 0.43 |
| 6 | 0.11 | 0.13 | 0.43 | 0.52 |
| 7 | 0.13 | 0.15 | 0.51 | 0.61 |
| 8 | 0.014 | 0.17 | 0.58 | 0.69 |
| 9 | 0.16 | 0.20 | 0.65 | 0.78 |
| 10 | 0.18 | 0.22 | 0.72 | 0.87 |
| 11 | 0.20 | 0.24 | 0.80 | 0.96 |
| 12 | 0.22 | 0.26 | 0.87 | 1.04 |
| 13 | 0.24 | 0.28 | 0.94 | 1.13 |
| 14 | 0.25 | 0.30 | 1.01 | 1.22 |
| 15 | 0.27 | 0.33 | 1.09 | 1.30 |
| 16 | 0.29 | 0.35 | 1.16 | 1.39 |
| 17 | 0.31 | 0.37 | 1.23 | 1.48 |
| 18 | 0.33 | 0.39 | 1.30 | 1.56 |
| 19 | 0.34 | 0.41 | 1.38 | 1.65 |
| 20 | 0.36 | 0.43 | 1.45 | 1.74 |
| 21 | 0.38 | 0.46 | 1.52 | 1.82 |
| 22 | 0.40 | 0.48 | 1.59 | 1.91 |
| 23 | 0.42 | 0.50 | 1.66 | 2.00 |
| 24 | 0.43 | 0.52 | 1.74 | 2.08 |
| 25 | 0.45 | 0.54 | 1.81 | 2.17 |
| 50 | 0.90 | 1.09 | 3.62 | 4.34 |
| 100 | 1.81 | 2.17 | 7.24 | 8.69 |
| 500 | 9.05 | 10.86 | 36.19 | 43.43 |
| 1000 | 18.10 | 21.71 | 72.38 | 86.86 |
Here is the chart in image form if you need to download it for later use.
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