Electrical Calculations
kW to kVA Calculator
Convert real power in kilowatts to apparent power in kilovolt-amperes using power factor.
How to Convert kW to kVA
To convert kilowatts to kilovolt-amperes, divide the real power in kW by the power factor.
The formula is:
kVA = kW ÷ Power Factor
kW represents real electrical power, while kVA represents apparent electrical power. The power factor is needed to determine how much apparent power is required to supply a given amount of real power.
If you need to perform the reverse calculation, use our
kVA to kW Calculator
.
Example: Convert 8 kW to kVA
Suppose an electrical load uses 8 kW of real power and has a power factor of 0.8.
Using the formula:
kVA = 8 ÷ 0.8
kVA = 10
Therefore, 8 kW at a power factor of 0.8 requires 10 kVA of apparent power.
Example: Convert 45 kW to kVA
For a 45 kW load with a power factor of 0.9:
kVA = 45 ÷ 0.9
kVA = 50
Therefore, 45 kW at a power factor of 0.9 is equal to 50 kVA.
kW to kVA Conversion Table
The following table shows common kW-to-kVA conversions at power factors of 0.8, 0.9, and 1.0.
| kW | kVA at PF 0.8 | kVA at PF 0.9 | kVA at PF 1.0 |
|---|---|---|---|
| 1 kW | 1.25 kVA | 1.11 kVA | 1 kVA |
| 2 kW | 2.50 kVA | 2.22 kVA | 2 kVA |
| 5 kW | 6.25 kVA | 5.56 kVA | 5 kVA |
| 10 kW | 12.50 kVA | 11.11 kVA | 10 kVA |
| 20 kW | 25 kVA | 22.22 kVA | 20 kVA |
| 30 kW | 37.50 kVA | 33.33 kVA | 30 kVA |
| 50 kW | 62.50 kVA | 55.56 kVA | 50 kVA |
| 75 kW | 93.75 kVA | 83.33 kVA | 75 kVA |
| 100 kW | 125 kVA | 111.11 kVA | 100 kVA |
| 250 kW | 312.50 kVA | 277.78 kVA | 250 kVA |
| 500 kW | 625 kVA | 555.56 kVA | 500 kVA |
| 1000 kW | 1,250 kVA | 1,111.11 kVA | 1,000 kVA |
The required kVA increases as power factor decreases. Use the calculator above when your real power or power factor is different from the values shown in the table.
What Is kW?
kW stands for kilowatts and is a unit of real electrical power.
Real power is the portion of electrical power that performs useful work such as producing heat, light, motion, cooling, computing, or other usable output.
One kilowatt is equal to 1,000 watts.
What Is kVA?
kVA stands for kilovolt-amperes and is a unit of apparent electrical power.
Apparent power represents the total electrical power supplied to an AC load before the effect of power factor is considered.
UPS systems, generators, transformers, inverters, voltage regulators, and other electrical equipment are commonly rated in kVA.
Why Is Power Factor Required?
Power factor is required because kW and kVA represent different types of electrical power.
kW measures real power, while kVA measures apparent power.
The relationship between them is:
kVA = kW ÷ Power Factor
For the most accurate result, use the actual power factor of the connected equipment or electrical load.
How Does Power Factor Affect kVA?
A lower power factor means more apparent power is required to supply the same amount of real power.
For example, a 100 kW load at a power factor of 1 requires:
100 ÷ 1 = 100 kVA
The same 100 kW load at a power factor of 0.8 requires:
100 ÷ 0.8 = 125 kVA
This means the equipment supplying the load may need a higher kVA capacity when power factor is lower.
Does Single Phase or Three Phase Affect kW to kVA Conversion?
No. Electrical phase does not change the direct conversion from kW to kVA.
For both single-phase and three-phase systems:
kVA = kW ÷ Power Factor
Voltage and phase become necessary when converting kW or kVA into current, but they are not required for a direct kW-to-kVA conversion.
If you need to calculate electrical current from real power, use our
kW to Amps Calculator
.
kW vs kVA
kW and kVA are related but they are not normally the same.
kW represents real power. kVA represents apparent power.
Their relationship is controlled by power factor:
kW = kVA × Power Factor
and:
kVA = kW ÷ Power Factor
When power factor is 1, kW and kVA have the same numerical value.
When power factor is below 1, the kVA value is higher than the kW value.
Common Uses of a kW to kVA Calculator
A kW to kVA calculator can be useful when an electrical load is specified in kilowatts but the equipment supplying it is rated in kVA.
Common applications include UPS systems, generators, transformers, power supplies, inverters, industrial equipment, data centers, commercial electrical systems, motors, and HVAC installations.
The calculation can also help with preliminary comparisons of real power requirements and apparent power capacity.
Frequently Asked Questions
How do I convert kW to kVA?
Divide the real power in kW by the power factor.
kVA = kW ÷ Power Factor
How many kVA is 1 kW?
The answer depends on power factor.
At a power factor of 1, 1 kW equals 1 kVA. At a power factor of 0.8, 1 kW requires 1.25 kVA.
How many kVA is 5 kW at 0.8 power factor?
5 kW at a power factor of 0.8 is equal to 6.25 kVA.
How many kVA is 10 kW at 0.8 power factor?
10 kW at a power factor of 0.8 is equal to 12.5 kVA.
How many kVA is 20 kW at 0.8 power factor?
20 kW at a power factor of 0.8 is equal to 25 kVA.
How many kVA is 50 kW at 0.8 power factor?
50 kW at a power factor of 0.8 is equal to 62.5 kVA.
How many kVA is 100 kW at 0.8 power factor?
100 kW at a power factor of 0.8 is equal to 125 kVA.
How many kVA is 100 kW at 0.9 power factor?
100 kW at a power factor of 0.9 is approximately 111.11 kVA.
How many kVA is 500 kW at 0.8 power factor?
500 kW at a power factor of 0.8 is equal to 625 kVA.
Can kVA be lower than kW?
Under the normal AC power relationship used by this calculator, no. Because power factor cannot exceed 1, apparent power in kVA will be equal to or greater than real power in kW.
Do I need voltage to convert kW to kVA?
No. Voltage is not required for a direct kW-to-kVA conversion.
Do I need to know whether the system is single phase or three phase?
No. Phase does not affect the direct kW-to-kVA formula.
What power factor should I use?
Use the actual power factor of the equipment or electrical load whenever it is available.
Manufacturer documentation, equipment displays, electrical meters, and technical specifications are preferable to assuming a generic power factor.
Can I use this calculator for UPS sizing?
The calculator can help estimate the apparent power associated with a known kW load and power factor.
However, UPS selection should also consider both the manufacturer’s kVA and kW ratings, connected load, runtime requirements, battery capacity, overload capability, redundancy, future expansion, and manufacturer recommendations.
Can I use this calculator for generator sizing?
The calculator can help estimate the apparent power associated with a known real power load.
Generator sizing may also require consideration of motor starting current, nonlinear loads, load steps, harmonics, environmental conditions, future expansion, and manufacturer recommendations.
Related Electrical Calculators
Continue your electrical calculations with these related tools:
Electrical Calculation Disclaimer
This kW to kVA Calculator is provided for informational, educational, and preliminary planning purposes. Calculated values may be rounded.
Actual electrical conditions may vary because of power factor variation, equipment efficiency, harmonics, load characteristics, voltage conditions, operating conditions, and other factors.
Equipment such as UPS systems, generators, transformers, motors, and other electrical devices should be selected using the manufacturer’s actual ratings and specifications.
Electrical installations may also require consideration of conductor ratings, protective devices, equipment specifications, applicable electrical codes, manufacturer requirements, installation conditions, and safety factors.
Consult a qualified electrical professional when making final electrical installation, equipment selection, wiring, conductor sizing, protection, generator sizing, or UPS sizing decisions.
