## Amps (A) to kilovolt-amps (kVA) conversion

### Single phase amps to kVA conversion

1 kilovolt-ampere is equal to 1,000 volts-amperes. As such, to convert the apparent power from VA to kVA, you should divide the VA by 1,000. Therefore, the apparent power *S*, in kVA, is calculated by multiplying the RMS voltage, in volts *V* by the phase current *I* and then dividing the result by 1,000.

*S*_{(kVA)} = *I*_{(A)} ×* V*_{(V)} / 100

Therefore;

Kilovolt-amps = volts times the amps divided by 1,000

Kilovolt-amps = amps × volts / 1000

Or

kVA = A × V / 1000

**Example**

Work out the apparent power, given that the RMS voltage is 110V and the phase current is 10A.

*Solution*

*S* = 10A × 110V / 1000 = 1.1kVA

### 3 phase amps to kVA conversion

**Calculation with line to line voltage**

Assuming that all the loads in the system are balanced, the apparent power *S *in kilovolt-amps is calculated by multiplying the phase current *I*, in amps (A) multiplied by the line in line RMS voltage, in volts *V*_{L-L} (V) multiplied by the square root of 3 and then dividing the result by 1,000.

*S*_{(kVA)} = *√*3 × *I*_{(A)} ×* V*_{L-L(V)} / 1000

Therefore;

Kilovolt-amps is equals to the square root of 3 times the volts times the amps divided by 1,000

Kilovolt-amps = *√*3 × amps × volts / 1000

Or

kVA = *√*3 × A × V / 1000

**Example **

Given that the line in line RMS voltage across an electrical circuit is 110V and the phase current is 10A, calculate the apparent power, in kVA.

*Solution*

*S* = *√*3 × 10A × 110V / 1000 = 1.905kVA

**Conversion with line to neutral voltage**

Again, the assumption here will be that all the loads in the system are balanced. As such, the apparent poser *S*, in kVA is calculated by multiplying the line to neutral RMS *V*_{L-N} voltage, in volts (V) by the phase current *I,* in amps (A), multiplied by 3 and the dividing the result by 1,000.

*S*_{(kVA)} = 3 × *I*_{(A)} ×* V*_{L-N(V)} / 1000

Therefore:

kVA is equal to 3 times the volts times amps divided by 1,000.

Kilovolt-amps = 3 × amps × volts / 1000

Or

kVA = 3 × A × V / 1000

**Example**

What is the apparent current in kVA in an electrical circuit, whereby the line to neutral RMS voltage is 110V and the phase current is 11A?

*Solution*

*S* = 3 × 10A × 110V / 1000 = 3.3kVA