Amp to kW single phase
Convert current to real power on a single-phase AC supply and see how the power factor shifts current away from voltage.
Inputs
Voltage, current and instantaneous power
How amp to kW single phase calculator works
The amp to kW single phase calculator converts current into real power in kilowatts (kW) on a single-phase alternating current (AC) supply with 3 inputs: current, voltage and power factor. The calculator returns real power, apparent power in kilovolt-amperes (kVA), reactive power in kilovolt-amperes reactive (kVAR) and watts.
P = I × V × PF / 100016 A at 230 V and PF 0.9 gives 3.312 kW, 3.68 kVA and 1.6 kVAR. The waveform shades the instantaneous power above and below zero.
Amp to kW single phase formula
The amp to kW single phase formula is P(kW) = I(A) × V(V) × PF / 1,000. There are 3 single-phase power formulas: real power, apparent power and reactive power.
Real power
P(kW) = I × V × PF / 100016 A × 230 V × 0.9 / 1,000 = 3.312 kW
Apparent power
S(kVA) = I × V / 100016 A × 230 V / 1,000 = 3.68 kVA
Reactive power
Q(kVAR) = √(S² − P²)√(3.68² − 3.312²) = 1.6 kVAR
Power factor (PF) values fall into 4 groups: 1 for heaters, kettles and incandescent lamps, 0.95–0.99 for electronics with power factor correction, 0.8–0.9 for loaded induction motors and 0.5–0.7 for lightly loaded motors.
Amp to kW single phase conversion chart
The amp to kW single phase conversion chart lists 13 currents from 1 A to 63 A at 120 V, 230 V and 240 V, plus 230 V columns at power factor 0.9 and 0.8.
| Amps | 120 VPF 1 | 230 VPF 1 | 240 VPF 1 | 230 VPF 0.9 | 230 VPF 0.8 |
|---|---|---|---|---|---|
| 1 A | 0.12 | 0.23 | 0.24 | 0.21 | 0.18 |
| 5 A | 0.6 | 1.15 | 1.2 | 1.04 | 0.92 |
| 10 A | 1.2 | 2.3 | 2.4 | 2.07 | 1.84 |
| 13 A | 1.56 | 2.99 | 3.12 | 2.69 | 2.39 |
| 15 A | 1.8 | 3.45 | 3.6 | 3.11 | 2.76 |
| 16 A | 1.92 | 3.68 | 3.84 | 3.31 | 2.94 |
| 20 A | 2.4 | 4.6 | 4.8 | 4.14 | 3.68 |
| 25 A | 3 | 5.75 | 6 | 5.18 | 4.6 |
| 30 A | 3.6 | 6.9 | 7.2 | 6.21 | 5.52 |
| 32 A | 3.84 | 7.36 | 7.68 | 6.62 | 5.89 |
| 40 A | 4.8 | 9.2 | 9.6 | 8.28 | 7.36 |
| 50 A | 6 | 11.5 | 12 | 10.35 | 9.2 |
| 63 A | 7.56 | 14.49 | 15.12 | 13.04 | 11.59 |
A 63 A single-phase supply delivers 14.49 kW at 230 V and 15.12 kW at 240 V, at a power factor of 1.
Amp to kW single phase Excel formula
The amp to kW single phase Excel formula is =A2*B2*C2/1000 with amps in A2, volts in B2 and power factor in C2.
| A | B | C | D | E | |
|---|---|---|---|---|---|
| 1 | Amps | Volts | PF | kW | Formula in D |
| 2 | 16 | 230 | 0.9 | 3.31 | =ROUND(A2*B2*C2/1000,2) |
| 3 | 32 | 240 | 1 | 7.68 | =ROUND(A3*B3*C3/1000,2) |
| 4 | 15 | 120 | 0.8 | 1.44 | =ROUND(A4*B4*C4/1000,2) |
Add =A2*B2/1000 in column E for kVA and =SQRT(E2^2-D2^2) in column F for kVAR.
Amp to kW single phase equation
The amp to kW single phase equation is P = Vrms × Irms × cos φ, where φ is the angle between the voltage and current waves.
- P
- Real power in kilowatts (kW)
- I
- Current in amperes (A), RMS
- V
- Voltage in volts (V), RMS
- PF
- Power factor, cos φ, from 0 to 1
Root mean square (RMS) values are the values a multimeter or a clamp meter shows. A 230 V RMS supply peaks at 325.3 V (230 × √2).
Amp to kW single phase FAQ
How many kW is 16 amps single phase?
16 amps single phase is 3.68 kW at 230 V, 3.84 kW at 240 V and 1.92 kW at 120 V, at a power factor of 1.
How many kW is 32 amps single phase?
32 amps single phase is 7.36 kW at 230 V and 7.68 kW at 240 V, at a power factor of 1.
What power factor should I use for single phase?
Use 1 for heaters and kettles, 0.95 for electronics with power factor correction and 0.75–0.85 for single-phase motors. The nameplate power factor gives the most accurate result.
How many kW can a 100 amp single phase supply carry?
A 100 amp single phase supply carries 23 kW at 230 V and 24 kW at 240 V, at a power factor of 1.