How Many Amps Is 13.78 kW at 460V?

13.78 kW at 460V draws about 20.35 amps on an AC three-phase circuit at PF 0.85, typical for commercial HVAC, industrial motors, rooftop units, and three-phase panel loads. Actual current varies with equipment power factor and duty cycle.

13.78 kW at 460V, AC three-phase (PF 0.85)
20.35 Amps
13.78 kilowatts at 460V on AC three-phase ≈ 20.35 amps
AC Single Phase (PF 0.85)35.24 A
DC (ideal baseline)29.96 A
20.35

Formulas

DC: kW to Amps

I(A) = 1000 × P(kW) ÷ V(V)

1000 × 13.78 ÷ 460 = 13,780 ÷ 460 = 29.96 A

AC Single Phase (PF = 0.85)

I(A) = 1000 × P(kW) ÷ (PF × V(V))

13,780 ÷ (0.85 × 460) = 13,780 ÷ 391 = 35.24 A

AC Three Phase (PF = 0.85)

I(A) = 1000 × P(kW) ÷ (√3 × PF × VL-L), where VL-L is the line-to-line voltage

13,780 ÷ (1.732 × 0.85 × 460) = 13,780 ÷ 677.21 = 20.35 A

Equipment & Circuit Sizing

Breaker Sizing

Breaker ratings are in amps, not watts, so the real install answer depends on the equipment nameplate FLA, whether the load is continuous (NEC 210.19(A) sizes the conductor and OCP at 125% of a continuous load, equivalently 80% of breaker rating), conductor ampacity and temperature rating, ambient and bundling derates, and any motor or HVAC provisions (NEC 430 / 440). At roughly 20.35A on AC three-phase at 460V, the load sits in the bracket between a 25A standard size (non-continuous) and the next size up that covers a continuous load under 210.19(A) (around 30A). The actual install pick depends on whether the load is continuous and the factors above; a conversion page can't pick a single "right" breaker from the amp draw alone.

Energy Cost

13.78 kW costs $2.34/hour at $0.17/kWh (rates last reviewed April 2026). See breakdown.

Power Factor Reference (AC three-phase)

How the line current for 13.78 kW at 460V changes with load power factor, on the same AC three-phase circuit basis the rest of the page uses. DC has no power factor; PF 1.0 represents resistive AC loads.

Load TypePF13.78 kW at 460V (AC three-phase)
Resistive (heaters, incandescent)117.3 A
Fluorescent lamps0.9518.21 A
LED lighting0.919.22 A
Synchronous motors0.919.22 A
Typical mixed loads0.8520.35 A
Induction motors (full load)0.821.62 A
Computers (without PFC)0.6526.61 A
Induction motors (no load)0.3549.42 A

AC Conversion Comparison

On DC, 13.78kW at 460V draws 29.96A. AC single-phase at PF 0.85 pulls 35.24A because reactive current is added on top of the real power. Three-phase at the same voltage needs only 20.35A per line since the same 13.78kW is shared across three conductors instead of one.

Circuit TypeFormulaResult
DC13,780 ÷ 46029.96 A
AC Single Phase (PF 0.85)13,780 ÷ (0.85 × 460)35.24 A
AC Three Phase (PF 0.85)13,780 ÷ (1.732 × 0.85 × 460)20.35 A

Other kW Values at 460V

kWAC 3-Phase per line, PF 0.85AC 1-Phase PF 0.85
2.5 kW3.69 A6.39 A
3 kW4.43 A7.67 A
3.5 kW5.17 A8.95 A
4 kW5.91 A10.23 A
5 kW7.38 A12.79 A
6 kW8.86 A15.35 A
7.5 kW11.07 A19.18 A
8 kW11.81 A20.46 A
10 kW14.77 A25.58 A
12 kW17.72 A30.69 A
15 kW22.15 A38.36 A
18 kW26.58 A46.04 A
20 kW29.53 A51.15 A
22 kW32.49 A56.27 A
25 kW36.91 A63.94 A

Frequently Asked Questions

13.78 kW at 460V draws about 20.35 amps on an AC three-phase circuit at PF 0.85. Alternate cases at the same voltage: 29.96A on DC, 35.24A on AC single-phase.
13.78 kW costs $2.34 per hour at $0.17/kWh (US residential average, last reviewed April 2026). At 8 hours/day that is $562.22 per month.
460V is commercial/industrial panel voltage, not a typical AC EVSE feed to a vehicle. On three-phase 460V, 13.78 kW works out to about 20.35A per line (three-phase at PF 0.85). In practice, 400-480V three-phase is usually the AC input to a DC fast charger (50-350 kW CCS/NACS stations like Tesla Superchargers), which rectifies to DC and delivers that directly to the vehicle, rather than an AC EVSE connector. A 13.78 kW figure at 460V is most likely the AC feed to a smaller commercial cabinet or the control-side input of a larger DC fast charger, not an at-the-car AC current.
This is a sizing question, not a conversion question, and there is no single correct answer from a page like this. Breaker selection depends on the equipment nameplate FLA, whether the load is continuous (NEC 210.19(A) applies the 125% continuous-load rule), the conductor ampacity and temperature rating, any NEC 430/440 motor or HVAC provisions, and local code interpretation. Use the nameplate and a licensed electrician for the real install value; use this page only for the current-draw estimate that feeds into that process.
13.78 kW is available in both, but three-phase is more common for commercial HVAC, rooftop units, and motors once you reach this range.
This calculator provides estimates for reference purposes only. Always consult a licensed electrician and verify compliance with the National Electrical Code (NEC) and local electrical codes before performing any electrical work.