3 Phase Power Calculator
Instant 3 phase power calculator for balanced electrical calculations—kW, kVA, and line amps from line V, line A, and PF (√3). Covers AC motor and feeder screening; for transformer kVA nameplate sizing use the kVA transformer calculator. Advanced inrush, harmonics, and unbalance still need field measurements.
Quick answer: kW to amps (3-phase)
1 kW at 400 V line-to-line ≈ 1.44 A at PF 1.0, or 1.70 A at PF 0.85. Formula: I = (kW × 1000) ÷ (√3 × V × PF). At 480 V, 1 kW ≈ 1.20 A (PF 1.0) or 1.42 A (PF 0.85).
Open 1 kW @ 400 V preset kW → amps table
Starting from kVA (apparent power) instead of kW? Use kVA to amps—do not mix kW and kVA on the same step.
Learn before calculating
Three-phase kW and kVA depend on power factor. For PF meaning, correction, and utility context, start with the Power Systems authority guide.
Input Parameters
Quick Examples:
About this calculator
Converts balanced three-phase voltage, line current, and PF into real and apparent power for motor lines and feeders. New to 3φ? Start with 3-phase power explained, then use 3-phase power formula & examples before checking live values here; for PLN Indonesia connected-power steps (VA ↔ MCB), see tabel daya listrik PLN 3 phase; for the rest of the kW/kVA/current chain, use the power calculators hub.
If you start from kW or kVA without line current, use kW to kVA first, then kVA to amps for balanced line A; use factory load when sizing from device counts. After you have design amps, screen cable size (ampacity + installation derating on your tables) and voltage drop on long feeders; breaker size ties to continuous vs non-continuous duty per NEC or IEC 60364 practices.
Calculation Results
Balanced three-phase, steady-state line current; does not replace motor inrush, harmonic, or unbalance studies.
Continue Your Calculation
After kW and kVA, calculate balanced line current in the kVA to Amps Calculator (link updates from your inputs).
Engineering disclaimer
This calculator provides preliminary power calculations only. The motor FLA / breaker table below is illustrative—always use manufacturer nameplate FLA/LRA and IEC 60034 / NEC 430 family rules for thermal and short-circuit protection, selective coordination, and fault levels. For final electrical system design, equipment sizing, and compliance with local electrical codes, consult a licensed electrical engineer or certified professional. Actual requirements may vary based on detailed load analysis, harmonics, motor starting currents, and specific application requirements.
Balanced 3φ power — quick √3 reference
Illustrative kW at PF 0.85 from kW = √3 × VL-L × I × PF ÷ 1000 (line quantities). Use the calculator above for your exact V, I, and PF.
| VL-L | Line I (A) | Approx. kW @ PF 0.85 |
|---|---|---|
| 400 | 10 | 5.9 |
| 400 | 50 | 29.4 |
| 480 | 100 | 70.7 |
kW to amps (3-phase) — quick reference @ PF 0.85 and PF 1.0
I (A) = (kW × 1000) ÷ (√3 × VL-L × PF). Covers 1 kw to amps in 3 phase, 10 kw to amps 3 phase, and similar lookups. Use measured PF when commissioning.
| kW | VL-L | PF | Approx. line I (A) | Open |
|---|---|---|---|---|
| 1 | 400 | 1.0 | 1.44 | Preset |
| 1 | 400 | 0.85 | 1.70 | Preset |
| 5 | 400 | 0.85 | 8.49 | Preset |
| 10 | 400 | 0.85 | 17.0 | Preset |
| 15 | 400 | 0.85 | 25.5 | Preset |
| 25 | 400 | 0.85 | 42.5 | Preset |
| 1 | 480 | 1.0 | 1.20 | Preset |
| 10 | 480 | 0.85 | 14.2 | Preset |
Reverse: kW → line current @ PF 0.85 (selected)
Legacy two-column view for common motor-line checks.
| kW | VL-L | Approx. line I (A) @ PF 0.85 |
|---|---|---|
| 10 | 400 | 17 |
| 37 | 400 | 63 |
| 50 | 480 | 71 |
More worked examples: 3-Phase Power Calculation Examples · 3-Phase Formulas (√3)
3-Phase Power Formula & Explanation
- VL-L
- Line-to-line voltage in volts (measured at the equipment or bus).
- I (or IL)
- Balanced line current in amperes (RMS), one conductor of the three-phase set.
- PF (cos φ)
- Displacement power factor: ratio of real power to apparent power for fundamental frequency; harmonics need separate treatment.
- kW / kVA
- Real and apparent power; kVAR (reactive) fills the triangle when PF < 1.
Balanced line quantities: kW = √3 × VL-L × I × PF ÷ 1000 and kVA = √3 × VL-L × I ÷ 1000 so kW = kVA × PF. Example: 400 V, 10 A, PF 0.85 → about 5.9 kW and 6.9 kVA. The green next-step card points to kVA to amps at your voltage and phase.
Why do you multiply by 1.73 (√3) for three phases?
In a balanced three-phase system, the three line-to-neutral voltages are 120° apart. When you express total three-phase power using line-to-line voltage (VL-L) and line current (I), geometry gives the factor √3 ≈ 1.732. That is why you see 1.73 in field shorthand: P = √3 × VL-L × I × PF for real power and S = √3 × VL-L × I for apparent power (kVA).
Quick check: 400 V line-to-line, 10 A line current, PF 0.85 → kW = 1.732 × 400 × 10 × 0.85 ÷ 1000 ≈ 5.9 kW. Without √3 you would under-estimate three-phase power by about 73%. Single-phase formulas omit √3 because only one phase carries the full voltage reference.
kW vs kVA vs kVAR: kW is real power; kVA is apparent; kVAR is reactive. Conductors and sources must carry kVA; utility and PFC discussions often focus on kVAR when PF lags.
Motor note: running FLA follows the formulas above; locked-rotor, thermal overloads, and branch protection follow NEC 430 and IEC 60034 / IEC 60364 practices (or your local code)—size devices with those rules, not this steady-state line alone. Fault current and selective coordination are outside this page.
Delta / Wye and line ↔ phase current
Balanced three-phase power formulas on this page use line-to-line voltage and line current. Topology still matters when you read nameplates or wire a bank:
| Connection | Voltage relation | Current relation | Use in this calculator |
|---|---|---|---|
| Wye (Y / star) | VL-L = √3 × VL-N | Iline = Iphase | Enter VL-L and line A (same as phase A) |
| Delta (Δ) | VL-L = Vphase | Iline = √3 × Iphase | Enter VL-L and line A (not coil current alone) |
Line ↔ phase current (balanced): Wye IL = Iph; Delta IL = √3 × Iph (so Iph = IL ÷ √3). Example: Delta load drawing 17 A line at 400 V → phase/coil current ≈ 9.8 A. Keep PF on the line-power formulas above—do not swap VL-N into the √3 line equation.
Bidirectional workflow: know amps → kW here; know kW → amps via the kW→amps table or kVA to amps / kW to kVA. Then screen cable / wire gauge and voltage drop.
- Ampacity: tabulated conductor current must be derated for installation method, ambient, grouping, and harmonics on project tables.
- Balanced load assumed; unbalance needs per-phase work.
- √3 ≈ 1.732 ties line values to total three-phase power.
More: 3-phase power formula & examples · Power factor formula · kW to kVAR / PF correction · 3-phase power guide · Factory load · kW to kVA · kVA to amps · Cable size · Voltage drop · Power Calculators Hub
kVA² = kW² + kVAR²; with PF known, PF = kW ÷ kVA.
Motor FLA / breaker quick reference (400 V class)
Illustrative running FLA and order-of-magnitude LRA from nameplate practice; verify NEC 430.52 / 430.22, IEC 60034 nameplate currents, and nameplate LRA before selecting devices.
| Motor size | Typical FLA (400V) | Typical LRA | Screening breaker (inverse-time) |
|---|---|---|---|
| 5 HP | 7–8 A | 42–56 A | 20 A class |
| 10 HP | 14–16 A | 84–112 A | 30 A class |
| 25 HP | 35–40 A | 210–280 A | 60 A class |
| 50 HP | 70–75 A | 420–560 A | 200 A class |
| 100 HP | 140–150 A | 840–1200 A | 400 A class |
From HP use 1 HP ≈ 0.746 kW, then FLA ≈ kW × 1000 ÷ (√3 × V × PF × η) with nameplate η when known. This table is not a substitute for OEM data, cable ampacity, or fault studies.
Need the full explanation?
Power factor ties line current to real kW on three-phase buses. Read the cluster authority guide for correction planning and typical industrial PF values.
Frequently Asked Questions
What is the difference between Delta and Wye for 3-phase current?
Wye: Iline = Iphase and VL-L = √3 × VL-N. Delta: VL-L = Vphase and Iline = √3 × Iphase. This calculator expects line-to-line V and line A—see Delta / Wye table. Example: 17 A line on a Delta load → phase/coil ≈ 9.8 A.
What is 1 kW in amps on 3-phase?
At 400 V line-to-line: 1 kW ≈ 1.44 A at PF 1.0, or ≈ 1.70 A at PF 0.85. Formula: I = (kW × 1000) ÷ (√3 × V × PF). At 480 V and PF 0.85, 1 kW ≈ 1.42 A. Open 1 kW @ 400 V preset or see kW → amps table.
How do I convert kW to amps in 3 phase?
I (A) = (kW × 1000) ÷ (√3 × VL-L × PF) with line-to-line voltage. Example: 10 kW at 400 V, PF 0.85 ≈ 17 A. For apparent-power workflows, convert kW to kVA first on kW to kVA, then use kVA to amps only when you already know kVA.
Why 1.73 for 3-phase power calculation?
1.73 is √3 rounded (≈ 1.732). Balanced three-phase real power with line-to-line voltage and line current is P = √3 × V × I × PF. Example: 400 V, 10 A, PF 0.85 → about 5.9 kW. Omitting √3 under-estimates three-phase power by about 73%. Full derivation and examples: 3 phase power formula · page note Why multiply by 1.73.
What is the formula for 3-phase power to amps?
I (A) = (kW × 1000) ÷ (√3 × VL-L × PF), or from apparent power I = (kVA × 1000) ÷ (√3 × VL-L). Example: 10 kW at 400 V, PF 0.85 ≈ 17 A. Worked equations: 3 phase power formula. Instant check: this calculator or kVA to amps.
How many amps is 7.5 kW 3-phase?
Amps depend on line-to-line voltage and PF. At 400 V, PF 0.85: I ≈ 7.5 × 1000 ÷ (√3 × 400 × 0.85) ≈ 12.7 A. At 480 V, PF 0.85: ≈ 10.6 A. Enter your site V and PF above for an instant check—more worked cases on the 3 phase power formula page. Do not size breakers from a single generic “7.5 kW = X A” table alone.
What is 3-phase 240v power?
3-phase 240 V usually means 240 V line-to-line (seen on some North American delta / high-leg buses and older plant systems). Balanced real power is still P = √3 × 240 × I × PF ÷ 1000. Do not confuse with single-phase 240 V (no √3) or 208Y/120 V wye—confirm meter/nameplate voltage first. Math and examples: 3 phase power formula · concepts: what is 3 phase power.
What is a 3 phase power calculator?
A 3 phase power calculator computes balanced kW and kVA from line-to-line voltage, line current, and power factor using P = √3 × V × I × PF. Example: 400 V, 52 A, PF 0.85 ≈ 30.6 kW. Same tool answers “3 phase electrical calculations” and “3 phase AC power calculation” searches.
Is this a 3 phase power calculator?
Yes. Enter line-to-line voltage, line current, and power factor above for balanced kW and kVA using P = √3 × V × I × PF. Formula details: Formula & Explanation on this page · 3 phase power formula guide.
What are 3 phase electrical calculations / AC power calculations?
Typical 3 phase electrical calculations convert among kW, kVA, and line amps with P = √3 × V × I × PF and kVA = √3 × V × I ÷ 1000. Enter V, A, and PF above for an instant screen—then size cable/breaker separately. Worked equations: 3 phase power formula & examples.
What is the difference between line current and phase current in three-phase systems?
Line current flows in each supply conductor; phase current flows in each winding. In delta, line current equals phase current times √3; in wye (star), line current equals phase current. Field work usually starts from line quantities.
How do I calculate kVA from kW in a three-phase system?
kVA = kW ÷ power factor. Example: 10 kW at PF 0.85 gives about 11.76 kVA. The calculator shows both once V, I, and PF are set.
What power factor should I use for different types of loads?
Resistive loads are near PF 1.0; motors often 0.8–0.9; electronics often 0.9–0.95. For mixed plants use a weighted average or the lowest PF for a conservative envelope; 0.85 is a common placeholder when data is thin.
Why is the recommended breaker rating higher than the calculated current?
Protective devices are sized above steady-state FLA for continuous-duty margins (often 125% where codes require), inrush, coordination, and future load growth—always follow NEC, IEC 60364 family rules, or your local code and manufacturer tables.
Can I use this calculator for single-phase systems?
Yes. Set System type → Single-phase. Real power uses P = V × I × PF (no √3); from kW, I = kW×1000 ÷ (V × PF). Keep three-phase selected when you need √3 and line-to-line volts.
How do I calculate 3-phase current from kilowatts?
I (A) = (kW × 1000) ÷ (√3 × V_L-L × PF). Example: 10 kW at 400 V and PF 0.85 is about 17 A. Always use measured V and PF when commissioning.
What is the difference between kW and kVA in 3-phase systems?
kW is real power; kVA is apparent power. kW = kVA × PF. Size transformers and generators on kVA; utility demand charges often track both kW and PF.
How do I convert horsepower to kilowatts for 3-phase motors?
1 HP ≈ 0.746 kW. Convert HP to kW, then use the three-phase current formula with nameplate PF and efficiency when known; remember locked-rotor and starting multiples are not modeled here.
What voltage should I use for 3-phase calculations?
Use line-to-line (phase-to-phase) voltage. Nominal 380/400/415 V is common in IEC markets; 480 V is common in North America. Prefer measured bus voltage at the equipment terminals when harmonics or long feeders skew the nameplate assumption.
How do I calculate 3-phase power factor from current and voltage?
If kW and kVA are known, PF = kW ÷ kVA. If kW, line-to-line voltage, and line current are known, PF = (kW × 1000) ÷ (√3 × V × I). Example: 10 kW at 400 V with 20 A line current is about 0.72 PF. Very low PF may trigger correction or utility penalties.
Why is my 3-phase current calculation different from measured values?
Mismatch comes from nominal versus measured voltage, true PF versus assumed PF, phase unbalance, harmonics, VFD waveforms, and instrument accuracy. Use clamp-on RMS readings at the load and reconcile with the site energy meter when disputes arise.
What is a 3 phase current calculator?
A 3 phase current calculator solves line amps from kW or kVA with line-to-line voltage (and PF when starting from kW): I = (kW × 1000) ÷ (√3 × V × PF). This page does that path; if you already know kVA, use kVA to amps.
Is 3 phase voltage the same as 3 phase power?
No. 3 phase voltage is the system line-to-line (or line-to-neutral) rating—an input. 3 phase power is kW/kVA from V, I, and PF. Enter your bus voltage here; do not treat “400 V three-phase” alone as a power result.
What is the 3-phase apparent power formula?
S (kVA) = √3 × VL-L × I ÷ 1000 (balanced). Real power uses the same √3 term with PF: P (kW) = √3 × V × I × PF ÷ 1000. More drills: 3 phase power formula & examples.
What is the 3-phase motor power formula?
Use nameplate or measured P = √3 × V × I × PF × η when efficiency is known; this calculator uses the electrical √3 form without η. Convert HP with 1 HP ≈ 0.746 kW, then solve current or kVA. For transformer kVA from plant kW, use transformer size.
Where is the transformer calculator for 3 phase?
For kVA transformer sizing from load kW and PF, open the kVA transformer calculator. This 3 phase power page computes feeder kW/kVA/current; it does not pick catalog transformer sizes.
Related Tools
- kVA to Amps Calculator (Instant, Free) — Also Amps to kVA
- kW to kVA Calculator (Instant, Free, with Formula & Examples)
- Power Factor Correction Calculator (kW to kVAR, Instant Free)
- Cable Sizing Chart & Wire Size Calculator
- Voltage Drop Calculator (Instant, Free) — NEC AWG & Formula
- Breaker Size Calculator
- Factory Load Calculator
- Generator Wattage Calculator