2026-09-24 8 min read

Three Phase Power Calculator

Three-phase power from line-to-line volts, current and power factor — with kW and BTU/h conversions.

Calculator

Quick presets

Voltage (L-L)(V) Help

Line-to-line volts

Current(A) Help

Per-phase amps

Power factor Help

0-1, motors 0.8

Diagram

Sketch for three phase power calculator with your values. Not to scale — verify on site before ordering.

Plan

Item	Value
PowerHeadline power	19,952.64 W
KilowattsSupporting figure	19.95 kW
BTU/hSupporting figure	68,078.41 BTU/h
Priced value (enter a unit price)Materials before labor + contingency	—

Cost plan

Materials	$99,763.20
Labor and install	$49,881.60
Contingency	$14,964.48
Project total	$164,609.28

Estimates only — get 2–3 local quotes. Labor varies by region.

Comparisons

kW	19.95
BTU/h	68,078.41
Amps per kW	1.50

Results

Normal

Power

19,952.64W

From P = 1.732 x V x I x PF

Kilowatts

19.95kW

Supporting conversion

BTU/h

68,078.41BTU/h

Supporting conversion

Live results update as you type — currently showing 19,952.64 W for three phase power calculator. Replace the defaults with your own values for an exact takeoff.

Visualizations

Your power vs motor sizes (W)

19,953Your result

7,50010 HP (~7.5kW)

37,00050 HP (~37kW)

Result vs 10% allowance

Result91%

Allowance (10%)9%

Formula

Three-phase power from line-to-line volts, current and power factor — with kW and BTU/h conversions.

P = 1.732 x V x I x PF

Alternative Form

kW = W/1000; BTU/h = W x 3.412

Variables

Symbol	Name	Unit	Description
V1	Voltage (L-L)	V	Line-to-line volts
V2	Current	A	Per-phase amps
V3	Power factor		0-1, motors 0.8
Q	Result	W	Headline answer at full precision.

Explanation

Inputs convert to consistent units first, the formula runs at full precision, then waste and rounding produce the order figure. Cost multiplies by your unit price.

Step-by-Step Calculation

Follow each step to understand how the result is calculated from your inputs.

Step 1

Three-phase power P = sqrt(3) x V x I x PF (line-to-line volts).

P = 1.732 x 480 x 30 x 0.80

Result: P = 19,952.64 W

Step 2

Convert to kW and BTU/h.

kW = W/1000

Result: 19.95 kW = 68,078 BTU/h

Final Answer

19,952.64

Worked Examples

See how the calculator works with different scenarios.

Scenario

The live inputs above run through the full path below — not just the headline answer.

Inputs

Voltage (L-L):480 V

Current:30 A

Power factor:0.8

Calculation

1. Three-phase power P = sqrt(3) x V x I x PF (line-to-line volts). → P = 19,952.64 W 2. Convert to kW and BTU/h. → 19.95 kW = 68,078 BTU/h

Result

19,952.64 W

Interpretation

Order the uplifted figure, never the net: cuts, defects, rounding and code minimums consume the allowance.

Understanding Your Result

Your Result: Power: 19,952.64 W

Typical range: P = 1.732 x V(LL) x I x PF; motor PF 0.75-0.9.

What This Means

Your result is 19,952.64 W (power). That is the engineered figure — verify it against the code table before buying.

Why It Matters

Sizing drives budget, schedule, deliveries and inspections. Small input errors compound across runs, so modelling before buying is the cheapest due diligence.

Professional Interpretation

Plan around 19.95 kW (kilowatts). Keep same-lot spares for repairs.

How this is calculated

P = 1.732 x V x I x PF. Three-phase power from line-to-line volts, current and power factor — with kW and BTU/h conversions.

What drives the result

Input size, the selected option, waste % and whole-unit rounding. Unit price never changes quantity — only cost.

Recommendations

•Split irregular scopes into measurable runs and add the sections.
•Add waste before ordering: x1.10 straight, x1.15 cut-up, x1.20 complex.
•Measure twice — lasers beat tapes past 20 ft; photograph nameplates.
•Keep spares: lots, dye and grain shift between batches.

Educational Content

Introduction

Three-phase power from line-to-line volts, current and power factor — with kW and BTU/h conversions.

Concept Explanation

Every calculation reduces to P = 1.732 x V x I x PF, evaluated at full precision after unit conversion. The Steps section shows each substitution so the path is auditable.

Applications

▸Planning and takeoffs

▸Bid backup and quote checks

▸Permit documentation

▸Delivery and crew scheduling

▸Verification against supplier quotes

Benefits

•One live calculation — no separate tools per size or material
•Steps show every substitution for bid backup
•Waste and rounding separated from net math
•Instant cost, charts and lists from the same numbers

Limitations

•Planning math only — it does not replace stamped design where required
•Allowances use national planning rates; confirm local stock and prices
•Irregular geometry should be split into measurable sections

Best Practices

•Confirm nameplate and table values before ordering
•Keep one unit per field; watch the steps for conversions
•Photograph measurements and labels for dispute-proof records
•Add the trade waste factor before ordering, not after

Common Misconceptions

Myth: Order exactly the computed figure.

Truth: Cuts, defects, fittings and rounding consume 10-20%. Ordering net guarantees a second trip.

Myth: Sticker price picks the cheapest option.

Truth: True cost is installed cost per net unit after waste, labor and contingency — compare that line.

Myth: One rule fits every job.

Truth: Straight runs, retrofits and complex layouts need different allowances — use the sensitivity example.

Practical Tips

•Run one calculation per run, room or phase, then add the order lines.
•Pick stock sizes that divide your runs evenly to cut waste several points.
•Photograph each measurement next to the tape for bid backup.
•Enter your actual unit price to turn the takeoff into a budget in one step.

Common Mistakes

Ordering the net figure with no waste.

Use the order line: net x (1 + waste%) rounded up to whole units.

Mixing units in one run.

Keep one unit per field; the steps show every conversion explicitly.

Forgetting fittings, slack and extras.

Add equivalents and slack first, then apply waste — in that order.

Ignoring lot/batch differences on the second trip.

Order spares from the same lot up front.

Skipping the verification step.

Recompute one line by hand using the FAQ method before paying.

Assumptions

This calculator makes the following assumptions to provide estimates:

Consistent units: Each field uses its stated unit; conversions run before the formula.

Standard conditions: Water at ~60 F; copper electrical at 75 C terminations unless noted.

Code minimums: Results at or above model-code minimums; local amendments may require more.

Limitations

Be aware of these limitations when using this calculator:

Not a stamped design: Planning and takeoff math; get licensed design where the AHJ requires it.

Estimates, not quotes: Cost plans use allowances and your unit price — get 2-3 local quotes.

Frequently Asked Questions

Answers to common questions about this calculator.

What does the Three Phase Power Calculator do?

The Three Phase Power Calculator three-phase power from line-to-line volts, current and power factor — with kW and BTU/h conversions. Enter your values above and every result, step, chart and plan updates live.

What is the formula behind the Three Phase Power Calculator?

The core formula is P = 1.732 x V x I x PF. The alternate form shown on the page is kW = W/1000; BTU/h = W x 3.412. All math runs at full precision; only the display is rounded.

What inputs does the Three Phase Power Calculator need?

Enter Voltage (L-L) (V, default 480) and Current (A, default 30), plus Power factor (). Live steps show each substitution.

What units does the Three Phase Power Calculator report?

The headline result is reported in W (power), with kilowatts in kW and btu/h in BTU/h beside it. Keep one consistent input unit per field.

How accurate is the Three Phase Power Calculator?

Arithmetic follows directly from your inputs using P = 1.732 x V x I x PF, so accuracy equals measurement quality. Verify one line by hand (see the verification FAQ), confirm nameplate values, and check against the governing code table before buying.

Can you walk through an example with the Three Phase Power Calculator?

With the defaults (voltage (l-l) 480 V, current 30 A), the calculator substitutes each value into P = 1.732 x V x I x PF in the Steps section and lands on the dashboard headline. Change any input to replay the path with your numbers.

Which code or standard governs the Three Phase Power Calculator?

NEC Articles 210/220/310/314 and UL listings govern the work; the calculator implements the standard math, and your local amendment has the final word.

How does the Three Phase Power Calculator price the job?

Enter any unit price and the dashboard, cost plan and pie chart split materials, labor allowances and a 10% contingency instantly. Leave price blank for an engineering-only answer.

What is the most common mistake with the Three Phase Power Calculator?

Mixing units (inches vs feet, GPM vs CFS, watts vs VA) and skipping waste/fittings/slack allowances. The Steps section exposes every conversion so a slipped unit is visible immediately.

When should I hire a pro instead of trusting the Three Phase Power Calculator?

Use the calculator for planning, takeoffs and quote checks; hire a licensed electrician for permitted rough-in, service/panel work, gas, and anything the inspector must see. Bring the printed steps — pros quote faster with documented numbers.

How do I stay safe using the Three Phase Power Calculator?

A: de-energize, lockout/tagout, and verify absence of voltage with a rated tester before touching anything. The calculator is a planning tool — only qualified persons work in live panels per NFPA 70E.

What does the NEC require around the Three Phase Power Calculator result?

A: the calculator applies NEC math (Articles 210 branch circuits, 220 load calculations, 310 ampacity, 314 box fill, 358 conduit fill), but your AHJ amendment and listing instructions govern the final install.

Copper vs aluminum wire per the Three Phase Power Calculator?

A: copper carries more per gauge and terminates easily; aluminum (AA-8000) is economical for feeders 4 AWG and up but needs listed lugs, antioxidant and proper torque. Never mix without rated connectors.

How do I pick a breaker from the Three Phase Power Calculator?

A: continuous loads need 125% sizing (breaker >= load x 1.25); use the next standard size up (15/20/25/30/35/40/45/50/60/70/80/90/100). Motor and HVAC nameplates override generic math — follow Article 430/440.

What voltage drop is acceptable per the Three Phase Power Calculator?

A: NEC recommends max 3% on branch circuits and 5% total feeder+branch (fine print notes to 210.19/215.2). Size up one gauge when the calculator shows more than ~3% on long runs.

How does temperature derating change the Three Phase Power Calculator?

A: ampacity tables assume 30 C; attics at 40-50 C derate to 82-71%. Four or more current-carrying conductors in a raceway derate to 80% (4-6) or 70% (7-9) per 310.15(C)(1).

How do I measure for the Three Phase Power Calculator takeoff?

A: measure one-way run length (panel to farthest outlet) with a laser, add 2 ft per box plus panel/service slack, then add 10% waste. Long home runs waste more in zigzags than plans show.

How many wires fit in conduit per the Three Phase Power Calculator?

A: max fill is 53% for one wire, 31% for two, 40% for three or more (NEC Chapter 9). The calculator divides total wire area by conduit area and flags anything over the limit.

What size ground wire goes with the Three Phase Power Calculator result?

A: equipment grounding follows NEC 250.122 from the breaker size (e.g. 15-20A -> 12 AWG Cu, 30A -> 10, 60A -> 10, 100A -> 8). Ground upsizes with conductors when voltage drop forces larger hots.

How do AFCI/GFCI rules touch the Three Phase Power Calculator circuit?

A: most living-area receptacles need AFCI, wet/garage/outdoor need GFCI (210.8/210.12). Protection choice never changes wire size, but count the device boxes and budget $40-60 each.

How do I torque terminations for the Three Phase Power Calculator install?

A: follow the panel/breaker torque label (usually 20-50 in-lb for branch, 250+ in-lb for lugs) with a calibrated driver. Loose lugs cause most panel heat failures — retorque aluminum after the first thermal cycle per instructions.

Can the Three Phase Power Calculator handle three-phase math?

A: single-phase watts = V x A x PF; three-phase = 1.732 x V x A x PF. Enter line-to-line volts and the calculator note shows where the root-3 factor applies.

What power factor should I enter in the Three Phase Power Calculator?

A: resistive loads (heaters, incandescent) use 1.0; motors 0.75-0.85; LED drivers 0.9+. When in doubt use 0.8 for mixed motor loads — it sizes conservatively.

How do continuous loads change the Three Phase Power Calculator?

A: loads running 3+ hours (EVSE, water heaters, lighting) count at 125% for breaker and wire sizing. A 40A continuous EVSE needs a 50A breaker and wire rated 50A+.

How do I verify the Three Phase Power Calculator by hand?

A: recompute one line: e.g. amps = watts/volts, drop = 2 x amps x length x ohms-per-1000ft / 1000. If hand math differs, check one-way vs round-trip length and copper vs aluminum resistance.

What is the biggest mistake the Three Phase Power Calculator prevents?

A: sizing to the load amps with no 125% continuous factor and ignoring voltage drop on long runs — both nuisance-trip or brown out far outlets. Size to req amps, then check drop.

How do I label per the Three Phase Power Calculator?

A: directory every circuit at the panel with room + load, mark wire gauge on homeruns, and tag derated/upsized runs. Labeled panels troubleshoot in minutes instead of hours.

When should I call an electrician per the Three Phase Power Calculator?

A: hire out service upgrades, new panels, aluminum remediation and anything involving the meter or service drop. Use the calculator for planning and quotes; use a licensed electrician for terminations.

How does the Three Phase Power Calculator treat neutral and derating?

A: 120/240V residential neutrals count as current-carrying only with nonlinear loads per 310.15(E); count hots first, then apply bundling derate to the wire ampacity before comparing to the breaker.

How do I plan spare capacity with the Three Phase Power Calculator?

A: load panels to 80% max and leave 2-4 spare spaces (or a subpanel path). The cost of one spare conduit during rough-in beats trenching twice.

What about surge protection with the Three Phase Power Calculator project?

A: Type 1/2 SPDs at the service ($150-300) protect the electronics your new circuits feed. Sensitive home-office and HVAC controls justify it on every panel upgrade.

How do LED loads change old wattage rules in the Three Phase Power Calculator?

A: LEDs draw ~1/8 the watts of incandescent for equal lumens, so lighting circuits rarely bind on amps now — but inrush and dimmer compatibility bind instead. Keep LED dimmers listed and neutrals in switch boxes.

Related Calculators

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Related Guides

Deepen your understanding with these educational resources.

Measure once, order once: takeoff workflow

Net-to-order pipeline with waste, rounding and spare stock.

From takeoff to bid: labor and contingency

Turning quantities into a bid with rates and 10% contingency.

Permit-ready documentation

Steps, photos and nameplate records inspectors accept.

Glossary

Technical terms used in mortgage calculations explained in plain language.

Power: Headline result of this calculator, reported in W.
Net vs order quantity: Net is pure math before waste; order adds waste %, fittings/slack and whole-unit rounding.
Waste factor: Uplift for cuts, offcuts, defects and rework — typically 10% straight runs, 15% cut-up, 20% complex.
Ampacity: Maximum current a conductor carries continuously under stated conditions (NEC 310).
Voltage drop: Loss along conductors; NEC recommends 3% branch / 5% total as fine-print guidance.
Continuous load: 3+ hours operation; sized at 125% for breakers and conductors.
AWG / kcmil: Wire sizing: larger AWG numbers are smaller wires; 4/0 then kcmil sizes go up.

Authoritative References

Trusted sources and standards referenced by this calculator.

NFPA 70 — National Electrical Code (NEC) UL 489/67 — Breakers and Panelboards IEEE 141/242 — Power Distribution Protection NEMA — Enclosures and Wire Standards Energy Star — Home Energy Guidance

Applicable Standards

NEC 210/220/310/314/358 govern branch circuits, loads, ampacity, box and conduit fill3% branch / 5% total voltage drop (NEC fine-print notes to 210.19/215.2)Continuous loads at 125% for breakers and conductors (210.19/215.2)Torque to panel/device labels; verify absence of voltage before touching (NFPA 70E)Money rounded for display only; all calculations run at full precision

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Page Information

Last Updated:

2026-09-24

Version:

2.0.0

References:

License:

Free to use for educational and professional purposes.