Electrical Trade & Electronics Motors, Transformers & Three-Phase Power NEC Article 450 · ANSI/IEEE C57.12 rating series

Transformer kVA Sizing Calculator

Tell this calculator what your load is — in kVA, in kilowatts with a power factor, or as measured amps at the secondary voltage — and it returns the transformer capacity you need, the next standard kVA rating you can actually order, and the full-load current in both windings at that rating. Those two currents are the numbers you carry forward: the primary one sizes the feeder and the overcurrent device under NEC 450.3, and the secondary one sizes the panel, its main and the conductors leaving it. A spare-capacity allowance lets you buy headroom for future circuits without redoing the arithmetic.

Calculator

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Inputs this calculator takes, with typical values
InputWhat to enterExample
How is the load known?Choose whichever figure you have; a panel schedule usually totals in kVA, a mechanical schedule in kW.Apparent power (kVA)
Connected loadThe total demand the transformer must carry, after applying any diversity or demand factors from NEC Article 220.60 kVA
Connected loadReal power the load consumes; the calculator divides by power factor to get the kVA the transformer must supply.50 kW
Load power factorEnter as a decimal. Use 1.0 for resistance heating, around 0.85 for a motor-dominated load.0.85
Load current at secondaryMeasured or calculated line current on the low-voltage side, which is where load current is normally known.100 A
PhaseThree-phase uses the √3 factor and the three-phase standard rating series; single-phase uses neither.Three-phase
Primary voltageLine-to-line voltage on the supply side, typically 480 V or 600 V for a commercial dry-type unit.480 V
Secondary voltageLine-to-line voltage on the load side; enter 208 for a 208Y/120 panel and 240 for 240/120 single-phase.208 V
Spare capacity allowanceHeadroom added above the connected load before rounding up to a standard rating; 20-25% is a common design allowance.25 %

It returns

  • Required capacity — Connected load plus your spare allowance, before rounding to a rating you can buy.
  • Next standard rating — The smallest catalogue rating at or above the required capacity.
  • Primary full-load current — At the standard rating. Sizes the primary feeder and the NEC 450.3 overcurrent device.
  • Secondary full-load current — At the standard rating. Sizes the secondary conductors and the downstream panelboard.
  • Loading at connected load — Your connected load as a percentage of the chosen rating.

The formula

kVAreq=3VI1000(1+s)
IFL=kVA10003V
kVA=kWPF

In plain text: kVA_required = √3 × V × I ÷ 1000 × (1 + spare) → round up to a standard rating

  • kVA_reqCapacity the transformer must have (kVA)
  • VLine-to-line voltage on the side where the current is known (V)
  • ILine current of the connected load (A)
  • sSpare capacity allowance as a decimal (decimal)
  • √3Used for three-phase only; omit for single-phase (—)

Transformer capacity is apparent power, so a kilowatt load must be divided by its power factor before it is used here. Both windings of a transformer carry the same kVA, which is why one rating fixes two different currents.

Updated Category Motors, Transformers & Three-Phase Power Verified against published test cases Reading time 14 min

Why transformers are rated in kVA and not kW

A transformer is limited by two things: how much current its windings can carry before they overheat, and how much voltage its insulation can stand. Neither depends on the phase angle of the load. Multiply the rated voltage by the rated current and you get volt-amperes, which is why every transformer nameplate carries a kVA rating and never a kW rating.

That distinction is where most sizing mistakes start. A 75 kVA transformer feeding a load at 0.80 power factor delivers 75 × 0.80 = 60 kW of real work while its windings run at full rated current. Size that same transformer from a 75 kW load figure and you have overloaded it by 25% on day one. Any load given to you in kilowatts has to be divided by its power factor before it goes anywhere near a transformer selection — the three-phase power calculator handles that conversion together with the reactive component.

The second thing to understand is that both windings carry the same kVA. A 75 kVA, 480 V to 208 V three-phase transformer carries 90.2 A on the primary and 208.2 A on the secondary, and 480 × 90.2 × √3 equals 208 × 208.2 × √3 to within rounding. Current and voltage trade inversely across the ratio; the product stays put. That single fact is why one rating gives you two different conductor sizes, two different overcurrent devices, and two different sets of terminal lugs.

Finally, transformers are not built in continuous sizes. The industry rating series — 15, 30, 45, 75, 112.5, 150, 225, 300, 500, 750, 1000 kVA for three-phase dry-type units — comes in coarse steps, so the practical answer is always the next standard rating at or above what you calculated, not the calculated number itself.

The sizing chain, step by step

Sizing a transformer is four operations in a fixed order. Change the order and you get the wrong answer.

1. Get the connected load into kVA. If it is already in kVA, you are done. If it is in kilowatts, divide by power factor: kVA = kW ÷ PF. If it is a measured or calculated current on the low-voltage side, convert with kVA = √3 × V × I ÷ 1000 for three-phase or V × I ÷ 1000 for single-phase. Apply any demand factors from NEC Article 220 before this point, not after — a transformer is sized for calculated demand load, not for the arithmetic sum of every nameplate on the drawing.

2. Add spare capacity. Multiply by (1 + spare). This is a design choice rather than a Code requirement. Twenty to twenty-five percent is a common allowance and buys you future circuits, an unanticipated motor, and some margin against the non-linear load that modern electronics contribute.

3. Round up to a standard rating. Take the smallest catalogue size at or above the required figure. Rounding down is not an option; a transformer loaded above its nameplate rating runs hot and its insulation life falls.

4. Compute full-load current in each winding at the standard rating. I = kVA × 1000 ÷ (√3 × V) for three-phase, or kVA × 1000 ÷ V for single-phase, using each side's own voltage. Use the standard rating here, not the required figure, because the nameplate is what NEC 450.3 sizes protection from.

From there, primary FLA feeds the primary overcurrent device and the feeder to the transformer, and secondary FLA feeds the secondary conductors and the panelboard main. Both currents then need a conductor ampacity check and, on any long secondary run, a voltage drop check.

Worked example: 60 kVA of load on a 480 V to 208Y/120 V three-phase transformer

A tenant fit-out totals 60 kVA of calculated demand load on a 208Y/120 V panel, fed from a 480 V distribution board. You want 25% spare.

  1. Connected load. Already in kVA: 60 kVA.
  2. Add spare. 60 × 1.25 = 75.00 kVA required.
  3. Round to a standard rating. The three-phase series runs … 45, 75, 112.5 … so 75.00 lands exactly on 75 kVA.
  4. Primary full-load current. 75,000 ÷ (1.732 × 480) = 75,000 ÷ 831.4 = 90.21 A.
  5. Secondary full-load current. 75,000 ÷ (1.732 × 208) = 75,000 ÷ 360.3 = 208.18 A.
  6. Check the loading. 60 ÷ 75 = 80% loaded at the connected load, leaving 15 kVA of headroom.
  7. Primary protection. NEC 450.3(B) with primary-only protection allows 125% of 90.21 A = 112.8 A. That is not a standard device rating, and Note 1 to Table 450.3(B) permits the next standard size up, so a 125 A primary breaker is acceptable.
  8. Secondary side. Conductors and the panel main are sized from 208.18 A, which in practice means a 225 A panelboard.

Now see how sharp the standard-rating step is. Had the load been 60.1 kVA instead of 60, the required capacity would be 75.13 kVA and the answer would jump to the 112.5 kVA frame — a 50% larger transformer for a 0.17% larger load. Whenever your required figure lands within a percent or two of a standard rating, check the spare allowance and the demand factors before you accept the bigger unit.

Reading the result

Loading percentage is the number to argue about. A transformer sitting at 80% of nameplate on connected load has real room for growth. One at 98% has none, and the first added circuit pushes it over. One at 40% is oversized: dry-type transformers have fixed core losses that run whenever the unit is energised, regardless of load, so an oversized transformer wastes energy continuously for its whole life. Aim for a design point that leaves genuine headroom without buying two frame sizes of idle iron.

Primary and secondary currents both matter, for different reasons. The primary figure sizes the feeder and the overcurrent device that protects the transformer. The secondary figure is usually the larger of the two on a step-down unit and drives the expensive part of the installation — secondary conductors are short but fat, and their terminations set the panelboard bus rating.

Standard ratings are not arbitrary. The three-phase dry-type series (15, 30, 45, 75, 112.5, 150, 225, 300, 500, 750, 1000 kVA) and the single-phase series (1, 1.5, 2, 3, 5, 7.5, 10, 15, 25, 37.5, 50, 75, 100, 167, 250, 333, 500 kVA) are what distributors stock. Specifying an intermediate size means a custom build with a long lead time.

Non-linear load changes the question. Where a large share of the load is switch-mode power supplies, LED drivers or drives, harmonic currents heat the windings more than their RMS value alone suggests. The usual answer is a K-rated transformer specified to UL 1561, chosen by the character of the load rather than by a multiplier on kVA. Do not simply oversize a standard transformer and assume the problem is handled.

Motor load deserves a second look. Starting a large motor across the line draws several times its full-load current for a few seconds, and the resulting voltage dip on a lightly rated transformer can drop other equipment out. Size the transformer for running load with this calculator, then check the largest motor's starting kVA separately — the motor full load amps calculator gives the running current the check starts from.

Standard three-phase kVA ratings with 480 V and 208 V full-load currents

Full-load current at each standard rating, computed as kVA × 1000 ÷ (√3 × V). Per kVA that is 1.2028 A at 480 V and 2.7757 A at 208 V. The last column is 125% of primary current, the NEC 450.3(B) limit for primary-only overcurrent protection.
Rating480 V primary FLA208 V secondary FLA125% of primary FLA
15 kVA18.0 A41.6 A22.6 A
30 kVA36.1 A83.3 A45.1 A
45 kVA54.1 A124.9 A67.7 A
75 kVA90.2 A208.2 A112.8 A
112.5 kVA135.3 A312.3 A169.1 A
150 kVA180.4 A416.4 A225.5 A
225 kVA270.6 A624.5 A338.3 A
300 kVA360.8 A832.7 A451.1 A
500 kVA601.4 A1387.9 A751.8 A
750 kVA902.1 A2081.8 A1127.6 A
1000 kVA1202.8 A2775.7 A1503.5 A

For a 600 V primary multiply the kVA by 0.9623 A per kVA; for a 240 V secondary multiply by 2.4056 A per kVA. Single-phase transformers drop the √3 entirely.

Standards assumed: NEC Article 450 and the ANSI/IEEE C57.12 rating series

Overcurrent protection here follows NFPA 70, the National Electrical Code, Article 450, and specifically Table 450.3(B) for transformers rated 1000 V or less, as written in the 2023 edition. Where primary protection alone is provided and the primary current is 9 A or more, the device may not exceed 125% of primary full-load current, with Note 1 permitting the next standard size up when 125% does not land on a standard rating. Adding secondary protection at no more than 125% of secondary current raises the permitted primary device to 250%. Preferred kVA ratings and general requirements come from the ANSI/IEEE C57.12 family — C57.12.00 for liquid-immersed and C57.12.01 for dry-type units. Confirm the adopted Code edition with your authority having jurisdiction.

Sizing mistakes that show up on site

  • Sizing from kW without dividing by power factor. A 75 kW load at 0.80 power factor is 93.75 kVA, so buying a 75 kVA unit leaves it carrying 125% of nameplate while a schedule written in kilowatts appears to show it exactly at rating. The symptom is a transformer that runs hot at what the drawing calls full load.
  • Adding every nameplate on the drawing. Transformers are sized for calculated demand load with the Article 220 demand factors applied, not for connected nameplate totals. Adding raw nameplates routinely doubles the answer.
  • Computing full-load current from the required kVA instead of the standard rating. The nameplate is what protection and conductors are sized from, so use the rating you are actually buying.
  • Applying the current to the wrong winding. Primary and secondary currents differ by the voltage ratio. Putting the secondary current on the primary feeder oversizes it; the reverse undersizes it dangerously.
  • Treating spare capacity as a Code rule. It is a design allowance. If a required figure lands just above a standard rating, revisit the allowance and the demand factors rather than automatically buying the next frame.
  • Ignoring the separately derived system requirements. The secondary of a typical delta-wye transformer is a separately derived system, which needs a system bonding jumper, a grounding electrode conductor and a grounded conductor sized per NEC 250.30 — none of which follows from the kVA rating.

What to size next, and when a different tool applies

The kVA rating is the start of a sequence. Once you have it, the primary feeder, the primary overcurrent device, the secondary conductors, the secondary panel and the grounding of the separately derived system all follow. Two further checks belong in the same package. The first is available fault current: a transformer's impedance, typically stamped on the nameplate as a percentage, sets how much current the secondary can deliver into a bolted fault, and every device downstream needs an interrupting rating above that figure — the short circuit current calculator works it out from kVA and percent impedance. The second is voltage regulation under motor starting.

If what you actually need is the voltage or turns relationship rather than the capacity — checking a TTR test result, working out a secondary voltage from a tap change, or reflecting an impedance from one side to the other — use the transformer turns ratio calculator instead. And if the load is dominated by a poor power factor, correcting it at the load reduces the kVA the transformer has to supply for the same real work; the power factor correction capacitor calculator sizes that.

One boundary worth naming: this calculator covers the ordinary distribution case of a two-winding transformer at 1000 V or less on both sides. Autotransformers, buck-boost connections and units above 1000 V follow different rules — buck-boost transformers in particular are rated for the small voltage difference they develop rather than the full load kVA, so a 1 kVA buck-boost unit can serve a load many times that size. Sizing one from this calculator will give you an answer far larger than you need.

Key terms

kVA
Kilovolt-amperes: rated voltage times rated current, in thousands. The unit every transformer nameplate uses, because winding heating depends on current regardless of power factor.
Full-load current (FLA)
The current a winding carries when the transformer delivers its nameplate kVA at rated voltage. Different on each side, in inverse proportion to the voltages.
Separately derived system
A wiring system whose power comes from a source with no direct electrical connection to the supply conductors, which is what the secondary of an isolation transformer creates. NEC 250.30 governs its grounding and bonding.
Percent impedance
The percentage of rated primary voltage needed to drive rated current through a short-circuited secondary. It sets both the voltage regulation and the available fault current at the secondary terminals.
K-factor
A rating under UL 1561 describing a transformer's capability to serve non-linear load without excess winding heating from harmonic currents.

Frequently asked questions

What size transformer do I need for a 100 amp load?

It depends entirely on the voltage that current flows at. One hundred amps at 208 V three-phase is √3 × 208 × 100 ÷ 1000 = 36.0 kVA, which rounds to a 45 kVA transformer with no spare allowance. The same 100 A at 480 V three-phase is 83.1 kVA and needs a 112.5 kVA unit. At 240 V single-phase it is 24 kVA and needs a 25 kVA unit. Always convert current to kVA at the voltage where the current is measured.

How do I convert transformer kVA to amps?

Divide the kVA by the voltage, with a √3 in the denominator for three-phase. For three-phase, amps = kVA × 1000 ÷ (1.732 × V); for single-phase, amps = kVA × 1000 ÷ V. A 75 kVA three-phase transformer at 480 V carries 90.2 A, and the same 75 kVA at 208 V carries 208.2 A. Do this separately for each winding, using that winding's own voltage.

How much spare capacity should I allow?

Twenty to twenty-five percent is a common design allowance, but it is a judgement call rather than a Code requirement. Allow more where the space is likely to be re-fitted, where a tenant may add equipment, or where the load contains growing non-linear content. Allow less where the load is fixed and well known. Because standard ratings come in coarse steps, the allowance often makes no difference to the size you end up buying — check both with and without it before committing.

Can I load a transformer to 100% of its nameplate?

Continuously, yes — that is what the nameplate rating means, at the stated ambient temperature and altitude. What you lose is margin. A transformer at 100% has no capacity for any addition, and its insulation is working at the temperature rise it was designed for, so any ambient above the rated condition or any restriction on ventilation shortens its life. Most designers therefore target a lower steady-state loading, which the loading percentage output here makes visible.

Does power factor change the transformer size?

Yes, whenever the load is stated in kilowatts. Transformer capacity is apparent power, so a 60 kW load at 0.85 power factor needs 70.6 kVA of transformer while the same 60 kW at unity needs only 60 kVA. Power factor does not change the answer when your load is already given in kVA or in measured amps, because both of those already include the reactive component.

Why is the secondary current so much higher than the primary?

Because both windings carry the same kVA, and the secondary does it at a lower voltage. On a 480 V to 208 V unit the voltage ratio is 2.31, so the secondary current is 2.31 times the primary current. That is why step-down transformers have visibly heavier secondary terminations and why the secondary conductors, not the primary feeder, usually dominate the installation cost.

What overcurrent protection does the transformer need?

For a transformer rated 1000 V or less with primary protection only, NEC Table 450.3(B) limits the primary device to 125% of primary full-load current when that current is 9 A or more, with the next standard size up permitted where 125% does not correspond to a standard rating. Lower currents get higher multipliers: 167% between 2 A and 9 A, and 300% below 2 A. If secondary protection at no more than 125% of secondary current is also provided, the primary device may go up to 250%. These rules protect the transformer; the conductors on each side still need protection under Article 240.

Is a 112.5 kVA rating really standard?

Yes. The three-phase dry-type series runs 15, 30, 45, 75, 112.5, 150, 225, 300, 500, 750 and 1000 kVA, and 112.5 is a stocked size that fills the gap between 75 and 150. It looks odd because it is three times the 37.5 kVA single-phase rating, which is itself one and a half times 25 kVA. Distribution transformer sizes grew historically from single-phase units banked in threes, and the series still shows it.

Does this work for a step-up transformer?

Yes. Enter the lower voltage as the primary and the higher voltage as the secondary and the arithmetic is unchanged — kVA is the same in both windings either way, and each current still follows from its own winding voltage. The calculator flags the step-up case so you notice which winding carries the larger current. What does change is the protection scheme and, for anything feeding a utility or a generator, a set of requirements outside the scope of a sizing calculation.

References

  • NFPA 70, National Electrical Code, Article 450 (Transformers and Transformer Vaults) and Article 220 (Load Calculations) — National Fire Protection Association
  • IEEE Std C57.12.01: General Requirements for Dry-Type Distribution and Power Transformers — Institute of Electrical and Electronics Engineers
  • IEEE Std C57.12.00: General Requirements for Liquid-Immersed Distribution, Power, and Regulating Transformers — Institute of Electrical and Electronics Engineers
  • UL 1561: Standard for Dry-Type General Purpose and Power Transformers — UL Solutions