Volts to kVA Calculator: Convert Volts and Amps to Kilovolt-Amps

Quick formulas: 1φ: kVA = V × I ÷ 1,000  |  3φ: kVA = V × I × √3 ÷ 1,000
Volts to kVA Calculator





📊 Quick Reference Table
VAPhasekVA
120202.40
220306.60
240307.20
4153021.56
4806554.03
❓ Quick FAQ

Can I convert volts to kVA with voltage alone?
No. You also need the current (amps). kVA = V × A ÷ 1,000 (single-phase) or V × A × √3 ÷ 1,000 (three-phase).

Converting Volts to kVA is a daily task whenever you size transformers, UPS systems, generators, or switchgear. Unlike converting to kW (which requires the power factor), the Volts to kVA calculator needs only two inputs: voltage and current. The apparent power in kVA is simply the product of volts and amps — divided by 1,000 for single-phase, and multiplied by √3 for three-phase systems. This page provides the exact formulas, comprehensive reference tables, six fully worked examples, and a professional FAQ to help you get the kVA rating right every time.

Whether you are specifying a transformer for a new commercial building, checking the kVA capacity of an existing panel, calculating the apparent load on a 240 V service entrance, or verifying generator sizing for a data center, the concepts on this page apply directly. The formulas align with IEEE C57.12 transformer standards, IEC 60076, and NEMA equipment ratings — all of which express transformer capacity in kVA, not kW, because the transformer must handle the full apparent power regardless of the load’s power factor.

Publicidad

Volts to kVA Conversion Table

The table below covers standard voltage and current combinations found on transformer nameplates, panel schedules, and UPS specification sheets. Each row shows the resulting kVA for both single-phase and three-phase configurations.

Publicidad
Calculator Volts to kVA — fórmula y ejemplo resuelto
Fórmula y ejemplo resuelto: Calculator Volts to kVA
Voltage (V)Current (A)kVA (1φ)kVA (3φ)Typical Application
120151.803.12US residential circuit
120202.404.16US 20 A branch circuit
220153.305.72Small office load
220306.6011.43Window A/C or small shop
230327.3612.75EU single-phase max circuit
240307.2012.47US split-phase oven / dryer
2405012.0020.78US sub-panel feeder
3803011.4019.75Small industrial motor
4004016.0027.71EU three-phase distribution
4153012.4521.56UK/India industrial motor
4405022.0038.11Large pump or fan motor
4806531.2054.03US industrial MCC feeder
48010048.0083.14Large VFD or transformer secondary
6006036.0062.35Canadian industrial plant

The key insight: the same voltage and current always produce a higher kVA value on three-phase (by a factor of √3 ≈ 1.732) because three conductors carry current simultaneously. That is why transformers and generators are rated in kVA — it reflects the maximum apparent power the equipment can deliver regardless of the connected load’s power factor.

Formulas: How to Convert Volts to kVA Step by Step

kVA stands for kilovolt-amperes — apparent power expressed in thousands of volt-amps. The formulas are straightforward because no power factor is involved; kVA is the raw product of voltage and current.

Single-phase formula

kVA = V × I ÷ 1,000

Multiply the voltage by the current in amps to get volt-amperes (VA), then divide by 1,000 to convert to kVA. This formula applies to all single-phase circuits — 120 V residential, 220 V commercial, 240 V split-phase, and any other single-phase voltage.

Three-phase formula

kVA = V × I × √3 ÷ 1,000

For three-phase systems, the √3 factor (≈ 1.732) accounts for the combined power delivered by three phases. Here V is the line-to-line voltage and I is the line current — the values you read on a standard voltmeter and clamp meter at the switchgear.

Note that no power factor is needed for kVA. That is the fundamental difference between kVA (apparent power) and kW (real power). The transformer, generator, or UPS must be sized for the kVA load because it must handle the total current — both the “working” component and the “reactive” component. The power factor only matters when you want to know how many kilowatts of real work the load performs.

Step-by-step: Convert 240 V, 30 A, single-phase to kVA

  1. Identify the values: V = 240, I = 30 A, single-phase.
  2. Select the formula: kVA = V × I ÷ 1,000.
  3. Calculate: kVA = 240 × 30 ÷ 1,000 = 7,200 ÷ 1,000 = 7.20 kVA.
  4. Verify context: 7.2 kVA matches a standard residential sub-panel transformer capacity — correct.

Step-by-step: Convert 415 V, 30 A, three-phase to kVA

  1. Identify the values: V = 415, I = 30 A, three-phase.
  2. Select the formula: kVA = V × I × √3 ÷ 1,000.
  3. Calculate: kVA = 415 × 30 × 1.732 ÷ 1,000 = 21,563.4 ÷ 1,000 = 21.56 kVA.
  4. Context: 21.56 kVA — you would select a standard 25 kVA transformer to serve this load with adequate headroom.

kVA vs. kW vs. VA — Key Differences

Engineers often confuse kVA, kW, and VA because all three describe aspects of electrical power. The table below clarifies each unit and when to use it.

AttributeVA (volt-amps)kVA (kilovolt-amps)kW (kilowatts)
MeasuresApparent powerApparent power (÷ 1,000)Real (active) power
Formula (1φ)V × IV × I ÷ 1,000V × I × PF ÷ 1,000
Power factor needed?NoNoYes
Sized forSmall UPS, PDUsTransformers, generators, large UPSMotors, heaters, load schedules
Relationship1 kVA = 1,000 VAkVA = kW ÷ PFkW = kVA × PF
Why it mattersDetermines wire sizingDetermines transformer / generator sizeDetermines energy consumption & billing

The core relationship is: kW = kVA × PF. A 100 kVA transformer at a power factor of 0.85 delivers 85 kW of real power. The remaining 15 kVA circulates as reactive power — it does no useful work but it still heats cables and occupies transformer capacity. That is why transformers are always rated in kVA: the iron core and copper windings must handle the full apparent power, regardless of how the load splits it between real and reactive components.

To convert VA to kVA, simply divide by 1,000. A 5,000 VA UPS is the same as 5 kVA. No other conversion factor is needed — it is purely a scale change, just like converting watts to kilowatts.

Publicidad

kVA to Volts — Inverse Conversion

To find the voltage when you know the kVA and the current, rearrange the formulas:

1φ: V = kVA × 1,000 ÷ I
3φ: V = kVA × 1,000 ÷ (I × √3)
kVAAmpsPhaseVoltage (V)Context
520.83240Small residential transformer
1520.87415Small commercial transformer
2534.78415Office building transformer
5060.14480Industrial pad-mount transformer
100120.28480Large commercial service
500601.41480Industrial substation transformer

For more complex scenarios involving power factor, see our Amps to kW calculator.

6 Solved Examples — Real-World Volts to kVA Problems

Example 1 — 240 V Residential Service Entrance

Data: V = 240, I = 100 A, single-phase.
Formula: kVA = V × I ÷ 1,000
Calculation: 240 × 100 ÷ 1,000 = 24.00 kVA

24 kVA is the maximum apparent power available from a typical 100 A, 240 V US residential service. The utility transformer serving this home must be rated at least 25 kVA (the next standard size) to avoid overloading.

Example 2 — 220 V Single-Phase Commercial Load

Data: V = 220, I = 45 A, single-phase.
Formula: kVA = V × I ÷ 1,000
Calculation: 220 × 45 ÷ 1,000 = 9.90 kVA

9.90 kVA — you would specify a 10 kVA single-phase transformer. This load is typical of a small retail store with lighting, a POS system, and a small A/C unit.

Example 3 — 415 V Three-Phase Industrial Motor

Data: V = 415, I = 55 A, three-phase.
Formula: kVA = V × I × √3 ÷ 1,000
Calculation: 415 × 55 × 1.732 ÷ 1,000 = 39.53 kVA

39.53 kVA of apparent power. If the motor operates at PF 0.85, the real power is 39.53 × 0.85 = 33.60 kW. You would size the motor feeder transformer at the next standard step: 50 kVA.

Example 4 — 480 V Data Center UPS

Data: V = 480, I = 150 A, three-phase.
Formula: kVA = V × I × √3 ÷ 1,000
Calculation: 480 × 150 × 1.732 ÷ 1,000 = 124.70 kVA

124.70 kVA — a standard 150 kVA UPS module covers this load with a 20% headroom margin. Data center best practice per Uptime Institute recommends 20–30% spare capacity for future growth and redundancy.

Example 5 — 380 V Three-Phase Compressor

Data: V = 380, I = 80 A, three-phase.
Formula: kVA = V × I × √3 ÷ 1,000
Calculation: 380 × 80 × 1.732 ÷ 1,000 = 52.65 kVA

52.65 kVA of apparent power drawn by a large screw compressor. This figure goes on the load schedule for transformer sizing. At PF 0.87, the real consumption is 52.65 × 0.87 = 45.81 kW.

Example 6 — 240 V Generator Sizing

Data: V = 240, I = 83 A, three-phase.
Formula: kVA = V × I × √3 ÷ 1,000
Calculation: 240 × 83 × 1.732 ÷ 1,000 = 34.50 kVA

34.50 kVA — a 40 kVA standby generator would cover this load. For generator sizing, always add a 25% margin for motor starting inrush: 34.50 × 1.25 = 43.13 kVA → select a 50 kVA unit for safe operation.

Volts to kVA in Transformers and UPS Sizing

Transformers and UPS systems are always rated in kVA, not kW, because the windings and core must carry the full apparent current regardless of the load’s power factor. Here is how the volts-to-kVA conversion fits into real equipment selection.

Standard transformer kVA sizes (NEMA / IEEE)

Once you calculate the kVA from your volts and amps, round up to the next standard size. The IEEE and NEMA standard transformer ratings are: 3, 5, 7.5, 10, 15, 25, 37.5, 50, 75, 100, 150, 225, 300, 500, 750, 1,000, 1,500, 2,000, 2,500 kVA. Always select the transformer that equals or exceeds your calculated kVA — never round down.

For three-phase transformers, the nameplate lists the line-to-line voltage (e.g., “480/277 V” on the primary, “208/120 V” on the secondary) and the full kVA rating. To verify the nameplate current, use kVA = V × I × √3 ÷ 1,000 with the rated voltage and the full-load amps. If the calculated kVA matches the nameplate, the transformer is correctly sized. If your measured current exceeds the nameplate value, the transformer is overloaded — a common cause of premature insulation failure and shortened transformer life.

For UPS sizing, the same formula applies. A UPS rated at 100 kVA / 90 kW can deliver 100 kVA of apparent power (or 90 kW of real power at PF 0.9). To check if the UPS fits your load, measure volts and amps at the output, convert to kVA, and compare against the UPS rating. For more on this topic, see our UPS Sizing Calculator.

When sizing transformers with growth capacity, add 20–30% margin above the calculated kVA to account for future load additions. Use our Transformer kVA Sizing Calculator for a detailed load-based approach.

Quick Equivalences

220 Volts to kVA

1φ, 30 A → 6.60 kVA

Common residential/commercial voltage. At 30 A single-phase: 220 × 30 ÷ 1,000 = 6.60 kVA. Adjust proportionally for other amp values.

240 Volts to kVA

1φ, 30 A → 7.20 kVA

US split-phase voltage. 240 × 30 ÷ 1,000 = 7.20 kVA. For three-phase at the same amps: 240 × 30 × 1.732 ÷ 1,000 = 12.47 kVA.

Volt to kVA (General)

kVA = V × A ÷ 1,000 (1φ)

Voltage alone cannot give you kVA — you always need amperes. Then divide by 1,000 to convert VA to kVA.

Volts to kVA Calculator

Use the tool above

Enter voltage, amps, and select single- or three-phase. The result updates instantly. Supports all standard voltages.

30 A to kVA

Depends on voltage

At 240 V 1φ: 7.20 kVA. At 415 V 3φ: 21.56 kVA. At 480 V 3φ: 24.94 kVA. The voltage determines the result.

VA to kVA

Divide by 1,000

1 kVA = 1,000 VA. So 5,000 VA = 5 kVA, 15,000 VA = 15 kVA. No other factor needed — purely a scale change.

Volt Amps to kVA

kVA = VA ÷ 1,000

Same as VA to kVA. If your UPS or PDU is rated 8,000 VA, that is 8 kVA.

Publicidad
">

kVA Formula 3-Phase

kVA = V × I × √3 ÷ 1,000

The √3 factor (1.732) accounts for three-phase power delivery. V is line-to-line voltage, I is line current.

Voltage to kVA Converter

Enter V + A in the calculator

Our calculator at the top of this page converts any voltage + current combination to kVA for both single-phase and three-phase.

kVA to Volts

V = kVA × 1,000 ÷ I (1φ)

Rearrange the formula to solve for voltage. For three-phase: V = kVA × 1,000 ÷ (I × √3).

FAQ — Volts to kVA Conversion

Can I convert volts to kVA without knowing the amps?

No. kVA is the product of voltage and current divided by 1,000. Without the current value, you cannot determine the apparent power. Voltage alone tells you the “electrical pressure” — it says nothing about how much current flows.

What is the formula for converting volts to kVA in three-phase?

kVA = V × I × √3 ÷ 1,000. The √3 factor (1.732) accounts for the three-phase power delivery. Example: 415 V × 30 A × 1.732 ÷ 1,000 = 21.56 kVA.

How many kVA is 240 volts at 30 amps?

7.20 kVA on single-phase (240 × 30 ÷ 1,000). On three-phase, it would be 12.47 kVA (240 × 30 × 1.732 ÷ 1,000). Always specify the phase configuration to get the correct answer.

What is the difference between kVA and kW?

kVA is apparent power (V × A ÷ 1,000), while kW is real power (V × A × PF ÷ 1,000). They are related by the power factor: kW = kVA × PF. A 100 kVA transformer at PF 0.85 delivers only 85 kW of real power. Transformers are rated in kVA because they must handle the full apparent current.

Why are transformers rated in kVA instead of kW?

Because transformer losses — copper (I²R) losses in windings and core (iron) losses in the laminations — depend on the full current, not just the “real” component. The transformer has no way to reject reactive current, so it must be sized for the total apparent power. That is why the nameplate always shows kVA, never kW.

How do I convert VA to kVA?

Divide by 1,000. 1 kVA = 1,000 VA. So 7,500 VA = 7.5 kVA. No power factor or other conversion factor is needed — “kilo” simply means one thousand.

How do I size a transformer using volts and amps?

Calculate kVA = V × I ÷ 1,000 (single-phase) or kVA = V × I × √3 ÷ 1,000 (three-phase). Then round up to the next standard NEMA/IEEE transformer size: 3, 5, 7.5, 10, 15, 25, 37.5, 50, 75, 100, 150, 225, 300, 500, 750, 1,000 kVA. Add 20–30% margin for future load growth.

What is 30 amps in kVA?

It depends on the voltage. At 240 V single-phase: 7.20 kVA. At 415 V three-phase: 21.56 kVA. At 480 V three-phase: 24.94 kVA. You must specify both voltage and phase to get a meaningful answer.

How do I convert kW to kVA?

Divide by the power factor: kVA = kW ÷ PF. For example, a 50 kW motor load at PF 0.85 requires 50 ÷ 0.85 = 58.82 kVA of apparent power — the transformer serving this motor must be rated at least 58.82 kVA (round to 75 kVA standard size).

What power factor should I assume if I do not know it?

For general mixed loads (motors + lighting + electronics), use 0.85 as a conservative assumption. For purely resistive loads (heaters, incandescent lamps), PF is 1.0 — meaning kVA equals kW. For motor-heavy loads, PF may be as low as 0.75–0.80 at partial load.

Is kVA always greater than kW?

Yes, unless PF = 1.0 (purely resistive load). For any load with inductive or capacitive reactance, kVA > kW because some portion of the apparent power is reactive. kVA equals kW only when PF = 1.0.

How are kVA and amperes related?

kVA = V × A ÷ 1,000 (single-phase). So for a given voltage, amperes and kVA are directly proportional. Double the amps at the same voltage and you double the kVA. This is why circuit breakers, which are rated in amps, can be cross-referenced to the kVA capacity of the circuit they protect.