1φ: kVA = V × I ÷ 1,000 | 3φ: kVA = V × I × √3 ÷ 1,000📊 Quick Reference Table
| V | A | Phase | kVA |
|---|---|---|---|
| 120 | 20 | 1φ | 2.40 |
| 220 | 30 | 1φ | 6.60 |
| 240 | 30 | 1φ | 7.20 |
| 415 | 30 | 3φ | 21.56 |
| 480 | 65 | 3φ | 54.03 |
❓ 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.
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.

| Voltage (V) | Current (A) | kVA (1φ) | kVA (3φ) | Typical Application |
|---|---|---|---|---|
| 120 | 15 | 1.80 | 3.12 | US residential circuit |
| 120 | 20 | 2.40 | 4.16 | US 20 A branch circuit |
| 220 | 15 | 3.30 | 5.72 | Small office load |
| 220 | 30 | 6.60 | 11.43 | Window A/C or small shop |
| 230 | 32 | 7.36 | 12.75 | EU single-phase max circuit |
| 240 | 30 | 7.20 | 12.47 | US split-phase oven / dryer |
| 240 | 50 | 12.00 | 20.78 | US sub-panel feeder |
| 380 | 30 | 11.40 | 19.75 | Small industrial motor |
| 400 | 40 | 16.00 | 27.71 | EU three-phase distribution |
| 415 | 30 | 12.45 | 21.56 | UK/India industrial motor |
| 440 | 50 | 22.00 | 38.11 | Large pump or fan motor |
| 480 | 65 | 31.20 | 54.03 | US industrial MCC feeder |
| 480 | 100 | 48.00 | 83.14 | Large VFD or transformer secondary |
| 600 | 60 | 36.00 | 62.35 | Canadian 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
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
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
- Identify the values: V = 240, I = 30 A, single-phase.
- Select the formula: kVA = V × I ÷ 1,000.
- Calculate: kVA = 240 × 30 ÷ 1,000 = 7,200 ÷ 1,000 = 7.20 kVA.
- 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
- Identify the values: V = 415, I = 30 A, three-phase.
- Select the formula: kVA = V × I × √3 ÷ 1,000.
- Calculate: kVA = 415 × 30 × 1.732 ÷ 1,000 = 21,563.4 ÷ 1,000 = 21.56 kVA.
- 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.
| Attribute | VA (volt-amps) | kVA (kilovolt-amps) | kW (kilowatts) |
|---|---|---|---|
| Measures | Apparent power | Apparent power (÷ 1,000) | Real (active) power |
| Formula (1φ) | V × I | V × I ÷ 1,000 | V × I × PF ÷ 1,000 |
| Power factor needed? | No | No | Yes |
| Sized for | Small UPS, PDUs | Transformers, generators, large UPS | Motors, heaters, load schedules |
| Relationship | 1 kVA = 1,000 VA | kVA = kW ÷ PF | kW = kVA × PF |
| Why it matters | Determines wire sizing | Determines transformer / generator size | Determines 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.
kVA to Volts — Inverse Conversion
To find the voltage when you know the kVA and the current, rearrange the formulas:
| kVA | Amps | Phase | Voltage (V) | Context |
|---|---|---|---|---|
| 5 | 20.83 | 1φ | 240 | Small residential transformer |
| 15 | 20.87 | 3φ | 415 | Small commercial transformer |
| 25 | 34.78 | 3φ | 415 | Office building transformer |
| 50 | 60.14 | 3φ | 480 | Industrial pad-mount transformer |
| 100 | 120.28 | 3φ | 480 | Large commercial service |
| 500 | 601.41 | 3φ | 480 | Industrial 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.
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).