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Formula & Calculator

Transformer kVA Rating

A transformer's apparent power rating in kilovolt-amperes (kVA) is calculated by multiplying its rated voltage by its rated current, then dividing by 1000. For example, a transformer rated 400 V and 250 A has a capacity of 100 kVA. This rating tells you how much load the transformer can handle without overheating. It is independent of the power factor, unlike kW, because the transformer must carry both real and reactive power.

Power Systems Transformers

Transformer kVA Rating Calculator

Size a transformer from its apparent power: kVA = (V · I) / 1000 for single-phase, and √3 · V · I / 1000 for three-phase.

Inputs

Drag the handle (or focus it and press ↑/↓) to reorder. Scientific notation such as 1.1e4 is accepted. Pick any unit; conversion is automatic. Choose single-phase or three-phase first; for three-phase use line-to-line voltage and line current. Pick any unit; conversion is automatic.

Presets

Results

Enter values and press Calculate. Your answer will appear here.

Current vs. voltage for this rating

For a fixed kVA rating, current falls as voltage rises (I = kVA·1000 / V), a straight line on log-log axes. The dashed line is the other system type, which needs √3 times less or more current. The amber dot is your winding; the teal dot is the second winding if you entered its voltage.

What is being calculated

Transformer with primary and secondary windings A transformer with two windings on a shared core. The primary winding has voltage V1 and current I1, and the secondary has voltage V2 and current I2. The apparent power rating in kVA is the voltage times the current divided by 1000, and is nearly the same on both sides. I1 I2 V1 V2 primarysecondary kVA = V · I / 1000three-phase:kVA = √3 · V · I / 1000V₁·I₁ ≈ V₂·I₂ (apparent power is nearly equal on both windings)

Common standard ratings

SeriesCommonly available kVA ratings
US (ANSI)
IEC

Typical lists only; available sizes vary by manufacturer, region and phase type.

Full-load current, three-phase

RatingAt 400 VAt 11 kV

I = kVA · 1000 / (√3 · V). Higher voltage means proportionally lower current.

Unit conversions

QuantityConversion
Apparent power1 MVA = 1,000 kVA = 10⁶ VA
Voltage1 kV = 1,000 V
Current1 kA = 1,000 A · 1 A = 1,000 mA
Real power1 MW = 1,000 kW = 10⁶ W

Formula

kVA = (V · I) / 1000    3-phase: kVA = (√3 · V · I) / 1000
  • kVA: apparent power rating (kilovolt-amperes)
  • V: winding voltage (V); line-to-line for three-phase
  • I: winding current (A); line current for three-phase

Example: single-phase, V = 240 V and I = 50 A: kVA = 240 × 50 ÷ 1000 = 12 kVA. Three-phase, V = 400 V and I = 100 A: kVA = √3 × 400 × 100 ÷ 1000 ≈ 69.28 kVA.

Rearranged: I = kVA × 1000 / V (divide V by √3 for three-phase) and V = kVA × 1000 / I. If you know the load in kW, kVA = kW / power factor. A transformer is rated in kVA, not kW, because its heating depends on current and voltage regardless of the power factor. The calculator can add spare capacity and pick the next standard size. This is sizing guidance only: impedance, temperature rise, harmonics, inrush current, ambient conditions and local codes also affect the final choice, so confirm with a qualified engineer or the manufacturer.

References

How to Use This Tool

  1. Choose single-phase or three-phase, or pick a preset.
  2. Enter the voltage V and the current I with their units.
  3. In Advanced, find the current or voltage from a known rating, or start from the load in kW and power factor.
  4. Optionally add the second winding voltage and spare capacity.
  5. Click Calculate, then read the kVA rating, the next standard size and the chart.

What This Tool Offers

  • Basic and Advanced modes on one calculation engine
  • Single-phase and three-phase calculation with V, kV, A, kA, kVA, MVA, kW and MW units
  • Solve for kVA, current or voltage, or size from kW and power factor (Advanced)
  • Spare capacity, next standard size, loading and second-winding current (Advanced)
  • Current-vs-voltage chart and labelled transformer diagram
  • Reorderable inputs, presets and a mobile-friendly layout

Variables

Symbol Quantity Unit
kVA Transformer apparent power rating kVA
V RMS voltage (primary or secondary winding) V
I RMS current (corresponding winding) A

What it means

The kVA rating of a single‑phase transformer is the product of the primary (or secondary) voltage and current, divided by 1000: kVA = (V × I) / 1000. For a three‑phase transformer, it is kVA = (√3 × V_L × I_L) / 1000. This rating represents the apparent power the transformer can handle. It is used to size transformers for a given load. Example: A single‑phase transformer with primary voltage 440V and primary current 50A has a rating of 440 × 50 / 1000 = 22 kVA. This means it can deliver 22 kVA to the load. The actual kW output depends on the load’s power factor.

Worked example

Transformer kVA Rating – Practical Example

Real‑World
Scenario: A transformer has primary voltage 240 V and primary current 20.8 A. What is its kVA rating?
ParameterValue
V240 V
I20.8 A
FormulakVA = (V × I) / 1000
1V × I = 240 × 20.8 = 4992 VA
2kVA = 4992 / 1000 ≈ 5 kVA
Final Design 5 kVA ✓ Rating
Why: Transformer kVA rating is the product of voltage and current – it defines the maximum apparent power it can handle.

Common mistakes

Watch for unit mismatches (W vs kW, single- vs three-phase) and remember to include power factor or efficiency where the formula requires it.

Applications

Transformer kVA rating: kVA = (V × I)/1000 for single‑phase, or √3·V_L·I_L/1000 for three‑phase, gives the apparent power capacity. This is the primary rating for transformers. Engineers use it to select transformers for loads, to design substations, and to ensure capacity meets demand. Understanding kVA rating is essential for power system design.

  • Transformer selection and specification
  • Substation and distribution system design
  • Load capacity planning
  • Transformer protection and coordination
  • Educational understanding of transformer ratings