Formula & Calculator

Transformer kVA Rating

Calculates a transformer's apparent power rating from its rated voltage and current.

Power SystemsTransformers

Transformer kVA Rating Calculator kVA = (V · I) / 1000

kVA = (V · I) / 1000
kVA = apparent power (kilovolt‑amperes)  ·  V = voltage (V)  ·  I = current (A)
⟹ Solve kVA, V, I
kVA
V
A
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Presets:
kVA Rating
kVA: V: I: VA:
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kVA Rating
Small (< 10 kVA) Medium (10–100 kVA) Large (> 100 kVA)
kVA = (V · I) / 1000  ·  Single‑phase transformer kVA rating. 1 kVA = 1000 VA.

Variables

SymbolQuantityUnit
kVATransformer apparent power ratingkVA
VRMS voltage (primary or secondary winding)V
IRMS 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