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Transformer Sizing Calculator

Size a transformer (kVA) for a load.

Reviewed for accuracy by the Math Ora X team Last updated

Result

About the Transformer Sizing Calculator

Calculates the transformer kVA rating needed for a three-phase (or single-phase) load from voltage and current, then suggests the next standard size.

$$ kVA = \frac{\sqrt{3}\,V I}{1000} $$

How to use this calculator

  1. Enter the load voltage in V .
  2. Enter the load current in A .
  3. If the load is three phase, use the three phase formula shown by the calculator.
  4. Read the calculated transformer size in kVA and round up to a suitable standard rating.

The formula explained

The calculator uses kVA = \( \frac{\sqrt{3}\,VI}{1000} \) to compute apparent power for a three phase load. It tells you how much transformer capacity the load needs before any safety margin or future growth is added.

  • kVA = the apparent power rating needed for the transformer
  • V = the line voltage in volts
  • I = the line current in amperes
  • \(\sqrt{3}\) = the three phase conversion factor

Step by step method

  1. Write down the load voltage V and current I .
  2. Multiply \sqrt{3} by V and then by I .
  3. Divide the result by 1000 to convert from volt amperes to kilovolt amperes.

Worked example

Problem. Find the transformer size for a three phase load with V = 415 and I = 32 .

  1. Substitute the values into the formula, kVA = \frac{\sqrt{3}\cdot 415 \cdot 32}{1000} .
  2. Compute the numerator, \sqrt{3}\cdot 415 \cdot 32 \approx 23013.4 .
  3. Divide by 1000 , so kVA \approx 23.0 .

Answer. 23.0 kVA

Tips and common mistakes

  • Make sure you use the line voltage and line current that match the three phase formula, not phase values unless the calculator asks for them.
  • If your result is not a standard transformer size, round up to the next available rating.

Frequently asked questions

Why pick the next standard size?+

Transformers come in fixed ratings; always round up to cover the load.

Should I add margin?+

Yes, size ~25% above the calculated load for growth and inrush.

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