Transformer losses calculator

Use the no-load and rated-current load losses from the transformer test report. Move the loading point to see the squared-current effect and the equal-loss point.

Electrical power and current Updated Free, no sign-up

No-load loss1,340Load loss at rated current12,500
0%100%Loss (W)
Transformer loading50Total loss4,465
No-load: 1,340 WLoad-dependent: 3,125 W

The two loss components are equal at 32.74% load. At fixed positive power factor, this is the model's maximum-efficiency point.

Check transformer current

Example values
Manufacturer test data
kVA
W

Load-dependent loss only, not total full-load loss.

W
Operating point
%
h
currency/kWh

Total transformer loss

4,465W

50% of 1,000 kVA at power factor 0.9.

Efficiency at this load
99.02%
Loss energy over entered hours
39,113 kWh
Loss energy cost
7,823 currency units

Constant voltage, frequency and reference-temperature losses. Harmonics, cooling auxiliaries and changing temperature are not modelled. Use separate periods for a varying load.

How it’s calculated
  1. Total loss = no-load loss + rated load loss × load fraction²=1,340 + 12,500 × (50 ÷ 100)²=4,465 W
  2. Loss energy = loss power × energised hours ÷ 1000=4,465 × 8,760 ÷ 1000=39,113 kWh

No-load loss of 1,340 W plus load loss of 3,125 W gives 4,465 W in total.

Tip: For a changing load, calculate each interval and sum its loss energy. Squaring the average load usually understates losses.

Separate the two loss components

An energised transformer consumes power even when its secondary supplies no load. Its no-load loss remains approximately constant at rated voltage and frequency, while its load-dependent loss rises approximately with current squared.

Use the loss figures from the transformer test report at its stated reference temperature. The interactive curve shows how a loading change affects both total loss and efficiency. It does not authorise overload or certify regulatory efficiency.

No-load loss

P₀ = manufacturer no-load test loss

This loss remains while the transformer is energised, even at zero output. It is not multiplied by the loading percentage. De-energised periods are excluded from the entered energised hours.

Load-dependent loss

Pk = rated load loss × load fraction²

Enter the load-dependent loss measured at rated current, not the combined full-load loss. The model holds its reference temperature constant and does not estimate harmonic or auxiliary cooling losses.

Efficiency

Efficiency = output kW / (output kW + loss kW)

Output real power depends on kVA loading and power factor. The same current loading causes the same modelled loss at different power factors, but the useful real-power output changes.

Energy over time

Loss energy = loss W × hours / 1000

For a variable load, calculate each period and sum. Half the time at zero and half at full load produces more load loss than a steady 50% load. Squaring an average hides this difference.

Transformer losses examples

Manufacturer example at half load

Schneider Electric’s calculation example uses 1,340 W no-load loss and 12,500 W rated load loss. At 50% loading the load-dependent part is 3,125 W, giving 4,465 W total. At power factor 0.9, output is 450 kW and efficiency is approximately 99.018%. Over 8,760 unchanged hours, losses total 39,113.4 kWh.

Total transformer loss 4,465 W Open in the calculator

Energised with no output

Load-dependent loss falls to zero but the 1,340 W no-load loss remains. Over 8,760 hours that is 11,738.4 kWh. This is not the loss of a transformer that has been disconnected and de-energised.

Total transformer loss 1,340 W Open in the calculator

Questions about Transformer losses

Can I use the total full-load loss in the load-loss field?

No. Subtract the no-load component first if the report provides only the combined figure. Otherwise the tool counts no-load loss twice.

Why is maximum efficiency near equal core and load loss?

With fixed power factor and these constant loss coefficients, differentiation gives a maximum when the two loss components are equal. Real temperature, harmonics and auxiliary loads can move the operating optimum.

Can I enter average annual loading?

Only if you accept a constant-load approximation. For a variable profile, sum the losses of its separate time intervals. The mean of current squared is generally greater than the square of mean current.

Does this establish transformer temperature rise?

No. Watts of loss are a heat source, but temperature rise also depends on cooling, enclosure, ambient conditions and thermal time constants. Use manufacturer thermal data for that assessment.

Limits of this result

  • Assumes rated voltage and frequency, sinusoidal current and the test report reference temperature. Temperature-dependent resistance, harmonics and cooling auxiliaries are excluded.
  • The example loss figures come from a manufacturer calculation example, not the performance of every 1,000 kVA transformer. Use your own test report.
  • Hours are all at the selected load while energised. De-energised hours have no core loss in this model. The energy rate uses your currency consistently and adds no tax or fixed charges.

Related guides

Sources

  1. Transformer heat loss at percentage loads (opens in a new tab) Schneider Electric, FA132857, updated October 2024
  2. Obtaining transformer loss-test data (opens in a new tab) Schneider Electric, FA100136, updated October 2024