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LoadCairn / Power & UPS

Transformer sizing calculator.

Estimate transformer capacity from connected load, demand factor, power factor, and growth margin. The result updates in your browser with each input change.

Inputs

Adjust the estimate

Results update as you change a value. Calculations run in this browser.

kW
%
PF
%

Illustrative starting values: 500 kW connected load, 80% demand factor, 0.90 power factor, and 25% growth margin. Edit them for your planning scenario.

Live results

Current estimate

Recommended standard size

750 kVA

Smallest listed size at or above the calculated requirement.

Demand load

400 kW

Demand apparent power

444.44 kVA

Required capacity with growth

555.56 kVA

Estimated loading

59.26%

Formula and calculation trace

Demand kW = connected load × demand factor ÷ 100 · Demand kVA = demand kW ÷ power factor · Required kVA = demand kVA × (1 + growth margin ÷ 100)

  1. Demand kW = 500 kW × 80% ÷ 100 = 400 kW.
  2. Demand kVA = 400 kW ÷ 0.9 PF = 444.44 kVA.
  3. Required kVA = 444.44 kVA × (1 + 25% ÷ 100) = 555.56 kVA.
  4. Recommended size = smallest listed standard size at or above 555.56 kVA: 750 kVA.
  5. Loading = 444.44 kVA ÷ 750 kVA × 100 = 59.26%.

Published source: Formula and standard-size schedule supplied for this LoadCairn calculator; the schedule is not a manufacturer-specific catalog.

Assumptions and limits

  • The demand factor applies to the full connected real-power load; use a factor based on the facility load profile when known.
  • Power factor represents the combined demand load, and growth margin is applied to demand kVA.
  • The standard-size schedule is the list supplied for this calculator. Confirm availability and ratings with the selected transformer manufacturer.
  • Estimated loading uses demand kVA divided by the recommended nameplate size, without adding the growth margin to operating load.
  • This estimate does not model voltage, phase, frequency, harmonics, inrush, ambient temperature, altitude, redundancy, or code requirements.

Every result is an estimate for planning only—not a substitute for a licensed engineer's design or manufacturer data.

Planning guide / transformer-sizing

Introduction

The transformer sizing calculator turns a connected real-power load into a planning estimate of required transformer capacity. It applies an entered demand factor, divides demand kW by power factor to estimate demand kVA, adds a growth margin, and selects the smallest size in its supplied schedule that is at least as large as the calculated requirement. It is useful for comparing early load scenarios and seeing how demand, power factor, or planned growth affects the next listed size.

The tool expects connected load in kW, demand factor as a percentage, power factor as a decimal between zero and one, and growth margin as a percentage. The demand factor should represent the scenario you intend to examine, while the power factor should apply to that demand load. If the values come from different operating conditions, the resulting chain may not describe a coherent facility scenario.

The result includes estimated demand kW, apparent demand kVA, required kVA after growth, a selected schedule size when one is available, and an estimated loading percentage. The schedule is supplied for this calculator and is not a manufacturer-specific catalog. Confirm actual transformer ratings, voltage, phase, environment, protection, redundancy, and project criteria with the responsible designer and equipment data.

Method / Calculation

How it works

Demand factor reduces the connected load to the real-power demand entered for this scenario. It is entered as a percent, so the calculation divides by 100 before multiplying. A factor of 80% becomes 0.80. This step should be based on the load profile or planning assumption being used; it is not the same as power factor.

Demand kVA is calculated by dividing demand kW by power factor. Power factor is entered as a decimal such as 0.90, not as 90. Dividing by a value below one produces a kVA value above the kW value. Growth is then applied to that demand kVA by multiplying by one plus the growth percentage expressed as a fraction.

To choose a size, the calculator searches its own ascending list and returns the first listed value greater than or equal to required kVA. If the requirement is above the final listed value, it returns no listed size sufficient. Estimated loading is demand kVA divided by the recommended size, multiplied by 100; the tool does not include the growth allowance in that loading numerator.

Demand kW = connected load × demand factor ÷ 100

Demand kVA = demand kW ÷ power factor

Required kVA = demand kVA × (1 + growth margin ÷ 100)

Selected size = smallest listed schedule size ≥ required kVA

Estimated loading = demand kVA ÷ selected size × 100

  1. Enter connected real-power load in kW for the scenario. Do not enter kVA or current in this field; those quantities are derived later in the calculation.
  2. Choose a demand factor from 0 to 100%. The tool multiplies connected kW by this percentage divided by 100 to obtain demand kW.
  3. Enter a power factor greater than zero and at most one as a decimal. Divide demand kW by this number to produce demand kVA.
  4. Enter a nonnegative growth margin as a percent. Convert it to a fraction by dividing by 100, add one, and multiply that factor by demand kVA.
  5. Compare required kVA against the supplied ascending size schedule and take its smallest entry that is not below the requirement. If none qualifies, the calculator reports that no listed size is sufficient.
  6. For a listed size, divide demand kVA by that nameplate value and multiply by 100 to show estimated loading. This display uses demand kVA before growth, as stated in the calculator assumptions.

The calculator identifies its source as the formula and standard-size schedule supplied for LoadCairn, and explicitly says the schedule is not a manufacturer-specific catalog. Verify the actual catalog and ratings before selecting equipment. A listed nominal size alone does not show that the transformer matches the system voltage, phase, frequency, environment, or connection requirements.

The stated model does not include voltage, phase, frequency, harmonics, inrush, ambient temperature, altitude, redundancy, or code requirements. Those are not small print to infer from a kVA output; they are outside this calculation. Keep the entered assumptions with the result so the load estimate can be revisited when project data changes.

Calculation trace / Illustrative inputs

Fully worked example

Illustrative calculation: use the calculator’s starting scenario of 500 kW connected load, 80% demand factor, 0.90 power factor, and 25% growth margin. These are editable example values, not a measured facility load or equipment selection.

  1. Demand kW = 500 kW × 80 ÷ 100 = 400 kW.
  2. Demand kVA = 400 kW ÷ 0.90 = 444.44 kVA, approximately.
  3. Growth factor = 1 + 25 ÷ 100 = 1.25. Required kVA = 444.44 × 1.25 = 555.56 kVA, approximately.
  4. The supplied schedule includes 500 kVA followed by 750 kVA. Since 500 is below 555.56 and 750 is the next listed value, the calculator selects 750 kVA.
  5. Estimated loading = 444.44 kVA ÷ 750 kVA × 100 = about 59.3%. The loading display uses demand kVA before the growth allowance, matching the calculator’s documented method.

Illustrative result: 555.56 kVA required with growth; the next listed schedule value is 750 kVA, with an estimated loading of about 59.3%.

Estimates for planning only, not a substitute for a licensed engineer's design or manufacturer data. This example follows the supplied schedule only; it is not a product selection or capacity commitment.

Review / Input checks

Common mistakes

Questions / Planning use

Frequently asked questions

What does the demand factor do?

It multiplies connected kW by the entered percentage divided by 100 to produce demand kW. Choose a factor that represents the scenario being modeled. It is separate from power factor, which converts demand kW to apparent demand kVA.

Why is demand kVA larger than demand kW?

The calculator divides demand kW by a power factor between zero and one. When power factor is below one, the resulting apparent power in kVA is greater than the real power in kW. The entered PF should apply to the same demand load scenario.

How is the standard size selected?

The calculator searches its supplied ascending schedule and selects the smallest listed value that is at or above required kVA. The schedule is not a manufacturer-specific catalog; verify product availability, ratings, and project requirements separately.

Does the loading percentage include the growth margin?

No. Estimated loading is calculated as demand kVA divided by the recommended listed size, times 100. The growth margin is applied earlier to calculate required kVA and choose a size, but it is not included in the loading numerator.

Does this estimate cover transformer voltage or installation conditions?

No. The calculator’s stated assumptions omit voltage, phase, frequency, harmonics, inrush, ambient temperature, altitude, redundancy, and code requirements. Use manufacturer data and project-specific engineering review for those factors.

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Estimates for planning only, not a substitute for a licensed engineer’s design or manufacturer data.