Transformer Sizing Calculator
Size single-phase and three-phase transformers: calculate required KVA, full load current, and select next standard size.
About this calculator
This calculator sizes a distribution transformer from a load survey: it takes your Total Load Current, applies a Demand Factor (the ratio of actual maximum simultaneous demand to total connected load — commercial lighting typically runs 0.75–0.90, general commercial mixed loads 0.70–0.85, per NEC Article 220 and IEEE Std 141), and divides by the load's Power Factor to convert real demand into apparent power in KVA, using the standard three-phase formula KVA = V × I × √3 × demand factor / (1000 × PF), or the equivalent single-phase formula without the √3 term. That Required KVA is then matched to the Next Standard Size from the industry-standard list of transformer nameplate ratings (15 KVA up through 5,000 KVA) — the smallest standard size that still covers your calculated requirement, since transformers aren't custom-wound to arbitrary KVA values.
The Percent Loading output (capped at 100% for display) tells you how hard the selected standard-size transformer will actually run at your calculated demand, which matters for both efficiency and thermal life — a transformer loaded near 100% has no headroom for load growth or short-term overloads, while one loaded well under 50% is oversized and wastes core losses. Power factor is internally floored at 0.1 to prevent divide-by-zero errors on bad input, but a power factor that low would be unrealistic for any real facility, so a reported KVA using an unusually low PF is worth double-checking against actual load data rather than trusting blindly.
Inputs
IEEE Std 141: motors 0.80–0.90; commercial mixed 0.85–0.90; resistive loads 1.0; HVAC chiller 0.85
NEC Art. 220 / IEEE Std 141: lighting 0.75–0.90; industrial 0.60–0.80; motor loads apply NEC 430.24
Results
Required KVA
156.5 kVA
Next Standard Size
167 kVA
How to Use This Calculator
- Enter the System Voltage in volts — this is the transformer's secondary (output) voltage.
- Enter the Total Load Current in amperes — sum all connected loads on the secondary.
- Set the Power Factor for the load mix: 0.80–0.95 is typical for industrial and commercial applications.
- Set the Demand Factor — the ratio of maximum expected demand to total connected load (0.6–0.9 for most applications).
- Select the Number of Phases from the dropdown (single-phase or three-phase).
- Read the Required KVA and the Next Standard Size to select the correct transformer from manufacturer catalogs, then review the Percent Loading to ensure the transformer is not oversized.
How the result changes with Power Factor
| Power Factor | Required KVA | Next Standard Size |
|---|---|---|
| 0.5 | 266.04 kVA | 300 kVA |
| 0.64 | 208.82 kVA | 225 kVA |
| 1 | 133.02 kVA | 150 kVA |
What each input means
- System Voltage
- Secondary voltage of the transformer (e.g., 208, 240, 480V).
- Total Load Current
- Total connected load current in amperes.
- Power Factor
- Load power factor. Per NEC Article 220 and IEEE Std 141 (Red Book). Typical ranges: resistive loads (heaters, incandescent) PF=1.0; fluorescent/LED with ballast 0.90–0.95; induction motors 0.80–0.90; mixed commercial 0.85–0.90.
- Demand Factor
- Ratio of maximum demand to total connected load per NEC Article 220 and IEEE Std 141. Commercial lighting: 0.75–0.90; motors (NEC 430.24): 125% of largest motor + 100% of others; general commercial 0.70–0.85; industrial 0.60–0.80.
- Number of Phases
- The electrical service phase configuration.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersSystem Voltage = 480, Total Load Current = 200, Power Factor = 0.85, Demand Factor = 0.8 = 5 input(s) provided
- Calculate Required KVARequired KVA156.5 = 156.5
- Calculate Next Standard SizeNext Standard Size167 = 167
- Calculate Full Load CurrentFull Load Current188.24 = 188.24
- Calculate Percent LoadingPercent Loading = Math85 = 85
Engine last updated . Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why is my Required KVA lower than simply multiplying voltage by current?
The formula multiplies voltage, current, and (for three-phase) √3 by the Demand Factor before dividing by power factor — the demand factor represents the ratio of actual maximum simultaneous demand to total connected load, typically 0.70–0.90 for commercial loads, so it scales the raw V×I product down to reflect that not every connected load draws its full current at the same moment.
Why does the Next Standard Size sometimes seem much larger than my Required KVA?
The calculator picks the smallest transformer from a fixed industry list of standard nameplate ratings (15 KVA up through 5,000 KVA) that is still greater than or equal to your Required KVA, since transformers aren't custom-wound to arbitrary sizes. If your requirement falls just above a standard size, the next available size can be a noticeably larger jump — for example, just over 100 KVA rounds up to 112.5 KVA.
Why is Percent Loading capped at 100% even though I entered a large load?
Percent Loading compares your actual demand current against the full load current the selected standard-size transformer can supply, but the displayed value is capped at 100% — so if your calculated demand actually exceeds the transformer's rated capacity, the calculator won't show a number above 100%; check that Required KVA doesn't exceed the Next Standard Size shown, since that would mean the transformer is undersized regardless of what Percent Loading displays.
What happens if I enter an unusually low Power Factor?
Power factor is internally floored at 0.1 to prevent divide-by-zero errors in the KVA formula, but a power factor that low is unrealistic for any real facility — resistive loads run near 1.0, motors typically 0.80–0.90, and mixed commercial loads 0.85–0.90. If you get an unexpectedly large Required KVA, double-check that your power factor input reflects real measured data rather than an extreme placeholder value.
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