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Utilisation Factor of Transformer Core Formula

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Utilisation Factor of Transformer Core is defined as the ratio of dc power output to the transformer Volt-Ampere (VA) rating required by the secondary winding. Check FAQs

UF = \frac{A net}{A total}

UF - Utilisation Factor of Transformer Core?A_net - Net Cross Sectional Area?A_total - Total Cross Sectional Area?

Utilisation Factor of Transformer Core Example

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Here is how the Utilisation Factor of Transformer Core equation looks like with Values.

Here is how the Utilisation Factor of Transformer Core equation looks like with Units.

Here is how the Utilisation Factor of Transformer Core equation looks like.

0.3226 = \frac{1000}{3100}

0.3226 = \frac{1000cm²}{3100cm²}

0.3226 = \frac{1000}{3100}

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Utilisation Factor of Transformer Core Solution

Follow our step by step solution on how to calculate Utilisation Factor of Transformer Core?

FIRST Step Consider the formula

UF = \frac{A net}{A total}

Next Step Substitute values of Variables

∴

UF = \frac{1000cm²}{3100cm²}

Next Step Convert Units

∴

UF = \frac{0.1m²}{0.31m²}

Next Step Prepare to Evaluate

∴

UF = \frac{0.1}{0.31}

Next Step Evaluate

∴

UF = 0.32258064516129

LAST Step Rounding Answer

∴

UF = 0.3226

Utilisation Factor of Transformer Core Formula Elements

Variables

Utilisation Factor of Transformer Core

Utilisation Factor of Transformer Core is defined as the ratio of dc power output to the transformer Volt-Ampere (VA) rating required by the secondary winding.

Symbol: UF

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Utilisation Factor of Transformer Core

Net Cross Sectional Area

Net Cross Sectional Area is to be determined from the gross cross section area minus all openings and holes for fasteners.

Symbol: A_net

Measurement: AreaUnit: cm²

Note: Value should be greater than 0.

Formulas to find Net Cross Sectional Area

Total Cross Sectional Area

Total Cross Sectional Area is the sum of all the partial cross-sections.

Symbol: A_total

Measurement: AreaUnit: cm²

Note: Value should be greater than 0.

Formulas to find Total Cross Sectional Area

Other formulas in Transformer Design category

Go Percentage Regulation of Transformer

% = (\frac{V no-load - V full-load}{V no-load}) \cdot 100

Go Percentage All Day Efficiency of Transformer

%η all day = (\frac{E out}{E in}) \cdot 100

Go Voltage Regulation at Lagging PF

% = (\frac{I 2 \cdot R 2 \cdot \cos (φ 2) + I 2 \cdot X 2 \cdot \sin (φ 2)}{V 2}) \cdot 100

Go Voltage Regulation at Leading PF

% = (\frac{I 2 \cdot R 2 \cdot \cos (φ 2) - I 2 \cdot X 2 \cdot \sin (φ 2)}{V 2}) \cdot 100

How to Evaluate Utilisation Factor of Transformer Core?

Utilisation Factor of Transformer Core evaluator uses Utilisation Factor of Transformer Core = Net Cross Sectional Area/Total Cross Sectional Area to evaluate the Utilisation Factor of Transformer Core, Utilisation Factor of Transformer Core is the ratio of effective cross sectional area to the total cross sectional area. Utilisation Factor of Transformer Core is denoted by UF symbol.

How to evaluate Utilisation Factor of Transformer Core using this online evaluator? To use this online evaluator for Utilisation Factor of Transformer Core, enter Net Cross Sectional Area (A_net) & Total Cross Sectional Area (A_total) and hit the calculate button.

FAQs on Utilisation Factor of Transformer Core

What is the formula to find Utilisation Factor of Transformer Core?

The formula of Utilisation Factor of Transformer Core is expressed as Utilisation Factor of Transformer Core = Net Cross Sectional Area/Total Cross Sectional Area. Here is an example- 0.322581 = 0.1/0.31.

How to calculate Utilisation Factor of Transformer Core?

With Net Cross Sectional Area (A_net) & Total Cross Sectional Area (A_total) we can find Utilisation Factor of Transformer Core using the formula - Utilisation Factor of Transformer Core = Net Cross Sectional Area/Total Cross Sectional Area.

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