Utilisation Factor of Transformer Core Solution

STEP 0: Pre-Calculation Summary
Formula Used
Utilisation Factor of Transformer Core = Net Cross Sectional Area/Total Cross Sectional Area
UF = Anet/Atotal
This formula uses 3 Variables
Variables Used
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.
Net Cross Sectional Area - (Measured in Square Meter) - Net Cross Sectional Area is to be determined from the gross cross section area minus all openings and holes for fasteners.
Total Cross Sectional Area - (Measured in Square Meter) - Total Cross Sectional Area is the sum of all the partial cross-sections.
STEP 1: Convert Input(s) to Base Unit
Net Cross Sectional Area: 1000 Square Centimeter --> 0.1 Square Meter (Check conversion here)
Total Cross Sectional Area: 3100 Square Centimeter --> 0.31 Square Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
UF = Anet/Atotal --> 0.1/0.31
Evaluating ... ...
UF = 0.32258064516129
STEP 3: Convert Result to Output's Unit
0.32258064516129 --> No Conversion Required
FINAL ANSWER
0.32258064516129 0.322581 <-- Utilisation Factor of Transformer Core
(Calculation completed in 00.020 seconds)

Credits

Created by Jaffer Ahmad Khan
College Of Engineering, Pune (COEP), Pune
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Chandigarh University (CU), Punjab
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19 Transformer Design Calculators

Eddy Current Loss
Go Eddy Current Loss = Eddy Current Coefficient*Maximum Flux Density^2*Supply Frequency^2*Lamination Thickness^2*Volume of Core
Hysteresis Loss
Go Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density ^Steinmetz Coefficient)*Volume of Core
Area of Core given EMF Induced in Secondary Winding
Go Area of Core = EMF Induced in Secondary/(4.44*Supply Frequency*Number of Turns in Secondary*Maximum Flux Density)
Number of Turns in Secondary Winding
Go Number of Turns in Secondary = EMF Induced in Secondary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density)
Number of Turns in Primary Winding
Go Number of Turns in Primary = EMF Induced in Primary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density)
Area of Core given EMF Induced in Primary Winding
Go Area of Core = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary*Maximum Flux Density)
Percentage Regulation of Transformer
Go Percentage Regulation of Transformer = ((No Load Terminal Voltage-Full Load Terminal Voltage)/No Load Terminal Voltage)*100
Maximum Flux in Core using Secondary Winding
Go Maximum Core Flux = EMF Induced in Secondary/(4.44*Supply Frequency*Number of Turns in Secondary)
Maximum Flux in Core using Primary Winding
Go Maximum Core Flux = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary)
Secondary Winding Resistance given Impedance of Secondary Winding
Go Resistance of Secondary = sqrt(Impedance of Secondary^2-Secondary Leakage Reactance^2)
Primary Winding Resistance given Impedance of Primary Winding
Go Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2)
EMF Induced in Primary Winding given Input Voltage
Go EMF Induced in Primary = Primary Voltage-Primary Current*Impedance of Primary
Utilisation Factor of Transformer Core
Go Utilisation Factor of Transformer Core = Net Cross Sectional Area/Total Cross Sectional Area
Stacking Factor of Transformer
Go Stacking Factor of Transformer = Net Cross Sectional Area/Gross Cross Sectional Area
Self-Induced EMF in Secondary Side
Go EMF Induced in Secondary = Secondary Leakage Reactance*Secondary Current
Self-Induced EMF in Primary Side
Go Self Induced EMF in Primary = Primary Leakage Reactance*Primary Current
Percentage All Day Efficiency of Transformer
Go All Day Efficiency = ((Output Energy)/(Input Energy))*100
Maximum Core Flux
Go Maximum Core Flux = Maximum Flux Density*Area of Core
Transformer Iron loss
Go Iron Losses = Eddy Current Loss+Hysteresis Loss

6 Efficiency & Regulation Calculators

Voltage Regulation at Lagging PF
Go Percentage Regulation of Transformer = ((Secondary Current*Resistance of Secondary*cos(Secondary Power Factor Angle)+Secondary Current*Secondary Reactance*sin(Secondary Power Factor Angle))/Secondary Voltage)*100
Voltage Regulation at Leading PF
Go Percentage Regulation of Transformer = ((Secondary Current*Resistance of Secondary*cos(Secondary Power Factor Angle)-Secondary Current*Secondary Reactance*sin(Secondary Power Factor Angle))/Secondary Voltage)*100
Voltage Regulation at Unity PF
Go Percentage Regulation of Transformer = ((Secondary Current*Resistance of Secondary*cos(Secondary Power Factor Angle))/Secondary Voltage)*100
Percentage Regulation of Transformer
Go Percentage Regulation of Transformer = ((No Load Terminal Voltage-Full Load Terminal Voltage)/No Load Terminal Voltage)*100
Utilisation Factor of Transformer Core
Go Utilisation Factor of Transformer Core = Net Cross Sectional Area/Total Cross Sectional Area
Percentage All Day Efficiency of Transformer
Go All Day Efficiency = ((Output Energy)/(Input Energy))*100

Utilisation Factor of Transformer Core Formula

Utilisation Factor of Transformer Core = Net Cross Sectional Area/Total Cross Sectional Area
UF = Anet/Atotal

What is the power factor of a transformer ?

The power factor of a transformer is very low and lagging on no load . But the power factor on load is nearly equal to the power factor of the load which it is carrying .

How to Calculate Utilisation Factor of Transformer Core?

Utilisation Factor of Transformer Core calculator uses Utilisation Factor of Transformer Core = Net Cross Sectional Area/Total Cross Sectional Area to calculate 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 calculate Utilisation Factor of Transformer Core using this online calculator? To use this online calculator for Utilisation Factor of Transformer Core, enter Net Cross Sectional Area (Anet) & Total Cross Sectional Area (Atotal) and hit the calculate button. Here is how the Utilisation Factor of Transformer Core calculation can be explained with given input values -> 0.322581 = 0.1/0.31.

FAQ

What is Utilisation Factor of Transformer Core?
Utilisation Factor of Transformer Core is the ratio of effective cross sectional area to the total cross sectional area and is represented as UF = Anet/Atotal or Utilisation Factor of Transformer Core = Net Cross Sectional Area/Total Cross Sectional Area. Net Cross Sectional Area is to be determined from the gross cross section area minus all openings and holes for fasteners & Total Cross Sectional Area is the sum of all the partial cross-sections.
How to calculate Utilisation Factor of Transformer Core?
Utilisation Factor of Transformer Core is the ratio of effective cross sectional area to the total cross sectional area is calculated using Utilisation Factor of Transformer Core = Net Cross Sectional Area/Total Cross Sectional Area. To calculate Utilisation Factor of Transformer Core, you need Net Cross Sectional Area (Anet) & Total Cross Sectional Area (Atotal). With our tool, you need to enter the respective value for Net Cross Sectional Area & Total Cross Sectional Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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