Percentage Regulation of Transformer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Percentage Regulation of Transformer = ((No Load Terminal Voltage-Full Load Terminal Voltage)/No Load Terminal Voltage)*100
% = ((Vno-load-Vfull-load)/Vno-load)*100
This formula uses 3 Variables
Variables Used
Percentage Regulation of Transformer - The Percentage Regulation of Transformer is the percentage change in the output voltage from no-load to full-load.
No Load Terminal Voltage - (Measured in Volt) - No load terminal voltage is the no load voltage when zero current is drawn from the supply. The terminal voltage is equal to zero when there is no load in the electric circuit.
Full Load Terminal Voltage - (Measured in Volt) - Full load terminal voltage is defined as When full load current is drawn, the terminal voltage is called full load voltage.
STEP 1: Convert Input(s) to Base Unit
No Load Terminal Voltage: 288.1 Volt --> 288.1 Volt No Conversion Required
Full Load Terminal Voltage: 54.29 Volt --> 54.29 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
% = ((Vno-load-Vfull-load)/Vno-load)*100 --> ((288.1-54.29)/288.1)*100
Evaluating ... ...
% = 81.1558486636585
STEP 3: Convert Result to Output's Unit
81.1558486636585 --> No Conversion Required
FINAL ANSWER
81.1558486636585 81.15585 <-- Percentage Regulation of Transformer
(Calculation completed in 00.004 seconds)

Credits

Created by Satyajit Dan
Guru Nanak Institute Of Technology (GNIT), Kolkata
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University School of Chemical Technology-USCT (GGSIPU), New Delhi
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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

Percentage Regulation of Transformer Formula

Percentage Regulation of Transformer = ((No Load Terminal Voltage-Full Load Terminal Voltage)/No Load Terminal Voltage)*100
% = ((Vno-load-Vfull-load)/Vno-load)*100

What are power transformers?

A power transformer is a static machine used for transforming power from one circuit to another without changing the frequency. As there is no rotating or moving parts, a transformer is classified as a static device. Transformer operates on an AC supply. Transformers operate based on the principle of mutual induction.

How to Calculate Percentage Regulation of Transformer?

Percentage Regulation of Transformer calculator uses Percentage Regulation of Transformer = ((No Load Terminal Voltage-Full Load Terminal Voltage)/No Load Terminal Voltage)*100 to calculate the Percentage Regulation of Transformer, The Percentage regulation of transformer formula is defined as The voltage regulation of the transformer, the percentage change in the output voltage from no-load to full-load. And since power factor is a determining factor in the secondary voltage, power factor influences voltage regulation. This means the voltage regulation of a transformer is a dynamic, load-dependent number. Percentage Regulation of Transformer is denoted by % symbol.

How to calculate Percentage Regulation of Transformer using this online calculator? To use this online calculator for Percentage Regulation of Transformer, enter No Load Terminal Voltage (Vno-load) & Full Load Terminal Voltage (Vfull-load) and hit the calculate button. Here is how the Percentage Regulation of Transformer calculation can be explained with given input values -> 81.15585 = ((288.1-54.29)/288.1)*100.

FAQ

What is Percentage Regulation of Transformer?
The Percentage regulation of transformer formula is defined as The voltage regulation of the transformer, the percentage change in the output voltage from no-load to full-load. And since power factor is a determining factor in the secondary voltage, power factor influences voltage regulation. This means the voltage regulation of a transformer is a dynamic, load-dependent number and is represented as % = ((Vno-load-Vfull-load)/Vno-load)*100 or Percentage Regulation of Transformer = ((No Load Terminal Voltage-Full Load Terminal Voltage)/No Load Terminal Voltage)*100. No load terminal voltage is the no load voltage when zero current is drawn from the supply. The terminal voltage is equal to zero when there is no load in the electric circuit & Full load terminal voltage is defined as When full load current is drawn, the terminal voltage is called full load voltage.
How to calculate Percentage Regulation of Transformer?
The Percentage regulation of transformer formula is defined as The voltage regulation of the transformer, the percentage change in the output voltage from no-load to full-load. And since power factor is a determining factor in the secondary voltage, power factor influences voltage regulation. This means the voltage regulation of a transformer is a dynamic, load-dependent number is calculated using Percentage Regulation of Transformer = ((No Load Terminal Voltage-Full Load Terminal Voltage)/No Load Terminal Voltage)*100. To calculate Percentage Regulation of Transformer, you need No Load Terminal Voltage (Vno-load) & Full Load Terminal Voltage (Vfull-load). With our tool, you need to enter the respective value for No Load Terminal Voltage & Full Load Terminal Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Percentage Regulation of Transformer?
In this formula, Percentage Regulation of Transformer uses No Load Terminal Voltage & Full Load Terminal Voltage. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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
  • 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
  • Percentage Regulation of Transformer = ((Secondary Current*Resistance of Secondary*cos(Secondary Power Factor Angle))/Secondary Voltage)*100
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