Voltage Regulation at Unity PF Calculator

✖Secondary Current is the current which is flows in the secondary winding of transformer.ⓘ Secondary Current [I₂]			+10% -10%
✖Resistance of Secondary Winding is the resistance of secondary winding.ⓘ Resistance of Secondary [R₂]			+10% -10%
✖Secondary Power Factor Angle is the angle between secondary current and voltage. Power factor is defined as the cosine of the angle between voltage and current.ⓘ Secondary Power Factor Angle [φ₂]			+10% -10%
✖Secondary Voltage is defined as the voltage on the secondary side of a transformer or the side at which load is connected.ⓘ Secondary Voltage [V₂]			+10% -10%

✖The Percentage Regulation of Transformer is the percentage change in the output voltage from no-load to full-load.ⓘ Voltage Regulation at Unity PF [%]

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Formula

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Voltage Regulation at Unity PF

Formula

`"%" = (("I"_{"2"}*"R"_{"2"}*cos("φ"_{"2"}))/"V"_{"2"})*100`

Example

`"81.77625"=(("10.5A"*"25.90Ω"*cos("30°"))/"288V")*100`

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Voltage Regulation at Unity PF Solution

STEP 0: Pre-Calculation Summary

Formula Used

Percentage Regulation of Transformer = ((Secondary Current*Resistance of Secondary*cos(Secondary Power Factor Angle))/Secondary Voltage)*100
% = ((I₂*R₂*cos(φ₂))/V₂)*100
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

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.
Secondary Current - (Measured in Ampere) - Secondary Current is the current which is flows in the secondary winding of transformer.
Resistance of Secondary - (Measured in Ohm) - Resistance of Secondary Winding is the resistance of secondary winding.
Secondary Power Factor Angle - (Measured in Radian) - Secondary Power Factor Angle is the angle between secondary current and voltage. Power factor is defined as the cosine of the angle between voltage and current.
Secondary Voltage - (Measured in Volt) - Secondary Voltage is defined as the voltage on the secondary side of a transformer or the side at which load is connected.

STEP 1: Convert Input(s) to Base Unit

Secondary Current: 10.5 Ampere --> 10.5 Ampere No Conversion Required
Resistance of Secondary: 25.9 Ohm --> 25.9 Ohm No Conversion Required
Secondary Power Factor Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Secondary Voltage: 288 Volt --> 288 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

% = ((I₂*R₂*cos(φ₂))/V₂)*100 --> ((10.5*25.9*cos(0.5235987755982))/288)*100

Evaluating ... ...

% = 81.7762529719368

STEP 3: Convert Result to Output's Unit

81.7762529719368 --> No Conversion Required

FINAL ANSWER

81.7762529719368 ≈ 81.77625 <-- Percentage Regulation of Transformer

(Calculation completed in 00.004 seconds)

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Credits

Created by Jaffer Ahmad Khan

College Of Engineering, Pune (COEP), Pune

Jaffer Ahmad Khan has created this Calculator and 10+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

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< 25 Transformer Circuit Calculators

EMF Induced in Secondary Winding

Go EMF Induced in Secondary = 4.44*Number of Turns in Secondary*Supply Frequency*Area of Core*Maximum Flux Density

EMF Induced in Primary Winding

Go EMF Induced in Primary = 4.44*Number of Turns in Primary*Supply Frequency*Area of Core*Maximum Flux Density

Equivalent Impedance of Transformer from Secondary Side

Go Equivalent Impedance from Secondary = sqrt(Equivalent Resistance from Secondary^2+Equivalent Reactance from Secondary^2)

Equivalent Impedance of Transformer from Primary Side

Go Equivalent Impedance from Primary = sqrt(Equivalent Resistance from Primary^2+Equivalent Reactance from Primary^2)

Equivalent Resistance from Secondary Side

Go Equivalent Resistance from Secondary = Resistance of Secondary+Resistance of Primary*Transformation Ratio^2

Equivalent Resistance from Primary Side

Go Equivalent Resistance from Primary = Resistance of Primary+Resistance of Secondary/Transformation Ratio^2

P.U. Primary Resistance Drop

Go P U Primary Resistance drop = (Primary Current*Equivalent Resistance from Primary)/EMF Induced in Primary

Terminal Voltage during No Load

Go No Load Terminal Voltage = (Primary Voltage*Number of Turns in Secondary)/Number of Turns in Primary

Transformation Ratio given Secondary Leakage Reactance

Go Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary)

Transformation Ratio given Primary Leakage Reactance

Go Transformation Ratio = sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance)

Equivalent Reactance of Transformer from Secondary Side

Go Equivalent Reactance from Secondary = Secondary Leakage Reactance+Reactance of Primary in Secondary

Equivalent Reactance of Transformer from Primary Side

Go Equivalent Reactance from Primary = Primary Leakage Reactance+Reactance of Secondary in Primary

Reactance of Secondary Winding in Primary

Go Reactance of Secondary in Primary = Secondary Leakage Reactance/(Transformation Ratio^2)

Primary Leakage Reactance

Go Primary Leakage Reactance = Reactance of Primary in Secondary/(Transformation Ratio^2)

Reactance of Primary Winding in Secondary

Go Reactance of Primary in Secondary = Primary Leakage Reactance*Transformation Ratio^2

Resistance of Secondary Winding in Primary

Go Resistance of Secondary in Primary = Resistance of Secondary/Transformation Ratio^2

Secondary Winding Resistance

Go Resistance of Secondary = Resistance of Secondary in Primary*Transformation Ratio^2

Primary Winding Resistance

Go Resistance of Primary = Resistance of Primary in Secondary/(Transformation Ratio^2)

Resistance of Primary Winding in Secondary

Go Resistance of Primary in Secondary = Resistance of Primary*Transformation Ratio^2

Transformation Ratio given Primary and Secondary Number of Turns

Go Transformation Ratio = Number of Turns in Secondary/Number of Turns in Primary

Secondary Leakage Reactance

Go Secondary Leakage Reactance = Self Induced EMF in Secondary/Secondary Current

Transformation Ratio given Primary and Secondary Current

Go Transformation Ratio = Primary Current/Secondary Current

Transformation Ratio given Primary and Secondary Voltage

Go Transformation Ratio = Secondary Voltage/Primary Voltage

Secondary Voltage given Voltage Transformation Ratio

Go Secondary Voltage = Primary Voltage*Transformation Ratio

Primary Voltage given Voltage Transformation Ratio

Go Primary Voltage = Secondary Voltage/Transformation Ratio

< 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

Voltage Regulation at Unity PF Formula

Percentage Regulation of Transformer = ((Secondary Current*Resistance of Secondary*cos(Secondary Power Factor Angle))/Secondary Voltage)*100
% = ((I₂*R₂*cos(φ₂))/V₂)*100

What material is used for the cores of a transformer and why ?

Lamination of specially alloyed silicon steel (silicon content 4 to 5%) are used due to its high electrical resistance ,high permeability non-ageing characteristics and minimum iron loss .

How to Calculate Voltage Regulation at Unity PF?

Voltage Regulation at Unity PF calculator uses Percentage Regulation of Transformer = ((Secondary Current*Resistance of Secondary*cos(Secondary Power Factor Angle))/Secondary Voltage)*100 to calculate the Percentage Regulation of Transformer, Voltage Regulation at Unity PF is a measure of change in the voltage magnitude between the sending and receiving end of a component. It is commonly used in power engineering to describe the percentage voltage difference between no load and full load voltages distribution lines, transmission lines, and transformers. Percentage Regulation of Transformer is denoted by % symbol.

How to calculate Voltage Regulation at Unity PF using this online calculator? To use this online calculator for Voltage Regulation at Unity PF, enter Secondary Current (I₂), Resistance of Secondary (R₂), Secondary Power Factor Angle (φ₂) & Secondary Voltage (V₂) and hit the calculate button. Here is how the Voltage Regulation at Unity PF calculation can be explained with given input values -> 81.77625 = ((10.5*25.9*cos(0.5235987755982))/288)*100.

FAQ

What is Voltage Regulation at Unity PF?

Voltage Regulation at Unity PF is a measure of change in the voltage magnitude between the sending and receiving end of a component. It is commonly used in power engineering to describe the percentage voltage difference between no load and full load voltages distribution lines, transmission lines, and transformers and is represented as % = ((I₂*R₂*cos(φ₂))/V₂)*100 or Percentage Regulation of Transformer = ((Secondary Current*Resistance of Secondary*cos(Secondary Power Factor Angle))/Secondary Voltage)*100. Secondary Current is the current which is flows in the secondary winding of transformer, Resistance of Secondary Winding is the resistance of secondary winding, Secondary Power Factor Angle is the angle between secondary current and voltage. Power factor is defined as the cosine of the angle between voltage and current & Secondary Voltage is defined as the voltage on the secondary side of a transformer or the side at which load is connected.

How to calculate Voltage Regulation at Unity PF?

Voltage Regulation at Unity PF is a measure of change in the voltage magnitude between the sending and receiving end of a component. It is commonly used in power engineering to describe the percentage voltage difference between no load and full load voltages distribution lines, transmission lines, and transformers is calculated using Percentage Regulation of Transformer = ((Secondary Current*Resistance of Secondary*cos(Secondary Power Factor Angle))/Secondary Voltage)*100. To calculate Voltage Regulation at Unity PF, you need Secondary Current (I₂), Resistance of Secondary (R₂), Secondary Power Factor Angle (φ₂) & Secondary Voltage (V₂). With our tool, you need to enter the respective value for Secondary Current, Resistance of Secondary, Secondary Power Factor Angle & Secondary 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 Secondary Current, Resistance of Secondary, Secondary Power Factor Angle & Secondary Voltage. We can use 5 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 = ((No Load Terminal Voltage-Full Load Terminal Voltage)/No Load Terminal 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 Current*Secondary Reactance*sin(Secondary Power Factor Angle))/Secondary Voltage)*100

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