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Voltage Regulation at Lagging PF Formula

GoPercentage Regulation of Transformer Formula

GoVoltage Regulation at Leading PF Formula

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The Percentage Regulation of Transformer is the percentage change in the output voltage from no-load to full-load. Check FAQs

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

% - Percentage Regulation of Transformer?I₂ - Secondary Current?R₂ - Resistance of Secondary?φ₂ - Secondary Power Factor Angle?X₂ - Secondary Reactance?V₂ - Secondary Voltage?

Voltage Regulation at Lagging PF Example

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Here is how the Voltage Regulation at Lagging PF equation looks like with Values.

Here is how the Voltage Regulation at Lagging PF equation looks like with Units.

Here is how the Voltage Regulation at Lagging PF equation looks like.

83.4716 = (\frac{10.5 \cdot 25.9 \cdot \cos (30) + 10.5 \cdot 0.93 \cdot \sin (30)}{288}) \cdot 100

83.4716 = (\frac{10.5A \cdot 25.9Ω \cdot \cos (30°) + 10.5A \cdot 0.93Ω \cdot \sin (30°)}{288V}) \cdot 100

83.4716 = (\frac{10.5 \cdot 25.9 \cdot \cos (30) + 10.5 \cdot 0.93 \cdot \sin (30)}{288}) \cdot 100

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Voltage Regulation at Lagging PF Solution

Follow our step by step solution on how to calculate Voltage Regulation at Lagging PF?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

% = (\frac{10.5A \cdot 25.9Ω \cdot \cos (30°) + 10.5A \cdot 0.93Ω \cdot \sin (30°)}{288V}) \cdot 100

Next Step Convert Units

∴

% = (\frac{10.5A \cdot 25.9Ω \cdot \cos (0.5236rad) + 10.5A \cdot 0.93Ω \cdot \sin (0.5236rad)}{288V}) \cdot 100

Next Step Prepare to Evaluate

∴

% = (\frac{10.5 \cdot 25.9 \cdot \cos (0.5236) + 10.5 \cdot 0.93 \cdot \sin (0.5236)}{288}) \cdot 100

Next Step Evaluate

∴

% = 83.4715654719368

LAST Step Rounding Answer

∴

% = 83.4716

Voltage Regulation at Lagging PF Formula Elements

Variables

Functions

Percentage Regulation of Transformer

The Percentage Regulation of Transformer is the percentage change in the output voltage from no-load to full-load.

Symbol: %

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Percentage Regulation of Transformer

Secondary Current

Secondary Current is the current which is flows in the secondary winding of transformer.

Symbol: I₂

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Secondary Current

Resistance of Secondary

Resistance of Secondary Winding is the resistance of secondary winding.

Symbol: R₂

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance of Secondary

Secondary Power Factor Angle

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.

Symbol: φ₂

Measurement: AngleUnit: °

Note: Value should be between -360 to 360.

Formulas to find Secondary Power Factor Angle

Secondary Reactance

Secondary Reactance side is the total reactance of secondary winding.

Symbol: X₂

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Secondary Reactance

Secondary Voltage

Secondary Voltage is defined as the voltage on the secondary side of a transformer or the side at which load is connected.

Symbol: V₂

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Secondary Voltage

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Percentage Regulation of Transformer

Go Percentage Regulation of Transformer

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

Go Voltage Regulation at Unity PF

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

Other formulas in Transformer Circuit category

Go Percentage All Day Efficiency of Transformer

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

Go Utilisation Factor of Transformer Core

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

How to Evaluate Voltage Regulation at Lagging PF?

Voltage Regulation at Lagging PF evaluator uses 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 to evaluate the Percentage Regulation of Transformer, Voltage Regulation at Lagging 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 evaluate Voltage Regulation at Lagging PF using this online evaluator? To use this online evaluator for Voltage Regulation at Lagging PF, enter Secondary Current (I₂), Resistance of Secondary (R₂), Secondary Power Factor Angle (φ₂), Secondary Reactance (X₂) & Secondary Voltage (V₂) and hit the calculate button.

FAQs on Voltage Regulation at Lagging PF

What is the formula to find Voltage Regulation at Lagging PF?

The formula of Voltage Regulation at Lagging PF is expressed as 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. Here is an example- 83.47157 = ((10.5*25.9*cos(0.5235987755982)+10.5*0.93*sin(0.5235987755982))/288)*100.

How to calculate Voltage Regulation at Lagging PF?

With Secondary Current (I₂), Resistance of Secondary (R₂), Secondary Power Factor Angle (φ₂), Secondary Reactance (X₂) & Secondary Voltage (V₂) we can find Voltage Regulation at Lagging PF using the formula - 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. This formula also uses Sine, Cosine function(s).

What are the other ways to Calculate Percentage Regulation of Transformer?

Here are the different ways to Calculate Percentage Regulation of Transformer-

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 Voltage)*100

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Voltage Regulation at Lagging PF Formula

​GoPercentage Regulation of Transformer Formula

​GoVoltage Regulation at Leading PF Formula

Voltage Regulation at Lagging PF Example

Voltage Regulation at Lagging PF Solution

Voltage Regulation at Lagging PF Formula Elements

Other Formulas to find Percentage Regulation of Transformer

Other formulas in Transformer Circuit category

How to Evaluate Voltage Regulation at Lagging PF?

FAQs on Voltage Regulation at Lagging PF

Variable Name

GoPercentage Regulation of Transformer Formula

GoVoltage Regulation at Leading PF Formula