Voltage Regulation at Lagging 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 Reactance side is the total reactance of secondary winding.ⓘ Secondary Reactance [X₂]			+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 Lagging PF [%]

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Voltage Regulation at Lagging PF Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
% = ((I₂*R₂*cos(φ₂)+I₂*X₂*sin(φ₂))/V₂)*100
This formula uses 2 Functions, 6 Variables

Functions Used

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., sin(Angle)
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 Reactance - (Measured in Ohm) - Secondary Reactance side is the total reactance of secondary winding.
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 Reactance: 0.93 Ohm --> 0.93 Ohm No Conversion Required
Secondary Voltage: 288 Volt --> 288 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

% = ((I₂*R₂*cos(φ₂)+I₂*X₂*sin(φ₂))/V₂)*100 --> ((10.5*25.9*cos(0.5235987755982)+10.5*0.93*sin(0.5235987755982))/288)*100

Evaluating ... ...

% = 83.4715654719368

STEP 3: Convert Result to Output's Unit

83.4715654719368 --> No Conversion Required

FINAL ANSWER

83.4715654719368 ≈ 83.47157 <-- 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

Parminder Singh has verified this Calculator and 500+ more calculators!

< Transformer Circuit Calculators

Equivalent Reactance of Transformer from Secondary Side

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

Equivalent Reactance of Transformer from Primary Side

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

Primary Leakage Reactance

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

Reactance of Primary Winding in Secondary

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

< Efficiency and Regulation Calculators

Voltage Regulation at Lagging PF

LaTeX 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

Percentage Regulation of Transformer

LaTeX Go Percentage Regulation of Transformer = ((No Load Terminal Voltage-Full Load Terminal Voltage)/No Load Terminal Voltage)*100

Utilisation Factor of Transformer Core

LaTeX Go Utilisation Factor of Transformer Core = Net Cross Sectional Area/Total Cross Sectional Area

Percentage All Day Efficiency of Transformer

LaTeX Go All Day Efficiency = ((Output Energy)/(Input Energy))*100

Voltage Regulation at Lagging PF Formula

LaTeX Go

What are the essential parts of a transformer ?

The essential parts are as follows :- a)Magnetic circuit consisting of laminated iron core and clamping structures. b)Primary winding . c)Secondary winding . d)Tank filled with insulating oil . e)H.T terminals with bushing . f)L.T terminals with bushing . g)Conservator tank. h)Breather. i)Vent pipe . j)WTI ( Winding Temperature Indicator ) & OTI ( Oil Temperature Indicator). k)Radiator.

How to Calculate Voltage Regulation at Lagging PF?

Voltage Regulation at Lagging PF calculator 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 calculate 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 calculate Voltage Regulation at Lagging PF using this online calculator? To use this online calculator 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. Here is how the Voltage Regulation at Lagging PF calculation can be explained with given input values -> 83.47157 = ((10.5*25.9*cos(0.5235987755982)+10.5*0.93*sin(0.5235987755982))/288)*100.

FAQ

What is Voltage Regulation at Lagging PF?

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 and is represented as % = ((I₂*R₂*cos(φ₂)+I₂*X₂*sin(φ₂))/V₂)*100 or 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. 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 Reactance side is the total reactance of secondary winding & 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 Lagging PF?

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 is calculated using 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 calculate Voltage Regulation at Lagging PF, you need Secondary Current (I₂), Resistance of Secondary (R₂), Secondary Power Factor Angle (φ₂), Secondary Reactance (X₂) & Secondary Voltage (V₂). With our tool, you need to enter the respective value for Secondary Current, Resistance of Secondary, Secondary Power Factor Angle, Secondary Reactance & 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 Reactance & Secondary 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 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

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