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)

Credits

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Created by Jaffer Ahmad Khan
College Of Engineering, Pune (COEP), Pune
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Chandigarh University (CU), Punjab
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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 Unity PF Formula

​LaTeX ​Go
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 2) & 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 2) & 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 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 = ((No Load Terminal Voltage-Full Load Terminal Voltage)/No Load Terminal Voltage)*100
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