Voltage Regulation at Leading 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 ... ...
% = 80.0809404719368
STEP 3: Convert Result to Output's Unit
80.0809404719368 --> No Conversion Required
FINAL ANSWER
80.0809404719368 80.08094 <-- 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
Jaffer Ahmad Khan has created this Calculator and 10+ more calculators!
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Verified by Parminder Singh
Chandigarh University (CU), Punjab
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Primary Leakage Reactance
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Efficiency and Regulation Calculators

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Percentage All Day Efficiency of Transformer
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Voltage Regulation at Leading PF Formula

​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
% = ((I2*R2*cos(φ2)-I2*X2*sin(φ2))/V2)*100

How is magnetic leakage reduced ?

The magnetic leakage is reduced to a minimum by sectionalizing & interleaving the primary and secondary windings .

How to Calculate Voltage Regulation at Leading PF?

Voltage Regulation at Leading 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 Leading 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 Leading PF using this online calculator? To use this online calculator for Voltage Regulation at Leading PF, enter Secondary Current (I2), Resistance of Secondary (R2), Secondary Power Factor Angle 2), Secondary Reactance (X2) & Secondary Voltage (V2) and hit the calculate button. Here is how the Voltage Regulation at Leading PF calculation can be explained with given input values -> 80.08094 = ((10.5*25.9*cos(0.5235987755982)-10.5*0.93*sin(0.5235987755982))/288)*100.

FAQ

What is Voltage Regulation at Leading PF?
Voltage Regulation at Leading 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 Leading PF?
Voltage Regulation at Leading 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 Leading PF, you need Secondary Current (I2), Resistance of Secondary (R2), Secondary Power Factor Angle 2), 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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