Primary Leakage Reactance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Primary Leakage Reactance = Reactance of Primary in Secondary/(Transformation Ratio^2)
XL1 = X'1/(K^2)
This formula uses 3 Variables
Variables Used
Primary Leakage Reactance - (Measured in Ohm) - Primary leakage reactance of a transformer arises from the fact that all the flux produced by one winding does not link with the other winding.
Reactance of Primary in Secondary - (Measured in Ohm) - Reactance of Primary in Secondary referred to as secondary is the Reactance of Primary winding in Secondary.
Transformation Ratio - The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage.
STEP 1: Convert Input(s) to Base Unit
Reactance of Primary in Secondary: 1.28 Ohm --> 1.28 Ohm No Conversion Required
Transformation Ratio: 1.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
XL1 = X'1/(K^2) --> 1.28/(1.2^2)
Evaluating ... ...
XL1 = 0.888888888888889
STEP 3: Convert Result to Output's Unit
0.888888888888889 Ohm --> No Conversion Required
FINAL ANSWER
0.888888888888889 0.888889 Ohm <-- Primary Leakage Reactance
(Calculation completed in 00.004 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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National Institute of Technology (NIT), Jamshedpur
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16 Reactance Calculators

Secondary Leakage Reactance given Equivalent Reactance from Primary Side
Go Reactance of Secondary in Primary = (Equivalent Reactance from Primary-Primary Leakage Reactance)*Transformation Ratio^2
Equivalent Reactance from Secondary Side given Equivalent Impedance
Go Equivalent Reactance from Secondary = sqrt(Equivalent Impedance from Secondary^2-Equivalent Resistance from Secondary^2)
Primary Leakage Reactance given Equivalent Reactance from Secondary Side
Go Primary Leakage Reactance = (Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Transformation Ratio^2
Secondary Leakage Reactance given Equivalent Reactance from Secondary Side
Go Secondary Leakage Reactance = Equivalent Reactance from Secondary-Primary Leakage Reactance*Transformation Ratio^2
Equivalent Reactance from Primary Side given Equivalent Impedance
Go Equivalent Reactance from Primary = sqrt(Equivalent Impedance from Primary^2-Equivalent Resistance from Primary^2)
Secondary Leakage Reactance given Impedance of Secondary Winding
Go Secondary Leakage Reactance = sqrt(Impedance of Secondary^2-Resistance of Secondary^2)
Primary Leakage Reactance given Impedance of Primary Winding
Go Primary Leakage Reactance = sqrt(Impedance of Primary^2-Resistance of Primary^2)
Reactance of Primary in Secondary using Equivalent Reactance from Secondary Side
Go Reactance of Primary in Secondary = Equivalent Reactance from Secondary-Secondary Leakage Reactance
Equivalent Reactance of Transformer from Secondary Side
Go Equivalent Reactance from Secondary = Secondary Leakage Reactance+Reactance of Primary in Secondary
Reactance of Secondary in Primary using Equivalent Reactance from Primary Side
Go Reactance of Secondary in Primary = Equivalent Reactance from Primary-Primary Leakage Reactance
Primary Leakage Reactance using Equivalent Reactance from Primary Side
Go Primary Leakage Reactance = Equivalent Reactance from Primary-Reactance of Secondary in Primary
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
Secondary Leakage Reactance
Go Secondary Leakage Reactance = Self Induced EMF in Secondary/Secondary Current

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

Primary Leakage Reactance Formula

Primary Leakage Reactance = Reactance of Primary in Secondary/(Transformation Ratio^2)
XL1 = X'1/(K^2)

What type of winding is used in a transformer?

In core type, we wrap the primary, and secondary windings on the outside limbs, and in shell type, we place the primary and secondary windings on the inner limbs. We use concentric type windings in core type transformer. We place a low voltage winding near the core. However, to reduce leakage reactance, windings can be interlaced.

How to Calculate Primary Leakage Reactance?

Primary Leakage Reactance calculator uses Primary Leakage Reactance = Reactance of Primary in Secondary/(Transformation Ratio^2) to calculate the Primary Leakage Reactance, The Primary Leakage Reactance formula is defined as the reactance that is in the primary winding of the transformer. its SI unit is ohms. Primary Leakage Reactance is denoted by XL1 symbol.

How to calculate Primary Leakage Reactance using this online calculator? To use this online calculator for Primary Leakage Reactance, enter Reactance of Primary in Secondary (X'1) & Transformation Ratio (K) and hit the calculate button. Here is how the Primary Leakage Reactance calculation can be explained with given input values -> 0.888889 = 1.28/(1.2^2).

FAQ

What is Primary Leakage Reactance?
The Primary Leakage Reactance formula is defined as the reactance that is in the primary winding of the transformer. its SI unit is ohms and is represented as XL1 = X'1/(K^2) or Primary Leakage Reactance = Reactance of Primary in Secondary/(Transformation Ratio^2). Reactance of Primary in Secondary referred to as secondary is the Reactance of Primary winding in Secondary & The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage.
How to calculate Primary Leakage Reactance?
The Primary Leakage Reactance formula is defined as the reactance that is in the primary winding of the transformer. its SI unit is ohms is calculated using Primary Leakage Reactance = Reactance of Primary in Secondary/(Transformation Ratio^2). To calculate Primary Leakage Reactance, you need Reactance of Primary in Secondary (X'1) & Transformation Ratio (K). With our tool, you need to enter the respective value for Reactance of Primary in Secondary & Transformation Ratio 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 Primary Leakage Reactance?
In this formula, Primary Leakage Reactance uses Reactance of Primary in Secondary & Transformation Ratio. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Primary Leakage Reactance = Equivalent Reactance from Primary-Reactance of Secondary in Primary
  • Primary Leakage Reactance = (Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Transformation Ratio^2
  • Primary Leakage Reactance = sqrt(Impedance of Primary^2-Resistance of Primary^2)
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