Primary Leakage Reactance given Equivalent Reactance from Secondary Side Calculator

✖The Equivalent Reactance from Secondary side is the total Reactance of the Secondary side.ⓘ Equivalent Reactance from Secondary [X₀₂]			+10% -10%
✖Secondary leakage reactance of a transformer arises from the fact that all the flux produced by one winding does not link with the other winding.ⓘ Secondary Leakage Reactance [X_L2]			+10% -10%
✖The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage.ⓘ Transformation Ratio [K]			+10% -10%

✖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.ⓘ Primary Leakage Reactance given Equivalent Reactance from Secondary Side [X_L1]

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Formula

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Primary Leakage Reactance given Equivalent Reactance from Secondary Side

Formula

`"X"_{"L1"} = ("X"_{"02"}-"X"_{"L2"})/"K"^2`

Example

`"0.888889Ω"=("2.23Ω"-"0.95Ω")/("1.2")^2`

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Primary Leakage Reactance given Equivalent Reactance from Secondary Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

Primary Leakage Reactance = (Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Transformation Ratio^2
X_L1 = (X₀₂-X_L2)/K^2
This formula uses 4 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.
Equivalent Reactance from Secondary - (Measured in Ohm) - The Equivalent Reactance from Secondary side is the total Reactance of the Secondary side.
Secondary Leakage Reactance - (Measured in Ohm) - Secondary leakage reactance of a transformer arises from the fact that all the flux produced by one winding does not link with the other winding.
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

Equivalent Reactance from Secondary: 2.23 Ohm --> 2.23 Ohm No Conversion Required
Secondary Leakage Reactance: 0.95 Ohm --> 0.95 Ohm No Conversion Required
Transformation Ratio: 1.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_L1 = (X₀₂-X_L2)/K^2 --> (2.23-0.95)/1.2^2

Evaluating ... ...

X_L1 = 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)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

Primary Leakage Reactance given Equivalent Reactance from Secondary Side Formula

Primary Leakage Reactance = (Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Transformation Ratio^2
X_L1 = (X₀₂-X_L2)/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 given Equivalent Reactance from Secondary Side?

Primary Leakage Reactance given Equivalent Reactance from Secondary Side calculator uses Primary Leakage Reactance = (Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Transformation Ratio^2 to calculate the Primary Leakage Reactance, The Primary Leakage Reactance given Equivalent Reactance From Secondary Side formula is defined as the reactance that is in the primary winding. Primary Leakage Reactance is denoted by X_L1 symbol.

How to calculate Primary Leakage Reactance given Equivalent Reactance from Secondary Side using this online calculator? To use this online calculator for Primary Leakage Reactance given Equivalent Reactance from Secondary Side, enter Equivalent Reactance from Secondary (X₀₂), Secondary Leakage Reactance (X_L2) & Transformation Ratio (K) and hit the calculate button. Here is how the Primary Leakage Reactance given Equivalent Reactance from Secondary Side calculation can be explained with given input values -> 0.888889 = (2.23-0.95)/1.2^2.

FAQ

What is Primary Leakage Reactance given Equivalent Reactance from Secondary Side?

The Primary Leakage Reactance given Equivalent Reactance From Secondary Side formula is defined as the reactance that is in the primary winding and is represented as X_L1 = (X₀₂-X_L2)/K^2 or Primary Leakage Reactance = (Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Transformation Ratio^2. The Equivalent Reactance from Secondary side is the total Reactance of the Secondary side, Secondary leakage reactance of a transformer arises from the fact that all the flux produced by one winding does not link with the other winding & The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage.

How to calculate Primary Leakage Reactance given Equivalent Reactance from Secondary Side?

The Primary Leakage Reactance given Equivalent Reactance From Secondary Side formula is defined as the reactance that is in the primary winding is calculated using Primary Leakage Reactance = (Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Transformation Ratio^2. To calculate Primary Leakage Reactance given Equivalent Reactance from Secondary Side, you need Equivalent Reactance from Secondary (X₀₂), Secondary Leakage Reactance (X_L2) & Transformation Ratio (K). With our tool, you need to enter the respective value for Equivalent Reactance from Secondary, Secondary Leakage Reactance & 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 Equivalent Reactance from Secondary, Secondary Leakage Reactance & 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 = sqrt(Impedance of Primary^2-Resistance of Primary^2)
Primary Leakage Reactance = Reactance of Primary in Secondary/(Transformation Ratio^2)

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