Primary Leakage Reactance Calculator

✖Reactance of Primary in Secondary referred to as secondary is the Reactance of Primary winding in Secondary.ⓘ Reactance of Primary in Secondary [X'₁]			+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 [X_L1]

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Formula

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Primary Leakage Reactance

Formula

X L1 = \frac{X' 1}{K^{2}}

Example

0.888889 Ω = \frac{1.28 Ω}{{1.2}^{2}}

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Primary Leakage Reactance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Primary Leakage Reactance = Reactance of Primary in Secondary/(Transformation Ratio^2)
X_L1 = 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

X_L1 = X'₁/(K^2) --> 1.28/(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 00.021 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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National Institute of Technology (NIT), Jamshedpur

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< Reactance Calculators

Secondary Leakage Reactance given Equivalent Reactance from Secondary Side

Go Secondary Leakage Reactance = Equivalent Reactance from Secondary-Primary Leakage Reactance*Transformation Ratio^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

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

< Transformer Circuit Calculators

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

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

Primary Leakage Reactance Formula

Primary Leakage Reactance = Reactance of Primary in Secondary/(Transformation Ratio^2)
X_L1 = 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 X_L1 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 X_L1 = 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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