Transformation Ratio given Secondary Leakage Reactance Calculator

✖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 Reactance of Secondary in Primary is the reactance of secondary winding in primary.ⓘ Reactance of Secondary in Primary [X'₂]			+10% -10%

✖The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage.ⓘ Transformation Ratio given Secondary Leakage Reactance [K]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Transformer Formula PDF PDF Image

Transformation Ratio given Secondary Leakage Reactance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary)
K = sqrt(X_L2/X'₂)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Transformation Ratio - The Transformation Ratio of the transformer is used to find the relation between primary voltage and secondary voltage.
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.
Reactance of Secondary in Primary - (Measured in Ohm) - The Reactance of Secondary in Primary is the reactance of secondary winding in primary.

STEP 1: Convert Input(s) to Base Unit

Secondary Leakage Reactance: 0.95 Ohm --> 0.95 Ohm No Conversion Required
Reactance of Secondary in Primary: 0.66 Ohm --> 0.66 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = sqrt(X_L2/X'₂) --> sqrt(0.95/0.66)

Evaluating ... ...

K = 1.19974744817146

STEP 3: Convert Result to Output's Unit

1.19974744817146 --> No Conversion Required

FINAL ANSWER

1.19974744817146 ≈ 1.199747 <-- Transformation Ratio

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Machine » AC Machines » Transformer » Transformation Ratio » Transformation Ratio given Secondary Leakage Reactance

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 500+ more calculators!

< Transformation Ratio Calculators

Transformation Ratio given Equivalent Reactance from Secondary Side

LaTeX Go Transformation Ratio = sqrt((Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Primary Leakage Reactance)

Transformation Ratio given Equivalent Resistance from Secondary Side

LaTeX Go Transformation Ratio = sqrt((Equivalent Resistance from Secondary-Resistance of Secondary)/Resistance of Primary)

Transformation Ratio given Equivalent Resistance from Primary Side

LaTeX Go Transformation Ratio = sqrt(Resistance of Secondary/(Equivalent Resistance from Primary-Resistance of Primary))

Transformation Ratio given Primary and Secondary Induced Voltage

LaTeX Go Transformation Ratio = EMF Induced in Secondary/EMF Induced in Primary

< 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

Transformation Ratio given Secondary Leakage Reactance Formula

LaTeX Go

Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary)
K = sqrt(X_L2/X'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 Transformation Ratio given Secondary Leakage Reactance?

Transformation Ratio given Secondary Leakage Reactance calculator uses Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary) to calculate the Transformation Ratio, Transformation Ratio given Secondary Leakage Reactance formula is defined as the square root of Secondary Leakage Reactance and Reactance of Secondary winding in the primary. Transformation Ratio is denoted by K symbol.

How to calculate Transformation Ratio given Secondary Leakage Reactance using this online calculator? To use this online calculator for Transformation Ratio given Secondary Leakage Reactance, enter Secondary Leakage Reactance (X_L2) & Reactance of Secondary in Primary (X'₂) and hit the calculate button. Here is how the Transformation Ratio given Secondary Leakage Reactance calculation can be explained with given input values -> 1.199747 = sqrt(0.95/0.66).

FAQ

What is Transformation Ratio given Secondary Leakage Reactance?

Transformation Ratio given Secondary Leakage Reactance formula is defined as the square root of Secondary Leakage Reactance and Reactance of Secondary winding in the primary and is represented as K = sqrt(X_L2/X'₂) or Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary). 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 Reactance of Secondary in Primary is the reactance of secondary winding in primary.

How to calculate Transformation Ratio given Secondary Leakage Reactance?

Transformation Ratio given Secondary Leakage Reactance formula is defined as the square root of Secondary Leakage Reactance and Reactance of Secondary winding in the primary is calculated using Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary). To calculate Transformation Ratio given Secondary Leakage Reactance, you need Secondary Leakage Reactance (X_L2) & Reactance of Secondary in Primary (X'₂). With our tool, you need to enter the respective value for Secondary Leakage Reactance & Reactance of Secondary in Primary 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 Transformation Ratio?

In this formula, Transformation Ratio uses Secondary Leakage Reactance & Reactance of Secondary in Primary. We can use 3 other way(s) to calculate the same, which is/are as follows -

Transformation Ratio = EMF Induced in Secondary/EMF Induced in Primary
Transformation Ratio = sqrt(Resistance of Secondary/(Equivalent Resistance from Primary-Resistance of Primary))
Transformation Ratio = sqrt((Equivalent Resistance from Secondary-Resistance of Secondary)/Resistance of Primary)

Home

FREE PDFs

🔍 Search