Transformation Ratio 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%
✖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]			+10% -10%

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

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Formula

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Transformation Ratio given Equivalent Reactance from Secondary Side

Formula

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

Example

`"1.206045"=sqrt(("2.23Ω"-"0.95Ω")/"0.88Ω")`

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Transformation Ratio given Equivalent Reactance from Secondary Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transformation Ratio = sqrt((Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Primary Leakage Reactance)
K = sqrt((X₀₂-X_L2)/X_L1)
This formula uses 1 Functions, 4 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.
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.
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.

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
Primary Leakage Reactance: 0.88 Ohm --> 0.88 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = sqrt((X₀₂-X_L2)/X_L1) --> sqrt((2.23-0.95)/0.88)

Evaluating ... ...

K = 1.20604537831105

STEP 3: Convert Result to Output's Unit

1.20604537831105 --> No Conversion Required

FINAL ANSWER

1.20604537831105 ≈ 1.206045 <-- Transformation Ratio

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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National Institute of Technology (NIT), Jamshedpur

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< 10+ Transformation Ratio Calculators

Transformation Ratio given Equivalent Reactance from Secondary Side

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

Transformation Ratio given Equivalent Reactance from Primary Side

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

Transformation Ratio given Equivalent Resistance from Secondary Side

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

Transformation Ratio given Equivalent Resistance from Primary Side

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

Transformation Ratio given Primary and Secondary Number of Turns

Go Transformation Ratio = Number of Turns in Secondary/Number of Turns in Primary

Transformation Ratio given Primary and Secondary Induced Voltage

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

Transformation Ratio given Primary and Secondary Voltage

Go Transformation Ratio = Secondary Voltage/Primary Voltage

Transformation Ratio given Primary and Secondary Current

Go Transformation Ratio = Primary Current/Secondary Current

Transformation Ratio given Equivalent Reactance from Secondary Side Formula

Transformation Ratio = sqrt((Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Primary Leakage Reactance)
K = sqrt((X₀₂-X_L2)/X_L1)

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 Equivalent Reactance from Secondary Side?

Transformation Ratio given Equivalent Reactance from Secondary Side calculator uses Transformation Ratio = sqrt((Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Primary Leakage Reactance) to calculate the Transformation Ratio, The Transformation Ratio given Equivalent Reactance from Secondary Side 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 Equivalent Reactance from Secondary Side using this online calculator? To use this online calculator for Transformation Ratio given Equivalent Reactance from Secondary Side, enter Equivalent Reactance from Secondary (X₀₂), Secondary Leakage Reactance (X_L2) & Primary Leakage Reactance (X_L1) and hit the calculate button. Here is how the Transformation Ratio given Equivalent Reactance from Secondary Side calculation can be explained with given input values -> 1.206045 = sqrt((2.23-0.95)/0.88).

FAQ

What is Transformation Ratio given Equivalent Reactance from Secondary Side?

The Transformation Ratio given Equivalent Reactance from Secondary Side 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((X₀₂-X_L2)/X_L1) or Transformation Ratio = sqrt((Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Primary Leakage Reactance). 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 & 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.

How to calculate Transformation Ratio given Equivalent Reactance from Secondary Side?

The Transformation Ratio given Equivalent Reactance from Secondary Side 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((Equivalent Reactance from Secondary-Secondary Leakage Reactance)/Primary Leakage Reactance). To calculate Transformation Ratio given Equivalent Reactance from Secondary Side, you need Equivalent Reactance from Secondary (X₀₂), Secondary Leakage Reactance (X_L2) & Primary Leakage Reactance (X_L1). With our tool, you need to enter the respective value for Equivalent Reactance from Secondary, Secondary Leakage Reactance & Primary Leakage Reactance 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 Equivalent Reactance from Secondary, Secondary Leakage Reactance & Primary Leakage Reactance. We can use 9 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)
Transformation Ratio = sqrt(Secondary Leakage Reactance/(Equivalent Reactance from Primary-Primary Leakage Reactance))
Transformation Ratio = Secondary Voltage/Primary Voltage
Transformation Ratio = Primary Current/Secondary Current
Transformation Ratio = Number of Turns in Secondary/Number of Turns in Primary
Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary)
Transformation Ratio = sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance)

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