Transformation Ratio given Equivalent Reactance from Primary Side 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 Equivalent Reactance from Primary side is the total Reactance of the primary side.ⓘ Equivalent Reactance from Primary [X₀₁]			+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 Primary Side [K]

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Transformation Ratio given Equivalent Reactance from Primary Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transformation Ratio = sqrt(Secondary Leakage Reactance/(Equivalent Reactance from Primary-Primary Leakage Reactance))
K = sqrt(X_L2/(X₀₁-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.
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.
Equivalent Reactance from Primary - (Measured in Ohm) - The Equivalent Reactance from Primary side is the total Reactance of the primary side.
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

Secondary Leakage Reactance: 0.95 Ohm --> 0.95 Ohm No Conversion Required
Equivalent Reactance from Primary: 1.54 Ohm --> 1.54 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(X_L2/(X₀₁-X_L1)) --> sqrt(0.95/(1.54-0.88))

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)

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< 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

Transformation Ratio given Equivalent Reactance from Primary Side Formula

LaTeX Go

Transformation Ratio = sqrt(Secondary Leakage Reactance/(Equivalent Reactance from Primary-Primary Leakage Reactance))
K = sqrt(X_L2/(X₀₁-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 Primary Side?

Transformation Ratio given Equivalent Reactance from Primary Side calculator uses Transformation Ratio = sqrt(Secondary Leakage Reactance/(Equivalent Reactance from Primary-Primary Leakage Reactance)) to calculate the Transformation Ratio, The Transformation Ratio given Equivalent Reactance from Primary 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 Primary Side using this online calculator? To use this online calculator for Transformation Ratio given Equivalent Reactance from Primary Side, enter Secondary Leakage Reactance (X_L2), Equivalent Reactance from Primary (X₀₁) & Primary Leakage Reactance (X_L1) and hit the calculate button. Here is how the Transformation Ratio given Equivalent Reactance from Primary Side calculation can be explained with given input values -> 1.199747 = sqrt(0.95/(1.54-0.88)).

FAQ

What is Transformation Ratio given Equivalent Reactance from Primary Side?

The Transformation Ratio given Equivalent Reactance from Primary 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(X_L2/(X₀₁-X_L1)) or Transformation Ratio = sqrt(Secondary Leakage Reactance/(Equivalent Reactance from Primary-Primary Leakage Reactance)). 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 Equivalent Reactance from Primary side is the total Reactance of the primary side & 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 Primary Side?

The Transformation Ratio given Equivalent Reactance from Primary 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(Secondary Leakage Reactance/(Equivalent Reactance from Primary-Primary Leakage Reactance)). To calculate Transformation Ratio given Equivalent Reactance from Primary Side, you need Secondary Leakage Reactance (X_L2), Equivalent Reactance from Primary (X₀₁) & Primary Leakage Reactance (X_L1). With our tool, you need to enter the respective value for Secondary Leakage Reactance, Equivalent Reactance from Primary & 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 Secondary Leakage Reactance, Equivalent Reactance from Primary & Primary Leakage Reactance. 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)

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