Transformation Ratio given 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%
✖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 Primary Leakage Reactance [K]

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Transformation Ratio given Primary Leakage Reactance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transformation Ratio = sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance)
K = sqrt(X'₁/X_L1)
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.
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.
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

Reactance of Primary in Secondary: 1.28 Ohm --> 1.28 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'₁/X_L1) --> sqrt(1.28/0.88)

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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< 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 Primary Leakage Reactance Formula

LaTeX Go

Transformation Ratio = sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance)
K = sqrt(X'₁/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 Primary Leakage Reactance?

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

How to calculate Transformation Ratio given Primary Leakage Reactance using this online calculator? To use this online calculator for Transformation Ratio given Primary Leakage Reactance, enter Reactance of Primary in Secondary (X'₁) & Primary Leakage Reactance (X_L1) and hit the calculate button. Here is how the Transformation Ratio given Primary Leakage Reactance calculation can be explained with given input values -> 1.206045 = sqrt(1.28/0.88).

FAQ

What is Transformation Ratio given Primary Leakage Reactance?

The Transformation Ratio given Primary Leakage Reactance formula is defined as is the sqrt ratio of Reactance of Primary winding in Secondary and Primary Leakage Reactance and is represented as K = sqrt(X'₁/X_L1) or Transformation Ratio = sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance). Reactance of Primary in Secondary referred to as secondary is the Reactance of Primary winding in Secondary & 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 Primary Leakage Reactance?

The Transformation Ratio given Primary Leakage Reactance formula is defined as is the sqrt ratio of Reactance of Primary winding in Secondary and Primary Leakage Reactance is calculated using Transformation Ratio = sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance). To calculate Transformation Ratio given Primary Leakage Reactance, you need Reactance of Primary in Secondary (X'₁) & Primary Leakage Reactance (X_L1). With our tool, you need to enter the respective value for Reactance of Primary in Secondary & 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 Reactance of Primary in Secondary & 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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