Efficiency of Transformer Solution

STEP 0: Pre-Calculation Summary
Formula Used
Efficiency = Output Power/Input Power
η = Pout/Pin
This formula uses 3 Variables
Variables Used
Efficiency - Efficiency can be defined as the ability to achieve an end goal with little to no waste, effort, or energy.
Output Power - (Measured in Watt) - Output power is the power delivered to the load after losses.
Input Power - (Measured in Watt) - Input power. Means the product of the direct voltage applied to the last radio stage and the total direct current flowing to the last radio stage, measured without modulation.
STEP 1: Convert Input(s) to Base Unit
Output Power: 120 Kilowatt --> 120000 Watt (Check conversion ​here)
Input Power: 135 Kilowatt --> 135000 Watt (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
η = Pout/Pin --> 120000/135000
Evaluating ... ...
η = 0.888888888888889
STEP 3: Convert Result to Output's Unit
0.888888888888889 --> No Conversion Required
FINAL ANSWER
0.888888888888889 0.888889 <-- Efficiency
(Calculation completed in 00.008 seconds)

Credits

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Created by Jaffer Ahmad Khan
College Of Engineering, Pune (COEP), Pune
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Verified by Parminder Singh
Chandigarh University (CU), Punjab
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25 Transformer Circuit Calculators

EMF Induced in Secondary Winding
​ Go EMF Induced in Secondary = 4.44*Number of Turns in Secondary*Supply Frequency*Area of Core*Maximum Flux Density
EMF Induced in Primary Winding
​ Go EMF Induced in Primary = 4.44*Number of Turns in Primary*Supply Frequency*Area of Core*Maximum Flux Density
Equivalent Impedance of Transformer from Secondary Side
​ Go Equivalent Impedance from Secondary = sqrt(Equivalent Resistance from Secondary^2+Equivalent Reactance from Secondary^2)
Equivalent Impedance of Transformer from Primary Side
​ Go Equivalent Impedance from Primary = sqrt(Equivalent Resistance from Primary^2+Equivalent Reactance from Primary^2)
Equivalent Resistance from Secondary Side
​ Go Equivalent Resistance from Secondary = Resistance of Secondary+Resistance of Primary*Transformation Ratio^2
Equivalent Resistance from Primary Side
​ Go Equivalent Resistance from Primary = Resistance of Primary+Resistance of Secondary/Transformation Ratio^2
P.U. Primary Resistance Drop
​ Go P U Primary Resistance drop = (Primary Current*Equivalent Resistance from Primary)/EMF Induced in Primary
Terminal Voltage during No Load
​ Go No Load Terminal Voltage = (Primary Voltage*Number of Turns in Secondary)/Number of Turns in 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)
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
Reactance of Secondary Winding in Primary
​ Go Reactance of Secondary in Primary = Secondary Leakage Reactance/(Transformation Ratio^2)
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
Resistance of Secondary Winding in Primary
​ Go Resistance of Secondary in Primary = Resistance of Secondary/Transformation Ratio^2
Secondary Winding Resistance
​ Go Resistance of Secondary = Resistance of Secondary in Primary*Transformation Ratio^2
Primary Winding Resistance
​ Go Resistance of Primary = Resistance of Primary in Secondary/(Transformation Ratio^2)
Resistance of Primary Winding in Secondary
​ Go Resistance of Primary in Secondary = Resistance of Primary*Transformation Ratio^2
Transformation Ratio given Primary and Secondary Number of Turns
​ Go Transformation Ratio = Number of Turns in Secondary/Number of Turns in Primary
Secondary Leakage Reactance
​ Go Secondary Leakage Reactance = Self Induced EMF in Secondary/Secondary Current
Transformation Ratio given Primary and Secondary Current
​ Go Transformation Ratio = Primary Current/Secondary Current
Transformation Ratio given Primary and Secondary Voltage
​ Go Transformation Ratio = Secondary Voltage/Primary Voltage
Secondary Voltage given Voltage Transformation Ratio
​ Go Secondary Voltage = Primary Voltage*Transformation Ratio
Primary Voltage given Voltage Transformation Ratio
​ Go Primary Voltage = Secondary Voltage/Transformation Ratio

Efficiency of Transformer Formula

Efficiency = Output Power/Input Power
η = Pout/Pin

What material is used for the cores of a transformer and why ?

Lamination of specially alloyed silicon steel (silicon content 4 to 5%) are used due to its high electrical resistance ,high permeability non-ageing characteristics and minimum iron loss .

How to Calculate Efficiency of Transformer?

Efficiency of Transformer calculator uses Efficiency = Output Power/Input Power to calculate the Efficiency, Efficiency of Transformer is the ratio of output power to the input power of transformer.It describes how much power is lost while voltage conversion. Efficiency is denoted by η symbol.

How to calculate Efficiency of Transformer using this online calculator? To use this online calculator for Efficiency of Transformer, enter Output Power (Pout) & Input Power (Pin) and hit the calculate button. Here is how the Efficiency of Transformer calculation can be explained with given input values -> 0.888889 = 120000/135000.

FAQ

What is Efficiency of Transformer?
Efficiency of Transformer is the ratio of output power to the input power of transformer.It describes how much power is lost while voltage conversion and is represented as η = Pout/Pin or Efficiency = Output Power/Input Power. Output power is the power delivered to the load after losses & Input power. Means the product of the direct voltage applied to the last radio stage and the total direct current flowing to the last radio stage, measured without modulation.
How to calculate Efficiency of Transformer?
Efficiency of Transformer is the ratio of output power to the input power of transformer.It describes how much power is lost while voltage conversion is calculated using Efficiency = Output Power/Input Power. To calculate Efficiency of Transformer, you need Output Power (Pout) & Input Power (Pin). With our tool, you need to enter the respective value for Output Power & Input Power and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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