Hysteresis Loss Calculator

✖Hysteresis constant is defined as a constant that represents hysteresis loss when a magnetic material is operating in the Rayleigh region.ⓘ Hysteresis Constant [K_h]			+10% -10%
✖Supply Frequency means Induction motors are designed for a specific voltage per frequency ratio (V/Hz). The voltage is called the supply voltage and the frequency is called the 'Supply Frequency'.ⓘ Supply Frequency [f]			+10% -10%
✖Maximum Flux Density is defined as the number of lines of force passing through a unit area of material.ⓘ Maximum Flux Density [B_max]			+10% -10%
✖Steinmetz Coefficient is defined as a constant which is used in calculating the hysteresis losses. Its value varies from material to material.ⓘ Steinmetz Coefficient [x]			+10% -10%
✖Volume of Core is defined as the total volume of the material used to construct the core of a transmformer.ⓘ Volume of Core [V_core]			+10% -10%

✖Hysteresis loss is defined as the energy entrapped in magnetic materials exposed to a magnetic field in the form of residual magnetization.ⓘ Hysteresis Loss [P_h]

⎘ Copy

👎

Formula

✖

Hysteresis Loss

Formula

`"P"_{"h"} = "K"_{"h"}*"f"*("B"_{"max"} ^"x")*"V"_{"core"}`

Example

`"0.052424W"="2.13J/m³"*"500Hz"*("0.0012T" ^"1.6")*"2.32m³"`

Calculator

LaTeX

Reset

👍

Download Transformer Formula PDF

Hysteresis Loss Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density ^Steinmetz Coefficient)*Volume of Core
P_h = K_h*f*(B_max ^x)*V_core
This formula uses 6 Variables

Variables Used

Hysteresis Loss - (Measured in Watt) - Hysteresis loss is defined as the energy entrapped in magnetic materials exposed to a magnetic field in the form of residual magnetization.
Hysteresis Constant - (Measured in Joule per Cubic Meter) - Hysteresis constant is defined as a constant that represents hysteresis loss when a magnetic material is operating in the Rayleigh region.
Supply Frequency - (Measured in Hertz) - Supply Frequency means Induction motors are designed for a specific voltage per frequency ratio (V/Hz). The voltage is called the supply voltage and the frequency is called the 'Supply Frequency'.
Maximum Flux Density - (Measured in Tesla) - Maximum Flux Density is defined as the number of lines of force passing through a unit area of material.
Steinmetz Coefficient - Steinmetz Coefficient is defined as a constant which is used in calculating the hysteresis losses. Its value varies from material to material.
Volume of Core - (Measured in Cubic Meter) - Volume of Core is defined as the total volume of the material used to construct the core of a transmformer.

STEP 1: Convert Input(s) to Base Unit

Hysteresis Constant: 2.13 Joule per Cubic Meter --> 2.13 Joule per Cubic Meter No Conversion Required
Supply Frequency: 500 Hertz --> 500 Hertz No Conversion Required
Maximum Flux Density: 0.0012 Tesla --> 0.0012 Tesla No Conversion Required
Steinmetz Coefficient: 1.6 --> No Conversion Required
Volume of Core: 2.32 Cubic Meter --> 2.32 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_h = K_h*f*(B_max ^x)*V_core --> 2.13*500*(0.0012 ^1.6)*2.32

Evaluating ... ...

P_h = 0.0524236899426075

STEP 3: Convert Result to Output's Unit

0.0524236899426075 Watt --> No Conversion Required

FINAL ANSWER

0.0524236899426075 ≈ 0.052424 Watt <-- Hysteresis Loss

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Machine » AC Machines » Transformer » Losses » Hysteresis Loss

Credits

Created by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has created this Calculator and 100+ more calculators!

Verified by Rachita C

BMS College Of Engineering (BMSCE), Banglore

Rachita C has verified this Calculator and 50+ more calculators!

< 3 Losses Calculators

Eddy Current Loss

Go Eddy Current Loss = Eddy Current Coefficient*Maximum Flux Density^2*Supply Frequency^2*Lamination Thickness^2*Volume of Core

Hysteresis Loss

Go Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density ^Steinmetz Coefficient)*Volume of Core

Transformer Iron loss

Go Iron Losses = Eddy Current Loss+Hysteresis Loss

< 19 Transformer Design Calculators

Eddy Current Loss

Go Eddy Current Loss = Eddy Current Coefficient*Maximum Flux Density^2*Supply Frequency^2*Lamination Thickness^2*Volume of Core

Hysteresis Loss

Go Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density ^Steinmetz Coefficient)*Volume of Core

Area of Core given EMF Induced in Secondary Winding

Go Area of Core = EMF Induced in Secondary/(4.44*Supply Frequency*Number of Turns in Secondary*Maximum Flux Density)

Number of Turns in Secondary Winding

Go Number of Turns in Secondary = EMF Induced in Secondary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density)

Number of Turns in Primary Winding

Go Number of Turns in Primary = EMF Induced in Primary/(4.44*Supply Frequency*Area of Core*Maximum Flux Density)

Area of Core given EMF Induced in Primary Winding

Go Area of Core = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary*Maximum Flux Density)

Percentage Regulation of Transformer

Go Percentage Regulation of Transformer = ((No Load Terminal Voltage-Full Load Terminal Voltage)/No Load Terminal Voltage)*100

Maximum Flux in Core using Secondary Winding

Go Maximum Core Flux = EMF Induced in Secondary/(4.44*Supply Frequency*Number of Turns in Secondary)

Maximum Flux in Core using Primary Winding

Go Maximum Core Flux = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary)

Secondary Winding Resistance given Impedance of Secondary Winding

Go Resistance of Secondary = sqrt(Impedance of Secondary^2-Secondary Leakage Reactance^2)

Primary Winding Resistance given Impedance of Primary Winding

Go Resistance of Primary = sqrt(Impedance of Primary^2-Primary Leakage Reactance^2)

EMF Induced in Primary Winding given Input Voltage

Go EMF Induced in Primary = Primary Voltage-Primary Current*Impedance of Primary

Utilisation Factor of Transformer Core

Go Utilisation Factor of Transformer Core = Net Cross Sectional Area/Total Cross Sectional Area

Stacking Factor of Transformer

Go Stacking Factor of Transformer = Net Cross Sectional Area/Gross Cross Sectional Area

Self-Induced EMF in Secondary Side

Go EMF Induced in Secondary = Secondary Leakage Reactance*Secondary Current

Self-Induced EMF in Primary Side

Go Self Induced EMF in Primary = Primary Leakage Reactance*Primary Current

Percentage All Day Efficiency of Transformer

Go All Day Efficiency = ((Output Energy)/(Input Energy))*100

Maximum Core Flux

Go Maximum Core Flux = Maximum Flux Density*Area of Core

Transformer Iron loss

Go Iron Losses = Eddy Current Loss+Hysteresis Loss

Hysteresis Loss Formula

Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density ^Steinmetz Coefficient)*Volume of Core
P_h = K_h*f*(B_max ^x)*V_core

What are Hysteresis Losses?

Hysteresis losses are defined as the losses that are caused due to residual magnetic retentivity of a magnetic material.

How to Calculate Hysteresis Loss?

Hysteresis Loss calculator uses Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density ^Steinmetz Coefficient)*Volume of Core to calculate the Hysteresis Loss, Hysteresis loss are defined as the losses that are caused due to residual magnetic retentivity of a magnetic material. Hysteresis Loss is denoted by P_h symbol.

How to calculate Hysteresis Loss using this online calculator? To use this online calculator for Hysteresis Loss, enter Hysteresis Constant (K_h), Supply Frequency (f), Maximum Flux Density (B_max), Steinmetz Coefficient (x) & Volume of Core (V_core) and hit the calculate button. Here is how the Hysteresis Loss calculation can be explained with given input values -> 0.052424 = 2.13*500*(0.0012 ^1.6)*2.32.

FAQ

What is Hysteresis Loss?

Hysteresis loss are defined as the losses that are caused due to residual magnetic retentivity of a magnetic material and is represented as P_h = K_h*f*(B_max ^x)*V_core or Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density ^Steinmetz Coefficient)*Volume of Core. Hysteresis constant is defined as a constant that represents hysteresis loss when a magnetic material is operating in the Rayleigh region, Supply Frequency means Induction motors are designed for a specific voltage per frequency ratio (V/Hz). The voltage is called the supply voltage and the frequency is called the 'Supply Frequency', Maximum Flux Density is defined as the number of lines of force passing through a unit area of material, Steinmetz Coefficient is defined as a constant which is used in calculating the hysteresis losses. Its value varies from material to material & Volume of Core is defined as the total volume of the material used to construct the core of a transmformer.

How to calculate Hysteresis Loss?

Hysteresis loss are defined as the losses that are caused due to residual magnetic retentivity of a magnetic material is calculated using Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density ^Steinmetz Coefficient)*Volume of Core. To calculate Hysteresis Loss, you need Hysteresis Constant (K_h), Supply Frequency (f), Maximum Flux Density (B_max), Steinmetz Coefficient (x) & Volume of Core (V_core). With our tool, you need to enter the respective value for Hysteresis Constant, Supply Frequency, Maximum Flux Density, Steinmetz Coefficient & Volume of Core and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search