Hysteresis Loss Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density^Steinmetz Coefficient)*Volume of Core
Ph = Kh*f*(Bmax^x)*Vcore
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
Ph = Kh*f*(Bmax^x)*Vcore --> 2.13*500*(0.0012^1.6)*2.32
Evaluating ... ...
Ph = 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)

Credits

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Created by Parminder Singh
Chandigarh University (CU), Punjab
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BMS College Of Engineering (BMSCE), Banglore
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Losses Calculators

Eddy Current Loss
​ LaTeX ​ Go Eddy Current Loss = Eddy Current Coefficient*Maximum Flux Density^2*Supply Frequency^2*Lamination Thickness^2*Volume of Core
Hysteresis Loss
​ LaTeX ​ Go Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density^Steinmetz Coefficient)*Volume of Core
Transformer Iron loss
​ LaTeX ​ Go Iron Losses = Eddy Current Loss+Hysteresis Loss

Transformer Design Calculators

Area of Core given EMF Induced in Secondary Winding
​ LaTeX ​ Go Area of Core = EMF Induced in Secondary/(4.44*Supply Frequency*Number of Turns in Secondary*Maximum Flux Density)
Area of Core given EMF Induced in Primary Winding
​ LaTeX ​ Go Area of Core = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary*Maximum Flux Density)
Maximum Flux in Core using Primary Winding
​ LaTeX ​ Go Maximum Core Flux = EMF Induced in Primary/(4.44*Supply Frequency*Number of Turns in Primary)
Maximum Core Flux
​ LaTeX ​ Go Maximum Core Flux = Maximum Flux Density*Area of Core

Hysteresis Loss Formula

​LaTeX ​Go
Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density^Steinmetz Coefficient)*Volume of Core
Ph = Kh*f*(Bmax^x)*Vcore

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 Ph symbol.

How to calculate Hysteresis Loss using this online calculator? To use this online calculator for Hysteresis Loss, enter Hysteresis Constant (Kh), Supply Frequency (f), Maximum Flux Density (Bmax), Steinmetz Coefficient (x) & Volume of Core (Vcore) 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 Ph = Kh*f*(Bmax^x)*Vcore 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 (Kh), Supply Frequency (f), Maximum Flux Density (Bmax), Steinmetz Coefficient (x) & Volume of Core (Vcore). 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.
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