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Hysteresis Loss Formula

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Hysteresis loss is defined as the energy entrapped in magnetic materials exposed to a magnetic field in the form of residual magnetization. Check FAQs

P h = K h \cdot f \cdot ({B max}^{x}) \cdot V core

P_h - Hysteresis Loss?K_h - Hysteresis Constant?f - Supply Frequency?B_max - Maximum Flux Density?x - Steinmetz Coefficient?V_core - Volume of Core?

Hysteresis Loss Example

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With units

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Here is how the Hysteresis Loss equation looks like with Values.

Here is how the Hysteresis Loss equation looks like with Units.

Here is how the Hysteresis Loss equation looks like.

0.0524 = 2.13 \cdot 500 \cdot ({0.0012}^{1.6}) \cdot 2.32

0.0524W = 2.13J/m³ \cdot 500Hz \cdot ({0.0012T}^{1.6}) \cdot 2.32m³

0.0524 = 2.13 \cdot 500 \cdot ({0.0012}^{1.6}) \cdot 2.32

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Hysteresis Loss Solution

Follow our step by step solution on how to calculate Hysteresis Loss?

FIRST Step Consider the formula

P h = K h \cdot f \cdot ({B max}^{x}) \cdot V core

Next Step Substitute values of Variables

∴

P h = 2.13J/m³ \cdot 500Hz \cdot ({0.0012T}^{1.6}) \cdot 2.32m³

Next Step Prepare to Evaluate

∴

P h = 2.13 \cdot 500 \cdot ({0.0012}^{1.6}) \cdot 2.32

Next Step Evaluate

∴

P h = 0.0524236899426075W

LAST Step Rounding Answer

∴

P h = 0.0524W

Hysteresis Loss Formula Elements

Variables

Hysteresis Loss

Hysteresis loss is defined as the energy entrapped in magnetic materials exposed to a magnetic field in the form of residual magnetization.

Symbol: P_h

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Hysteresis Loss

Hysteresis Constant

Hysteresis constant is defined as a constant that represents hysteresis loss when a magnetic material is operating in the Rayleigh region.

Symbol: K_h

Measurement: Energy DensityUnit: J/m³

Note: Value should be greater than 0.

Formulas to find Hysteresis Constant

Supply Frequency

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'.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Supply Frequency

Maximum Flux Density

Maximum Flux Density is defined as the number of lines of force passing through a unit area of material.

Symbol: B_max

Measurement: Magnetic Flux DensityUnit: T

Note: Value should be greater than 0.

Formulas to find Maximum Flux Density

Steinmetz Coefficient

Steinmetz Coefficient is defined as a constant which is used in calculating the hysteresis losses. Its value varies from material to material.

Symbol: x

Measurement: NAUnit: Unitless

Note: Value should be between 1.49 to 2.51.

Formulas to find Steinmetz Coefficient

Volume of Core

Volume of Core is defined as the total volume of the material used to construct the core of a transmformer.

Symbol: V_core

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Core

Other formulas in Losses category

Go Area of Core given EMF Induced in Primary Winding

A core = \frac{E 1}{4.44 \cdot f \cdot N 1 \cdot B max}

Go Area of Core given EMF Induced in Secondary Winding

A core = \frac{E 2}{4.44 \cdot f \cdot N 2 \cdot B max}

Go Maximum Core Flux

Φ max = B max \cdot A core

Go Maximum Flux in Core using Primary Winding

Φ max = \frac{E 1}{4.44 \cdot f \cdot N 1}

How to Evaluate Hysteresis Loss?

Hysteresis Loss evaluator uses Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density^Steinmetz Coefficient)*Volume of Core to evaluate 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 evaluate Hysteresis Loss using this online evaluator? To use this online evaluator 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.

FAQs on Hysteresis Loss

What is the formula to find Hysteresis Loss?

The formula of Hysteresis Loss is expressed as Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density^Steinmetz Coefficient)*Volume of Core. Here is an example- 0.052424 = 2.13*500*(0.0012^1.6)*2.32.

How to calculate Hysteresis Loss?

With Hysteresis Constant (K_h), Supply Frequency (f), Maximum Flux Density (B_max), Steinmetz Coefficient (x) & Volume of Core (V_core) we can find Hysteresis Loss using the formula - Hysteresis Loss = Hysteresis Constant*Supply Frequency*(Maximum Flux Density^Steinmetz Coefficient)*Volume of Core.

Can the Hysteresis Loss be negative?

No, the Hysteresis Loss, measured in Power cannot be negative.

Which unit is used to measure Hysteresis Loss?

Hysteresis Loss is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which Hysteresis Loss can be measured.

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Hysteresis Loss Formula

Hysteresis Loss Example

Hysteresis Loss Solution

Hysteresis Loss Formula Elements

Other formulas in Losses category

How to Evaluate Hysteresis Loss?

FAQs on Hysteresis Loss

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