Found core loss equation, please explain

In summary, the formula for calculating core loss involves constants (alpha, beta, and k) that are specific to the material of the core. The variables f and B represent frequency and maximum applied magnetic field, respectively, and Pcore is a model of hysteresis loss. This loss can be further broken down into hysteresis loss (Wh) and eddy current loss (We), with their own respective equations involving additional variables such as thickness (t) and resistivity (ρ). The Steinmetz exponent (n) is also a factor in the hysteresis loss equation and can vary depending on the material. Creative thinking is encouraged when considering the various components of core loss.
  • #1
chopficaro
46
0
this is the formula for calculating core loss
http://power.thayer.dartmouth.edu/pictures/function.jpg
alpha, beta and k are constants that have to do with the material of the core. what are f and B, and what exactly does Pcore mean
 
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  • #2
f is the frequency and B is the maximum applied magnetic field. The equation is a model of hysteresis loss.

http://hyperphysics.phy-astr.gsu.edu/hbase/solids/hyst.html"
 
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  • #3
Excuse me, but:

1- B is maximum flux density
2- That formula related to complex losses due to hysteresis and eddy current losses.

Indeed the components of core loss can be represented by the expressions below:

Hysteresis loss,

Wh = k1.f.Bnmax watts/kg

and Eddy current loss,

We = k2.f2t2B2eff / ρ watts/kg

where k1 and k2 are constants for the material
f is frequency, Hz
t is thickness of the material, mm
ρ is the resistivity of the material
Bmax is maximum flux density, T
Beff is the flux density corresponding to the r.m.s. value of the applied voltage
n is the ‘Steinmetz exponent’ which is a function of the material. Originally this was taken as 1.6 but with modern materials and higher flux densities n can vary from 1.6 to 2.5 or higher.


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Creative thinking is breezy, Then think about your surrounding things and other thought products. http://electrical-riddles.com
 

Related to Found core loss equation, please explain

1. What is a found core loss equation?

A found core loss equation is a mathematical formula used to calculate the amount of energy that is lost as heat in a magnetic core material. It takes into account factors such as the magnetic field strength, frequency, and material properties to determine the amount of core loss.

2. Why is the found core loss equation important?

The found core loss equation is important because it allows scientists and engineers to accurately predict the amount of energy that will be lost in a magnetic core material. This information is crucial in the design and optimization of electrical and electronic devices, as excessive core loss can lead to inefficiencies and increased operating costs.

3. How is the found core loss equation derived?

The found core loss equation is derived from a combination of experimental data and theoretical models. It is based on the principles of electromagnetic induction and the behavior of magnetic materials in alternating magnetic fields.

4. Can the found core loss equation be applied to all magnetic materials?

The found core loss equation is applicable to most common magnetic materials, such as iron, steel, and ferrites. However, it may not accurately predict core loss in materials with unique properties, such as amorphous metals or rare-earth magnets.

5. How can the found core loss equation be used in practical applications?

The found core loss equation is used in the design and optimization of various electrical and electronic devices, such as transformers, motors, and generators. It allows engineers to select the most appropriate magnetic material and design parameters to minimize core loss and maximize efficiency.

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