# Found core loss equation, please explain

1. Jun 25, 2010

### chopficaro

this is the formula for calculating core loss
http://power.thayer.dartmouth.edu/pictures/function.jpg [Broken]
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

Last edited by a moderator: May 4, 2017
2. Jun 25, 2010

### dlgoff

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" [Broken]

Last edited by a moderator: May 4, 2017
3. Jul 1, 2010

### m.s.j

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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