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Area Magnetic materials and components / Permeability and losses

IEV ref221-03-34

Symbol
ηi

en
hysteresis core constant
in a magnetic core operating in the Rayleigh region, the tangent of the magnetic loss angle due to hysteresis divided by the product of the peak current î in, and the square root of the inductance L of, the measuring coil:

η i = tan δ h î L MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeE7aOnaaBaaajeaybaGaaeyAaaqabaqcaaMaeyypa0JcdaWcaaqaaiGacshacaGGHbGaaiOBaiaaykW7caaMc8UaeqiTdq2aaSbaaKqaGfaacaGGObaabeaaaOqaaiaad6oadaGcaaqaaiaadYeaaSqabaaaaaaa@4566@

Note – The relation between the hysteresis material constant ηB and the hysteresis core constant is:

η i = η B μ 0 μ e 3 V e MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeE7aOnaaBaaajeaybaGaaeyAaaqabaGccqGH9aqpcqaH3oaAdaWgaaqcbawaaiGackeaaSqabaGcdaGcaaqaamaalaaabaGaeqiVd02aaSbaaKqaGfaacaaIWaaaleqaaOGaaGPaVlabeY7aTnaaDaaajeaybaGaciyzaaqaaiaaiodaaaaakeaacaWGwbWaaSbaaKqaGfaacaGGLbaabeaaaaaaleqaaaaa@479E@

where μe is the effective permeability and Ve the effective volume.


fr
constante hystérétique (d'un noyau) f
dans un noyau magnétique fonctionnant dans le domaine de Rayleigh, quotient de la tangente de l'angle de pertes magnétiques par hystérésis par le produit de la valeur de crête î du courant dans la bobine associée au noyau et de la racine carrée de l'inductance L de la bobine:

η i = tan δ h î L MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeE7aOnaaBaaajeaybaGaaeyAaaqabaqcaaMaeyypa0JcdaWcaaqaaiGacshacaGGHbGaaiOBaiaaykW7caaMc8UaeqiTdq2aaSbaaKqaGfaacaGGObaabeaaaOqaaiaad6oadaGcaaqaaiaadYeaaSqabaaaaaaa@4566@

Note – La relation entre la constante hystérétique d'un matériau ηB et la constante hystérétique d'un noyau est:

η i = η B μ 0 μ e 3 V e MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeE7aOnaaBaaajeaybaGaaeyAaaqabaGccqGH9aqpcqaH3oaAdaWgaaqcbawaaiGackeaaSqabaGcdaGcaaqaamaalaaabaGaeqiVd02aaSbaaKqaGfaacaaIWaaaleqaaOGaaGPaVlabeY7aTnaaDaaajeaybaGaciyzaaqaaiaaiodaaaaakeaacaWGwbWaaSbaaKqaGfaacaGGLbaabeaaaaaaleqaaaaa@479E@

μe est la perméabilité effective et Ve le volume équivalent.


ar
ثابت التخلفية لمادة

de
Hysterese-Kernkonstante, f

es
constante histerética (de un núcleo)

it
costante d’isteresi (di un nucleo)

ja
磁心履歴係数
磁心ヒステリシス係数

pl
stała histerezowa magnetowodu

pt
constante histerética (de um núcleo)

sv
kärnhystereskonstant

Publication date: 1990-10
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