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Hysteretic Core

Purpose

Magnetic core element with static hysteresis

Library

Magnetic

Description

pict

This component models a segment of a magnetic core. It establishes a non-linear relationship between the magnetic field strength H   and the flux density B  . The hysteresis characteristics is based on a Preisach model with a Lorentzian distribution function.

The figure below shows a fully excited major hysteresis curve with some minor reversal loops. The major curve is defined by the saturation point (Hsat  , Bsat  ), the coercitive field strength Hc  , the remanence flux density Br   and the saturated permeability μsat  .

pict

Parameters

Cross-sectional area
Cross-sectional area A   of the flux path, in  2
m  .
Length of flux path
Length l   of the flux path, in m.
Coercitive field strength
Coercitive field strength Hc   for B = 0  , in A/m.
Remanence flux density
Remanence flux density Br   for H  = 0  , in teslas (T).
Saturation field strength
Field strength Hsat   at the saturation point, in A/m.
Saturation flux density
Flux density Bsat   at the saturation point, in teslas (T).
Saturated rel. permeability
Relative permeability μ   = μ   ∕μ
 r,sat    sat  0    of the core material for H > H
      sat  .

Probe Signals

MMF
The magneto-motive force measured from the marked to the unmarked terminal, in ampere-turns (A).
Flux
The magnetic flux flowing through the component, in webers (Wb). A flux entering at the marked terminal is counted as positive.
Field strength
The magnetic field strength H   in the core element, in A/m.
Flux density
The magnetic flux density B   in the core element, in teslas (T).
Loss energy
The energy dissipated in the core, in joules (J). An energy pulse is generated each time a minor or major hysteresis loop is closed.