Hysteretic Core

Purpose

Magnetic core element with static hysteresis

Library

Magnetic / Components

Description

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.

Fig. 278 shows a fully excited major hysteresis curve with some minor reversal loops. The major curve is defined by the saturation point (\(H_\mathrm{sat}\), \(B_\mathrm{sat}\)), the coercitive field strength \(H_\mathrm{c}\), the remanence flux density \(B_\mathrm{r}\) and the saturated permeability \(\mu_\mathrm{sat}\).

../../_images/hyst_curve.svg — Fig. 278 Fully excited major hysteresis curve with some minor reversal loops

Parameters

Cross-sectional area: Cross-sectional area \(A\) of the flux path, in square meters \((\mathrm{m^2})\).
Length of flux path: Length \(l\) of the flux path, in meters \((\mathrm{m})\).
Coercitive field strength: Coercitive field strength \(H_\mathrm{c}\) for \(B = 0\), in amperes per meter \((\mathrm{A}/\mathrm{m})\).
Remanence flux density: Remanence flux density \(B_\mathrm{r}\) for \(H = 0\), in teslas \((\mathrm{T})\).
Saturation field strength: Field strength \(H_\mathrm{sat}\) at the saturation point, in amperes per meter \((\mathrm{A}/\mathrm{m})\).
Saturation flux density: Flux density \(B_\mathrm{sat}\) at the saturation point, in teslas \((\mathrm{T})\).
Saturated rel. permeability: Relative permeability \(\mu_\mathrm{r,sat} = \mu_\mathrm{sat} / \mu_0\) of the core material for \(H > H_\mathrm{sat}\).

Probe Signals

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