Linear Core

Purpose

Linear magnetic core element

Library

Magnetic / Components

Description

../../_images/magneticpermeance.svg

This component models a segment of a magnetic core. It establishes a linear relationship between the magnetic flux \(\Phi\) and the magneto-motive force \(\mathcal{F}\)

\[\frac{\Phi}{\mathcal{F}} = \frac{\mu_0 \mu_{\mathrm{r}} A}{l}\]

where \(\mu_0 = 4 \pi \times 10^{-7} \, \mathrm{N}/\mathrm{A}^2\) is the magnetic constant, \(\mu_{\mathrm{r}}\) is the relative permeability of the material, \(A\) is the cross-sectional area and \(l\) the length of the flux path.

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 \((\mathrm{m})\).

Rel. permeability

Relative permeability \(\mu_{\mathrm{r}}\) of the core material.

Initial MMF

Magneto-motive force at simulation start, in ampere-turns \((\mathrm{A})\).

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 \((\mathrm{T})\).