Air Gap

Purpose

Air gap in a magnetic core

Library

Magnetic / Components

Description

../../_images/airgap.svg

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

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

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

Parameters

Cross-sectional area

Effective cross-sectional area \(A\) of the air gap, in square meters \((\mathrm{m^2})\).

Length of flux path

Effective length \(l\) of the air gap, in meters \((\mathrm{m})\).

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 air gap, in amperes per meter \((\mathrm{A}/\mathrm{m})\).

Flux density

The magnetic flux density \(B\) in the air gap, in teslas \((\mathrm{T})\).