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Magnetic core element with saturation
Magnetic
This component models a segment of a magnetic core. It establishes a non-linear
relationship between the magnetic field strength and the flux density
to
model saturation effects. The user can choose between the following fitting
functions:
The atan fit is based on the arctangent function:
The coth fit was adapted from the Langevian equation for bulk magnetization without interdomain coupling, and is given as:
Both fitting functions have three degrees of freedom which are set by the
coefficients ,
and
.
is the fully saturated permeability, which
usually corresponds to the magnetic constant
, i.e. the permeability of air.
defines the knee of the saturation transition between unsaturated and saturated
permeability:
The coefficient is determined by the unsaturated permeability
at
:
The figure below illustrates the saturation characteristics for both fitting functions. The saturation curves differ only around the transition between unsaturated and saturated permeability. The coth fit expresses a slightly tighter transition than the atan fit.