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Saturable reactor

non-linear ferromagnetic saturation, direct electric current magnetic field, multiphysics analysis

The AC reactor features a magnetic core that can be deliberately saturated by means of a direct electric current in a control winding. Calculate the reactor inductance for a set of operating currents.

Problem Type
A plane-parallel multiphysics problem of DC magnetics coupled to AC magnetics.

Geometry

Saturable reactor model

Given
AC winding current value I~ = 300 A;
AC winding number of turns n = 300;
Frequency f = 50 Hz;
Control DC current density j_ = 0.. 4 A/mm²;
Magnetic permeability of the steel core:

Task
Calculate the reactor inductance for a set of operating currents.

Solution
DC magnetic field is calculated with DC Magnetics module of QuickField. AC magnetic field is calculated with AC Magnetics module of QuickField. In order to take saturation into account the link from DC to AC is added. The link transfers the steel core magnetic permeability distribution from one problem to another.
Series of problems were calculated for a number of control currents.

Results

Control DC current
j_, A/mm²
Reactor coil inductance
L~ [H]
0 0.3
2 0.16
4 0.1

Saturable reactor field

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