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Main >> Applications >> Sample problems

Ferromagnetic C-magnet - QuickField simulation example

A permanent C-magnet in the air. The example demonstrates how to model curved permanent magnet using the equivalent surface currents.

Engineering question

How to find ferromagnetic c-magnet equivalent surface current model?

Engineering answer
Set up a plane-parallel QuickField DC Magnetics problem for a ferromagnetic C-magnet and evaluate equivalent surface current from computed field results.

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Typical applications
C-shaped magnetic cores, horseshoe magnets, open magnetic circuits

Ferromagnetic C-magnet

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Simulation problem

Problem Type
Plane-parallel problem of DC magnetics.

Geometry
Ferromagnetic C-magnet The example demonstrates how to model curved permanent magnet using the equivalent surface currents 1 cm 3 cm 7.5 cm

Given
Relative permeability of the air μ = 1;
Relative permeability of the magnet μ = 1000;
Coercive force of the magnet Hc = 10000 A/m.
The magnet polarization is along its curvature.

Solution
To avoid the influence of the boundaries while modeling the unbounded problem, we'll enclose the magnet in a rectangular region of air and specify zero Dirichlet boundary condition on its sides.
Magnetization of straight parts of the magnet is specified in terms of coercive force vector. Effective surface currents simulate magnetization in the middle curved part of the magnet.

Results
Flux density in ferromagnetic C-magnet:
Flux density in ferromagnetic C-magnet

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