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Re: [femm] PM modeling (Re:Suggestions)
The explanation is clear. The femm manual also explains it, I read that
apendix and deduced also the origin of the absence of a demagnetizing
field as a consequence of considering a magnet as mu=1 + surface
currents. But I still think that the solution from that approximation is
partial, and the correct field is given by M = B/muo - Hd. Also this
result comes in a more natural way with the magnetic charge
formulation.
Anyway it is possible to back out the demagnetizing H as you indicate
although it is quite long.
Thanks.
At 13.24 25/6/01 -0400, you wrote:
Victor Javier Raposo Funcia wrote:
Just two points:
- What about adding a vector plot of H and B in the postprocessor?
- When I try to solve a problem consisting on a rectangular magnet (in
the
air) I found the following problem:
B seems to be correct, but H inside the magnet is in the same direction
as
the magnetization M, and it should be a demagnetizing field (when I solve
it with the magnetic charges). It seems that H is calculated as H=B/mu
without considering M.
Well, femm takes the view that permanent magnets are
essentially the same as solenoids. The magnet consists of a chunk of
low-permeability material (such as air). The "source" of the
PM's flux is a current sheet of density Hc*(m cross n) on the edges of
the permanet magnet, where Hc is the magnet's coercivity, m is a unit
vector in the direction of magnetization, and n is an outward unit normal
to the edge of the PM. This is a fairly typical way to model permanent
magnets in the context of a finite element formuation (because it is any
easy way to include PMs), and it is also equivalent to a magnetic
charge-based formulation. An interesting web site that discusses
this approach is
here,
on the Magnequench website. This issue is also discussed in
appendix A1 in the femm manual.
In any case, it is possible to back out the demagnetizing H and M that
one would obtain in a formulation that represents M explicitly. To do
this, we are just mapping back onto the second quadrant of the
demagnetization curve. If Hf is the field intensity reported by
femm, and Hd is the demagnetizing field intensity, then Hd = Hf - Hc*m,
where Hc is the coercivity of the material, and again, m is a unit vector
pointing in the magnetization direction. Magnetization is defined
by B=muo(Hd+M), so the magnetization corresponding to the operating point
on the demagnetization curve is M = B/muo - Hd, where muo is the
permeability of free space and B is the flux density. If the
magnetic material has a unit relative permeability (nearly true with most
SmCo, NdFeB, and some ceramic magnets), M=Hf-Hd.
At least, I don't think I've screwed up this explanation....
Dave Meeker
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-----------------------------------
Víctor Raposo
Dpto. Física Aplicada
Universidad de Salamanca
Plaza de la Merced s/n
37008 Salamanca. Spain
Tel 923 29 45 00 - 1301
Fax 923 29 45 84
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