
Magnetic Materials 3.2 Soft Magnetic Alloys 763
4.3.2.3 Iron–Silicon Alloys
The physical basis of the use of Fe
−
Si alloys, commonly
called silicon steels, as soft magnetic materials is the fact
that both the magnetocrystalline anisotropy K
1
and the
magnetostriction parameters λ
100
and λ
111
of Fe ap-
proach zero with increasing Si content (see Fig. 4.3-5a).
The lower the magnitude of these two intrinsic magnetic
properties is, the lower are the coercivity H
c
and the AC
magnetic losses p
Fe
. The total losses p
Fe
consist of the
static hysteresis losses p
h
and the dynamic eddy current
losses p
w
which may be subdivided into a classical p
wc
and an anomalous p
wa
eddy current loss term,
p
Fe
= p
h
+ p
wc
+ p
wa
= c
h
( f )H
c
Bf
+c
wc
(πdB f )
2
/6ργ +c
wa
(α
R
/ρ)(Bf)
3/2
,
where c
h
( f ) is a form factor of the hysteresis which
depends on the frequency f , H
c
is the coercivity of the
material, B is the peak operating induction, c
wc
and c
wa
are terms taking the wave form of the applied field into
account, d is the sheet thickness, ρ is the resistivity,
γ is the density of the material, and α
R
is the Raleigh
constant. These are the factors to be controlled to obtain
minimal losses. The increase in electrical resistivity with
Si content (Fig. 4.3-5b) adds to lowering the eddy current
losses as shown by the relation above.
The Fe
−
Si equilibrium diagram shows a very small
stability range of the γ phase, indicating that the fer-
romagnetic α phase can be heat-treated in a wide
temperature range without interference of a phase trans-
formation which would decrease the magnetic softness
of the material by the lattice defects induced.
Next to low-carbon steels, Fe
−
Si steels are the most
significant group of soft magnetic materials (30% of
the world market). A differentiation is made between
non-oriented, isotropic (NO), and grain-oriented (GO)
silicon steels. Non-oriented steels are mainly applied in
rotating machines where the material is exposed to vary-
ing directions of magnetic flux. Grain-oriented steels
with GOSS-texture (110) 001 are used predominantly
as core material for power transformers.
Since Fe
−
Si steels are brittle above about
4.0 wt% Si, conventional cold rolling is impossible at
higher Si contents.
Non-oriented Silicon Steels (NO)
NO laminations are usually produced with thicknesses
between 0.65 mm and 0.35 mm, and Si concentrations
up to 3.5 wt%. According to their grade, NO silicon
50
40
30
20
10
0
–10
–20
Magnetostriction
50
40
30
20
10
0
Si-content (wt%)
Fe 2 4 6 8
80
60
40
20
0
2.2
2.1
2.0
1.9
1.8
0246
Silicon content (wt%)
λ
(×10
–6
)
Crystalline anistropy
K
1
(kJ m
–3
)
a)
K
1
λ
100
λ
111
b)
Resistivity ρ
10
–8
Ωm
Polarization I
s
I
s
ρ
Fig. 4.3-5 (a) Magnetostriction λ
100
and λ
111
and
magneto-crystalline anisotropy energy K
1
. (b) Electrical
resistivity ρ and saturation polarization I
s
, as a function of
the Si content in Fe
−
Si alloys
steels are classified in low grade (low Si content) alloys
employed in small devices and high-grade (high Si con-
tent) alloys for large machines (motors and generators).
Suitable microstructural features (optimum grain size)
and a low level of impurities are necessary for optimum
magnetic properties. Critical factors in processing are
the mechanical behavior upon punching of laminations,
the application of insulating coatings, and the build-up of
stresses in magnetic cores. Table 4.3-14 lists the ranges
of typical processing parameters.
In the case of low Si steels (< 1 wt% Si), the last two
annealing steps are applied by the user after lamination
punching (semi-finished sheet). Table 4.3-15 lists the
specifications, including all relevant properties for non-
oriented magnetic steel sheet.
Part 4 3.2