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Magnetic Materials
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Hysteresis Loop for Ferromagnetic Materials
Brremnant flux or residue flux
Hc coercive flux or coercivity
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Magnetization Curves for Hard Materials (I)
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Magnetization Curves for Hard Materials (II)
1T = 10 kGauss, 1A/m = 0.01257 Oe or 1 Oe = 79.6 A/m
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From Yeadon Handbook of Small Electric Motors
Hard Magnetic Material Properties
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Hard Material Circuit Analysis (1)
Load line:
Device line:Bm=(Br/Hc)(Hm+Hc)
= rHm +Br
mmm dHF gHgg F
0 gm FF
0 gHdH gmm
mm
g Hg
dH
m
m
gg Hg
d
HB 00
md
B
+
_
mF
Actual direction ofHm
g
grB
cH mH
gm BB
H
B
cross section areaAm
cross section areaAg
mmgg ABAB From
m
g
gm
A
ABB
From magnetic circuit
mm
gm
m HA
A
g
d
B 0
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Hard Material Circuit Analysis (2)
mm
g H
g
dB 0
grB
cH mH
gm BB
H
H
mmgg ABAB Fromg
mmg
A
ABB
From )(00
2
mmg
mm
gm
m
g
BHgA
AdBH
g
dB
magVol
gapVol2
0
gap
mag)(
VolVol g
mm
BBH
The required volume of magnet can be minimized by operating the magnet at
the point of maximum BH (or energy) product.
Device line:Bm= rHm +Br
md
B
+
_
mF
Actual direction ofHm
g
cross section areaAm
cross section areaAg
maximum BH product
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Hard Material Equivalent Circuit
0m r r mB B H
0
0
m m r m r m m
mr r m m
m
B A B A A H
A d Hd
r r mB A 0
mm
r m
d
A R
mr
m
R
F
m m mH dF
whereLoad Line:
0
0
gmm m
m
c m
AdB H
g A
P H
1 1.2r
Pc is called permeance coefficient
/
/
g g gm mc
m m m g m
A A gdP
g A A d
R
R
P
P md
r
mF
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Loaded PM Circuit
B
0H0 cH
rB
0 mRH
mRB
m m gH d H g Ni
m m g gB A B A
0 0
0
g g g
m g g c mm m m
A A A NB B H P H i
A A A g
mg m
d NiH H
g g
AC load line
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Special Operation of Hard Material
(a) Operation at remanence (S.C.);
(b) Operation at coercivity (O.C.)
D. Hanselman,Brushless Permanent magnet Motor Design, 2ndEdition,
p. 36, Magna Physics Publishing, 2006.
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Influence of Temperature
0 0( ) ( ) ( )r r BB T B T T T
D. Hanselman,Brushless Permanent magnet Motor Design, 2ndEdition,
p. 37, Magna Physics Publishing, 2006.
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Soft Magnetic Materials
Ferrite materials
Carbon steels Silicon steels
High saturation alloys
Amorphous ferromagnetic alloys Soft magnetic powder composites
Nanostructured materials
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Soft Magnetic Material Properties
From Yeadon Handbook of Small Electric Motors
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Ferrite Materials (1)
3C81 is from Philips, USA.
Philips Components, 3C81Material Grade Specification, 1997
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Ferrite Materials (2)
3F3 is from Philips, USA.
Philips Components, 3F3Material Grade Specification, 2000
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Ferrite Materials (3)
4F1 is from Philips, USA.
Philips Components, 4F1Material Grade Specification, 2000
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Carbon Steel 1008
www.eng-tips.com Magnetic Engineering Forums
Maxwell SV Software
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Carbon Steel 1010
www.eng-tips.com Magnetic Engineering Forums
Maxwell SV Software
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Carbon Steel 1018
www.eng-tips.com Magnetic Engineering Forums
Maxwell SV Software
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Nonoriented Silicon Steel
J. F. Gieras,Advancements in Electric Machines, Springer, 2008.
M-19 means core losses shall be below 1.9 W/lb at 1.5 T and 60 Hz.
Fe-Si alloys with random orientation of crystal cubes and practically have the same
properties in any direction in the plane of the sheet.
Armco M-19
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Armco M-27, 36 and 43
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High Frequency Electric Steel (1)
To reduce core loss, laminations with thin gauges are manufactured.
ArnonTM 5 is fromArnold Magnetic Technologies Corp., Rochester, NY, USA.
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High Frequency Electric Steel (2)
Cogent Power Ltd., Newport, UK. www.cogent-power.com
J. F. Gieras,Advancements in Electric Machines, Springer, 2008.
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High Saturation AlloysFe-Co alloys with Co contents from 15 to 50% have the highest known
saturation flux density and highest Curie temperature of any alloy family..
Hiperco50 is from Carpenter, USA.
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Hiperco50 Core Loss
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Vacoflux50 B-H curveVacoflux50 is from Vacuumschmelze, Hanau, Germany.
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Amorphous Ferromagnetic Materials (1)
J. F. Gieras,Advancements in Electric Machines, Springer, 2008.
www.ammtechnologies.com
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Amorphous Ferromagnetic Materials (2)
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Soft Magnetic Powder Composites (1)
Soft magnetic powder composites are composed of iron powder, dielectric
(epoxy resin) and filler (glass or carbon fibers) for mechanical strengthening.
Accucore from TSC Ferrite International, Wadsworth, IL. www.tscinternational.com
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Soft Magnetic Powder Composites (2)
SomaloyTM500 from Hgans, Sweden.
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Soft Magnetic Powder Composites (3)
SomaloyTM500 from Hgans, Sweden.
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Soft Magnetic Nanocrystalline Composites