manganite sensors array for measurements of magnetic field distribution oliver liebfried...
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MANGANITE SENSORS ARRAY FOR MEASUREMENTS OF
MAGNETIC FIELD DISTRIBUTION
Oliver Liebfried
Gelsenkirchen University of Applied Science, GermanySemiconductor Physics Institute (SPI), Lithuania
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Structure
• Manganite Sensor Array
• Experimental arrangement
• Calculation
• Results
• Conclusion
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
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Manganite Sensor• Size of 1x0.5mm
• Made of La0.83Sr0.17MnO3 thin polycrystalline film
• Sensitive to absolute value of magn.field (B-Scalar-Sensor)
• Insensitive to changes of the direction of the B-vector
• Tested for B < 50T
Sou
rce:
Viln
ius
Hig
h M
agne
tic F
ield
Cen
tre
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
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Manganite Sensor Array
• 4 B-Scalar-Sensors in a flexible tube• in distances of 5 mm • fixed by customary glue• coated by wire screen
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
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Experimental arrangement
Function Generator
Pulsed Power Generator
4
2
3
1
PC
Oscilloscope
1,2,3,4 – circuits for sensor’s supply
Start-Up
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
Capacity: 2240μF Testing Voltage: 1000V
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Experimental arrangement
Projectile
Casing
Coil
Stopper
Carrier tube
Sensor array
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
z
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Theory
L11
R11
u11
L12
R12
u12
L21
R21
u21
L22
R22
u22
M1112
M 1221
M1122
M2122
M1121 M1221
- Magnetically coupled circuits -
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
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Calculation
212
2 )(i
dz
zMdi
dt
zdm
T
Equation of movement:
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
- Basic equation system -
System of ~50 differential equations
3
2
1
3
2
1)(
)()(
i
i
i
dt
dz
dz
zMdR
i
i
i
dt
dzMtu
Voltage equations:
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Theory
1222 4
nnnn zrsrsk
- Magnetic field -
)()(
)(2
0
)()(
)(2
),,(
222
2222
22
222
2222
22
,
,
,
nnn
nnn
nn
nn
nnn
nnn
nn
nn
zn
n
rn
n
kEzrs
zrskK
zrsr
zI
kEzrs
zrskK
zrsr
zI
B
B
B
tzrB
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
Magnetic field generated by each ring was calculated applying the following formula:
with
r – radial position
zn – axial distance to nth ring
sn – radius of nth ring
K,E – elliptic integrals of 1st & 2nd kind
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Results
0,0 0,2 0,4 0,6 0,8 1,00
1
2
3
4
5
6
7
8
9
1 2
B(T
)
t(ms)
1
2
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
calculated
measured
- Fixed projectile arrangement -
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Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
Results250 μs50 μs
500 μs 700 μs
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Calculation- Results -
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
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Calculation- Results -
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
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Conclusion• Manganite sensor available for measurement of the
magnitude of high magnetic fields independent of its direction
• 4-sensor array was used to measure time history of axial distribution of a highly dynamic magnetic field
• Very good agreement of experimental and theoretical results
• Next step: frequency response diagrams (amplitude and phase) of the manganite sensor
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
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Thank you four your attention!
Oliver Liebfried MANGANITE SENSOR ARRAY 21th Sep. 2006
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0,0 0,1 0,2 0,30
5
10
15T = 293 K
T = 273 K
B, T
U, mV
T = 320 K