GMR Angle Error Extension

August 2011
TLE500x
TLE501x
GMR-Based Angular Sensor
Application Note
GMR Angle Error Extension
V 1.2
Sensors
Edition 2011-08-03
Published by
Infineon Technologies AG
81726 München, Germany
© 2007 Infineon Technologies AG
All Rights Reserved.
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TLE500x GMR-Based Angular Sensor
Revision History: 2011-08-03, V 1.2
Previous Version: V 1.0
Page
Subjects (major changes since last revision)
All
Term “accuracy” was changed with “angle error” for better formulation
7
Corrected Cross-references
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GMR Angle Error Extension
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Table of Contents
Table of Contents
Table of Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
1
1.1
1.2
Influences on iGMR angle sensor error . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Angle error impact of increased magnetic fields as function of temperature . . . . . . . . . . . . . . . . . . . . 6
Angle error impact due to operation at lower magnetic fields than specified . . . . . . . . . . . . . . . . . . . . 7
2
2.1
2.2
2.3
2.4
Calculation Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
TLE5012 and TLE5012B with 30-70mT @ -40°C to 150°C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
TLE5012 and TLE5012B with 20-50mT @ -40°C to 150°C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
TLE5012 and TLE5012B with 20-70mT @ -40°C to 150°C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Angle error for different operating conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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GMR Angle Error Extension
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List of Figures
List of Figures
Figure 1
Figure 2
Figure 3
Figure 4
Angle error impact of increased magnetic fields as function of temperature . . . . . . . . . . . . . . . . . .
Angle error impact due to operation at lower magnetic fields than specified . . . . . . . . . . . . . . . . . .
Angle error adder for different operating conditions for TLE5011, TLE5012 and TLE5012B . . . . .
Angle error adder for different operating conditions for TLE5009. . . . . . . . . . . . . . . . . . . . . . . . . . .
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GMR Angle Error Extension
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GMR Angle Error Extension
Influences on iGMR angle sensor error
1
Influences on iGMR angle sensor error
The specification of iGMR sensor components defines absolute angle error for certain defined operating
conditions (magnetic field range, temperature). Typically the sensor elements operate well for operating conditions
outside the given range of the specification. This application note quantifies the impact to the overall angle error
of iGMR sensors, namely the TLE5009, TLE5011, TLE5012 and TLE5012B. All angle errors listed relates to the
angle error including lifetime drift and temperature variation.
This application note describes the main contributors impacting iGMR angle error and explains how to calculate
the resulting angle error if operating the devices under different magnetic field and temperature ranges.
Main contributors for
•
•
Increased magnetic fields in combination with elevated temperatures results in increased lifetime drift of
the device. This angle error adder is not present at 0 hour operation but happens irreversibly over lifetime
operation. On the other side, a reduced temperature ranges offers the potential to operate the iGMR sensor at
higher magnetic fields without any impact on the specified angle error. In Section 2.4 these angle error adders
are quantified.
Operation of the iGMR sensor at lower magnetic fields than specified leads to an increased angle error due to
anisotropy and hysteresis effects. This angle error is completely reversible, it appears if the magnetic field
drops below the value given in the specification and it immediately disappears after re-entering the specified
magnetic field range.
Both effects are cumulative and must be added. The calculation of the final resulting angle error is done in the
following manner.
Specified angle error given the product datasheet (base angle error)
PLUS
Angle error adder due to increased magnetic fields (see Figure 1)
PLUS
Angle error adder due to operation at lower magnetic fields (see Figure 2)
Some exemplary calculations are done in Section 2. In Section 2.4 you can find for each product tables with the
maximum angle error adder for all evaluated operating conditions. The “base angle error” has to be taken from the
datasheet of each product.
1.1
Angle error impact of increased magnetic fields as function of temperature
Increased magnetic fields in combination with elevated temperatures results in increased lifetime drift of the
device. This angle error adder is not present at 0 hour operation but happens irreversibly over lifetime operation.
On the other side, reduced temperature ranges offer the potential to operate the iGMR sensor at higher magnetic
fields without any impact on the specified angle error.
The magnetic fields in the table below refer to the magnetic field applied at room temperature. The evaluation was
done using magnets with a temperature coefficient of -0,13%/K and assumes that the magnet faces the same
temperature as the sensor.
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GMR Angle Error Extension
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GMR Angle Error Extension
Influences on iGMR angle sensor error
Valid for TLE5012(B),
TLE5011, TLE5009
Max. operating
temperature Tj
150°C
125°C
100°C
85°C
Maximum magnetic field @
25°C
60mT
70mT
0,16°
0.32°
0,10°
0,21°
0°
0.10°
0°
0°
Figure 1
Angle error impact of increased magnetic fields as function of temperature
1.2
Angle error impact due to operation at lower magnetic fields than specified
Operation of the iGMR sensor at lower magnetic fields than specified leads to an increased angle error due to
anisotropy and hysteresis effects. This angle error is completely reversible, it appears if the magnetic field drops
below the value given in the specification and it immediately disappears after re-entering the specified magnetic
field range.
The magnetic fields in the table below refer to the magnetic field applied at room temperature. The evaluation was
done using magnets with a temperature coefficient of -0,13%/K and assumes that the magnet faces the same
temperature as the sensor.
Product
TLE5011,
TLE5012(B)
TLE5009
Figure 2
Adder if operating down to
25mT
20mT
0,1°
0.2°
0°
0,1°
Angle error impact due to operation at lower magnetic fields than specified
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GMR Angle Error Extension
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GMR Angle Error Extension
Calculation Examples
2
Calculation Examples
This section shows some practical examples of how the angle error is modified when extending the magnetic
range.
2.1
TLE5012 and TLE5012B with 30-70mT @ -40°C to 150°C
The TLE5012 and TLE5012B have a specified angle error of 1° over lifetime and temperature including
autocalibration as far as the magnetic field is within the specified range of 30-50 mT.
If the TLE5012 or TLE5012B are used with an increased magnetic field range of 30-70mT it can be done, knowing
that the angle error would be modified as shown in Figure 1 and Equation (1).
Angle error modification 50-70 mT
(1)
1 o + 0, 32 o = 1, 32 o
2.2
TLE5012 and TLE5012B with 20-50mT @ -40°C to 150°C
The TLE5012 and TLE5012B have a specified angle error of 1° over lifetime and temperature including
autocalibration as far as the magnetic field is within the specified range of 30-50 mT.
If the TLE5012 or TLE5012B are used with a decreased magnetic field range of 20-50mT it can be done, knowing
that the angle error would be modified as shown in Figure 2 and Equation (2) and Equation (3)
Angle error modification 20-25 mT
(2)
1 o + 0, 2 o = 1, 2 o
Angle error modification 25-30 mT
(3)
1o
+ 0,
1o
= 1,
1o
Now the worst case is taken, which would be Equation (2), 1,2° angle error.
2.3
TLE5012 and TLE5012B with 20-70mT @ -40°C to 150°C
The TLE5012 and TLE5012B have a specified angle error of 1° over lifetime and temperature including
autocalibration as far as the magnetic field is within the specified range of 30-50 mT.
If the TLE5012 or TLE5012B are used with an extended magnetic field range of 20-70mT it can be done, knowing
that the angle error would be modified as shown in Figure 1 and Figure 2 and Equation (4), Equation (5) and
Equation (6)
Angle error modification 20-25 mT
(4)
1o
1o
+ 0,
32 o
+ 0,
32 o
+ 0,
2o
= 1,
52 o
+ 0,
1o
= 1,
42 o
Angle error modification 25-30 mT
(5)
Angle error modification 50-70 mT
(6)
1 o + 0, 32 o + 0, 0 o = 1, 32 o
Now the worst case is taken, which would be Equation (4), 1,52° angle error.
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GMR Angle Error Extension
Calculation Examples
2.4
Angle error for different operating conditions
Magnetic field range @25°C
The following tables give the angle error adders at different operating conditions that comes on top to the values
given in the specification.
Figure 4
150°C
0,00°
0,16°
0,32°
30-50 mT
30-60 mT
30-70 mT
25-50 mT
25-60 mT
25-70 mT
0,10°
0,10°
0,10°
0,10°
0,10°
0,20°
0,10°
0,20°
0,31°
0,10°
0,26°
0,42°
20-50 mT
20-60 mT
20-70 mT
0,20°
0,20°
0,20°
0,20°
0,20°
0,30°
0,20°
0,30°
0,41°
0,20°
0,36°
0,52°
Angle error adder for different operating conditions for TLE5011, TLE5012 and TLE5012B
Magnetic field range @25°C
Figure 3
Max operating temp. Tj
100°C
125°C
0,00°
0,00°
0,00°
0,10°
0,10°
0,21°
85°C
0,00°
0,00°
0,00°
25-50 mT
25-60 mT
25-70 mT
85°C
0,00°
0,00°
0,00°
20-50 mT
20-60 mT
20-70 mT
0,10°
0,10°
0,10°
Max operating temp. Tj
100°C
125°C
0,00°
0,00°
0,00°
0,10°
0,10°
0,21°
0,10°
0,10°
0,20°
0,10°
0,20°
0,31°
150°C
0,00°
0,16°
0,32°
0,10°
0,26°
0,42°
Angle error adder for different operating conditions for TLE5009
Application Note
GMR Angle Error Extension
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V 1.2, 2011-08-03
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