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User’s Manual
9
Rev. 1.0
2019-04-29
TLE5501
TMR-Based Angle Sensor
Transient behavior
For the time
τ
s
until the voltage settles to a value less than 0.5LSB from final value U
0
the following relation
holds:
(2.7)
For a 12 bit ADC with N = 12,
τ
s
becomes
τ
s
= 9.0
τ
br
.
This means that a waiting time of approx. 9 times of
τ
br
should be considered for settling the signal before it
can be converted with the ADC.
2.2
Recommendation for the external capacitor C
b
For most applications, it is a target to achieve a high angle accuracy. To reach this, the phase shift
Φ
between
the magnetic input signal and the bridge output shall be small. It can be estimated using
The external buffer capacitor C
b
can be calculated depending on magnetic input frequency f
in
and desired
phase shift
Φ
:
(2.8)
For an application with 8000rpm, f
in
= 133Hz, R = 4kOhm (R = R
TMR
/2, see
Φ
= 0.2° the
maximum buffer capacitor C
b
is calculated to C
b
= 1nF.
The time constant
τ
br
of the bridge in this case is
τ
br
= R
TMR
/2 x C
b
= 4kOhm x 1nF = 4µs.
So the settling time of the bridge
τ
s
is then
τ
s
= 9
τ
br
=
36µs.
For applications with higher speed, the buffer capacitor C
b
can be further reduced but it has to be taken into
account, that there is also a capacitive load of the ADC of the microcontroller which needs to be charged.
Further details in
τ
s
τ
br
0.5
2
N
-------
è
ø
æ
ö
ln
⋅
è
ø
æ
ö
–
=
Cb
Φ
( )
tan
2
π
Rf
in
-----------------
=