19
LTC1923
1923f
APPLICATIO S I FOR ATIO
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V
IN
+
V
E
C
T
R
A
R
F
LTC1923LTC2053
C
F
V
REF
K
THRM
K
IA
K
EA
K
MOD
K
PWR
K
TEC
R1
10k
10k
NTC
+
+
+
POWER
STAGE
TEC
1923 F11
V
TECOOLER
+
ERROR
AMP
Figure 11. Simplified Loop Block Diagram
This voltage error translates back into a temperature
setpoint error.
Example:
R
THRM
= 10k
NTC with 4.4%/°C at 25°C
R1 = 10k
V
REF
= 2.5V
T = 25°C
For this thermistor with a 25°C temperature setpoint, the
change in thermistor voltage with temperature is given by
25mV/°C. In order to maintain a 0.01°C temperature
accuracy, this translates into a 250µV error signal, V
E
. The
minimum loop gain can now be calculated from the above
equation:
V
E
= V
IN
/(1 + T)
A 25°C setpoint temperature requires V
IN
= 1.25V for
V
REF
= 2.5V. The required loop gain is 5000 or 74dB.
There are two handles to adjust the loop gain, K
IA
and K
EA
,
while the other handles are fixed and depend upon the TEC
and thermistor characteristics (K
TEC
and K
THRM
), V
SET
and
R1 (K
THRM
) and V
DD
(K
MOD
and K
PWR
). The modulator and
power gain product is given by:
K
MOD
• K
PWR
= 2 • V
DD
/V
CT
= 2 • V
DD
where V
CT
= the C
T
voltage which has a fixed 1V amplitude.
The TEC gain depends upon the TEC selected and corre-
sponds to the relationship between the voltage across the
device and what temperature differential is created. This
gain term changes with operating temperature, and whether
the TEC is heating or cooling. TECs are inherently more
efficient at heating (and therefore have a higher gain) as
compared to cooling. A worst-case rough estimation of
the gain can be obtained by taking the maximum TEC
voltage required to force a given change in temperature
from the TEC specifications:
K
TEC
= dT/V
TEC(MAX)
The thermistor gain should be linearized around tempera-
ture setpoint.
Example:
Setpoint T = 25°C
V
DD
= 5V
R
THRM
= 10k NTC with 4.4%/°C at 25°C
R1 = 10k
V
REF
= 2.5V
dT/V
TEC(MAX)
= 45°C/1.5V = 30°C/V
20
LTC1923
1923f
TMP
CMD
+
+
REF
V
OUT
LTC1658
10k
10k
NTC
REF
R
C
R
A
R
B
FB
CNTRL
EAOU
T
LTC1923
ERROR
AMPLIFIER
C
A
6
5
1923 F1
2
4
A = 10
LTC2053
C
B
C
C
Figure 12. Alternative Compensation Method to Improve Transient Response
APPLICATIO S I FOR ATIO
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The linearized thermistor gain around 25°C is –25mV/°C.
For a minimum loop gain of 5000 as calculated above, the
combined gain of the instrumentation and error amplifiers
can be calculated:
K
IA
• K
EA
= T/(K
MOD
• K
PWR
• K
TEC
• K
THRM
)
K
IA
• K
EA
= 5000/(10 • 30 • 0.025) = 667
A combined gain of 1000 can be selected to provide
adequate margin. The instrumentation amplifier gain should
be set at typically 10, as this attenuates any errors by its
gain factor. The error amplifier gain would then be limited
to the remainder through the gain setting resistors, R
F
and
R
A
shown in Figure 11.
R
F
/R
A
= KEA – 1
The multiple poles associated with the TEC/thermistor
system makes it difficult to compensate. Compounding
this problem is that there will be significant variations in
thermal time constants for the same system, making
elaborate compensation schemes difficult to reliably imple-
ment. The most robust method (i.e., least prone to
oscillation) is to place a dominant pole well below the
thermal system time constant (τ) (anywhere from many
seconds to minutes). This time constant will set the
capacitor value by the following equation:
C
F
=
τ
/R
F
Please refer to Application Note 89 for more detailed
information on compensating the loop. Ceramic capaci-
tors are not recommended for use as the integrating
capacitor or anywhere in the signal path as they exhibit a
piezoelectric effect which can introduce noise into the
system. The component values shown on the front page of
this data sheet provide a good starting point, but some
adjustment may be required to optimize the response.
Dominant pole compensation does have its limitations. It
provides good loop response over a wide range of laser
module types. It does not provide the fastest transient
response to step changes in temperature. If this is a
necessity, a more complex compensation approach as
shown in Figure 12 may be required. This approach adds
an additional zero into the feedback loop to speed up the
transient response. First note that the LTC2053 inputs
have been swapped as the LTC1923 error amplifier is now
running in an inverting configuration. Capacitor C
A
is
needed to provide the lead term. Resistor R
C
is used to
buffer the LTC2053 from capacitive loading and limit the
error amplifier high frequency gain.
Since the system thermal pole locations are not known, a
qualitative compensation approach must be employed.
This entails looking at the transient response when the
TEC is heating (due to the inherent higher gain) for a small-
signal step change in temperature and modifying compen-
sation components to improve the response. A reasonable
starting point is to select components that mimic the
response that will be obtained from the front page of this
data sheet. Therefore R
A
, R
B
and C
B
would be selected to
be 1M, 1M and 0.47µF, respectively. R
C
should be
selected to be a factor of 100 smaller than R
A
, or on the
order of 10k. Make sure that the loop is stable prior to the
introduction of capacitor C
A
. The addition of C
A
will
provide some phase boost in the loop (in effect, offsetting
one of the poles associated with the thermal system). Start
21
LTC1923
1923f
APPLICATIO S I FOR ATIO
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+
REF
V
OUT
TMP
CMD
LTC1658
10k
NTC
LTC1923
FB
ERROR
AMPLIFIER
1923 F13
4.7µF10M
10k
100k
6
CNTRL
4
EAOUT
5
Figure 13. Simplifed Temperature Control Loop Omitting
the LTC2053 Instrumentation Amplifier Front End
with C
A
on the order of C
B
and note its affect on system
response. Adjust the values based on observing whether
the transient response was improved or not with the goal
of reducing C
B
to improve settling time. As the system
thermal poles can vary between “identical” laser modules
(i.e., same manufacturer and model), care must be taken
to ensure that the values selected provide the desired
response even with these thermal term variations. Com-
pensation should also be tailored for each unique laser
module as thermal terms can vary significantly between
different brands. C
C
rolls off high frequency gain , mini-
mizing noise in the outputs. It is typically about 25 times
smaller than C
B
. C
A
, C
B
and C
C
should be film capacitors.
Temperature Stability
It is important to differentiate between temperature accu-
racy and stability. Since each laser’s output maximizes at
some temperature, temperature setpoint is typically
incremented until this peak is achieved. After this, only
temperature stability is required. The predominant param-
eters which affect temperature stability are the thermistor,
the thermistor biasing resistor and any offset drift of the
front-end electrical circuitry. Sufficient loop gain ensures
that any downstream variations do not contribute signifi-
cantly to temperature stability. The relatively mild operat-
ing conditions inside the laser module promote good long-
term thermistor stability. A high quality, low temperature
coefficient resistor should be selected to bias the ther-
mistor. If the 10k resistor has a 100ppm/°C temperature
coefficient, this translates into a 0.18°C setpoint tempera-
ture differential over a 0°C to 70°C ambient for a desired
25°C laser setpoint. Depending upon the temperature
stability requirements of the system, this is very signifi-
cant. A lower temperature coefficient resistor may there-
fore be desired. The LTC2053 has maximum offset drift to
50nV/°C which translates into less than 0.001°C change
for a 0°C to 70°C ambient.
The offset drift of the LTC1923 error amplifier divided by
the gain of the LTC2053 also affects temperature stability.
The offset drift of the LTC1923 (see characteristic curves)
is typically 1mV over a 0°C to 70°C ambient. After attenu-
ation by the LTC2053 gain, this translates into a tempera-
ture setpoint variation of 0.004°C. Neither of these offsets
drifts significantly with aging. Depending upon the setpoint
temperature stability requirements of the system, the
LTC2053 instrumentation amplifier may not be necessary.
Figure 13 shows a simplified schematic with the LTC2053
omitted.

LTC1923EGN#TRPBF

Mfr. #:
Manufacturer:
Analog Devices / Linear Technology
Description:
Power Management Specialized - PMIC Hi Eff Thermoelectric Cooler Cntr
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