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Close
loop DC control is the best solution for TEC operation. It provides most
effective use of TECs.
In
practice two control methods are in use:
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Proportional-Integral (PI) Control
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Proportional-Integral-Derivative (PID) Control
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For most applications PI Control looks is enough. But RMT recommends
to use most complex PID control loops.
Usually there is not so much difference in hardware of such two types (PI
and PID), only one additional coefficient - a derivative circuit to the PI
controller which improves the transient response of such control.
Effectiveness of PID/PI controls depends on correct adjustments of parameters of
the Loop:
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Kp, the proportional constant,
controls the loop gain
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Ki, the integral constant,
offsets errors
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Kd, the
derivative constant, affects the damping rate.
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Calculation of the parameters requires knowing or to examining some specific
properties of TEC.
One of the methods -
Ziegler-Nichols tuning approach.
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Name |
Description |
Comments
|
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Process gain |
dT/dU (or dT/dI) |
Response of the TEC to applied power |
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Time constant |
t |
Time constant of controlled system
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Dead time |
tD |
Delay of the TEC system response
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By these parameters it is easy to
calculate parameters of both PI or PID controls:
|
Control Method |
Kp |
Ki |
Kd |
|
PI |
0.9 K |
3.3
tD |
- |
|
PID |
1.2 K |
2
tD |
0.5
tD |
where K = time constant / (process gain * deadtime) .
In many cases
tuning of the PID parameters is done by trials and errors. It is quite long way
and requires experience. There are high-end
TEC Controllers which
provide auto-tuning functions. Even with PID loop parameters obtained this way, final fine tuning is very useful.
Knowledge of
object of the control (TEC) is very important for such working. Rough
estimations on the basis of the knowledge make PID tuning easier and
more effective:
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Process gain
Roughly estimated value of process
gain correlates with maximal performance parameters of a TEC. There are TEc
maximal parameters
DTmax
and Imax or
Umax.
Thus

Dead time
To estimate value of
deadtime it is possible to apply assumptions of most mathematical methods
which are used to close loop:

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Time constant
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RMT provides TEC time
constant tTEC
in standard specifications.
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Time
constant tTEC of a TEC
mounted to header or heat sink is doubled (~2
x tTEC
).
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If
an object
is mounted onto
cold side of TEC, the time constant becomes
considerably higher. It depends on thermal
capacity
of cooling object:
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where C - thermal capacity of the object;
DT - desired temperature difference; Q - cooling
power of TEC.
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