PID CONTROLLER

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:

bullet

Proportional-Integral (PI) Control

bullet

Proportional-Integral-Derivative (PID) Control

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:

bullet

Kp, the proportional constant, controls the loop gain

bullet

Ki, the integral constant, offsets errors

bullet

Kd, the derivative constant, affects the damping rate.

Calculation of the parameters requires knowing or to examining some specific properties of TEC. One of the methods - Ziegler-Nichols tuning approach.

Name Description Comments
Process gain dT/dU (or dT/dI) Response of the TEC to applied power
Time constant t Time constant of controlled system
Dead time tD Delay of the TEC system response

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:

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:

 

Time constant

bullet

RMT provides TEC time constant tTEC in standard specifications. 

bullet

Time constant tTEC of a TEC mounted to header or heat sink is doubled (~2 x tTEC ).

bullet

If an object is mounted onto cold side of TEC, the time constant becomes considerably higher. It depends on thermal capacity of cooling object:

where C - thermal capacity of the object; DT - desired temperature difference; Q - cooling power of TEC.