Card 9 - PELTIER Peltier Device

This optional card specifies the parameters for a Peltier device.

Parameters: KODE, GRPCOLD, GRPHOT, NPOLE, SEEBECK, GEOM, ELECRES, VOLT, CURRENT, KTHERM

KODE

KODE is the code PELTIER (or 60)

GRPCOLD

GRPCOLD is the group name of the cooled side elements of the Peltier device.

GRPHOT

GRPHOT is the group name of the other ("hot") side elements of the Peltier device.

NPOLE

NPOLE is the number of poles of the Peltier device.

SEEBECK

SEEBECK is the value of the Seebeck coefficient of the Peltier device material.

If SEEBECK is of the form Tn (e.g. T5), then n is a table number from which the Seebeck coefficient is interpolated. The table must be defined with Card 9 TABTYPE and TABDATA Cards. The independent variable may be TEMP, which is interpreted to be the average temperature of the hot and cooled sides, or TIME, and the dependent variable must be SEEBECK.

If SEEBECK is of the form En (e.g. E5), then n is an expression number from which the Seebeck coefficient is evaluated.

GEOM

GEOM is the value of the geometrical parameter (Area/length of each semiconductor element) associated with the Peltier device.

ELECRES

ELECRES is the value of the electrical resistivity of the Peltier device material.

If ELECRES is of the form Tn (e.g. T7), then n is a table number from which the electrical resistivity is interpolated. The table must be defined with Card 9 TABTYPE and TABDATA Cards. The independent variable may be TEMP, which is interpreted to be the average temperature of the hot and cooled sides, or TIME, and the dependent variable must be ELECRES.

If ELECRES is of the form En (e.g. E7), then n is an expression number from which the electrical resistivity is evaluated.

VOLT

VOLT is the value of the applied voltage of the Peltier device. If VOLT > 0, it is understood to be applied to the cooled side.

Either VOLT or CURRENT must be zero.

The relation between current and voltage in the Peltier device is given as:

If VOLT is of the form Tn (e.g. T7), then n is a table number from which the voltage is interpolated. The table must be defined with Card 9 TABTYPE and TABDATA Cards. The independent variable may be TEMP, which is interpreted as the average temperature of the hot and cooled sides, or TIME, and the dependent variable must be VOLTAGE.

If VOLT is of the form En (e.g. E7), then n is an expression number from which the applied voltage is evaluated.

CURRENT

CURRENT is the value of the current applied to the cooled side of the Peltier device.

Either VOLT or CURRENT must be zero.

If CURRENT is of the form Tn (e.g. T7), then n is a table number from which the current is interpolated. The table must be defined with Card 9 TABTYPE and TABDATA Cards. The independent variable may be TEMP, which is interpreted to be the average temperature of the hot and cooled sides, or TIME, and the dependent variable must be CURRENT.

If CURRENT is of the form En (e.g. E7), then n is an expression number from which the applied current is evaluated.

KTHERM

KTHERM is the value of the thermal conductivity of the Peltier device.

If KTHERM is of the form Tn (e.g. T90), then n is a table number from which the thermal conductivity is interpolated as a function of the average temperature of the hot and cooled sides. The table must be defined with Card 9 TABTYPE and TABDATA Cards. The independent variable must be TEMP, and the dependent variable must be KTHERM.

If KTHERM is of the form En (e.g. E90), then n is an expression number from which the thermal conductivity is evaluated.

Code example

$ CONSTANT COEFFICIENT PELTIER DEVICE
PELTIER TCOLD THOT 127 2.02E-4 .00052 1.0E-5 12. 0 1.51
$
$ TABLE-DEPENDENT PELTIER DEVICE
PELTIER TCOLD THOT 127 T1003 .00052 T1001 12. 0 T1002
TABTYPE 1003 SEEBECK TEMP
TABDATA 1003 1.94E-4 -273
TABDATA 1003 1.94E-4  0
TABDATA 1003 2.02E-4 25
TABDATA 1003 2.10E-4 75
TABDATA 1003 1.79E-4 200
TABTYPE 1001 ELECRES TEMP
TABDATA 1001 9.2E-6 -273
TABDATA 1001 9.2E-6  0
TABDATA 1001 1.76E-5 200
TABTYPE 1002 KTHERM TEMP
TABDATA 1002 1.61 -273
TABDATA 1002 1.61 0
TABDATA 1002 2.09 200

Notes

  • You can also model more complex Peltier device phenomena, with the CALL PELTIER function with Card 10 user-written subroutines.
  • The software defines a conductive coupling of value 2(NPOLE)(GEOM)(KTHERM) between the cooled and hot sides.

Using these parameters, the Analyzer module calculates the appropriate heat inputs to the cooled and hot sides of the device. The heat input QC applied to the cooled side and QH applied to the hot side of the device is calculated by:

where Tabs is the temperature offset from absolute zero.