ZTP 135 SR circuit

I have been working with the ZTP 135 SR thermopile for the past couple months and I am having difficulty with the calibration of the thermopile component of the sensor. Resources on circuit design for thermopiles are abundant but the calibration is not and is usually specific to the instrument. This is the only forum I have found speaking about the ZTP 135 SR. @michelangelo coca  I have read that paper and have duplicated its construction. The rest of the reading is broken english and not really helpful for the calibration. I have been able to calibrate the thermistor component using the datasheet resistance measurements at specific temperatures and using the relationship of resistance to temperature. 1/T = A + B*log(R)+C*log(R)^3 where T is the temperature in kelvin and R is the resistance of the thermistor.  The constants A B and C I solved for using simultaneous equations three unknowns on Matlab. The thermopile calibration is more difficult. I cannot seem to get the constants for the equation Vo= k * ( To ^(4-g) - Tamb ^ (4-g)) where Vo is the voltage output of the sensor, To is the object temperature, Tamb is the thermistor reading temperature for the cold junction, k is the proportionality constant and g is a correction to the power law.

     I have used one rail to rail OP amp but have seen that using an additional amplifier for summing is used to add the voltage from the thermistor to the output voltage of the thermopile .  Running this on arduino yun microcontroller thought I could just do this in the program adding the output of thermistor circuit to the output voltage of the thermopile. Any ideas of how to get proper output voltage for the thermopile calibration equation so I can solve for the constants k and g? I can attache circuit diagram and script for arduino if needed.

I have been working with the ZTP 135 SR thermopile for the past couple months and I am having difficulty with the calibration of the thermopile component of the sensor. Resources on circuit design for thermopiles are abundant but the calibration is not and is usually specific to the instrument. This is the only forum I have found speaking about the ZTP 135 SR. @michelangelo coca  I have read that paper and have duplicated its construction. The rest of the reading is broken english and not really helpful for the calibration. I have been able to calibrate the thermistor component using the datasheet resistance measurements at specific temperatures and using the relationship of resistance to temperature. 1/T = A + B*log(R)+C*log(R)^3 where T is the temperature in kelvin and R is the resistance of the thermistor.  The constants A B and C I solved for using simultaneous equations three unknowns on Matlab. The thermopile calibration is more difficult. I cannot seem to get the constants for the equation Vo= k * ( To ^(4-g) - Tamb ^ (4-g)) where Vo is the voltage output of the sensor, To is the object temperature, Tamb is the thermistor reading temperature for the cold junction, k is the proportionality constant and g is a correction to the power law.

     I have used one rail to rail OP amp but have seen that using an additional amplifier for summing is used to add the voltage from the thermistor to the output voltage of the thermopile .  Running this on arduino yun microcontroller thought I could just do this in the program adding the output of thermistor circuit to the output voltage of the thermopile. Any ideas of how to get proper output voltage for the thermopile calibration equation so I can solve for the constants k and g? I can attache circuit diagram and script for arduino if needed.

Robert Peter Oakes or DAB can you help?

Thanks,

Clem