I have a thermocouple which output me some voltage level after signal conditioning. I need to convert it to desired units in centigrade. Below is the formula I am using for conversion. I need to proof that this formula will ensure uniform conversion of all voltage levels of thermocouple to centigrade units, such that 0 Volt corresponds to -200 centigrade and 10 Volt corresponds to 1500 centigrade.
Maximum voltage and minimum voltage are from DAQ after signal conditioning.
Maximum Reading Range and minimum reading range are values in centigrade.
We need to prove that range of voltage lets say 0V to 10V will be uniformly converted to -200 centigrade to 1500 centigrade reading range
Below is the formula for which we need a proof.
Precision Factor = (Maximum Voltage - Minimum Voltage) / (Maximum Reading Range - Minimum Reading range)
Desired output value in Centigrade = ((Input Voltage level - Minimum Voltage)/ Precision Factor) + Minimum Reading Range
As the temperature range is too extreme to use an external reference source to test your measurement system, the next best thing is to simulate thermocouple response.
There is data available on relationship between temperature and voltage for the different thermocouple types. A standard multi-calibrator tool can generate voltages to simulate specific temperatures. Simply disconnect the thermocouple, simulate the thermocouples response to temperature using the multi-calibrator and compare your read out to the expected value.
As thermocouple responses tend to be curved rather than linear, there may be bigger errors at certain parts of the measurement range depending on how accurately the relationship can be expressed as an equation.
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