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Theory of Operation<br />

www.ti.com<br />

Thermocouple manufacturers usually provide a lookup table that offer excellent accuracy for linearization<br />

of a specific type of thermocouple. The granularity on these lookup tables is also very<br />

precise—approximately 1°C for each lookup value. To save microcontroller memory and development<br />

time, an interpolation technique applied to these values can be used. An example of this method when<br />

converting from voltage to temperature with eight lookup table entries is shown in Figure 13.<br />

To perform a linear interpolation using a lookup table, first compare the measured thermocouple voltage to<br />

values given in the lookup table, until the lookup table value exceeds the measured value being<br />

converted. Then, use Equation 4 to convert the measured thermocouple voltage to temperature, where V LT<br />

is the voltage lookup table array and T LT is the temperature lookup table array. This operation involves four<br />

additions, one multiplication, and one division step, respectively. This operation can be done easily on<br />

most 16- and 32-bit microcontrollers. Converting from temperature to voltage is the same, except that the<br />

lookup tables and the temperature variables are reversed, as shown in Equation 4.<br />

Figure 13. V-to-T Conversion Block Diagram for Thermocouple<br />

<br />

VIN<br />

VLT<br />

n 1<br />

<br />

<br />

LT LT LT<br />

<br />

<br />

VLTn VLT<br />

n 1 <br />

<br />

<br />

T T n 1 T n T n 1<br />

<br />

TIN<br />

TLT<br />

n 1<br />

<br />

<br />

LT LT LT<br />

<br />

<br />

TLTn TLT<br />

n 1 <br />

<br />

<br />

V V n 1 V n V n 1<br />

(4)<br />

14 Temperature Sensor Interface Module for Programmable Logic Controllers TIDU271–May 2014<br />

(PLC)<br />

Submit Documentation Feedback<br />

Copyright © 2014, Texas Instruments Incorporated

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