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handbook of modern sensors

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16.2 Thermoelectric Contact Sensors 485<br />

avoid dry contact, thermally conductive grease or epoxy should be applied for better<br />

thermal tracking. A reference temperature detector in this example is a semiconductor<br />

sensor LM35DZ manufactured by National Semiconductor, Inc. The circuit has two<br />

outputs: one for the signal representing the Seebeck voltage V p and the other for the<br />

reference signal V r . The schematic illustrates that connections to the circuit board<br />

input terminals and then to the amplifier’s noninverting input and to the ground bus<br />

are made by the same type <strong>of</strong> wire (Cu). Both board terminals should be at the same<br />

temperature T c ; however, they do not necessarily have to be at the “cold” junction<br />

temperature. This is especially important for the remote measurements, where the<br />

circuit board temperature may be different from the reference “cold” junction temperature<br />

T r .<br />

For computing the temperature from a thermocouple sensor, two signals are essentially<br />

required. The first is a thermocouple voltage V p and the other is the reference<br />

sensor output voltage V r . These two signals come from different types <strong>of</strong> sensor and<br />

therefore are characterized by different transfer functions. A thermopile in most cases<br />

may be considered linear with normalized sensitivity α p (V/K), whereas the reference<br />

sensor sensitivity is expressed according to its nature. For example, a thermistor’s<br />

sensitivity α r at the operating temperature T is governed by Eq. (16.21) and has<br />

dimension /K. There are several practical ways <strong>of</strong> processing the output signals.<br />

The most precise method is to measure these signals separately, then compute the<br />

reference temperature T r according to the reference sensor’s equation, and compute<br />

the gradient temperature from a thermocouple voltage V p as<br />

= T x − T r = V p<br />

α p<br />

. (16.41)<br />

Finally, add the two temperatures and T p to arrive at the measured absolute temperature<br />

T x . A value <strong>of</strong> sensitivity (α p ) can be found from Table A.10.<br />

For a relatively narrow reference temperature range, instead <strong>of</strong> adding up the<br />

temperatures, voltages from the reference sensor and the thermocouple can be combined<br />

instead. Because α r and α p are very much different, a scaling circuit must be<br />

employed. Figure 16.17 illustrates a concept <strong>of</strong> adding up voltages from a thermocouple<br />

and a thermistor (reference sensor) to obtain a combined output signal V c .<br />

When adding up the voltages, the thermocouple amplifier gain should be selected to<br />

Fig. 16.17. Combining thermopile and thermistor signals.

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