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14.6 Thermal Detectors 437<br />

Section 16.4.1 <strong>of</strong> Chapter 16) and another similar optical sensor measures ambient<br />

temperature to calculate T .<br />

14.6.5 Active Far-Infrared Sensors<br />

In the active far-infrared (AFIR) sensor, a process <strong>of</strong> measuring thermal radiation<br />

flux is different from the previously described passive (PIR) detectors. Contrary to a<br />

PIR sensing element, whose temperature depends on both the ambient and object’s<br />

temperatures, the AFIR sensor’s surface is actively controlled by a special circuit to<br />

have a defined temperature T s , which, in most applications, is maintained constant<br />

during an entire measurement process. To control the sensor’s surface temperature,<br />

electric power P is provided by a control (or excitation) circuit (Fig. 14.28A). To<br />

regulate T s , the circuit measures the element’s surface temperature and compares it<br />

with an internal reference. Obviously, the incoming power maintains T s higher than<br />

ambient. In some applications, T s may be selected higher than the highest temperature<br />

<strong>of</strong> the object; however, in most cases, just several tenths <strong>of</strong> a degree Celsius above the<br />

ambient is sufficient. Because the element’s temperature is above ambient, the sensing<br />

element loses thermal energy toward its surroundings, rather than passively absorbs<br />

it, as in a PIR detector. Part <strong>of</strong> the heat loss is in the form <strong>of</strong> a thermal conduction, part<br />

is a thermal convection, and another part is thermal radiation. That third part is the one<br />

which has to be measured. Unlike the conductive and convective heat transfer, which<br />

is always directed out <strong>of</strong> the sensing element (because it is warmer than ambient), the<br />

radiative heat transfer may go in either direction, depending on the temperature <strong>of</strong><br />

the object. Of course, the radiative flux is governed by the fundamental Eq. (3.138)<br />

<strong>of</strong> Chapter 3, which is known as the Stefan–Boltzmann law.<br />

(A)<br />

(B)<br />

Fig. 14.28. The AFIR element radiates thermal flux η toward its housing and absorbs flux<br />

b from the object (A); timing diagrams for radiative flux, surface temperature, and supplied<br />

power (B).

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