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handbook of modern sensors

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8.5 Thermal Accelerometers 311<br />

forced convection. As described in Chapter 3, heat can be transferred by conduction,<br />

convection, and radiation. Convection can be natural (caused by gravity) or forced<br />

(by applying an artificial external force, like that produced by a blower). In a HGA,<br />

such force is produced by acceleration. The sensor measures the internal changes in<br />

heat transfer <strong>of</strong> the trapped gas. The sensor is functionally equivalent to traditional<br />

inertial mass accelerometers. The inertial mass in the sensor is gas that is thermally<br />

nonhomogeneous. The gaseous inertial mass provides some advantages over the use<br />

<strong>of</strong> the traditional solid inertial mass. The most important advantage is a shock survival<br />

up to 50,000g, leading to significantly lower failure rates.<br />

The sensor contains a micromachined plate adjacent to a sealed cavity filled<br />

with gas. The plate has an etched cavity (trench). A single heat source, centered<br />

in the silicon chip, is suspended across the trench (Fig. 8.8). Equally spaced are four<br />

temperature <strong>sensors</strong> that are aluminum/polysilicon thermopiles (TP) (i.e., serially<br />

connected thermocouples). The TPs are located equidistant on all four sides <strong>of</strong> the<br />

heat source (dual axis). Note that a TP measures only a temperature gradient, so that<br />

the left and right thermopiles in fact is a single TP, where the left portion is the location<br />

<strong>of</strong> “cold” junctions and the right portion is that <strong>of</strong> “hot” junctions (see Section 16.2<br />

<strong>of</strong> Chapter 16 for the operating principle <strong>of</strong> a thermocouple). A thermopile instead<br />

<strong>of</strong> a thermocouple is used for a sole purpose: to increase the electrical output signal.<br />

Another pair <strong>of</strong> junctions is used for measuring a thermal gradient along the y axis.<br />

Under zero acceleration, a temperature distribution across the gas cavity is symmetrical<br />

about the heat source, so that the temperature is the same at all four TP<br />

junctions, causing each pair to output zero voltage. The heater is warmed to a temperature<br />

that is well above ambient and typically is near 200 ◦ C. Figure 8.8A shows two<br />

(A)<br />

(B)<br />

Fig. 8.8. (A) Cross-sectional view <strong>of</strong> the HGAsensor along the x axis. Heated gas is symmetrical<br />

around the heater. (B)Acceleration causes heated-gas shift to the right, resulting in a temperature<br />

gradient.

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