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Online proceedings - EDA Publishing Association

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11-13 <br />

May 2011, Aix-en-Provence, France<br />

<br />

A Closed-Loop Micromachined Accelerometer<br />

Based on Thermal Convection<br />

Alexandra Garraud, Philippe Combette, Benoît Charlot, Pierre Loisel* and Alain Giani,<br />

Institut d’Electronique du Sud – UNIVERSITE MONTPELLIER 2 – CNRS UMR 5412<br />

Place E. Bataillon, 34095 Montpellier, France.<br />

*SAGEM D.S. 72-74 Rue de la Tour de Billy, BP 72, 95101-ARGENTEUIL<br />

Abstract- In this work, we present the frequency<br />

analysis of a micromachined thermal accelerometer<br />

based on convection. Open-loop block diagram<br />

representation is first introduced to explain the sensor<br />

behavior. New sensor architecture is imagined to<br />

enhance sensor characteristics: a closed-loop<br />

configuration is designed by addition of two resistors<br />

closed to detectors. Effects on thermal sensitivity and<br />

bandwidth are investigated.<br />

I. INTRODUCTION<br />

In recent years, a new concept of accelerometer based on<br />

thermal exchanges has been intensively studied. The<br />

physical principle is based on a hot gas bubble acting as a<br />

proof mass. Under acceleration, free-convection transfers<br />

are modified and induce the bubble motion. Like other<br />

transduction mechanisms, such as piezoelectricity,<br />

piezoresistivity or capacitive sensing [1], it converts<br />

acceleration into electrical signal. But the absence of<br />

mechanical clamping between the gas and the chip induces<br />

no stress concentration. This leads to higher shock<br />

reliability. In addition, its simple structure allows low<br />

fabrication costs and competitive performances [2]–[3].<br />

Previous studies have focused on the influence of several<br />

parameters on both sensitivity and frequency bandwidth of<br />

the thermal accelerometer: nature and pressure of gas,<br />

cavity volume, detectors’ dimensions [4–6]. The highest<br />

– 3 dB bandwidth of a thermal accelerometer was 120 Hz<br />

with a standard gas filled cavity configuration [7] and more<br />

recently 320 Hz with a helium-filled cavity configuration<br />

[6]. But these high bandwidths go with low sensitivities<br />

due to a constant sensitivity-bandwidth product.<br />

This present article will present a way to improve<br />

bandwidth without reducing sensitivity by introducing a<br />

closed-loop configuration in the sensor functioning. In a<br />

first time, we will present the open-loop system and then<br />

we will explain how to improve the system with feedback.<br />

II. SENSOR PRINCIPLE<br />

The thermal accelerometer, described in Fig. 1, is based<br />

on natural free convection in a closed chamber containing a<br />

gas. It contains a heating resistor suspended over a cavity<br />

etched on silicon, providing thermal isolation. When the<br />

resistor is supplied by an electrical current, it heats up the<br />

surrounding gas creating a symmetrical temperature<br />

distribution.<br />

Fig. 1. Schematic diagram of the micromachined thermal accelerometer.<br />

When no acceleration is applied, the system is balanced<br />

so that two temperature detectors placed on either side give<br />

the same value, as shown in Fig. 2 by the straight line.<br />

When the sensor is subjected to an acceleration Γ, the<br />

temperature profile shifts, as can be seen in Fig. 2, and the<br />

balance in free-convection heat transfer is modified. The<br />

two detectors don’t measure the same temperature anymore<br />

and this temperature difference δT is correlated to the<br />

acceleration by the sensitivity S equal to δT/Γ (°C/g).<br />

Fig. 2. Schematic diagram of the micromachined thermal accelerometer.<br />

Fig. 3 shows a SEM image of the device. We notice the<br />

suspended wires standing over the micromachined cavity.<br />

The device contains two pairs of suspended bridges on<br />

each side of the heater resistor. The cavity is obtained by<br />

KOH wet anisotropic etching of the silicon (100) oriented<br />

and measures typically 1000 μm x 2000 μm for a depth of<br />

800 μm. The heater (100 μm wide) and detectors (20 μm<br />

wide) are made of a 300 nm thick platinum layer (including<br />

134

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