The present disclosure relates to an accelerometric sensor in MEMS technology having high accuracy and low sensitivity to temperature and ageing.
As is known, an accelerometric sensor or accelerometer is an inertial sensor that converts an acceleration into an electrical signal. An accelerometric sensor in MEMS (Micro-Electro-Mechanical System) technology is basically formed by a mobile structure and a detecting system, coupled to the mobile structure and generating a corresponding electrical signal (for example, a capacitive variation) supplied to a processing interface.
The sensor 1 comprises a suspended region 2, typically of monocrystalline or polycrystalline silicon, eccentrically anchored to a fixed region 3 (only a portion surrounding the suspended mass 2 being visible in
The anchorage 13 is substantially formed by a column, extending in a perpendicular direction to the drawing plane (parallel to axis Z) from a substrate (not visible), which forms part of the fixed region 3 and extends underneath the suspended region. The anchorage 13 defines a rotation axis O for the suspended region 2. Here, the rotation axis O is eccentric with respect to a center of mass (centroid) B of the suspended mass 2. Specifically, the rotation axis O is shifted along axis Y with respect to the centroid B by an arm b. The anchorage 13 extends in an opening 6 in the suspended region 2. The springs 14, coplanar to the suspended region 2, extend through the opening 6, here parallel to axis Y, between the anchorage 13 and two opposite points (along axis Y) of the opening 6. The springs 14, in a per se known manner, are shaped so as to allow rotation of the suspended region 2 only about the rotation axis O.
Mobile electrodes 7 are formed by, or fixed with respect to, the suspended region 2 and face fixed electrodes 8, in turn fixed to, or formed by, the fixed region 3. The number, position, and shape of the mobile electrodes 7 and of the fixed electrodes 8 may change. In the example illustrated, four fixed electrodes 8 are arranged on the sides of the suspended region 2, parallel to axis X, and face respective four mobile electrodes 7 so as to form four electrode pairs 10a, 10b, 10c, and 10d. Furthermore, here the electrode pairs 10a-10d are arranged, two by two, in two half-planes defined by a plane parallel to the plane XZ, of trace R, passing through rotation axis O. All fixed electrodes 8 are equidistant from rotation axis O (r being the distance between the center of each fixed electrode 8 and rotation axis O).
Each electrode pair 10a-10d defines a capacitive element, the capacitance C whereof depends upon the distance between the respective fixed and mobile electrodes 8, 7, which face each other, and thus upon the position of the suspended region 2, as discussed in detail hereinafter.
By virtue of the eccentricity of the rotation axis O with respect to the centroid B, in presence of an external acceleration aext directed or having a component directed along axis X, the mobile mass 2 turns about the rotation axis O, as indicated in the figure by the arrow D, causing a relative movement of the mobile electrodes 7 away from the corresponding fixed electrodes 8 of two electrodes pairs arranged diametrally opposite (in the drawing, pairs 10b, 10d), and a corresponding approaching of the mobile electrodes 7 to the corresponding fixed electrodes 8 of the other two pairs (here, the pairs 10a, 10c). It follows that the electrode pairs 10b, 10d undergo a reduction of capacitance, and the electrode pairs 10a, 10c undergo a corresponding increase of capacitance.
The law that links the rotation angle θ of the suspended region 2 to an external acceleration aext in the direction X (or to the component in direction X of a generic external acceleration) can be calculated on the basis of the harmonic motion equation for a rotating body, neglecting the damping components.
In particular,
kθ=Mext=Fext·b=m·aext·b
k θ=Mext=Fext·b=m·aext·b where Mext and Fext are, respectively, the moment and force exerted by the external acceleration aext on the suspended region 2, m is the mass of the suspended region 2, b is the arm or distance between the rotation axis O and the centroid B, and k is the elasticity of the springs 14.
The rotation angle θ is thus given by
Furthermore, indicating by ε0 the vacuum permittivity, A the facing area between the fixed electrodes 8 and the mobile electrodes 7 of each electrode pair 10a-10c, g0 the rest distance between each mobile electrode 7 and the respective fixed electrode 8, r the distance between the center of each fixed electrode 8 and rotation axis O, C1 the capacitance associated with electrodes 7, 8 that are moving away from each other (here the pairs 10a, 10c), and C2 the capacitance associated with electrodes 7, 8 that are getting closer to each other (here the pairs 10b, 10d), and by approximating r sin θ by rθ, it results:
Subtracting capacitances C1 and C2, a capacitive variation ΔC caused by the external acceleration aext is obtained:
ΔC=C2−C1ΔC=C2−C1 (4)
By combining Eqs. (1)-(4), it is possible to derive the external acceleration aext as a function ΔC ΔC in the case of small angles rθ<g0
Thus, by appropriately biasing the mobile and fixed electrodes 7, 8, and connecting them electrically to a downstream processing circuit (for example, an ASIC—Application-Specific Integrated Circuit) it is possible to obtain, after possible amplification and filtering, an output voltage signal ΔV proportional to the sought acceleration value aext.
With this technique, it is not possible, however, to electronically distinguish the effects due to the external acceleration from the spurious ones due, for example, to stresses caused by variations of environmental conditions, such as temperature and humidity, or by structural modifications (such as bending) caused by external structures (for example, by the package enclosing the sensor) or by ageing phenomena of the materials. The above phenomena may cause low-frequency or dc capacitive variations that cannot be electronically distinguished from the useful signal.
In fact, in presence of stresses, Eq. (2) and Eq. (3) become
where Δy1 and Δy2 are the distance variation, along axis y, between each mobile electrode 7 and the corresponding fixed electrode 8, due to the displacement caused by spurious stresses.
It follows that the measured capacitance variation becomes
ΔC′=ΔC+ΔCstress ΔC′=ΔC+ΔCstress (4′)
where ΔCstressΔCstress is the capacitance variation due to spurious stresses.
To prevent errors due to stresses, solutions have been proposed based upon different spatial configurations of the sensor aimed at reducing the causes of the spurious signals or at reducing the structure sensitivity to stresses, without, however, eliminating them completely or eliminating their effects.
According to the present disclosure, an accelerometric sensor and a corresponding method for detecting an accelerometric signal are provided.
In practice, a solution is proposed that is able to frequency modulate the useful signal due to external accelerations so that it has a frequency other than zero and is thus distinguishable from the dc signals due to mechanical deformations or more in general to spurious stresses.
To this end, the present accelerometric sensor has a geometrically variable configuration of the suspended region such as to allow modulation of the sensing arm (distance between the rotation axis and the centroid of the suspended mass). The variable or modulated configuration of the accelerometric sensor is obtained by dividing the suspended region into two parts: a first region, supported to be mobile, for example to turn about the anchorage axis, and at least one second region, which is mobile, for example, translatable, with respect to the first region, so as to modulate the centroid of the suspended region. The variable geometry of the suspended mass allows a discrete-time or continuous-time signal to be obtained, at a frequency that can be set, such as to allow elimination of the signal due to stresses.
For a better understanding of the present disclosure, preferred embodiments thereof are now described, purely by way of non-limiting example, with reference to the attached drawings, wherein:
In detail, the accelerometer 20 is formed in a die of conductive material, typically of monocrystalline or polycrystalline silicon, comprising a supporting region 24 (typically fixed with respect to the die and is thus defined hereinafter also as “fixed region”), represented schematically in
The suspended region 21 is here formed by three parts: a central region 22 and two lateral regions 23. The central region 22 and the lateral regions 23 are provided in a same semiconductor material layer, are monolithic with each other, and are suspended over a substrate (not shown) forming part of the supporting region 24. The lateral regions 23 are connected to the central region 22 through respective elastic connection regions 25 monolithic with the central region 22 and with the lateral regions 23, also suspended over the substrate (not shown). The suspended region 21 has a uniform thickness in direction Z, perpendicular to the drawing plane; moreover, the thickness of the suspended region 21 is much smaller than its dimensions in directions X and Y.
The central region 22 is anchored to the substrate (not shown) through an anchorage 27 and elastic suspension elements, also referred to as “springs 28”.
The anchorage 27 is basically formed by a column extending perpendicularly to the drawing plane (parallel to axis Z) and terminates within an opening 29 in the central region 22. The anchorage 27 is connected to the suspended region 21 through the springs 28 and defines a rotation axis O1 for the suspended region 21.
Also the springs 28 extend through the opening 29, here parallel to axis Y, between the anchorage 27 and two opposite points (along axis Y) of the opening 29. The springs 28, in a per se known manner, are shaped so as to allow rotation of the suspended region 21 only about the rotation axis O1, as indicated by the arrow D.
In
In the accelerometer 20 of
Each elastic connection region 25 extends from a respective second side 31 of the central region 22, starting from median portions of these sides and extend, at rest, along first axis S1. The elastic connection regions 25 have the same shape; in particular, they have the same dimensions in directions X and Y.
Lateral regions 23 thus extend on the two second sides 31 of the central region 22 opposite to the second axis S2. Lateral regions 23 have the same shape and size. Here both of them have a rectangular shape and are connected to the elastic connection regions 25 so that, in the rest position of
Consequently, at rest, the centroid B1 of the entire suspended structure 21 is the same as the centroid of the central region and lies along the rotation axis O1.
The central region 22 carries, on the second sides 31, mobile sensing electrodes 35, facing corresponding fixed sensing electrodes 36. As in
Furthermore, the lateral regions 23 are each coupled to a respective driving assembly 40 designed to control displacement of the lateral regions 23 parallel to axis Y. In the illustrated example, each driving assembly 40 comprises mobile driving electrodes 41, which are fixed with respect to a respective lateral region 23, and fixed driving electrodes 42, which are fixed with respect to the supporting region 24. The mobile driving electrodes 41 and the fixed driving electrodes 42 are comb-fingered with respect to each other and extend parallel to the plane YZ. However, other driving modes are possible.
In addition, the elastic connection regions 25 are configured to allow a displacement of the lateral regions 23 substantially parallel to axis Y with respect to the central region 22.
By controlling the lateral regions 23 through the respective driving assemblies 40, it is possible to bring the suspended structure 21 from the rest position of
Displacement of the lateral regions 23 allows discrimination of the capacitance variation associated with the capacitive sensing elements 37 and due to stress phenomena from the capacitance variation of the capacitive elements due to an external acceleration.
In particular, according to a sensing mode, the displacement of the lateral regions 23 is controlled in a discrete time mode, and an external processing system, via a capacitance/voltage converter interface, reads the signals generated by the capacitive sensing elements 37 in two distinct positions, for example, in the rest position (shown in
Specifically, with a reading of the signals generated by the capacitive sensing elements 37 in the rest position of the suspended region 21, since the centroidal axis coincides with the rotation axis, an external acceleration aext does not bring about any rotation of the suspended region 21 about the rotation axis O1, and possible rotations thereof are only due to stress and cause a first capacitive variation ΔCo1 given by ΔCo1
ΔCo1=ΔCstress ΔCo1=ΔCstress (5)
where ΔCstressΔCstress is the capacitive variation due only to stress.
In the measure position of
ΔCo2=ΔCa+ΔCstress ΔCo2=ΔCa+ΔCstress (6)
(second capacitive variation), where ΔCa is the capacitive variation due to the external acceleration aext.
By subtracting Eq. (5) from Eq. (6), a processing stage downstream of the accelerometer 20 is thus able to isolate just the capacitive variation ΔCa due to the external acceleration aext and, from this, in a known manner, to obtain the value of the external acceleration aext.
Detection of the external acceleration aext may thus be made in two steps, as shown in
In this way, it is possible eliminate the effects of stress, which are substantially constant, irrespective of the above geometry variation of the accelerometer 20.
Furthermore, with the described modulatable structure, it is possible to modulate the sensitivity of the sensor. In fact, for the accelerometer 20, Eq. (1) can be rewritten as
where θextθext is the rotation angle of the suspended region 21 due to the external acceleration aext, m=m0+m1 is the sum of mass m0 of the central region and mass m1 of the lateral regions 23, xm is the modulatable arm of the suspended region, and k is the elasticity of the elastic connection regions 25.
The sensitivity is thus proportional to the arm xm, in turn, correlated to the ratio between masses m0 and m1 (which is the greater, the greater the lateral mass m1 with respect to the central mass m0) as well as to the displacement of the lateral masses 23. To increase the sensitivity, then, the suspended region 21 can be designed so that m0<<m1, for example for a same total mass m as in known solution of
According to a different embodiment of the described driving method, detection of the external acceleration aext may be made by displacing the lateral regions 23 between two positions, none of which is the rest position.
For instance, detection of the capacitance associated with the capacitive sensing elements 37 can be made in two steps characterized by displacement of the centroid into two positions (B2, B3) arranged on opposite sides of the first axis S1, as shown in
In fact, in this case, reading the capacitive variation associated with the capacitive sensing elements 37 with respect to the rest position (with no driving) in a first modulated-arm position, for example, in the position of
ΔC′o1=ΔCa+ΔCstress ΔC′o1=ΔCa+ΔCstress (7)
and reading the capacitive variation associated with the capacitive sensing elements 37 with respect to the rest position in a second modulated-arm position, for example, in the position of
ΔC′o2=−ΔCa+ΔCstressΔC′o2=−ΔCa+ΔCstress (8)
By subtracting Eq. (8) from Eq. (7), it is thus possible also in this case to isolate just the capacitive variation ΔCa due to the external acceleration aext.
According to yet a different embodiment, modulation of the geometrical configuration of the suspended region 21 may occur in continuous time mode, for example, by controlling the driving assemblies 40 via a sinusoidal signal at the frequency fm=ωm/2πfm=ωm/2π. In this way, the arm xm and thus the position of the centroid B are modified in a continuous way according to a sinusoidal behavior.
The arm xm is thus given by
xm=X cos(ωmt) xm=X cos(ωmt) (9)
Writing the external acceleration as
aext=a0 cos(ωint)aext=a0 cos(ωint) (10)
(which comprises as particular case a dc external acceleration, with ωinωin=0), the moment exerted by the external acceleration aext becomes
k θ=Mext=m·aext·xm=m·X cos(ωmt)·a0 cos(ωint)==m·a0·X·[cos((ωm+ωin)t)+cos((ωm−ωin)t)]kθ=Mext=m·aext·xm=m·X cos(ωmt)·a0 cos(ωint)==m·a0·X·[cos((ωm+ωin)t)+cos((ωm−ωin)t)] (11)
The moment exerted by the external acceleration aext is thus equivalent to the moment exerted by an equivalent external acceleration a′ext modulated at a not zero frequency for a constant arm X. The transform of the equivalent external acceleration a′ext in the frequency domain is shown in
Demodulation of the equivalent acceleration signal may be carried out, for example, by a processing circuit 48 arranged downstream of the accelerometer 20, as shown in
In
In the embodiment of
The modulation-voltage source 86 generates the modulation voltage Vm, also supplied to the demodulator 82.
The capacitance/voltage converter circuit 80 is a connection interface, formed, for example, by a charge amplifier connected to the capacitive sensing elements 37 of the accelerometer 20 (
The mixer 82 is, for example, implemented as a pair of MOS transistors, as illustrated in the detail of
In the circuit of
The accelerometer 50 has a structure as a whole similar to the accelerometer 20 of
In detail, in the accelerometer 50, the central region 22 is anchored to the substrate 51 (visible in
In addition, mobile sensing electrodes 55 are arranged on the bottom surface 56 of the central region 22 (see in particular
Also in the embodiment of
In detail, in the discrete time measure mode, the lateral regions 23 are driven by the driving assemblies 40 (
In the rest position (
Instead, in the measure position (illustrated, for example, in
As described previously, for the detection of external in-plane accelerations, through a two-step detection, at rest and in a measure position, and acquiring the corresponding capacitive variation values, it is possible to eliminate the effect of the stresses, as discussed in detail above.
Also in this case, as an alternative to the above, detection of the capacitive variation values may be made discrete-time in two translated positions.
In the continuous-time measure mode, the lateral regions 23 are driven by the driving assemblies 40 (
The accelerometer 60 comprises a suspended region 61 symmetrical, in the rest position, both with respect to a first axis S1 parallel to axis X and with respect to a second axis S2 parallel to axis Y.
In the accelerometer 60, the lateral regions are formed by a single frame (designated by 63), which has a quadrangular shape and surrounds a central region 62. The frame 63 is carried by the central region 62 through elastic connection regions 65, which extend along the second axis S2. Specifically, each elastic connection region 65, with a symmetrical configuration with respect to the second axis S2, has a pair of U-shaped portions 66, turned over with respect to each other and facing each other so as to form, together, the perimeter of a rectangle, two sides whereof are connected, in a median position, to the central region 62 and, respectively, to an inner side of the frame 63 via rectilinear portions 67. In this way, the elastic connection regions 65 allow translation of the frame 63 with respect to the central region 62 along axis Y, as in the case of the lateral regions 23 of
Driving assemblies 68 are coupled on two outer opposite sides of the frame 63, for controlling translation of the frame 63 between a rest position and a measure position, or between two opposite measure positions, as in the case of the lateral structures 63.
Fixed sensing electrodes 90 are here formed within the perimeter of the central region 62. The fixed sensing electrodes 90, formed by conductive regions, for example, of metal and carried by portions projecting from the substrate (not illustrated), extend within openings 64 formed in the central region 62 and face corresponding walls 91 of the central region 62. The fixed sensing electrodes 90 define mobile sensing electrodes and thus form, with the walls 91, capacitive sensing elements 69. In this way, in each opening 64, two capacitive sensing elements 90 are present, designed to have opposite capacitive variations as a result of stresses and external accelerations.
The accelerometer 70 has a frame 73 similar to
The electronic device 300 may be a mobile communication apparatus, such as a cellphone and a personal digital assistant, a portable computer, a desktop computer, a photo or video camera device, a wearable device, such as a smartwatch, or any other electronic device. The electronic device 300 comprises a processing unit 310 and the encapsulated device 200, electrically coupled to the processing unit 310. The processing unit 310 includes control circuitry, including, for example, one or more processors, discrete memory and logic, including the processing circuit 48 of
The described accelerometer allows detection of external accelerations in a very accurate way, thanks to the possibility of eliminating the dc components that adversely affect stability and precision of measure.
The accelerometer may be arranged in the same cavity as the gyroscopes, when the apparatus includes both these devices, thus enabling a reduction of the space.
The described accelerometer has a high stiffness and thus a high robustness as regard stiction of the mobile electrodes against the fixed elements of the structure.
Finally, it is clear that modifications and variations may be made to the device and method described and illustrated herein, without thereby departing from the scope of the present disclosure. For instance, the various described embodiments may be combined so as to provide further solutions.
Furthermore, the lateral regions 23 (and the frame 63, 73) may be mobile with a generic movement of roto-translation (including rotation) with respect to the central region 22, 62, 72.
The various embodiments described above can be combined to provide further embodiments. These and other changes can be made to the embodiments in light of the above-detailed description. In general, in the following claims, the terms used should not be construed to limit the claims to the specific embodiments disclosed in the specification and the claims, but should be construed to include all possible embodiments along with the full scope of equivalents to which such claims are entitled. Accordingly, the claims are not limited by the disclosure.
Number | Date | Country | Kind |
---|---|---|---|
102016000033296 | Mar 2016 | IT | national |
Number | Name | Date | Kind |
---|---|---|---|
4599896 | Stewart | Jul 1986 | A |
5895850 | Buestgens | Apr 1999 | A |
6044705 | Neukermans | Apr 2000 | A |
6481283 | Cardarelli | Nov 2002 | B1 |
6539803 | Mochida | Apr 2003 | B2 |
6691571 | Willig | Feb 2004 | B2 |
6845669 | Acar | Jan 2005 | B2 |
6860150 | Cho | Mar 2005 | B2 |
6955086 | Yoshikawa | Oct 2005 | B2 |
7066004 | Kohler et al. | Jun 2006 | B1 |
7426861 | Weinberg | Sep 2008 | B2 |
7513155 | Jeong | Apr 2009 | B2 |
7640786 | Stewart | Jan 2010 | B2 |
7694563 | Durante | Apr 2010 | B2 |
7797998 | Menard | Sep 2010 | B2 |
8042396 | Coronato | Oct 2011 | B2 |
8215168 | Merz | Jul 2012 | B2 |
8261614 | Hartmann | Sep 2012 | B2 |
8297121 | Quer | Oct 2012 | B2 |
8342022 | Schmid | Jan 2013 | B2 |
8365597 | Akashi | Feb 2013 | B2 |
8459110 | Cazzaniga | Jun 2013 | B2 |
8539832 | Potasek | Sep 2013 | B2 |
8539835 | Seeger | Sep 2013 | B2 |
8549917 | Cazzaniga | Oct 2013 | B2 |
8621928 | Gotoh | Jan 2014 | B2 |
8661897 | Coronato | Mar 2014 | B2 |
8733172 | Coronato | May 2014 | B2 |
8833164 | Coronato | Sep 2014 | B2 |
8875578 | Smith | Nov 2014 | B2 |
8950257 | Cazzaniga | Feb 2015 | B2 |
9010184 | Zou | Apr 2015 | B2 |
9075079 | Yoneoka | Jul 2015 | B2 |
9151611 | Coronato | Oct 2015 | B2 |
9194704 | Lin | Nov 2015 | B2 |
RE45855 | Coronato | Jan 2016 | E |
9234913 | Simoni | Jan 2016 | B2 |
9310199 | Schofield | Apr 2016 | B2 |
9310202 | Lin | Apr 2016 | B2 |
9341646 | Stewart | May 2016 | B2 |
9389077 | Comi | Jul 2016 | B2 |
9404747 | Valzasina | Aug 2016 | B2 |
9453927 | Heitz | Sep 2016 | B2 |
9651375 | Kuhlmann | May 2017 | B2 |
9664515 | Rocchi | May 2017 | B2 |
9689677 | Shao | Jun 2017 | B2 |
9696157 | Falorni | Jul 2017 | B2 |
9878903 | Lasalandra | Jan 2018 | B2 |
9958270 | Blomqvist | May 2018 | B2 |
9989364 | Comi | Jun 2018 | B2 |
20060112764 | Higuchi | Jun 2006 | A1 |
20080236242 | Stewart | Oct 2008 | A1 |
20080237757 | Inoue | Oct 2008 | A1 |
20140116136 | Coronato | May 2014 | A1 |
20170261322 | Gattere | Sep 2017 | A1 |
20170284804 | Gattere | Oct 2017 | A1 |
Number | Date | Country |
---|---|---|
101270988 | Sep 2008 | CN |
1 975 631 | Oct 2008 | EP |
Entry |
---|
Caspani, A. et al., “A differential resonant micro accelerometer for out-of-plane measurements,” Procedia Engineering, vol. 87, pp. 640-643, 2014. |
Number | Date | Country | |
---|---|---|---|
20170285061 A1 | Oct 2017 | US |