Embodiments of the subject matter disclosed herein generally relate to a sensor for determining a tilt angle or angle of slope associated with an object, and more particularly, to an inclinometer that uses a capacitor having a fixed plate and a movable plate for measuring the tilt angle or angle of slope.
An inclinometer, often referred to as a tilt sensor, is used to measure the angle of inclination or the tilt angle of an object to which the inclinometer is attached to. Inclinometers generally determine the angle of inclination based on the angle between an axis of a freely hanging object and the gravitational force. These sensors are mostly used in areas such as automotive, robotics and construction. Typically, an inclinometer incorporates an accelerometer to measure the inclination angle in response to the direction of gravity (acceleration).
Over the past few decades, MEMS-based accelerometers have gained attention as they have high sensitivities and ranges. Some of the common transduction mechanisms in MEMS accelerometers are: capacitive, piezoresistive, resonant, thermal, and optical. Capacitive, piezoresistive and resonant accelerometers have a proof mass that accelerates in response to the gravitational force, and the displacement of the proof mass relative to the gravity is then related to the inclination angle.
The proof mass in the MEMS-based accelerometers has dimensions in the range of tens of micrometers, and thus, the proof mass is made using microfabrication processes, which increase the cost and complexity of the sensor. The raw output signal from the capacitive accelerometers has a low signal to noise ratio, which requires complex amplification and noise reduction circuits, which further adds to the complexity of the large scale manufacturing processes of such sensors and increases the power consumption of the sensor.
On the other hand, the piezoresistive sensors are sensitive to changes in temperatures and thus, they require temperature compensation techniques that further increase the complexity of the sensor. Although thermal accelerometers are much easier to fabricate as they do not have a proof mass, because their working principle is based on heat transfer and fluid flow, these accelerometers have a very slow response, which is undesired.
Additionally, the existing MEMS-based accelerometers have redundant features that are not needed in many applications where only the inclination angle needs to be found. The gravitational forces are comparatively small to other everyday forces. Movements that take place under the action of gravity do not require large bandwidth and ranges of acceleration that the MEMS accelerometers provide.
Specialized inclinometers use a free mass that is actuated due to the influence of the gravitational forces. Then, a particular mechanism measures the subsequent changes of the free mass. Fluidic tilt sensors measure the change in the resistance or capacitance of a fluid due to the movement of the fluid induced by the gravitational force. However, the presence of the fluid as the sensing element increases the manufacturing complexity of the device and the fluidic properties are affected by the changes in the environmental conditions.
The simplest and most effective form of inclinometers are pendulum based, but so far only fluid based inclinators have been made that use the pendulum effect [1-4]. Currently, there is no sensor or method available to electronically measure the inclination angle of a pendulum to provide information about the tilt angle of an object. Most pendulum based inclinometers are manually read using the naked eye. These types of inclinometers are very unreliable.
Thus, there is a need of specialized inclinometers that are designed to particularly measure inclination angles with higher performance and lower power consumption compared to the existing MEMS accelerometers, and also to have a low manufacturing cost, but at the same time, to be more accurate than the existing inclinometers.
According to an embodiment, there is a sensor for determining an angle of tilt. The sensor includes a housing that defines a chamber, and a parallel plate capacitor having a moving plate located inside the chamber and a fixed plate fixedly attached to a first external side of the housing. The fixed plate has a width W that varies, and the moving plate is configured to freely rotate about an axis.
According to another embodiment, a sensor assembly for determining a tilt angle, the sensor assembly includes a housing that defines a chamber, a parallel plate capacitor having a moving plate located inside the chamber, wherein the moving plate is configured to freely rotate inside the chamber, an electronic interface attached to an outside of the housing, a processor and a memory attached to the electronic interface and configured to calculate the tilt angle between a longitudinal axis of the moving plate and an axis of the housing, a communication device configured to transmit the tilt angle to an external device in a wireless manner, and a power source attached to the electronic interface and configured to power the processor, the memory and the communication device.
According to yet another embodiment, there is a method for assembling a sensor system for measuring a tilt angle. The method includes placing a first electrical terminal on a first side of an opened box so that the first electrical terminal extends inside of a chamber defined by the opened box, hanging a moving plate from an end of the first electrical terminal inside the chamber so that the moving plate rotates freely about the end of the first electrical terminal, closing the open box with a lid so that the chamber is fully closed, placing a fixed plate on an external surface of the lid, so that the moving plate and the fixed plate form a parallel plate capacitor, and the moving plate is inside the chamber and the fixed plate is outside the chamber, attaching a processor and a memory to the lid or the open box, attaching a communication device to the lid or the open box, the communication device being configured to transmit the tilt angle to an external device in a wireless manner, and providing a power source to power the processor, the memory and the communication device.
For a more complete understanding of the present invention, reference is now made to the following descriptions taken in conjunction with the accompanying drawings, in which:
The following description of the embodiments refers to the accompanying drawings. The same reference numbers in different drawings identify the same or similar elements. The following detailed description does not limit the invention. Instead, the scope of the invention is defined by the appended claims. The following embodiments are discussed, for simplicity, with regard to a tilt sensor that can be home made, with only materials available around the house. However, the embodiments to be discussed next are not limited to a homemade device, but may be applied to industrially manufactured sensors that use the same principles as the home made sensor.
Reference throughout the specification to “one embodiment” or “an embodiment” means that a particular feature, structure or characteristic described in connection with an embodiment is included in at least one embodiment of the subject matter disclosed. Thus, the appearance of the phrases “in one embodiment” or “in an embodiment” in various places throughout the specification is not necessarily referring to the same embodiment. Further, the particular features, structures or characteristics may be combined in any suitable manner in one or more embodiments.
According to an embodiment, an inclinometer or tilt sensor is made to have a movable plate acting as a pendulum inside a parallel plate capacitor. The movable plate acts as the bottom plate of the capacitor while the top plate is a fixed metal with a varying area, for example, in the shape of a triangle. When the bottom plate moves under the influence of the gravity relative to the fixed plate, the overlapping area of the two plates of the parallel plate capacitor varies, which corresponds to a change in the capacitance of the parallel plate capacitor. The relation between the angle of tilt, the overlapping area of the two plates, and the output capacitance of the capacitor is derived and used to covert the output capacitance to the tilt angle. In one application, the inclinometer has a range of 50° with a resolution of 0.38° and a response time of about 130 ms.
This configuration has a pronounced advantage over current inclinometers as the current inclinometers incorporate MEMS-based accelerometers, which as discussed above, need complex interface circuitry and are expensive to produce while having redundant features that are not required for many inclinometer applications. Other specialized inclinometers use fluids that are prone to environmental changes and complex to manufacture due to the presence of fluids, and all of these disadvantages are overcome by the present tilt sensor.
In one embodiment, as illustrated in
The housing 101 has a base or open box 138 that is configured to house the first moving plate 110. The dielectric material 134 is shaped to fit the box 136 as a lid. Thus, the lid 134 may be detachably attached to the box 138, for example, using one or more posts 139. The posts are fixedly attached either to the box or to the lid, and corresponding holes 139′ (see
As shown in
Returning to
As shown in
The effective capacitance of the parallel plate capacitor 111 depends upon the overlapping area of the two metal plates 110 and 120. For the configuration shown in
The two plates 110 and 120 are each connected to a corresponding electrical terminal 114, and 124, respectively, as shown in
For example, as also illustrated in
In one embodiment, the housing 101 of the sensor assembly 600 can be fixedly attached to an object 660, for example, a laptop or an object of art, for determining when the object is moved (i.e., is tilted) from its rest position. The processor 620 may be configured to measure the tilt angle and compare with a threshold value, and if the measured angle is larger than the threshold value, to send a warning signal to the external device 650. In this way, the external device 650 becomes aware that somebody or something is interfering with the object 660, and can take action to verify that the object is not removed from its location. Thus, the sensor system 600 can be used for theft deference, object monitoring, and/or object protection.
The substrate 610 may also include a capacitance to digital converter, which in one application, can be implemented in the processor 620. A mathematical relation is derived by the processor 620, based on the software instructions stored in the memory 622, to convert the value of the capacitance of the parallel plate capacitor 111 into the angle of inclination of the housing 101 relative to the gravity axis. Thus, it is possible to directly relate the change in the capacitance of the sensor 100 to the angle of tilt. In this regard,
As known from the equation of a parallel plate capacitor, see equation (1), the overlapping area ‘A’ is directly proportional to the capacitance ‘C’,
where ‘ε’ is the permittivity of the dielectric layer 130, and ‘D’ is the thickness of the dielectric layer 130. Thus, this equation can be used to relate the tilt angle α to the capacitance C to determine the output of the inclinometer, as now discussed. First, the mathematical relation between α and C is found by plotting the overlap area A for various angles of tilt (α), as shown in
The relationship between A and a is found to be described by a second order polynomial given by Equation (2):
A=0.367α−0.008α2+17. (2)
It can be seen that the curve 700 in
This relationship is then used by the processor 620 to find the capacitance of the parallel plate structure 111 in terms of the tilt angle for the inclinometer 100.
To verify the relationship between the tilt angle α, the overlapping area A and the output capacitance C, the inventors ran FEM simulations of a model of the inclinometer 100. At a tilt angle of −25°, the overlapping area is least and thus, a small electric field is present, which means a smaller capacitance. As the moving plate rotates towards an angle of +25°, an increase in the electric field is found between the plates of the capacitor, which results in an increased capacitance. The value of the capacitance at each angle is plotted in
The response of the inclinometer output capacitance is plotted against the tilt angle in
One advantage of the inclinometer 100's configuration is the simplicity of the design, the reduced power consumption, and the low overall cost of fabrication. The table in
Such inclinometers that are expensive and very accurate do find applications in several areas. However, in certain applications, a high-level of accuracy is often not necessarily desired. Instead, lower cost and reduced power consumption is preferred. For example, collision detection devices in cars do not require high accuracy as the acceleration produced in an accident is very large, and the device only needs to know if the acceleration produced by the collision is above a certain threshold. Alternatively, a security tag installed on a painting in a museum needs to detect if sufficient movement has occurred, which can correspond to a possible attempt of theft. In these scenarios, accuracies below 0.1° become redundant. In such applications, a faster response time is preferred.
Each of the designs outlined in the table in
Additionally, the sensor 100 does not exhibit hysteresis for the reason that the air has a significantly lower damping factor than the liquids. The free moving plate 110 moves in the air trapped inside the housing 101, under the influence of the constant gravitational force. As soon as the inclinometer is tilted, the pendulum moving plate 110 remains to the same position every time with respect to the input inclination angle while the housing and the fixed plate 120 rotate. Consequently, the output capacitance also remains equal for each inclination angle. To verify this observation, the inventors have conducted an experiment in which the inclinometer 100 was attached to a continuous rotation servo motor. In this way, it was possible to precisely control the speed of rotation of the inclinometer using the continuous rotation servomotor in order to observe the output response of the inclinometer when it moves from one end to another and then back to the starting position. In this regard,
Because metal plates are used for both the fixed plate 120 and the moving plate 110, the ambient heat may cause an increase in the capacitance as the resistance of the fixed plate (e.g., copper foil) increases. In order to measure the extent of the effect of the ambient heat on the performance of the inclinometer, the inventors have heated the sensor using a 100° C. heat source for 30 seconds and then let it cool down for 110 seconds. The change in the capacitance due to the applied heat is plotted as curve 1300 in
Thus, the embodiments discussed herein have shown a freely moving mass based inclinometer sensor which can provide digital information about the tilt angle to as low as 0.38° using a parallel plate capacitive structure. The mathematical result area were validated using FEM simulations and experiments. The parallel plate capacitor has, in one embodiment, only two output terminals that can be connected directly to an electronic interface to provide accurate information about the angle of inclination. The simplicity of the design and electronic interface allows it to be used as an add-on to enhance the functionality of existing devices, for example, as an anti-theft device.
When the inclinometer is attached to a Bluetooth wireless interface or similar communication platform, as discussed with regard to
A method for assembling a tilt sensor as discussed above is now discussed with regard to
In step 1406, the fixed plate 120 is attached to the lid. In one application, the fixed plate 120 is a copper tape shaped like a triangle is attached to the top of the lid. The fixed plate can be wrapped in this embodiment towards the back side of the box so that it also acts as a second electrical terminal 124 and both terminals 114 and 124 are in the same place for easier integration with the electronic interface 610. The shape of the fixed plate is made in the shape of a triangle such that it has variable area across the width of the sensory platform.
Then, in step 1408, a processor and a memory may be attached to the lid or the box. The processor and the memory serve to receive a signal from the parallel plate capacitor 111, to determine a change in its capacitance when the capacitor is tilted or rotated about the first electrical terminal 114. The processor is further configured to map the calculated capacitance to a corresponding tilt angle, as the sensor has been previously calibrated to establish the correspondence between the capacitance and the tilt angle. A communication device 640 is attached to the housing 101 in step 1410 for communicating the calculated tilt angle when a value of such angle is larger than a given threshold. For powering all these electronic components, a power source 630 is added to the housing 101 in step 1412.
The disclosed embodiments provide a tilt sensor that is inexpensive to manufacture and uses low power. It should be understood that this description is not intended to limit the invention. On the contrary, the embodiments are intended to cover alternatives, modifications and equivalents, which are included in the spirit and scope of the invention as defined by the appended claims. Further, in the detailed description of the embodiments, numerous specific details are set forth in order to provide a comprehensive understanding of the claimed invention. However, one skilled in the art would understand that various embodiments may be practiced without such specific details.
Although the features and elements of the present embodiments are described in the embodiments in particular combinations, each feature or element can be used alone without the other features and elements of the embodiments or in various combinations with or without other features and elements disclosed herein.
This written description uses examples of the subject matter disclosed to enable any person skilled in the art to practice the same, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the subject matter is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims.
This application claims priority to U.S. Provisional Patent Application No. 62/994,968, filed on Mar. 26, 2020, entitled “AN INCLINOMETER USING MOVABLE ELECTRODE IN A PARALLEL PLATE CAPACITIVE STRUCTURE,” the disclosure of which is incorporated herein by reference in its entirety.
Number | Date | Country | |
---|---|---|---|
62994968 | Mar 2020 | US |