CN117007215A - Pressure sensor simulation system with variable dielectric constant and design method thereof - Google Patents
Pressure sensor simulation system with variable dielectric constant and design method thereof Download PDFInfo
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Abstract
本申请提供一种介电常数可变的压力传感器模拟系统的设计方法,设定所述绝缘层的介电常数可变,以ε(r)表征所述绝缘层上与圆心距离r处位置的相对介电常数,构建所述基础模型在接触状态下输出电容的表达式,其中所述输出电容包括接触区域输出电容和未接触区域输出电容,以接触区域输出电容与压力线性变化为条件,推导所述相对介电常数ε(r)的表达式;然后根据ε(r)设定所述绝缘层上任意位置处的介电常数,该种设计使得所述压力传感器可以提高接触区域输出电容的线性度,同时改善了非接触区域输出电容的线性度,使得压力传感器整体的电容可以保持较高的线性度。本申请还提供一种介电常数可变的压力传感器模拟系统。
This application provides a design method for a pressure sensor simulation system with variable dielectric constant. The dielectric constant of the insulating layer is set to be variable, and ε (r) is used to represent the position on the insulating layer at a distance r from the center of the circle. Relative dielectric constant, construct the expression of the output capacitance of the basic model in the contact state, where the output capacitance includes the output capacitance of the contact area and the output capacitance of the non-contact area, based on the condition that the output capacitance of the contact area changes linearly with the pressure, derivation The expression of the relative dielectric constant ε (r) ; and then setting the dielectric constant at any position on the insulating layer according to ε (r) . This design allows the pressure sensor to increase the output capacitance of the contact area. Linearity, while improving the linearity of the output capacitance in the non-contact area, so that the overall capacitance of the pressure sensor can maintain a high linearity. This application also provides a pressure sensor simulation system with variable dielectric constant.
Description
技术领域Technical field
本申请属于压力传感器技术领域,具体涉及一种介电常数可变的压力传感器模拟系统及其设计方法。The present application belongs to the technical field of pressure sensors, and specifically relates to a pressure sensor simulation system with variable dielectric constant and a design method thereof.
背景技术Background technique
压力传感器,是一种将压力信号转换为电信号的测量装置。在压力传感器的设计过程主要包括两个阶段,一个是前期模拟阶段,一个是后期实体阶段,其中模拟阶段指的是设计压力传感器的仿真模型,通过该仿真模型进行性能相关的仿真试验,验证设计的可行性;实体阶段指的是根据模拟阶段的结果制造出与仿真模型结构相同的压力传感器实体,对压力传感器实体进行性能相关的试验。其中,模拟阶段不需要额外的制造出压力传感器的实体结构,并且具有参数可调,测试方便的优点。模拟阶段的设计过程通过模拟系统来实现。A pressure sensor is a measuring device that converts pressure signals into electrical signals. The design process of the pressure sensor mainly includes two stages, one is the early simulation stage, and the other is the late physical stage. The simulation stage refers to designing the simulation model of the pressure sensor. Through the simulation model, performance-related simulation tests are conducted to verify the design. feasibility; the entity stage refers to manufacturing a pressure sensor entity with the same structure as the simulation model based on the results of the simulation stage, and conducting performance-related tests on the pressure sensor entity. Among them, the simulation stage does not require additional manufacturing of the physical structure of the pressure sensor, and has the advantages of adjustable parameters and convenient testing. The design process in the simulation phase is implemented through the simulation system.
相关技术中,压力传感器模拟系统的设计通常包括两部分,第一部分是针对压力感知侧的结构设计,第二部分是针对信号转换侧的电路设计,二者的合理设计均能够提升压力传感器的检测精度。其中,对于压力传感器的设计主要倾向于在压力感知测的振膜上进行优化,通过改变振膜的材料或是厚度来改善压力传感器的振动性能,但是在压力传感器的硬件结构中,振膜的振动需要通过相应的连接件传递至电容器的极板,使得振膜与电容器之间并非直接产生联系,振膜对电容变化的影响还受制于振膜与极板之间的连接结构,设计出的压力传感器的线性度与理想线性度之间仍存有一定差距。In related technologies, the design of a pressure sensor simulation system usually includes two parts. The first part is the structural design on the pressure sensing side, and the second part is the circuit design on the signal conversion side. The reasonable design of both can improve the detection of the pressure sensor. Accuracy. Among them, the design of the pressure sensor mainly tends to optimize the diaphragm for pressure sensing, and improve the vibration performance of the pressure sensor by changing the material or thickness of the diaphragm. However, in the hardware structure of the pressure sensor, the diaphragm The vibration needs to be transmitted to the plate of the capacitor through the corresponding connector, so that there is no direct connection between the diaphragm and the capacitor. The influence of the diaphragm on the capacitance change is also limited by the connection structure between the diaphragm and the plate. The designed There is still a certain gap between the linearity of the pressure sensor and the ideal linearity.
因此,实有必要提供一种介电常数可变的压力传感器模拟系统及其设计方法以解决上述问题。Therefore, it is necessary to provide a pressure sensor simulation system with variable dielectric constant and a design method thereof to solve the above problems.
发明内容Contents of the invention
本申请提供一种介电常数可变的压力传感器模拟系统及其设计方法,设定绝缘层的介电常数可变,以ε(r)表征所述绝缘层上与圆心距离r处位置的相对介电常数,构建所述基础模型在接触状态下输出电容的表达式,其中所述输出电容包括接触区域输出电容和未接触区域输出电容,以接触区域输出电容与压力线性变化为条件,推导所述相对介电常数ε(r)的表达式,然后将根据ε(r)的表达式设定所述绝缘层上任意位置处的介电常数,完成所述基础模型的构建。该设计方法可以提高压力传感器的线性度。This application provides a pressure sensor simulation system with variable dielectric constant and a design method thereof. The dielectric constant of the insulating layer is set to be variable, and ε (r) is used to represent the relative position on the insulating layer at a distance r from the center of the circle. Dielectric constant, construct the expression of the output capacitance of the basic model in the contact state, where the output capacitance includes the output capacitance of the contact area and the output capacitance of the non-contact area, based on the condition that the output capacitance of the contact area changes linearly with the pressure, the result is derived The expression of the relative dielectric constant ε (r) is given, and then the dielectric constant at any position on the insulating layer is set according to the expression of ε (r) to complete the construction of the basic model. This design method can improve the linearity of the pressure sensor.
为解决上述技术问题,本申请的技术方案在于:In order to solve the above technical problems, the technical solution of this application is:
一种介电常数可变的压力传感器模拟系统的设计方法,包括如下步骤:A design method for a pressure sensor simulation system with variable dielectric constant, including the following steps:
S1:构建压力传感器的基础模型,所述基础模型包括支撑框架及两个柔性电极,所述支撑框架围成两端开口的圆柱形腔室,两个所述柔性电极分别覆盖并完全封闭所述腔室的两端开口,所述腔室内设置为真空状态;两个所述柔性电极间隔形成电容器,至少一个所述柔性电极用于感知压力产生形变,至少一个所述柔性电极位于所述腔室内的一面贴设有薄膜状的绝缘层;S1: Construct a basic model of the pressure sensor. The basic model includes a support frame and two flexible electrodes. The support frame surrounds a cylindrical chamber with openings at both ends. The two flexible electrodes respectively cover and completely seal the Both ends of the chamber are open, and the chamber is set in a vacuum state; two flexible electrodes are spaced apart to form a capacitor, at least one of the flexible electrodes is used to sense pressure and produce deformation, and at least one of the flexible electrodes is located in the chamber. A film-like insulation layer is attached to one side;
S2:设定所述绝缘层的介电常数可变,以ε(r)表征所述绝缘层上与圆心距离r处位置的相对介电常数,构建所述基础模型在接触状态下输出电容的表达式,其中所述输出电容包括接触区域输出电容和未接触区域输出电容,以接触区域输出电容与压力线性变化为条件,推导所述相对介电常数ε(r)的表达式;S2: Set the dielectric constant of the insulating layer to be variable, use ε (r) to represent the relative dielectric constant of the position on the insulating layer at a distance r from the center of the circle, and construct the output capacitance of the basic model in the contact state. Expression, wherein the output capacitance includes a contact area output capacitance and a non-contact area output capacitance, and based on the linear change of the contact area output capacitance and pressure, the expression of the relative dielectric constant ε (r) is derived;
S3:根据ε(r)的表达式设定所述绝缘层上任意位置处的介电常数,完成所述基础模型的构建,对所述压力传感器模拟系统进行仿真试验,测定性能,依照测试结果对所述基础模型的属性参数进行优化调整,得到最终的模拟系统。S3: Set the dielectric constant at any position on the insulating layer according to the expression of ε (r) , complete the construction of the basic model, conduct a simulation test on the pressure sensor simulation system, measure the performance, and according to the test results Optimize and adjust the attribute parameters of the basic model to obtain the final simulation system.
优选的,所述压力传感器为接触式压力传感器,压力等于临界压力时,两个所述柔性电极正好接触但不形成相互挤压;压力小于临界压力时,两个所述柔性电极不发生接触;压力大于临界压力时,两个所述柔性电极接触并形成相互挤压。Preferably, the pressure sensor is a contact pressure sensor. When the pressure is equal to the critical pressure, the two flexible electrodes are in just contact but do not squeeze each other; when the pressure is less than the critical pressure, the two flexible electrodes do not contact; When the pressure is greater than the critical pressure, the two flexible electrodes contact and squeeze each other.
优选的,所述柔性电极包括与所述腔室正对设置的形变区及位于所述形变区外围的固定区,所述固定区与所述支撑框架固定,所述形变区用于感知压力产生形变,所述形变区的形状与所述腔室的截面形状相同,所述绝缘层贴设于所述形变区上。Preferably, the flexible electrode includes a deformation area located opposite the chamber and a fixed area located on the periphery of the deformation area. The fixed area is fixed to the support frame, and the deformation area is used to sense pressure generation. Deformation, the shape of the deformation zone is the same as the cross-sectional shape of the chamber, and the insulation layer is attached to the deformation zone.
优选的,所述绝缘层与所述柔性电极的中轴线位于同一直线上,且所述绝缘层完全覆盖所述柔性电极在所述腔室内裸漏的表面。Preferably, the insulating layer and the central axis of the flexible electrode are located on the same straight line, and the insulating layer completely covers the exposed surface of the flexible electrode in the chamber.
优选的,所述接触区域输出电容Ct表示为:Preferably, the contact area output capacitance C t is expressed as:
式中,at表示所述接触区域的半径;ε0表示真空介电常数;tox表示所述绝缘层的厚度。In the formula, a t represents the radius of the contact area; ε 0 represents the vacuum dielectric constant; t ox represents the thickness of the insulating layer.
优选的,两个所述柔性电极的结构相同,两个所述柔性电极均用于感知压力产生形变,两个所述柔性电极位于所述腔室内的一面贴均贴设有所述绝缘层,两个所述柔性电极上绝缘层的厚度相等。Preferably, the structures of the two flexible electrodes are the same, both of the flexible electrodes are used to sense pressure and produce deformation, and the insulation layer is attached to one side of the two flexible electrodes located in the chamber. The thickness of the insulating layer on the two flexible electrodes is equal.
优选的,将接触区域输出电容Ct的表达式改写为:Preferably, the expression of the contact area output capacitance C t is rewritten as:
对Ct取接触区域半径at的微分可得:Taking the differential of the contact area radius a t for C t we can get:
接触区域半径at是压力P的函数,在接触区域输出电容Ct与压力P线性变化的条件下,接触区域半径at与压力P需要满足线性的函数关系,因此将上式进一步改写为:The contact area radius a t is a function of pressure P. Under the condition that the contact area output capacitance C t and pressure P change linearly, the contact area radius a t and pressure P need to satisfy a linear functional relationship, so the above formula is further rewritten as:
则:but:
其中,表示所述压力传感器接触区域的输出灵敏度;对于接触区域而言,r=at,则上式可以简化为:in, Represents the output sensitivity of the contact area of the pressure sensor; for the contact area, r= at , then the above formula can be simplified to:
式中,D表示所述形变区的弯曲刚度,g表示所述腔室的高度。In the formula, D represents the bending stiffness of the deformation zone, and g represents the height of the chamber.
优选的,其中一个所述柔性电极用于感知压力产生形变,另一个所述柔性电极通过基底与外界隔绝,不受压力作用,所述绝缘层设置于与所述基底连接的柔性电极上。Preferably, one of the flexible electrodes is used to sense pressure and produce deformation, and the other flexible electrode is isolated from the outside world through a base and is not affected by pressure, and the insulating layer is provided on the flexible electrode connected to the base.
优选的,所述相对介电常数ε(r)的推导过程包括如下步骤:Preferably, the derivation process of the relative dielectric constant ε (r) includes the following steps:
将输出电容Ct的表达式改写为:Rewrite the expression of output capacitance C t as:
对Ct取接触区域半径at的微分可得:Taking the differential of the contact area radius a t for C t we can get:
接触区域半径at是压力P的函数,在接触区域输出电容与压力线性变化的条件下,因此将上式进一步改写为:The radius of the contact area a t is a function of the pressure P. Under the condition that the output capacitance of the contact area changes linearly with the pressure, the above equation is further rewritten as:
则:but:
其中,表示所述压力传感器接触区域的输出灵敏度;对于接触区域而言,r=at,则上式可以简化为:in, Represents the output sensitivity of the contact area of the pressure sensor; for the contact area, r= at , then the above formula can be simplified to:
式中,D表示所述形变区的弯曲刚度,g表示所述腔室的高度。In the formula, D represents the bending stiffness of the deformation zone, and g represents the height of the chamber.
本申请还提供一种介电常数可变的压力传感器模拟系统,包括:This application also provides a pressure sensor simulation system with variable dielectric constant, including:
基础模型:所述基础模型包括支撑框架及电极,所述基础模型包括支撑框架及两个柔性电极,所述支撑框架围成两端开口的圆柱形腔室,两个所述柔性电极分别覆盖并完全封闭所述腔室的两端开口,所述腔室内设置为真空状态;两个所述柔性电极间隔形成电容器,至少一个所述柔性电极用于感知压力产生形变,至少一个所述柔性电极位于所述腔室内的一面贴设有薄膜状的绝缘层;Basic model: The basic model includes a support frame and electrodes. The basic model includes a support frame and two flexible electrodes. The support frame surrounds a cylindrical chamber with openings at both ends. The two flexible electrodes cover and The openings at both ends of the chamber are completely closed, and the chamber is set to a vacuum state; the two flexible electrodes are spaced apart to form a capacitor, at least one of the flexible electrodes is used to sense pressure and produce deformation, and at least one of the flexible electrodes is located A film-like insulating layer is attached to one side of the chamber;
计算模块:用于设定所述绝缘层的介电常数可变,以ε(r)表征所述绝缘层上与圆心距离r处位置的相对介电常数,构建所述基础模型在接触状态下输出电容的表达式,其中所述输出电容包括接触区域输出电容和未接触区域输出电容,以接触区域输出电容与压力线性变化为条件,推导所述相对介电常数ε(r)的表达式;Calculation module: used to set the dielectric constant of the insulating layer to be variable, using ε (r) to represent the relative dielectric constant of the position on the insulating layer at a distance r from the center of the circle, and construct the basic model in the contact state The expression of the output capacitance, wherein the output capacitance includes the contact area output capacitance and the non-contact area output capacitance, and based on the linear change of the contact area output capacitance and pressure, the expression of the relative dielectric constant ε (r) is derived;
参数设定模块:用于根据ε(r)的表达式设定所述绝缘层上任意位置处的介电常数,完成所述基础模型的构建,对所述压力传感器模拟系统进行仿真试验,测定性能,依照测试结果对所述基础模型的属性参数进行优化调整,得到最终的模拟系统。Parameter setting module: used to set the dielectric constant at any position on the insulating layer according to the expression of ε (r) , complete the construction of the basic model, conduct simulation tests on the pressure sensor simulation system, and measure Performance, optimize and adjust the attribute parameters of the basic model according to the test results to obtain the final simulation system.
本申请的有益效果在于:The beneficial effects of this application are:
本申请设定所述绝缘层的介电常数可变,以ε(r)表征所述绝缘层上与圆心距离r处位置的相对介电常数,构建所述基础模型在接触状态下输出电容的表达式,其中所述输出电容包括接触区域输出电容和未接触区域输出电容,以接触区域输出电容与压力线性变化为条件,推导所述相对介电常数ε(r)的表达式;然后根据ε(r)设定所述绝缘层上任意位置处的介电常数,该种设计使得所述压力传感器可以提高接触区域输出电容的线性度,同时改善了非接触区域输出电容的线性度,使得压力传感器整体的电容可以保持较高的线性度。This application sets the dielectric constant of the insulating layer to be variable, and uses ε (r) to represent the relative dielectric constant of the position on the insulating layer at a distance r from the center of the circle, and constructs the output capacitance of the basic model in the contact state. Expression, wherein the output capacitance includes a contact area output capacitance and a non-contact area output capacitance, and based on the linear change of the contact area output capacitance and pressure, the expression of the relative dielectric constant ε (r) is derived; and then according to ε (r) Set the dielectric constant at any position on the insulating layer. This design allows the pressure sensor to improve the linearity of the output capacitance in the contact area, and at the same time improves the linearity of the output capacitance in the non-contact area, so that the pressure The overall capacitance of the sensor can maintain high linearity.
附图说明Description of the drawings
图1表示本申请提供的一种压力传感器基础模型的结构示意图;Figure 1 shows a schematic structural diagram of a pressure sensor basic model provided by this application;
图2表示图1所示的基础模型的使用状态图;Figure 2 shows the usage state diagram of the basic model shown in Figure 1;
图3表示图1所示的绝缘层的理论介电常数ε(r)取对数后与r的关系曲线;Figure 3 shows the relationship curve between the theoretical dielectric constant ε (r) of the insulating layer shown in Figure 1 and r after taking the logarithm;
图4表示普通的接触式压力传感器的电容-压力曲线图;Figure 4 shows the capacitance-pressure curve of a common contact pressure sensor;
图5表示图1所示的压力传感器基础模型的电容-压力曲线图;Figure 5 shows the capacitance-pressure curve of the basic model of the pressure sensor shown in Figure 1;
图6表示图1所述的压力传感器基础模型与与普通压力传感器的电容-压力曲线对比图;Figure 6 shows a comparison chart between the basic model of the pressure sensor described in Figure 1 and the capacitance-pressure curve of an ordinary pressure sensor;
图7表示本申请提供的另外一种压力传感器基础模型的结构示意图;Figure 7 shows a schematic structural diagram of another pressure sensor basic model provided by this application;
图8表示图7所示的基础模型的使用状态图;Figure 8 shows the usage state diagram of the basic model shown in Figure 7;
图9表示图7所示的压力传感器基础模型的电容-压力曲线图;Figure 9 shows the capacitance-pressure curve of the basic model of the pressure sensor shown in Figure 7;
图10表示图7所述的压力传感器基础模型与与普通压力传感器的电容-压力曲线对比图。Figure 10 shows a comparison diagram of the capacitance-pressure curve of the basic model of the pressure sensor described in Figure 7 and that of an ordinary pressure sensor.
具体实施方式Detailed ways
下面将结合本申请实施例中的附图,对本申请实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例是本申请一部分实施例,而不是全部的实施例。基于本申请中的实施例,本领域普通技术人员在没有作出创造性劳动前提下所获得的所有其他实施例,都属于本申请保护的范围。The technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present application. Obviously, the described embodiments are part of the embodiments of the present application, rather than all of the embodiments. Based on the embodiments in this application, all other embodiments obtained by those of ordinary skill in the art without creative efforts fall within the scope of protection of this application.
请参阅图1-10,本发明提供一种介电常数可变的压力传感器模拟系统的设计方法,包括如下步骤:Please refer to Figures 1-10. The present invention provides a design method for a pressure sensor simulation system with variable dielectric constant, which includes the following steps:
S1:构建压力传感器的基础模型100,所述基础模型100包括支撑框架10及两个柔性电极20,所述支撑框架10围成两端开口的圆柱形腔室11,两个所述柔性电极20分别覆盖并完全封闭所述腔室11的两端开口,所述腔室11内设置为真空状态;两个所述柔性电极20间隔形成电容器,至少一个所述柔性电极20用于感知压力产生形变,至少一个所述柔性电极20位于所述腔室11内的一面贴设有薄膜状的绝缘层30。S1: Construct a basic model 100 of the pressure sensor. The basic model 100 includes a support frame 10 and two flexible electrodes 20. The support frame 10 surrounds a cylindrical chamber 11 open at both ends. The two flexible electrodes 20 Cover and completely seal the openings at both ends of the chamber 11 respectively, and the chamber 11 is set to a vacuum state; two flexible electrodes 20 are spaced apart to form a capacitor, and at least one of the flexible electrodes 20 is used to sense pressure and generate deformation. , at least one side of the flexible electrode 20 located in the chamber 11 is attached with a film-like insulating layer 30 .
所述压力传感器的基础模型100中,采用柔性电极来等效替代传统非接触式压力传感器中的振膜、连接件及电极的组合结构,整体结构上更为简单。柔性电极20直接感知压力,受到压力作用后产生形变,从而使两个所述柔性电极20之间的电容产生变化。传统的非接触式压力传感器中,通过振膜来感知压力,振膜的形变需要通过相应的连接结构传递至电极,使得振膜的形变与电容的变化并非直接产生联系,振膜对电容变化的影响还受制于振膜与极板之间的连接结构。而本申请提供的压力传感器的基础模型100中,压力直接作用于柔性电极20上,相比于传统的非接触式压力传感器,可以获取到更为灵敏的压力变化,可以提升检测的灵敏度。In the basic model 100 of the pressure sensor, flexible electrodes are used to equivalently replace the combined structure of the diaphragm, connectors and electrodes in the traditional non-contact pressure sensor, making the overall structure simpler. The flexible electrode 20 directly senses pressure and deforms after being affected by the pressure, thereby causing the capacitance between the two flexible electrodes 20 to change. In the traditional non-contact pressure sensor, the pressure is sensed through the diaphragm. The deformation of the diaphragm needs to be transmitted to the electrode through the corresponding connection structure, so that the deformation of the diaphragm is not directly related to the change of capacitance. The diaphragm has an impact on the capacitance change. The influence is also limited by the connection structure between the diaphragm and the plate. In the basic model 100 of the pressure sensor provided by this application, the pressure directly acts on the flexible electrode 20. Compared with the traditional non-contact pressure sensor, more sensitive pressure changes can be obtained, which can improve the detection sensitivity.
进一步的,所述压力传感器的基础模型100为接触式压力传感器,即在测量过程中,两个所述柔性电极20之间可以发生接触,并且在接触之后,随着接触面积的增加,仍然可以带来电容的变化,延续测量的过程。Furthermore, the basic model 100 of the pressure sensor is a contact pressure sensor, that is, during the measurement process, contact can occur between the two flexible electrodes 20, and after the contact, as the contact area increases, contact can still occur. Bring about changes in capacitance and continue the measurement process.
所述柔性电极20包括与所述腔室11正对设置的形变区21及位于所述形变区域21外围的固定区22,所述固定区22与所述支撑框架10固定,所述形变区21的形状与所述腔室11的截面形状相同,均为圆形。在使用过程中,所述形变区21用于感知压力产生形变,从而使两个所述柔性电极20之间的间距发生变化,带来电容的变化;所述固定区22仅仅用于形成固定作用,不产生形变。The flexible electrode 20 includes a deformation area 21 located opposite the chamber 11 and a fixed area 22 located on the periphery of the deformation area 21. The fixed area 22 is fixed to the support frame 10. The deformation area 21 The shape is the same as the cross-sectional shape of the chamber 11, which is circular. During use, the deformation zone 21 is used to sense pressure and deform, thereby changing the distance between the two flexible electrodes 20 and causing changes in capacitance; the fixation zone 22 is only used to form a fixation effect. , no deformation occurs.
所述压力传感器的基础模型100在使用过程中,包括以下几种状态:During use, the basic model 100 of the pressure sensor includes the following states:
(1)临界状态:所述形变区21上所受压力等于临界压力,两个所述柔性电极20正好接触,但是不产生挤压,临界压力Pt表示为:(1) Critical state: The pressure on the deformation zone 21 is equal to the critical pressure. The two flexible electrodes 20 are in perfect contact but do not squeeze. The critical pressure P t is expressed as:
式中,D表示所述形变区21的弯曲刚度;g表示所述腔室的高度;a表示所述形变区21的半径;In the formula, D represents the bending stiffness of the deformation zone 21; g represents the height of the chamber; a represents the radius of the deformation zone 21;
(2)低压状态:所述形变区21上所受压力小于临界压力,两个所述柔性电极20未发生接触,保持一定的间距;(2) Low pressure state: the pressure on the deformation zone 21 is less than the critical pressure, and the two flexible electrodes 20 do not come into contact and maintain a certain distance;
(3)高压状态:所述形变区上21所受压力大于临界压力,两个所述柔性电极20发生接触,并生产挤压。(3) High-pressure state: the pressure on the deformation zone 21 is greater than the critical pressure, and the two flexible electrodes 20 come into contact and are extruded.
至少一个所述柔性电极20位于所述腔室11内的一面贴设有薄膜状的绝缘层30。需要说明的是,当所述柔性电极20表面未贴设绝缘层30的时候,其本身为一块导电极片,两个导电极片间隔形成电容器,当所述柔性电极表面贴设绝缘层30后,即包括导电极片和绝缘层的双层结构,当两个柔性电极接触时,两个导电极片之间并未发生接触,而是通过绝缘层进行分隔。At least one side of the flexible electrode 20 located in the chamber 11 is attached with a film-like insulating layer 30 . It should be noted that when the insulating layer 30 is not attached to the surface of the flexible electrode 20, it itself is a conductive electrode, and the two conductive electrodes are spaced apart to form a capacitor. When the insulating layer 30 is attached to the surface of the flexible electrode, , that is, a double-layer structure including a conductive electrode and an insulating layer. When two flexible electrodes come into contact, there is no contact between the two conductive electrodes, but they are separated by the insulating layer.
在传统的非接触式压力传感器中,通过振膜驱动两个电极平行运动,一旦两个电极发生接触,使得两个电极之间的间距不会再发生变化,整个传感器的输出电容也不再发生变化,达到传感器的压力测量的阈值。因此,若要获得较大的测量量程,就需要增加两个电极之间间距,使电极获得较大的变化行程,该种方式会增加传感器的体积。而本申请中,由所述柔性电极20直接产生形变,由于所述柔性电极20中心位置的自由度大于边缘位置的自由度,使得中心位置的形变量大于边缘位置的形变量,因此,两个所述柔性电极20的中心位置会率先接触,随着测量压力的增加,接触部分的面积也逐渐增加,在两个电极接触后仍然可以产生电容变化,保持持续的测量,在两个电极相同初始间距的情况下,可以极大的增加传感器的测量量程,适用于大压力的测量。In a traditional non-contact pressure sensor, the diaphragm drives two electrodes to move in parallel. Once the two electrodes come into contact, the distance between the two electrodes will not change, and the output capacitance of the entire sensor will no longer change. changes to reach the sensor's pressure measurement threshold. Therefore, if you want to obtain a larger measurement range, you need to increase the distance between the two electrodes so that the electrodes can obtain a larger change stroke. This method will increase the volume of the sensor. In this application, the deformation is directly generated by the flexible electrode 20. Since the degree of freedom at the center position of the flexible electrode 20 is greater than the degree of freedom at the edge position, the deformation amount at the center position is greater than the deformation amount at the edge position. Therefore, the two The center position of the flexible electrode 20 will be in contact first. As the measurement pressure increases, the area of the contact part also gradually increases. After the two electrodes are in contact, capacitance changes can still occur to maintain continuous measurement. When the two electrodes are initially the same, In the case of spacing, the measurement range of the sensor can be greatly increased, which is suitable for measurement of large pressure.
受到压力P作用时,所述形变区21在与圆心距离r处位置的挠度w(r)表示为:When subjected to pressure P, the deflection w (r) of the deformation zone 21 at a distance r from the center of the circle is expressed as:
式中,w0表示所述形变区21中心的挠度;In the formula, w 0 represents the deflection of the center of the deformation zone 21;
其中,in,
式中,E、v、h分别表示所述形变区21的杨氏模量、泊松比和厚度。In the formula, E, v, and h represent the Young's modulus, Poisson's ratio, and thickness of the deformation zone 21 respectively.
S2:设定所述绝缘层的介电常数可变,以ε(r)表征所述绝缘层上与圆心距离r处位置的相对介电常数,构建所述基础模型在接触状态下输出电容的表达式,其中所述输出电容包括接触区域输出电容和未接触区域输出电容,以接触区域输出电容与压力线性变化为条件,推导所述相对介电常数ε(r)的表达式。S2: Set the dielectric constant of the insulating layer to be variable, use ε (r) to represent the relative dielectric constant of the position on the insulating layer at a distance r from the center of the circle, and construct the output capacitance of the basic model in the contact state. Expression, wherein the output capacitance includes a contact area output capacitance and a non-contact area output capacitance, and based on the condition that the contact area output capacitance changes linearly with pressure, the expression of the relative dielectric constant ε (r) is derived.
在传统的非接触式压力传感器中,所述绝缘层30通常采用单一材料,其各处的相对介电常数固定,通过电极间距变化使输出电容改变,输出电容与电极间距成反比例关系,因此传统结构的压力传感器线性度差。同样的,在接触式压力传感器中,如果所述绝缘层30的介电常数保持恒定,两个所述电极20接触后,接触区域不会再产生新的形变,使得接触区域所形成的电容器的间距恒定为所述绝缘层30的厚度,随着压力继续增大,接触面积进一步扩大,由于薄膜应力使得两个所述电极20接触面积变化与压力之间的非线性增大,导致接触区域的电容变化与压力的线性度变差;未接触区域的电容随着压力增大而增大随后基本保持不变,使得整体的输出电容的线性度降低。In traditional non-contact pressure sensors, the insulating layer 30 usually uses a single material, and the relative dielectric constant is fixed everywhere. The output capacitance changes through changes in the electrode spacing. The output capacitance is inversely proportional to the electrode spacing. Therefore, the traditional The structural pressure sensor has poor linearity. Similarly, in the contact pressure sensor, if the dielectric constant of the insulating layer 30 remains constant, after the two electrodes 20 come into contact, the contact area will not produce new deformation, so that the capacitor formed by the contact area will The spacing is constant to the thickness of the insulating layer 30. As the pressure continues to increase, the contact area further expands. Due to the film stress, the nonlinearity between the change of the contact area of the two electrodes 20 and the pressure increases, resulting in an increase in the contact area. The linearity of capacitance change and pressure becomes worse; the capacitance of the uncontacted area increases as the pressure increases and then remains basically unchanged, causing the linearity of the overall output capacitance to decrease.
在本申请提供的基础模型100中,所述压力传感器的基础模型100的输出电容包括两部分,一部分是接触部分的输出电容,另一部分是未接触部分的输出电容。由于应力的存在,所述柔性电极20在变形过程中,接触部分的面积与压力之间容易产生非线性变化,进而导致接触部分电容和外界之间形成非线性变化。将所述绝缘层30的相对介电常数设置为可变的形式,在ε(r)的推导过程中,直接以输出部分电容线性变化为条件,推导ε(r)与r的函数关系,并以此来指导所述绝缘层30任意位置的介电常数的设置,可以很好弥补由于应力存在导致的接触部分电容的非线性,使得接触部分的输出电容与外界压力之间可以保持较高的线性度。未接触部分的间距逐渐减小,同时未接触部分的面积也在逐渐减小,未接触部分电容先增大后基本维持不变,由于ε(r)的设置,未接触部分电容-压力曲线保持增大的趋势,且线性度得到改善,所述压力传感器的基础模型100输出的总电容为接触部分电容和未接触部分电容之和,因此本申请提出的所述压力传感器的基础模型100具有高线性。In the basic model 100 provided in this application, the output capacitance of the basic model 100 of the pressure sensor includes two parts, one part is the output capacitance of the contact part, and the other part is the output capacitance of the non-contact part. Due to the existence of stress, during the deformation process of the flexible electrode 20, nonlinear changes are likely to occur between the area and pressure of the contact part, which in turn leads to nonlinear changes between the capacitance of the contact part and the outside world. The relative dielectric constant of the insulating layer 30 is set to a variable form. In the derivation process of ε (r) , the functional relationship between ε (r) and r is directly derived based on the linear change of the output partial capacitance, and This guides the setting of the dielectric constant at any position of the insulating layer 30, which can well compensate for the nonlinearity of the capacitance of the contact part due to the existence of stress, so that the output capacitance of the contact part can maintain a high relationship with the external pressure. linearity. The distance between the uncontacted parts gradually decreases, and the area of the uncontacted parts also gradually decreases. The capacitance of the uncontacted parts increases first and then remains basically unchanged. Due to the setting of ε (r) , the capacitance-pressure curve of the uncontacted parts remains unchanged. The total capacitance output by the basic model 100 of the pressure sensor is the sum of the capacitance of the contact part and the capacitance of the non-contact part. Therefore, the basic model 100 of the pressure sensor proposed in this application has high Linear.
优选的,所述绝缘层30完全覆盖所述柔性电极20在所述腔室11内裸漏的表面。Preferably, the insulating layer 30 completely covers the exposed surface of the flexible electrode 20 in the chamber 11 .
S3:根据ε(r)的表达式设定所述绝缘层上任意位置处的介电常数,完成所述基础模型的构建,对所述压力传感器模拟系统进行仿真试验,测定性能,依照测试结果对所述基础模型的属性参数进行优化调整,得到最终的模拟系统。S3: Set the dielectric constant at any position on the insulating layer according to the expression of ε (r) , complete the construction of the basic model, conduct a simulation test on the pressure sensor simulation system, measure the performance, and according to the test results Optimize and adjust the attribute parameters of the basic model to obtain the final simulation system.
仿真试验的过程采用本领域的常规技术,例如可以采用COSMOL软件进行。最终的模拟系统可以用于指导所述压力传感器后续的生产,为压力传感器的设计提供理论的指导依据。The process of simulation test adopts conventional technology in this field, for example, COSMOL software can be used. The final simulation system can be used to guide the subsequent production of the pressure sensor and provide theoretical guidance for the design of the pressure sensor.
请参阅图1-6,在本申请的一个实施例中,两个所述柔性电极20均用于感知压力产生形变,两个所述柔性电极20的结构相同,两个所述柔性电极20位于所述腔室11内的一面贴均贴设有所述绝缘层30,两个所述柔性电极20上绝缘层的厚度相等。Please refer to Figures 1-6. In one embodiment of the present application, the two flexible electrodes 20 are both used to sense pressure and produce deformation. The two flexible electrodes 20 have the same structure. The two flexible electrodes 20 are located at The insulating layer 30 is attached to both sides of the chamber 11 , and the thickness of the insulating layer on the two flexible electrodes 20 is equal.
从图5可以看出,接触部分电容可以保持较高的线性度,而未接触部分电容随着压力的增大而增加,且线性度得到改善;从图6可以看出,与普通接触式压力传感器相比,本实施例的线性度为1.2%,普通接触器压力传感器的线性度为8.4%,本实施例具有更高的线性度。It can be seen from Figure 5 that the capacitance of the contact part can maintain a high linearity, while the capacitance of the non-contact part increases with the increase of pressure, and the linearity is improved; as can be seen from Figure 6, compared with ordinary contact pressure Compared with the sensor, the linearity of this embodiment is 1.2% and the linearity of the ordinary contactor pressure sensor is 8.4%. This embodiment has higher linearity.
未接触状态下:Without contact:
所述压力传感器的输出电容:The output capacitance of the pressure sensor:
在接触状态下:In contact state:
所述压力传感器的输出电容C2包括两部分:第一部分是接触区域电容Ct;第二部分是未接触区域电容Cut;C2=Ct+Cut。The output capacitance C 2 of the pressure sensor includes two parts: the first part is the contact area capacitance C t ; the second part is the non-contact area capacitance C ut ; C 2 =C t +C ut .
其中,in,
式中,at表示接触区域半径, In the formula, a t represents the radius of the contact area,
式中, In the formula,
由于绝缘层的相对介电常数ε(r)是r的函数,因此接触区域电容Ct还可以改写为:Since the relative dielectric constant ε (r) of the insulating layer is a function of r, the contact area capacitance C t can also be rewritten as:
对Ct取接触区域半径at的微分可得:Taking the differential of the contact area radius a t for C t we can get:
在接触区域输出电容与压力线性变化的条件下,接触区域半径at与压力P需要满足线性的函数关系,因此将上式进一步改写为:Under the condition that the output capacitance of the contact area changes linearly with the pressure, the radius of the contact area a t and the pressure P need to satisfy a linear functional relationship, so the above equation is further rewritten as:
则:but:
其中,表示所述压力传感器接触区域的输出灵敏度;对于接触区域而言,r=at,则上式可以简化为:in, Represents the output sensitivity of the contact area of the pressure sensor; for the contact area, r= at , then the above formula can be simplified to:
请参阅7-10,在本申请的另外一个实施例中,其中一个所述柔性电极20用于感知压力产生形变,另一个所述柔性电极20通过基底40与外界隔绝,不受压力作用,所述绝缘层30设置于与所述基底40连接的柔性电极20上。Please refer to 7-10. In another embodiment of the present application, one of the flexible electrodes 20 is used to sense pressure and produce deformation, and the other flexible electrode 20 is isolated from the outside world through the base 40 and is not affected by pressure. The insulating layer 30 is disposed on the flexible electrode 20 connected to the base 40 .
从图9可以看出,接触部分电容可以保持较高的线性度,而未接触部分电容随着压力的增大而增加,且线性度得到改善;从图10可以看出,与普通接触式压力传感器相比,本实施例的线性度为1.8%,普通接触式压力传感器的线性度为8.4%,本实施例具有更高的线性度。It can be seen from Figure 9 that the capacitance of the contact part can maintain a high linearity, while the capacitance of the non-contact part increases with the increase of pressure, and the linearity is improved; as can be seen from Figure 10, compared with ordinary contact pressure Compared with the sensor, the linearity of this embodiment is 1.8% and the linearity of the ordinary contact pressure sensor is 8.4%. This embodiment has higher linearity.
在未接触状态下,所述压力传感器输出的电容C1表示为:In the non-contact state, the capacitance C 1 output by the pressure sensor is expressed as:
式中,ε0表示真空介电常数;tox表示所述绝缘层的厚度,θ表示圆心角。未接触状态下所述压力传感器的输出电容与电极间距成反比例关系,因此输出的电容与压力之间存在高度非线性。In the formula, ε 0 represents the vacuum dielectric constant; t ox represents the thickness of the insulating layer, and θ represents the central angle. In the non-contact state, the output capacitance of the pressure sensor is inversely proportional to the electrode spacing, so there is a high degree of nonlinearity between the output capacitance and pressure.
在接触状态下:In contact state:
所述压力传感器的输出电容C2包括两部分:第一部分是接触区域电容Ct;第二部分是未接触区域电容Cut;C2=Ct+Cut。The output capacitance C 2 of the pressure sensor includes two parts: the first part is the contact area capacitance C t ; the second part is the non-contact area capacitance C ut ; C 2 =C t +C ut .
其中,in,
式中,at表示接触区域半径, In the formula, a t represents the radius of the contact area,
式中, In the formula,
由于绝缘层的相对介电常数ε(r)是r的函数,因此接触区域电容Ct还可以改写为:Since the relative dielectric constant ε (r) of the insulating layer is a function of r, the contact area capacitance C t can also be rewritten as:
对Ct取接触区域半径at的微分可得:Taking the differential of the contact area radius a t for C t we can get:
接触区域半径at是压力P的函数,在接触区域输出电容与压力线性变化的条件下,因此将上式进一步改写为:The radius of the contact area a t is a function of the pressure P. Under the condition that the output capacitance of the contact area changes linearly with the pressure, the above equation is further rewritten as:
则:but:
其中,表示所述压力传感器接触区域的输出灵敏度;对于接触区域而言,r=at,则上式可以简化为:in, Represents the output sensitivity of the contact area of the pressure sensor; for the contact area, r= at , then the above formula can be simplified to:
在前一实施例中,两个所述柔性电极20且均贴设有绝缘层30,因此为了适应该种形变方式,所述腔室11需要选择更大的高度,所述绝缘层30的厚度需要设置的更小,例如腔室高度为后一实施例中腔室高度的两倍,绝缘层厚度为后一实施例中绝缘层厚度的二分之一。随着腔室高度的增加,可以降低非接触区域电容Cut的值,使得前一实施例相比于后一实施例可以取得更好的线性度。In the previous embodiment, the two flexible electrodes 20 are both attached with an insulating layer 30. Therefore, in order to adapt to this deformation mode, the chamber 11 needs to select a larger height. The thickness of the insulating layer 30 It needs to be set smaller, for example, the height of the chamber is twice the height of the chamber in the latter embodiment, and the thickness of the insulating layer is half of the thickness of the insulating layer in the latter embodiment. As the height of the chamber increases, the value of the capacitance C ut of the non-contact area can be reduced, so that the former embodiment can achieve better linearity than the latter embodiment.
需要说明的是,使用最小二乘法对传感器的输出电容-压力曲线进行拟合,用下述公式计算非线性(NL)的百分比:It should be noted that the least squares method is used to fit the output capacitance-pressure curve of the sensor, and the percentage of nonlinearity (NL) is calculated using the following formula:
其中,Cmax和Cmin是区间中的最大和最小电容,|ΔC+|和|ΔC-|是拟合直线与实际值的最大和最小偏差。Among them, C max and C min are the maximum and minimum capacitance in the interval, |ΔC + | and |ΔC - | are the maximum and minimum deviations of the fitted straight line from the actual value.
上面结合附图对本申请的实施例进行了描述,但是本申请并不局限于上述的具体实施方式,上述的具体实施方式仅仅是示意性的,而不是限制性的,本领域的普通技术人员在本申请的启示下,在不脱离本申请宗旨和权利要求所保护的范围情况下,还可做出很多形式,均属于本申请的保护之内。The embodiments of the present application have been described above in conjunction with the accompanying drawings. However, the present application is not limited to the above-mentioned specific implementations. The above-mentioned specific implementations are only illustrative and not restrictive. Those of ordinary skill in the art will Inspired by this application, many forms can be made without departing from the purpose of this application and the scope protected by the claims, all of which fall within the protection of this application.
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