CN105486378B - A method of carrying out level gauging using plate capacitor formula sensor - Google Patents
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Abstract
本发明提供了一种利用板式电容式传感器进行液位测量的方法,该方法包括:预先将板式电容式传感器安装于LNG车载瓶内腔中;利用两个测试探头分别对板式电容式传感器的第一直角梯形极板和第二直角梯形极板的电容值进行实时同步测量;根据第一直角梯形极板和第二直角梯形极板的电容值以及第一直角梯形极板与第二直角梯形极板的极板板面的高,获得LNG车载瓶的液位高度。本发明的上述技术能够消除板式电容边缘效应所带来的测量误差。
The invention provides a method for measuring liquid level by using a plate-type capacitive sensor. The method includes: installing the plate-type capacitive sensor in the inner cavity of an LNG vehicle bottle in advance; The capacitance values of the right-angled trapezoidal plate and the second right-angled trapezoidal plate are measured simultaneously in real time; according to the capacitance values of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate The height of the plate surface of the plate is used to obtain the liquid level height of the LNG vehicle bottle. The above technology of the present invention can eliminate the measurement error caused by the edge effect of plate capacitance.
Description
技术领域technical field
本发明涉及液化天然气技术,尤其涉及一种利用板式电容式传感器进行液位测量的方法。The invention relates to liquefied natural gas technology, in particular to a method for measuring liquid level by using a plate-type capacitive sensor.
背景技术Background technique
液化天然气(简称LNG)汽车发展迅速,为了保证汽车安全可靠地行驶,司机需要实时掌握LNG的使用状况,避免一些意外情况的发生。为能实时显示LNG车载瓶中的液位高度,通常还配备有液位检测仪。目前所用的液位检测仪包括:安装于LNG车载瓶内的传感器装置,传感器装置外接信号变送器,信号变送器与液位显示器相连接,其中LNG车载瓶所用的传感器作为检测仪中的主要组成部件,安装于车载瓶中。现在有一种新型液位传感器,采用矩形板式,其中一块电容板从对角线割开,形成两块有效面积大小相等、对称布置的三角形极板,利用两个被测探头分别对两三角形极板的电容值进行同步测量,而且两块电容板上均有一层绝缘层。Liquefied natural gas (LNG for short) vehicles are developing rapidly. In order to ensure the safe and reliable driving of vehicles, drivers need to grasp the usage status of LNG in real time to avoid some accidents. In order to display the liquid level in the LNG vehicle bottle in real time, it is usually equipped with a liquid level detector. The currently used liquid level detector includes: a sensor device installed in the LNG vehicle bottle, the sensor device is externally connected to a signal transmitter, and the signal transmitter is connected to the liquid level display, wherein the sensor used in the LNG vehicle bottle is used as the sensor in the detector. The main components are installed in the car bottle. Now there is a new type of liquid level sensor, which adopts a rectangular plate type. One of the capacitor plates is cut diagonally to form two triangular plates with equal effective areas and symmetrical arrangements. The capacitance value is measured synchronously, and there is an insulating layer on both capacitor plates.
应用这种新型液位传感器,当LNG车载瓶中的液体高度发生变化时,两三角形传感器同时将LNG的液位高度信号转换为电容信号经两被测探头传至信号变送器中,其测量结果变化趋势相反。在信号变送器中通过对电容信号进行微分处理,使液位的高度仅与两电容的微变之比相关,而与LNG的介电常数大小无关,从而实现与LNG无关的液位测量。With this new type of liquid level sensor, when the liquid height in the LNG vehicle bottle changes, the two triangular sensors simultaneously convert the LNG liquid level signal into a capacitance signal and transmit it to the signal transmitter through the two tested probes. The results show the opposite trend. In the signal transmitter, through the differential processing of the capacitance signal, the height of the liquid level is only related to the ratio of the micro-changes of the two capacitances, and has nothing to do with the dielectric constant of LNG, thereby realizing liquid level measurement independent of LNG.
然而,由于这种传感器是在平行板电容器的基础上进行改进的,而平行板电容器存在的最大缺陷就是边缘效应的影响。平行板电容器边缘效应的存在,使其实际电容比忽略边缘效应时的理想电容大,这是由于平行板电容的边缘效应造成了电容附加值的不同而产生的。由于边缘效应而产生的附加电容使实际电容值大于理想电容值,若直接用忽略边缘效应时的理想平行板电容公式去进行计算,其结果就会存在误差,所以边缘效应的影响不可忽略。斜对角线式平行板的边缘效应会对液位测量造成较大影响,尤其当液位高度处于最高或最低位置时,平行板的边缘效应会对测量精度造成更大的影响。However, since this sensor is improved on the basis of parallel-plate capacitors, the biggest defect of parallel-plate capacitors is the influence of edge effects. The existence of the edge effect of the parallel plate capacitor makes the actual capacitance larger than the ideal capacitance when the edge effect is ignored, which is caused by the difference in the added value of the capacitance caused by the edge effect of the parallel plate capacitor. The additional capacitance generated due to the edge effect makes the actual capacitance value greater than the ideal capacitance value. If you directly use the ideal parallel plate capacitance formula when the edge effect is ignored, there will be errors in the result, so the influence of the edge effect cannot be ignored. The edge effect of the diagonal parallel plate will have a greater impact on the liquid level measurement, especially when the liquid level is at the highest or lowest position, the edge effect of the parallel plate will have a greater impact on the measurement accuracy.
发明内容Contents of the invention
在下文中给出了关于本发明的简要概述,以便提供关于本发明的某些方面的基本理解。应当理解,这个概述并不是关于本发明的穷举性概述。它并不是意图确定本发明的关键或重要部分,也不是意图限定本发明的范围。其目的仅仅是以简化的形式给出某些概念,以此作为稍后论述的更详细描述的前序。A brief overview of the invention is given below in order to provide a basic understanding of some aspects of the invention. It should be understood that this summary is not an exhaustive overview of the invention. It is not intended to identify key or critical parts of the invention nor to delineate the scope of the invention. Its purpose is merely to present some concepts in a simplified form as a prelude to the more detailed description that is discussed later.
鉴于此,本发明提供了一种利用板式电容式传感器进行液位测量的方法,以消除板式电容边缘效应所带来的测量误差。In view of this, the present invention provides a liquid level measurement method using a plate capacitance sensor to eliminate the measurement error caused by the edge effect of the plate capacitance.
根据本发明的一个方面,提供了一种利用板式电容式传感器进行液位测量的方法,其特征在于,所述板式电容式传感器包括:第一直角梯形极板、第二直角梯形极板以及矩形极板,所述第一直角梯形极板和所述第二直角梯形极板的形状相同且对称布置;所述利用板式电容式传感器进行液位测量的方法包括:预先将所述板式电容式传感器按如下方式安装于LNG车载瓶内腔中:所述第一直角梯形极板和所述第二直角梯形极板的板面位于同一平面内,所述第一直角梯形极板和所述第二直角梯形极板各自的斜边相对并且平行设置,所述第一直角梯形极板和所述第二直角梯形极板的上、下底边分别与所述LNG车载瓶内腔中的液面平行;所述第一直角梯形极板的上底边与所述第二直角梯形极板的下底边位于同一直线上,所述第一直角梯形极板的下底边与所述第二直角梯形极板的上底边位于同一直线上;所述矩形极板的板面与所述第一直角梯形极板和所述第二直角梯形极板的板面平行布置,并且所述矩形极板的板面与所述第一直角梯形极板和所述第二直角梯形极板的板面相对;利用两个测试探头分别对所述第一直角梯形极板和所述第二直角梯形极板的电容值进行实时同步测量;根据所述第一直角梯形极板和所述第二直角梯形极板的电容值以及所述第一直角梯形极板与所述第二直角梯形极板的极板板面的高,获得所述LNG车载瓶的液位高度。According to one aspect of the present invention, a method for measuring liquid level using a plate-type capacitive sensor is provided, wherein the plate-type capacitive sensor includes: a first right-angle trapezoidal plate, a second right-angled trapezoidal plate, and a rectangular Pole plate, the shape of the first right-angle trapezoidal plate and the second right-angled trapezoidal plate are the same and arranged symmetrically; the method for using a plate-type capacitive sensor for liquid level measurement includes: pre-installing the plate-type capacitive sensor It is installed in the inner cavity of the LNG vehicle-mounted bottle as follows: the plates of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate are located in the same plane, and the first right-angled trapezoidal plate and the second The respective hypotenuses of the right-angled trapezoidal pole plates are opposite and arranged in parallel, and the upper and lower bottom edges of the first right-angled trapezoidal pole plate and the second right-angled trapezoidal pole plate are respectively parallel to the liquid level in the inner cavity of the LNG vehicle-mounted bottle The upper base of the first right-angled trapezoidal pole plate is located on the same line as the lower base of the second right-angled trapezoidal pole plate, and the lower base of the first right-angled trapezoidal pole plate is in line with the second right-angled trapezoidal pole plate. The upper base of the pole plate is located on the same straight line; the plate surface of the rectangular pole plate is arranged parallel to the plate surfaces of the first right-angled trapezoidal pole plate and the second right-angled trapezoidal pole plate, and the surface of the rectangular pole plate The plate surface is opposite to the plate surfaces of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate; two test probes are used to test the first right-angled trapezoidal plate and the second right-angled trapezoidal plate respectively Real-time synchronous measurement of the capacitance value; according to the capacitance value of the first right-angle trapezoidal plate and the second right-angled trapezoidal plate and the plate plate of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate The height of the surface is used to obtain the liquid level height of the LNG vehicle bottle.
进一步地,所述第一直角梯形极板的板面与所述矩形极板的板面之间的距离为d;所述第一直角梯形极板和所述第二直角梯形极板的上底边的长度均为d/2,所述第一直角梯形极板和所述第二直角梯形极板的高均为H,第一直角梯形极板和所述第二直角梯形极板的下底边均为D+d/2;所述矩形极板的长边的长度为D+d,所述矩形极板的短边的长度为H,且所述矩形极板的短边与所述LNG车载瓶内腔中的液面垂直;其中,D、H以及d均为正数。Further, the distance between the plate surface of the first right-angled trapezoidal plate and the plate surface of the rectangular plate is d; the upper bottom of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate The length of the sides is d/2, the heights of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate are H, and the bottoms of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate are Both sides are D+d/2; the length of the long side of the rectangular pole plate is D+d, the length of the short side of the rectangular pole plate is H, and the short side of the rectangular pole plate and the LNG The liquid level in the inner cavity of the vehicle bottle is vertical; wherein, D, H and d are all positive numbers.
进一步地,所述LNG车载瓶的液位高度根据如下公式获得:Further, the liquid level of the LNG vehicle bottle is obtained according to the following formula:
其中,D为所述第一直角梯形极板的下底与上底之差,所述第一直角梯形极板和所述第二直角梯形极板的外壁上均设置有绝缘层,d0为第一直角梯形极板外壁上的绝缘层表面到矩形极板板面间的距离,d2为绝缘层的厚度,ε0为空气的介电常数,ε2为绝缘层的介电常数;所述矩形极板的长边的长度为D+d,所述矩形极板的短边的长度为H,且所述矩形极板的短边与所述LNG车载瓶内腔中的液面垂直。in, D is the difference between the lower bottom and the upper bottom of the first right-angled trapezoidal plate, an insulating layer is arranged on the outer walls of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate, and d0 is the first The distance between the surface of the insulating layer on the outer wall of the right-angled trapezoidal plate and the face of the rectangular plate, d 2 is the thickness of the insulating layer, ε 0 is the dielectric constant of air, and ε 2 is the dielectric constant of the insulating layer; The length of the long side of the pole plate is D+d, the length of the short side of the rectangular pole plate is H, and the short side of the rectangular pole plate is perpendicular to the liquid level in the inner cavity of the LNG vehicle-mounted bottle.
进一步地,所述第一直角梯形极板和第二直角梯形极板各自的斜边之间的距离的取值范围为(0mm,5mm]。Further, the range of the distance between the respective hypotenuses of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate is (0mm, 5mm].
进一步地,H等于LNG车载瓶内胆圆形截面的直径。Further, H is equal to the diameter of the circular section of the LNG vehicle-mounted bottle liner.
进一步地,D等于80mm;H的数值为以下之一:500mm;600mm;650mm。Further, D is equal to 80mm; the value of H is one of the following: 500mm; 600mm; 650mm.
由此,应用本发明的利用板式电容式传感器进行液位测量的方法,能够通过两个测试探头分别对两梯形极板(即第一直角梯形极板210和第二直角梯形极板220)的电容值进行同步测量,能够消除边缘效应所带来的测量误差,由此能够提高LNG车载瓶液位检测仪的测量精度。Thus, applying the method for measuring liquid level using a plate-type capacitive sensor of the present invention, the two trapezoidal pole plates (that is, the first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 220) can be tested respectively by two test probes. The capacitance value is measured synchronously, which can eliminate the measurement error caused by the edge effect, thereby improving the measurement accuracy of the LNG vehicle-mounted bottle level detector.
此外,通过在梯形极板外壁上设置一层诸如聚四氟乙烯的绝缘层,能够有效避免因LNG中含有杂质而造成的挂壁影响,从而提高了板式电容式传感器的测量准确率,并减小了传感器失效现象的发生概率。In addition, by setting an insulating layer such as polytetrafluoroethylene on the outer wall of the trapezoidal plate, it can effectively avoid the wall-hanging effect caused by impurities in the LNG, thereby improving the measurement accuracy of the plate-type capacitive sensor and reducing the The probability of occurrence of sensor failure is reduced.
通过以下结合附图对本发明的最佳实施例的详细说明,本发明的这些以及其他优点将更加明显。These and other advantages of the present invention will be more apparent through the following detailed description of the preferred embodiments of the present invention with reference to the accompanying drawings.
附图说明Description of drawings
本发明可以通过参考下文中结合附图所给出的描述而得到更好的理解,其中在所有附图中使用了相同或相似的附图标记来表示相同或者相似的部件。所述附图连同下面的详细说明一起包含在本说明书中并且形成本说明书的一部分,而且用来进一步举例说明本发明的优选实施例和解释本发明的原理和优点。在附图中:The present invention can be better understood by referring to the following description given in conjunction with the accompanying drawings, wherein the same or similar reference numerals are used throughout to designate the same or similar parts. The accompanying drawings, together with the following detailed description, are incorporated in and form a part of this specification, and serve to further illustrate preferred embodiments of the invention and explain the principles and advantages of the invention. In the attached picture:
图1是示出本发明的利用板式电容式传感器进行液位测量的方法的示意性处理流程图。Fig. 1 is a schematic process flow chart showing the method for liquid level measurement using a plate-type capacitive sensor according to the present invention.
图2A是示出板式电容式传感器以及包含该板式电容式传感器的液位测量系统的结构示意图;Fig. 2A is a structural schematic diagram showing a plate-type capacitive sensor and a liquid level measurement system including the plate-type capacitive sensor;
图2B是图1所示的板式电容式传感器沿A-A’方向的视图;Fig. 2B is the view along A-A ' direction of plate capacitive sensor shown in Fig. 1;
图2C是示出图1所示的板式电容式传感器一种结构的示意图;Fig. 2C is a schematic diagram showing a structure of the plate capacitive sensor shown in Fig. 1;
图3是板式电容式传感器的静电场示意图;Fig. 3 is the schematic diagram of the electrostatic field of the plate capacitive sensor;
图4是平行板扩展边缘示意图。Fig. 4 is a schematic diagram of an extended edge of a parallel plate.
本领域技术人员应当理解,附图中的元件仅仅是为了简单和清楚起见而示出的,而且不一定是按比例绘制的。例如,附图中某些元件的尺寸可能相对于其他元件放大了,以便有助于提高对本发明实施例的理解。It will be appreciated by those skilled in the art that elements in the figures are illustrated for simplicity and clarity only and have not necessarily been drawn to scale. For example, the dimensions of some of the elements in the figures may be exaggerated relative to other elements to help to improve understanding of the embodiments of the present invention.
具体实施方式Detailed ways
在下文中将结合附图对本发明的示范性实施例进行描述。为了清楚和简明起见,在说明书中并未描述实际实施方式的所有特征。然而,应该了解,在开发任何这种实际实施例的过程中必须做出很多特定于实施方式的决定,以便实现开发人员的具体目标,例如,符合与系统及业务相关的那些限制条件,并且这些限制条件可能会随着实施方式的不同而有所改变。此外,还应该了解,虽然开发工作有可能是非常复杂和费时的,但对得益于本公开内容的本领域技术人员来说,这种开发工作仅仅是例行的任务。Exemplary embodiments of the present invention will be described below with reference to the accompanying drawings. In the interest of clarity and conciseness, not all features of an actual implementation are described in this specification. It should be understood, however, that in developing any such practical embodiment, many implementation-specific decisions must be made in order to achieve the developer's specific goals, such as meeting those constraints related to the system and business, and those Restrictions may vary from implementation to implementation. Moreover, it should also be understood that development work, while potentially complex and time-consuming, would at least be a routine undertaking for those skilled in the art having the benefit of this disclosure.
在此,还需要说明的一点是,为了避免因不必要的细节而模糊了本发明,在附图中仅仅示出了与根据本发明的方案密切相关的装置结构和/或处理步骤,而省略了与本发明关系不大的其他细节。Here, it should also be noted that, in order to avoid obscuring the present invention due to unnecessary details, only the device structure and/or processing steps closely related to the solution according to the present invention are shown in the drawings, and the Other details not relevant to the present invention are described.
本发明的实施例提供了一种利用板式电容式传感器进行液位测量的方法,其特征在于,所述板式电容式传感器包括:第一直角梯形极板、第二直角梯形极板以及矩形极板,所述第一直角梯形极板和所述第二直角梯形极板的形状相同且对称布置;所述利用板式电容式传感器进行液位测量的方法包括:预先将所述板式电容式传感器按如下方式安装于LNG车载瓶内腔中:所述第一直角梯形极板和所述第二直角梯形极板的板面位于同一平面内,所述第一直角梯形极板和所述第二直角梯形极板各自的斜边相对并且平行设置,所述第一直角梯形极板和所述第二直角梯形极板的上、下底边分别与所述LNG车载瓶内腔中的液面平行;所述第一直角梯形极板的上底边与所述第二直角梯形极板的下底边位于同一直线上,所述第一直角梯形极板的下底边与所述第二直角梯形极板的上底边位于同一直线上;所述矩形极板的板面与所述第一直角梯形极板和所述第二直角梯形极板的板面平行布置,并且所述矩形极板的板面与所述第一直角梯形极板和所述第二直角梯形极板的板面相对;利用两个测试探头分别对所述第一直角梯形极板和所述第二直角梯形极板的电容值进行实时同步测量;根据所述第一直角梯形极板和所述第二直角梯形极板的电容值以及所述第一直角梯形极板与所述第二直角梯形极板的极板板面的高,获得所述LNG车载瓶的液位高度。An embodiment of the present invention provides a method for measuring liquid level using a plate-type capacitive sensor, wherein the plate-type capacitive sensor includes: a first right-angled trapezoidal plate, a second right-angled trapezoidal plate, and a rectangular plate , the first right-angled trapezoidal plate and the second right-angled trapezoidal plate have the same shape and are arranged symmetrically; the method for using a plate-type capacitive sensor for liquid level measurement includes: pre-setting the plate-type capacitive sensor as follows Installed in the inner cavity of the LNG vehicle-mounted bottle: the plates of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate are located in the same plane, and the first right-angled trapezoidal plate and the second right-angled trapezoidal plate are The respective hypotenuses of the pole plates are opposite and arranged in parallel, and the upper and lower bottom edges of the first right-angled trapezoidal pole plate and the second right-angled trapezoidal pole plate are respectively parallel to the liquid level in the inner cavity of the LNG vehicle-mounted bottle; The upper base of the first right-angled trapezoidal plate and the lower base of the second right-angled trapezoidal plate are on the same straight line, and the lower base of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate The upper base of the upper edge is located on the same straight line; the plate surface of the rectangular pole plate is arranged parallel to the plate surfaces of the first right-angled trapezoidal pole plate and the second right-angled trapezoidal pole plate, and the plate surface of the rectangular pole plate Opposite to the plate surfaces of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate; using two test probes to measure the capacitance values of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate respectively Carry out real-time synchronous measurement; According to the capacitance value of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate and the difference between the plate surface of the first right-angled trapezoidal plate and the second right-angled trapezoidal plate High, to obtain the liquid level height of the LNG vehicle bottle.
下面,结合图1描述本发明的利用板式电容式传感器进行液位测量的方法(以下简称“液位测量方法”)的一个示例的处理流程。In the following, an exemplary processing flow of a method for measuring liquid level by using a plate-type capacitive sensor (hereinafter referred to as "liquid level measuring method") of the present invention will be described with reference to FIG. 1 .
上述液位测量方法中所利用的板式电容式传感器可以具有如图2A-2C所示的结构。The plate-type capacitive sensor utilized in the above liquid level measurement method may have the structure shown in FIGS. 2A-2C .
如图2A-2C所示,上述板式电容式传感器2可以包括第一直角梯形极板210、第二直角梯形极板220以及矩形极板230,第一直角梯形极板210和第二直角梯形极板220的有效面积相等且对称布置。第一直角梯形极板210和第二直角梯形极板220的形状相同。As shown in Figures 2A-2C, the above-mentioned plate capacitive sensor 2 may include a first right-angle trapezoidal plate 210, a second right-angled trapezoidal plate 220 and a rectangular plate 230, the first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate The effective areas of the plates 220 are equal and arranged symmetrically. The first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 have the same shape.
如图1所示,该液位测量方法首先执行如步骤S110所示的预处理步骤。As shown in FIG. 1 , the liquid level measurement method firstly executes a preprocessing step as shown in step S110 .
在步骤S110中,预先按照如下方式将板式电容式传感器2安装于图2A所示的LNG车载瓶内腔1中:使第一直角梯形极板210和第二直角梯形极板220位于同一平面内,第一直角梯形极板210和第二直角梯形极板220各自的斜边相对并且平行设置,并使得第一直角梯形极板210和第二直角梯形极板220的上、下底边分别与LNG车载瓶内腔1中的液面平行;使得第一直角梯形极板210的上底边与第二直角梯形极板220的下底边位于同一直线上,第一直角梯形极板210的下底边与第二直角梯形极板220的上底边位于同一直线上;使得矩形极板230的板面与第一直角梯形极板210和第二直角梯形极板220的板面平行布置,并使得矩形极板230的板面与第一直角梯形极板210和第二直角梯形极板220的板面相对。In step S110, the plate-type capacitive sensor 2 is preinstalled in the inner chamber 1 of the LNG vehicle bottle shown in FIG. , the respective hypotenuses of the first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 220 are opposite and arranged in parallel, and make the upper and lower bases of the first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 220 respectively and The liquid level in the LNG vehicle-mounted bottle inner chamber 1 is parallel; Make the upper base of the first right-angled trapezoidal pole plate 210 and the lower base of the second right-angled trapezoidal pole plate 220 be located on the same straight line, the bottom of the first right-angled trapezoidal pole plate 210 The upper base of the bottom edge and the second right-angled trapezoidal pole plate 220 is located on the same straight line; The plate surface of the rectangular pole plate 230 is arranged in parallel with the plate surfaces of the first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 220, and The plate surface of the rectangular plate 230 is opposite to the plate surfaces of the first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 .
需要说明的是,下文提到的液面均指LNG车载瓶内腔1中的液面。It should be noted that the liquid level mentioned below all refers to the liquid level in the inner chamber 1 of the LNG vehicle bottle.
在步骤S110中,第一直角梯形极板210和第二直角梯形极板220这两个极板的板面是被布置在同一个平面S0内的,第一直角梯形极板210和第二直角梯形极板220两个板面之间没有覆盖。In step S110, the plate surfaces of the two pole plates of the first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 are arranged in the same plane S0 , the first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 There is no covering between the two plate surfaces of the right-angled trapezoidal plate 220 .
根据一种实现方式,在步骤S110中,第一直角梯形极板210和第二直角梯形极板220各自的极板板面垂直液面设置。这样,在后续进行测量过程中,计算液位高度时所使用的极板高度即为极板板面的高,如图2C所示的H,避免由于极板板面倾斜放置由于高度计算不准确而导致的最终测量不准确的问题,提高了测量准确率和计算效率。According to an implementation manner, in step S110 , the plate surfaces of the first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 are arranged vertically to the liquid surface. In this way, in the subsequent measurement process, the height of the plate used when calculating the liquid level height is the height of the plate surface, as shown in Figure 2C H, to avoid inaccurate height calculation due to the inclined placement of the plate surface The resulting inaccurate final measurement improves the measurement accuracy and calculation efficiency.
根据一种实现方式,在步骤S110中,可以将第一直角梯形极板210和第二直角梯形极板220各自的斜边之间的距离设置在(0mm,5mm]范围内,例如,该距离可以设为1mm。According to one implementation, in step S110, the distance between the respective hypotenuses of the first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 can be set within the range of (0mm, 5mm], for example, the distance Can be set to 1mm.
接着,在步骤S120中,利用两个测试探头(图中未示出)分别对第一直角梯形极板210和第二直角梯形极板220的电容值进行实时同步测量。Next, in step S120, the capacitance values of the first right-angle trapezoidal plate 210 and the second right-angled trapezoidal plate 220 are measured synchronously in real time by using two test probes (not shown in the figure).
然后,在步骤S130中,根据步骤S120中计算得到的第一直角梯形极板210和第二直角梯形极板220的电容值以及第一直角梯形极板210和第二直角梯形极板220的极板板面的高,获得LNG车载瓶的液位高度。处理流程技术结束。这里,“LNG车载瓶的液位高度”也即LNG车载瓶内腔1中的液位高度。Then, in step S130, according to the capacitance values of the first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 calculated in step S120 and the poles of the first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 The height of the plate surface is used to obtain the liquid level height of the LNG vehicle bottle. Processing flow technical end. Here, "the liquid level of the LNG vehicle-mounted bottle" is also the liquid level in the inner chamber 1 of the LNG vehicle-mounted bottle.
这样,通过两个测试探头分别对第一直角梯形极板210和第二直角梯形极板220的电容值进行同步测量。当LNG车载瓶内腔1中的液位高度发生变化时,第一直角梯形极板210和第二直角梯形极板220同时测量的两个电容信号经上述两个测试探头传至如图2A所示的信号变送器3中,这两个电容信号的测量结果变化趋势相反。液位高度的变化使得两个三角形极板的电容随之改变,也就相当于,两个极板分别将LNG的液位高度信号转换为了电容信号。在信号变送器3中,执行步骤S130的处理,计算得到LNG车载瓶的液位高度。In this way, the capacitance values of the first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 are respectively measured synchronously by two test probes. When the liquid level height in the inner chamber 1 of the LNG vehicle-mounted bottle changes, the two capacitance signals measured simultaneously by the first right-angle trapezoidal plate 210 and the second right-angled trapezoidal plate 220 are passed to as shown in Figure 2A through the above-mentioned two test probes. In the signal transmitter 3 shown, the change trends of the measurement results of the two capacitance signals are opposite. The change of the liquid level makes the capacitance of the two triangular plates change accordingly, that is to say, the two plates respectively convert the liquid level signal of LNG into a capacitance signal. In the signal transmitter 3, the processing of step S130 is executed to calculate the liquid level of the LNG vehicle-mounted bottle.
需要说明的是,“第一直角梯形极板210的电容值”是指由第一直角梯形极板210与矩形极板230形成的电容器的电容值,而“第二直角梯形极板220的电容值”是指由第二直角梯形极板220与矩形极板230形成的电容器的电容值。It should be noted that "the capacitance value of the first right-angled trapezoidal plate 210" refers to the capacitance value of the capacitor formed by the first right-angled trapezoidal plate 210 and the rectangular plate 230, and "the capacitance of the second right-angled trapezoidal plate 220 "value" refers to the capacitance value of the capacitor formed by the second right-angled trapezoidal plate 220 and the rectangular plate 230 .
根据一种实现方式,第一直角梯形极板210的板面与矩形极板220的板面之间的距离为d;第一直角梯形极板210和第二直角梯形极板220的上底边的长度均为d/2,第一直角梯形极板210和第二直角梯形极板220的高均为H,第一直角梯形极板210和第二直角梯形极板220的下底边均为D+d/2;矩形极板的长边的长度为D+d,矩形极板的短边的长度为H,且矩形极板的短边与LNG车载瓶内腔中的液面垂直;其中,D、H以及d均为正数。According to one implementation, the distance between the plate surface of the first rectangular trapezoidal plate 210 and the plate surface of the rectangular plate 220 is d; the upper base of the first rectangular trapezoidal plate 210 and the second rectangular trapezoidal plate 220 The lengths are all d/2, the heights of the first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 220 are both H, and the lower bases of the first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 220 are D+d/2; the length of the long side of the rectangular plate is D+d, the length of the short side of the rectangular plate is H, and the short side of the rectangular plate is perpendicular to the liquid level in the inner cavity of the LNG vehicle bottle; where , D, H and d are all positive numbers.
在实际应用中,例如可以利用一个由两个平行矩形极板(矩形的长为D’,宽为H)构成的电容器,将两个平行矩形极板之中的一个矩形极板切为两个完全相同、对称的直角梯形,另一个矩形极板不变。假设已知在使用状态下第一直角梯形极板210的板面与矩形极板230的板面之间的距离d,则令所切得的两个直角梯形中的每一个直角梯形的上底长d/2,下底为D’-d/2,其中D’=D+d,则下底与上底的长度之差为(D’-d/2)-d/2=(D+d-d/2)-d/2=D。In practical applications, for example, a capacitor composed of two parallel rectangular plates (the length of the rectangle is D' and the width is H) can be used to cut one of the two parallel rectangular plates into two Exactly the same, symmetrical right-angled trapezoid, the other rectangular plate remains unchanged. Assuming that the distance d between the plate surface of the first right-angled trapezoidal plate 210 and the plate surface of the rectangular plate 230 is known in use, the upper base of each right-angled trapezoid in the cut two right-angled trapezoids The length is d/2, the bottom is D'-d/2, where D'=D+d, then the difference between the length of the bottom and the bottom is (D'-d/2)-d/2=(D+ d-d/2)-d/2=D.
切开的那个极板被分成两个对称的直角梯形极板,两个直角梯形极板的斜边相对,并使得两个斜边之间具有微小距离(例如1mm),从而可以将两个直角梯形极板作为第一直角梯形极板210和第二直角梯形极板220,而上述另一个矩形极板作为板式电容式传感器2中的矩形极板230。The cut plate is divided into two symmetrical right-angled trapezoidal plates, the hypotenuses of the two right-angled trapezoidal plates are opposite, and there is a small distance (for example, 1mm) between the two hypotenuses, so that the two right-angled The trapezoidal plate is used as the first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 , and the other rectangular plate is used as the rectangular plate 230 in the plate-type capacitive sensor 2 .
其中,H和D的实际长度根据LNG车载瓶内腔1的实际尺寸确定。例如,H可以等于LNG车载瓶内腔1的腔内高(即LNG车载瓶内胆圆形截面的直径),D小于H,这样能够在保证测量准确的同时,节省材料成本。Wherein, the actual lengths of H and D are determined according to the actual size of the inner cavity 1 of the LNG vehicle-mounted bottle. For example, H can be equal to the cavity height of the inner chamber 1 of the LNG vehicle-mounted bottle (that is, the diameter of the circular section of the LNG vehicle-mounted bottle liner), and D is smaller than H, which can save material costs while ensuring accurate measurement.
根据一种实现方式,在一个LNG车载瓶容积为450L的容器中,H为LNG车载瓶内胆的直径650mm;D为80mm。H为车载瓶内胆的直径可以准确测量出液位的高度。例如,对于240升气瓶,H=500mm;对于275升气瓶,H=500mm;对于340升气瓶,H=600mm。According to an implementation manner, in a container with a volume of 450 L of an LNG vehicle-mounted bottle, H is 650 mm in diameter of the inner liner of the LNG vehicle-mounted bottle; D is 80 mm. H is the diameter of the inner liner of the vehicle bottle, which can accurately measure the height of the liquid level. For example, for a 240-liter gas cylinder, H=500mm; for a 275-liter gas cylinder, H=500mm; for a 340-liter gas cylinder, H=600mm.
其中,第一直角梯形极板210到矩形极板230之间的距离和第二直角梯形极板220到矩形极板230之间的距离是相等的,例如都为5mm或10mm。Wherein, the distance between the first right-angled trapezoidal plate 210 and the rectangular plate 230 and the distance between the second right-angled trapezoidal plate 220 and the rectangular plate 230 are equal, for example, both are 5mm or 10mm.
如果D设置过大,极板会占去液化天然气的体积;如果D设置过小,极板则不容易稳定且不易加工。因此,当D设置为80mm时,有利于极板的稳定及极板的加工处理,而且不会占用过多液化天然气的体积。If D is set too large, the plate will take up the volume of LNG; if D is set too small, the plate will not be stable and difficult to process. Therefore, when D is set to 80mm, it is beneficial to the stability of the pole plate and the processing of the pole plate, and will not occupy too much volume of liquefied natural gas.
此外,根据一种实现方式,可以预先在第一直角梯形极板210和第二直角梯形极板220的外壁上均设置有绝缘层(例如聚四氟乙烯绝缘层),以提高本发明的板式电容式传感器2的测量准确率和成功率。In addition, according to an implementation manner, an insulating layer (such as a polytetrafluoroethylene insulating layer) can be provided on the outer walls of the first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 in advance, so as to improve the plate shape of the present invention. Measurement accuracy and success rate of capacitive sensor 2.
在实际应用中,当LNG车载瓶内充装液体时,LNG中总是不可避免的会存在杂质,而杂质极易附着在极板上,会使得测量结果不准确。由此,通过在第一直角梯形极板210和第二直角梯形极板220的外壁上设置绝缘层,能够避免这种因挂壁造成的影响,提高了板式电容式传感器测量的准确率和成功率。In practical applications, when the LNG vehicle bottle is filled with liquid, there will always be impurities in the LNG, and the impurities are easily attached to the plate, which will make the measurement results inaccurate. Thus, by arranging an insulating layer on the outer walls of the first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 220, the influence caused by the hanging wall can be avoided, and the accuracy and success of the measurement of the plate-type capacitive sensor can be improved. Rate.
例如,可以采用聚四氟乙烯绝缘层作为以上绝缘层,相比于其他材质,该绝缘层具有以下好处:耐高温——使用工作温度达250℃;耐低温——具有良好的机械韧性,即使温度下降到-196℃,也仅保持5%的伸长率;耐腐蚀——不溶于大多数化学液体中,如强酸强碱等;耐气候——老化寿命极长高润滑——摩擦系数极低;不粘附——不粘附任何物质;电绝缘性——绝缘性极好。For example, polytetrafluoroethylene insulation layer can be used as the above insulation layer. Compared with other materials, this insulation layer has the following advantages: high temperature resistance - the working temperature can reach 250 ° C; low temperature resistance - good mechanical toughness, even The temperature drops to -196°C, and only maintains 5% elongation; corrosion resistance - insoluble in most chemical liquids, such as strong acids and alkalis; weather resistance - extremely long aging life High lubrication - extremely high friction coefficient Low; Non-adhesive - does not stick to anything; Electrical Insulation - Excellent insulation.
根据一种实现方式,步骤S130中的液位高度可以根据如下公式获得:According to an implementation manner, the liquid level in step S130 can be obtained according to the following formula:
其中,A1可以由公式二得到:Among them, A 1 can be obtained by formula 2:
这里,hx表示LNG车载瓶的液位高度,D为第一直角梯形极板210的下底与上底之差,其上底的长度为d/2,下底的长度为D+d/2,D、H以及d均为正数。第一直角梯形极板210和第二直角梯形极板220的上底边的长度均为d/2,第一直角梯形极板210和第二直角梯形极板220的高均为H,第一直角梯形极板210和第二直角梯形极板220的下底边均为D+d/2。第一直角梯形极板210和第二直角梯形极板220的外壁上均设置有绝缘层,d0为第一直角梯形极板外壁上的绝缘层表面到矩形极板板面间的距离,d2为绝缘层的厚度,ε0为空气的介电常数,ε2为绝缘层的介电常数,第一直角梯形极板210的板面与矩形极板230的板面之间的距离为d。矩形极板的长边的长度为D+d,矩形极板的短边的长度为H,且矩形极板的短边与LNG车载瓶内腔中的液面垂直。Here, h x represents the liquid level height of the LNG vehicle bottle, and D is the difference between the lower bottom and the upper bottom of the first rectangular trapezoidal pole plate 210, the length of the upper bottom is d/2, and the length of the lower bottom is D+d/ 2. D, H and d are all positive numbers. The length of the upper base of the first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 220 is d/2, and the height of the first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 220 is H, the first The lower bases of the right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 are both D+d/2. The outer walls of the first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 220 are all provided with an insulating layer, and d is the distance between the surface of the insulating layer on the outer wall of the first right-angled trapezoidal pole plate to the surface of the rectangular pole plate, d 2 is the thickness of the insulating layer, ε0 is the dielectric constant of air, and ε2 is the dielectric constant of the insulating layer, and the distance between the plate surface of the first right-angled trapezoidal plate 210 and the plate surface of the rectangular plate 230 is d . The length of the long side of the rectangular plate is D+d, the length of the short side of the rectangular plate is H, and the short side of the rectangular plate is perpendicular to the liquid level in the inner cavity of the LNG vehicle bottle.
此外,图2A还示出了一种包含板式电容式传感器2的液位测量系统。如图2A所示,该液位测量系统包括:LNG车载瓶内腔1、设置于LNG车载瓶内腔1中的板式电容式传感器2、与板式电容式传感器2相连接的信号变送器3以及与信号变送器3相连接的液位指示器4。其中,板式电容式传感器2包括第一直角梯形极板210和第二直角梯形极板220,其结构与上文描述相同。In addition, FIG. 2A also shows a liquid level measurement system including a plate-type capacitive sensor 2 . As shown in Figure 2A, the liquid level measurement system includes: an inner cavity 1 of the LNG vehicle-mounted bottle, a plate-type capacitive sensor 2 arranged in the inner cavity 1 of the LNG vehicle-mounted bottle, and a signal transmitter 3 connected to the plate-type capacitive sensor 2 And the liquid level indicator 4 connected with the signal transmitter 3. Wherein, the plate-type capacitive sensor 2 includes a first right-angled trapezoidal plate 210 and a second right-angled trapezoidal plate 220 , the structures of which are the same as those described above.
板式电容式传感器中的第一直角梯形极板210和第二直角梯形极板220通过两个测试探头与信号变送器3相连接,两个测试探头测量得到第一直角梯形极板210和第二直角梯形极板220各自的电容信号,信号变送器3将两个测试探头传输来的电容信号转换为直流电压信号,通过设置于信号变送器3中的信号处理模块计算液位高度,并通过液位显示器4对所计算的液位高度进行实时显示。The first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 220 in the plate-type capacitive sensor are connected to the signal transmitter 3 through two test probes, and the first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 210 are measured by the two test probes. The respective capacitance signals of the two right-angled trapezoidal plates 220, the signal transmitter 3 converts the capacitance signals transmitted by the two test probes into a DC voltage signal, and calculates the liquid level height through the signal processing module arranged in the signal transmitter 3, And the calculated liquid level height is displayed in real time through the liquid level display 4 .
其中,第一直角梯形极板210和第二直角梯形极板220通过两个测试探头对LNG车载瓶内腔1中的液位高度进行同时测量,并保证当液位发生改变时,两测量值成相对的趋势变化。Wherein, the first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 220 measure the liquid level height in the inner cavity 1 of the LNG vehicle-mounted bottle simultaneously through two test probes, and ensure that when the liquid level changes, the two measured values into a relative trend change.
信号变送器3能够执行步骤S120中计算第一直角梯形极板210和第二直角梯形极板220的电容值的微变之比ΔC的处理,并能够执行步骤S130的处理,通过以上处理,能够使液位高度仅与两值的变换相关,最后通过液位显示器4对LNG车载瓶的液位进行实时显示。The signal transmitter 3 can perform the processing of calculating the ratio ΔC of the slight change of the capacitance value of the first right-angled trapezoidal pole plate 210 and the second right-angled trapezoidal pole plate 220 in step S120, and can perform the processing of step S130. Through the above processing, The height of the liquid level can only be related to the conversion of the two values, and finally the liquid level of the LNG vehicle bottle can be displayed in real time through the liquid level display 4 .
下面,描述本发明的一个应用示例。Next, an application example of the present invention is described.
假设板式电容式传感器2中两个梯形极板(即第一直角梯形极板210和第二直角梯形极板220)的极板高度为H。按照步骤S110设置好板式电容式传感器2。Assume that the plate height of the two trapezoidal plates (ie, the first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 ) in the plate-type capacitive sensor 2 is H. Set up the plate capacitive sensor 2 according to step S110.
在步骤S120中,利用两个测试探头分别对第一直角梯形极板210和第二直角梯形极板220的电容值进行实时同步测量,将第一直角梯形极板210的电容值记为C1,第二直角梯形极板220的电容值记为C2。In step S120, two test probes are used to carry out real-time synchronous measurement of the capacitance values of the first right-angled trapezoidal plate 210 and the second right-angled trapezoidal plate 220 respectively, and the capacitance value of the first right-angled trapezoidal plate 210 is denoted as C 1 , the capacitance value of the second right-angled trapezoidal plate 220 is denoted as C 2 .
然后,在步骤S130中,根据上文所述的公式一和公式二计算LNG车载瓶的液位高度hx。其中,A1可以看作一个常数。Then, in step S130, the liquid level height h x of the LNG vehicle-mounted bottle is calculated according to formula 1 and formula 2 mentioned above. Among them, A 1 can be regarded as a constant.
下面给出以上测量公式的推导及论证。The derivation and demonstration of the above measurement formula are given below.
对于平行板电容器来说,假设该平行板电容器的电极板为一个有限宽、无限长的矩形,有上下两个边缘板。为了方便计算,设电极板边缘位于x=0处,电极板的中心位于x→-∞处;上极板位于y=d/2处,下极板位于y=-d/2处,上、下极板的电势分别为V0,-V0。则半个极板的静电场所占据的空间可视为如图4中虚线所示的“四边形”ABCD。其中AB与BC是重合的,为电容上极板;CD与DA也是重合的,为电容下极板。在顶点B、C、D偏转角分别为-π、+π、-π,由施瓦兹-克利斯多菲变换,电荷面密度与电场强度的关系,经过整理可得平行板电容器极板上的电荷面密度为:For a parallel plate capacitor, it is assumed that the electrode plate of the parallel plate capacitor is a rectangle with a finite width and an infinite length, and there are two upper and lower edge plates. For the convenience of calculation, suppose the edge of the electrode plate is located at x=0, the center of the electrode plate is located at x→-∞; the upper plate is located at y=d/2, the lower plate is located at y=-d/2, the upper, The potentials of the lower plate are V0, -V0 respectively. Then the space occupied by the electrostatic field of the half plate can be regarded as a "quadrangle" ABCD as shown by the dotted line in Fig. 4 . Among them, AB and BC are coincident, which is the upper plate of the capacitor; CD and DA are also coincident, and are the lower plate of the capacitor. The deflection angles at vertices B, C, and D are respectively -π, +π, -π, and the relationship between the charge surface density and the electric field intensity can be obtained by the Schwartz-Christophe transformation. The surface charge density of is:
公式二: Formula two:
公式三: Formula three:
在公式二和公式三中:σ0为忽略边缘效应时平行板电容器极板上的电荷面密度;σ内为平行板电容器极板内表面上的电荷面密度;σ外为平行板电容器极板外表面上的电荷面密度;x为所求点到边缘的距离;d为二极板的间距。In formula 2 and formula 3: σ 0 is the charge surface density on the parallel plate capacitor plate when the edge effect is ignored; σ inside is the charge surface density on the inner surface of the parallel plate capacitor plate; σ outside is the parallel plate capacitor plate Surface charge density on the outer surface; x is the distance from the desired point to the edge; d is the distance between the two plates.
由公式二和公式三可以看出,在电容板离原点较远处,即当|x|→∞时,σ内→σ0,σ外→σ0;而在B点附近,x→0,σ内、σ外均趋于无穷大。It can be seen from formula 2 and formula 3 that when the capacitor plate is far away from the origin, that is, when |x|→∞, σ inside → σ 0 , σ outside → σ 0 ; and near point B, x→0, Both σ inside and σ outside tend to infinity.
由公式二和公式三可知,x/d=0.5时,边缘效应已不明显。It can be seen from formula two and formula three that when x/d=0.5, the edge effect is no longer obvious.
以上结果也适用于有限的方形平行板,因此,在原有斜对角式电容板的两边各增宽0.5d,形成两个梯形极板,即第一梯形极板和第二梯形极板。这样的设计可以降低边缘效应对测量精度造成的影响,尤其当液位高度处于最高或最低位置时,效果更明显,因此提高了液位计的测量精度。为了避免两个半极板(即两个梯形极板)切割线处的边缘效应,切割线处的缝隙应尽可能的小,但要控制在击穿的限制范围之内。同时,配合电容板的结构变化,在计算公式中加入一个边缘效应的修正系数,可以大大提高液位测量的精确度,消除边缘效应在液位测量中的影响。The above results are also applicable to finite square parallel plates. Therefore, both sides of the original diagonal capacitor plate are widened by 0.5d to form two trapezoidal plates, namely the first trapezoidal plate and the second trapezoidal plate. Such a design can reduce the impact of the edge effect on the measurement accuracy, especially when the liquid level is at the highest or lowest position, the effect is more obvious, thus improving the measurement accuracy of the liquid level gauge. In order to avoid the edge effect at the cutting line of the two half-plates (that is, the two trapezoidal plates), the gap at the cutting line should be as small as possible, but it should be controlled within the limit of the breakdown. At the same time, in conjunction with the structural changes of the capacitor plate, adding a correction coefficient of edge effect to the calculation formula can greatly improve the accuracy of liquid level measurement and eliminate the influence of edge effect in liquid level measurement.
由上述的分析可知,当x/d>0.5时,可忽略边缘效应带来的影响,其电容值分别为C1与C2;当x/d<0.5时,边缘效应带来的影响不可忽略。设极板两侧x/d<0.5部分的电容值分别为Cb1与Cb2,由于极板两侧完全对称,所以Cb1=Cb2。设两块梯形极板的新的电容分别为C1'和C2',则:From the above analysis, it can be seen that when x/d>0.5, the influence of the edge effect can be ignored, and the capacitance values are C 1 and C 2 respectively; when x/d<0.5, the influence of the edge effect cannot be ignored . Assume that the capacitance values of x/d<0.5 on both sides of the polar plate are C b1 and C b2 respectively. Since the two sides of the polar plate are completely symmetrical, C b1 =C b2 . Let the new capacitances of the two trapezoidal plates be C 1 ' and C 2 ' respectively, then:
公式四:C1'=C1+Cb1 Formula 4: C 1 '=C 1 +C b1
公式五:C2'=C2+Cb2 Formula 5: C 2 '=C 2 +C b2
同时由公式四和公式五可以得到结论如式:At the same time, the conclusion can be obtained from formula 4 and formula 5 as follows:
公式六:C1'+C2'=C1+C2+2Cb1 Formula 6: C 1 '+C 2 '=C 1 +C 2 +2C b1
公式七:C1'-C2'=C1-C2 Formula 7: C 1 '-C 2 '=C 1 -C 2
由于当极板的间距一定时边缘效应的强弱与极板的电容值成线性关系,可设:Since the strength of the edge effect is linearly related to the capacitance of the plates when the distance between the plates is constant, it can be set as follows:
公式八:C1'+C2'=α(C1+C2) (7)Formula 8: C 1 '+C 2 '=α(C 1 +C 2 ) (7)
再忽略边缘效应,梯形极板电容测量参数处理如下:令第一梯形极板的高度为H,上底为d/2,下底为D+d/2,第一直角梯形极板外壁上的绝缘层表面到矩形极板板面间的距离为d0,绝缘层的厚度为d2,空气、LNG和绝缘层的介电常数分别为ε0、ε1和ε2,两梯形极板的电容分别为C1、C2,LNG车载瓶的液位高度为hx。当平行板间电场(即第一或第二梯形极板与矩形极板之间的电场)的边缘效应忽略不计时,根据平行板电容器的电容计算公式可推导出:Neglecting the edge effect again, the capacitance measurement parameters of the trapezoidal plate are processed as follows: Let the height of the first trapezoidal plate be H, the upper base be d/2, the lower base be D+d/2, the outer wall of the first right-angled trapezoidal plate be The distance between the surface of the insulating layer and the surface of the rectangular plate is d 0 , the thickness of the insulating layer is d 2 , the dielectric constants of air, LNG and the insulating layer are ε 0 , ε 1 and ε 2 respectively, the two trapezoidal plates The capacitors are C 1 and C 2 respectively, and the liquid level of the LNG vehicle bottle is h x . When the edge effect of the electric field between the parallel plates (that is, the electric field between the first or second trapezoidal plate and the rectangular plate) is neglected, according to the capacitance calculation formula of the parallel plate capacitor, it can be deduced:
在LNG车载瓶中,温度和压力对瓶内气体介电常数的影响可以忽略,即可以将瓶内气介电常数ε0视为常数。同样,绝缘层的介电常数也不随环境变化而改变,也可以视为常数。设 那么可以将式公式九和公式十化简为:In the LNG car bottle, the influence of temperature and pressure on the dielectric constant of the gas in the bottle can be ignored, that is, the dielectric constant ε 0 of the gas in the bottle can be regarded as a constant. Similarly, the dielectric constant of the insulating layer does not change with the environment and can also be regarded as a constant. Assume Then formula 9 and formula 10 can be simplified as:
公式十一:C1+C2=A1+2A2·Hhx Formula 11: C 1 +C 2 =A 1 +2A 2 ·Hh x
公式十二:C1-C2=2A2·(H-hx)hx Formula 12: C 1 -C 2 =2A 2 ·(Hh x )h x
则由公式十一和公式十二可推出:Then it can be deduced from formula 11 and formula 12:
由此可以得到,所求液位高度为From this, it can be obtained that the required liquid level height is
由于车载瓶内气体的介电常数变化可以忽略,所以A1可以看做为与环境因素变化无关的常数量,因此可以看出,液位高度的变化只与C1和C2有关,与被测液体的介电常数无关。将公式六、七、八代入公式十四,即可求出考虑边缘效应的影响时,LNG车载瓶内液位高度的计算式:Since the change of the dielectric constant of the gas in the vehicle bottle can be ignored, A 1 can be regarded as a constant quantity that has nothing to do with the change of environmental factors. Therefore, it can be seen that the change of the liquid level is only related to C 1 and C 2 , and is related to the The dielectric constant of the measured liquid is irrelevant. Substituting formulas 6, 7, and 8 into formula 14, the calculation formula for the liquid level in the LNG vehicle bottle can be obtained when considering the influence of the edge effect:
其中,系数α可由可由附加边缘与极板总宽之比确定,也可由实验来测得。这样,就可以有效避免边缘效应对测量结果造成的影响。Among them, the coefficient α can be determined by the ratio of the additional edge to the total width of the plate, and can also be measured by experiments. In this way, the influence of edge effects on the measurement results can be effectively avoided.
尽管根据有限数量的实施例描述了本发明,但是受益于上面的描述,本技术领域内的技术人员明白,在由此描述的本发明的范围内,可以设想其它实施例。此外,应当注意,本说明书中使用的语言主要是为了可读性和教导的目的而选择的,而不是为了解释或者限定本发明的主题而选择的。因此,在不偏离所附权利要求书的范围和精神的情况下,对于本技术领域的普通技术人员来说许多修改和变更都是显而易见的。对于本发明的范围,对本发明所做的公开是说明性的,而非限制性的,本发明的范围由所附权利要求书限定。While the invention has been described in terms of a limited number of embodiments, it will be apparent to a person skilled in the art having the benefit of the above description that other embodiments are conceivable within the scope of the invention thus described. In addition, it should be noted that the language used in the specification has been chosen primarily for the purpose of readability and instruction rather than to explain or define the inventive subject matter. Accordingly, many modifications and alterations will be apparent to those of ordinary skill in the art without departing from the scope and spirit of the appended claims. With respect to the scope of the present invention, the disclosure of the present invention is intended to be illustrative rather than restrictive, and the scope of the present invention is defined by the appended claims.
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