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CN109931859B - Linear Displacement Sensor with Complementary Coupling Structure - Google Patents

Linear Displacement Sensor with Complementary Coupling Structure Download PDF

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CN109931859B
CN109931859B CN201910286342.7A CN201910286342A CN109931859B CN 109931859 B CN109931859 B CN 109931859B CN 201910286342 A CN201910286342 A CN 201910286342A CN 109931859 B CN109931859 B CN 109931859B
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linear array
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CN109931859A (en
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汤其富
翁道纛
谷星莹
陈锡侯
武亮
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Chongqing University of Technology
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Abstract

本发明公开了一种具有互补耦合结构的直线位移传感器,包括定尺、动尺、定尺安装基体和动尺安装基体,定尺安装基体包括基座和限位块,基座上开设有与定尺的长度相匹配的定尺槽,定尺垂直安装在定尺槽内并通过限位块限位固定,动尺安装基体的中间开设有直槽口,该直槽口的宽度大于定尺厚度与两块动尺厚度之和、深度大于定尺上的定尺传感单元高度,动尺安装基体关于直槽口对称,动尺有两块,两块动尺对称安装在所述直槽口的两侧,两块动尺上的动尺传感单元串联,定尺插入直槽口内,使所述动尺传感单元与所述定尺传感单元正对耦合。本发明能实现激励与感应之间的互补耦合,可以有效减小传感器制造、装配、安装等对测量性能的影响。

Figure 201910286342

The invention discloses a linear displacement sensor with a complementary coupling structure. The length of the fixed length matches the fixed length groove. The fixed length is vertically installed in the fixed length groove and fixed by the limit block. A straight notch is opened in the middle of the moving ruler installation base, and the width of the straight groove is larger than that of the fixed length. The thickness is the sum of the thickness of the two moving rulers, and the depth is greater than the height of the fixed-length sensing unit on the fixed ruler. The moving ruler installation base is symmetrical about the straight slot. There are two moving rulers, and the two moving rulers are symmetrically installed in the straight slot. On both sides of the opening, the moving ruler sensing units on the two moving rulers are connected in series, and the fixed length is inserted into the straight notch, so that the moving ruler sensing unit and the fixed length sensing unit are coupled in a positive direction. The invention can realize the complementary coupling between excitation and induction, and can effectively reduce the influence of sensor manufacture, assembly, installation, etc. on measurement performance.

Figure 201910286342

Description

具有互补耦合结构的直线位移传感器Linear Displacement Sensor with Complementary Coupling Structure

技术领域technical field

本发明属于精密测量传感器技术领域,具体涉及一种具有互补耦合结构的直线位移传感器。The invention belongs to the technical field of precision measurement sensors, in particular to a linear displacement sensor with a complementary coupling structure.

背景技术Background technique

机床或其它仪器设备上的直线运动单元,为了达到较好的直线定位精度,常常需要直线位移传感器提供位置反馈。目前的直线位移传感器主要有电磁感应式、电场式和光场式,这些直线位移传感器主要包括定尺和动尺,定尺与动尺正对平行安装,但是其存在如下问题:(1)动尺只在定尺的一边与定尺耦合,使得传感器的测量性能受动尺与定尺之间间隙大小、平行度等影响较大,因而对动尺和定尺的制造及安装提出了较高的要求;(2)如果定尺上的定尺传感单元通过粘贴的方式装配于定尺基体表面,很难保证定尺传感单元的平面度和直线度,从而也会对传感器的测量性能造成影响。For linear motion units on machine tools or other equipment, in order to achieve better linear positioning accuracy, linear displacement sensors are often required to provide position feedback. The current linear displacement sensors mainly include electromagnetic induction type, electric field type and optical field type. These linear displacement sensors mainly include fixed-length and moving-ruler, and the fixed-length and moving-ruler are installed in parallel with each other, but they have the following problems: (1) Moving-ruler It is only coupled with the fixed length on one side of the fixed length, so that the measurement performance of the sensor is greatly affected by the gap size and parallelism between the moving ruler and the fixed length. (2) If the fixed-length sensing unit on the fixed-length is assembled on the surface of the fixed-length substrate by pasting, it is difficult to ensure the flatness and straightness of the fixed-length sensing unit, which will also affect the measurement performance of the sensor. influences.

基于电磁感应原理的直线位移传感器因其具有较强的环境适应性得到了较好的应用。电磁感应式直线位移传感器包括励磁线圈和感应线圈,通过在励磁线圈中施加交流信号产生磁场,感应线圈接收该磁场并产生与被测位移相关的感应信号,从而实现直线位移测量。CN105300262A中公开了一种绝对式时栅直线位移传感器,励磁线圈和感应线圈分别包含于动尺和定尺,动尺上的励磁线圈产生磁场,定尺上的感应线圈接收磁场。CN107796293A中公开了一种电磁感应式直线位移传感器,励磁线圈和感应线圈均包含于定尺。定尺上的励磁线圈和感应线圈分别产生磁场和接收磁场,动尺用于改变磁场分布。当动尺与定尺发生相对位移时,感应线圈接收的磁场发生变化,使感应线圈输出的信号发生变化,动尺与定尺的相对位移可由感应线圈输出的信号处理得到。这两种直线位移传感器都存在如下问题:(1)动尺只在定尺的一边影响感应线圈接收磁场,使得传感器的测量性能受动尺与定尺之间间隙大小、平行度等影响较大,因而对传感器动尺和定尺的制造及安装提出了较高的要求;(2)如果定尺上的线圈通过粘贴的方式装配于定尺基体表面,很难保证线圈的平面度和直线度,从而会对传感器的测量性能造成影响。另外,CN107796293A中的平面矩形螺旋线圈只有一种绕制方向,该平面矩形螺旋线圈无法抵抗外界共模干扰磁场,尤其当传感器的平面矩形螺旋线圈作为感应线圈时,是传感器测量结果不可忽略的误差源。The linear displacement sensor based on the principle of electromagnetic induction has been well applied because of its strong environmental adaptability. The electromagnetic induction linear displacement sensor includes an excitation coil and an induction coil. A magnetic field is generated by applying an AC signal in the excitation coil, and the induction coil receives the magnetic field and generates an induction signal related to the measured displacement, thereby realizing linear displacement measurement. CN105300262A discloses an absolute time grid linear displacement sensor. The excitation coil and the induction coil are respectively included in the moving ruler and the fixed ruler. The excitation coil on the moving ruler generates a magnetic field, and the induction coil on the fixed ruler receives the magnetic field. CN107796293A discloses an electromagnetic induction type linear displacement sensor. Both the excitation coil and the induction coil are included in the fixed length. The excitation coil and the induction coil on the fixed ruler generate and receive magnetic fields respectively, and the moving ruler is used to change the distribution of the magnetic field. When there is relative displacement between the moving ruler and the fixed length, the magnetic field received by the induction coil changes, so that the signal output by the induction coil changes, and the relative displacement between the moving ruler and the fixed length can be obtained by processing the signal output by the induction coil. These two linear displacement sensors have the following problems: (1) The moving ruler only affects the magnetic field received by the induction coil on one side of the fixed length, so that the measurement performance of the sensor is greatly affected by the gap size and parallelism between the moving ruler and the fixed length. Therefore, higher requirements are put forward for the manufacture and installation of the moving ruler and the fixed length of the sensor; (2) If the coil on the fixed length is assembled on the surface of the fixed length substrate by pasting, it is difficult to ensure the flatness and straightness of the coil. , which will affect the measurement performance of the sensor. In addition, the planar rectangular helical coil in CN107796293A has only one winding direction, and the planar rectangular helical coil cannot resist the external common mode interference magnetic field, especially when the planar rectangular helical coil of the sensor is used as the induction coil, it is a non-negligible error in the measurement result of the sensor source.

发明内容SUMMARY OF THE INVENTION

本发明的目的是提供一种具有互补耦合结构的直线位移传感器,以减小动尺与定尺的制造和安装对测量性能的影响,进一步提高测量精度。The purpose of the present invention is to provide a linear displacement sensor with a complementary coupling structure, so as to reduce the influence of the manufacture and installation of the moving ruler and the fixed ruler on the measurement performance, and further improve the measurement accuracy.

本发明所述的一种具有互补耦合结构的直线位移传感器,包括定尺和两块动尺,还包括定尺安装基体和动尺安装基体,定尺安装基体包括基座和限位块,基座上开设有与定尺的长度相匹配的定尺槽,定尺垂直安装在定尺槽内并通过限位块限位固定,动尺安装基体的中间开设有直槽口,该直槽口的宽度大于定尺厚度与两块动尺厚度之和、深度大于定尺上的定尺传感单元高度,动尺安装基体关于直槽口对称,两块动尺对称安装在所述直槽口的两侧,两块动尺上的动尺传感单元串联,定尺插入直槽口内,使所述动尺传感单元与所述定尺传感单元正对耦合。这种具有互补耦合结构的直线位移传感器可以适用于电磁感应式直线位移传感器,也可以适用于非电磁感应式直线位移传感器(比如电场式直线位移传感器、光场式直线位移传感器等)。这种具有互补耦合结构的直线位移传感器具有如下效果:(1)安装过程简单,只需要将定尺垂直放置在定尺槽内并通过限位块限位固定;(2)通过基座、定尺槽、限位块配合实现定尺垂直安装,安装过程少了粘接剂的参与,定尺传感单元的平面度和直线度不再受粘接剂的影响,保证了定尺传感单元的平面度和直线度;(3)定尺垂直安装,动尺安装基体关于直槽口对称,两块动尺对称安装在直槽口的两侧,定尺插入动尺安装基体的直槽口内,动尺传感单元与定尺传感单元正对耦合,即使动尺安装不理想或运动轨迹不理想,两块动尺与定尺之间的间隙总和保持不变,实现了激励与感应之间的互补耦合,其减小了动尺与定尺的制造和安装对测量性能的影响,进一步提高了测量精度。The linear displacement sensor with complementary coupling structure according to the present invention includes a fixed-length and two moving rulers, and also includes a fixed-length installation base and a moving ruler installation base. The fixed-length installation base includes a base and a limit block. The base is provided with a fixed-length groove matching the length of the fixed-length. The fixed-length is vertically installed in the fixed-length groove and fixed by the limit block. A straight groove is opened in the middle of the moving ruler installation base. The width is greater than the sum of the thickness of the fixed length and the thickness of the two moving rulers, and the depth is greater than the height of the fixed length sensing unit on the fixed length. The moving ruler mounting base is symmetrical about the straight slot, and the two moving rulers are symmetrically installed in the straight slot. On the two sides of the two moving rulers, the moving ruler sensing units on the two moving rulers are connected in series, and the fixed length is inserted into the straight slot, so that the moving ruler sensing unit and the fixed length sensing unit are coupled to each other. The linear displacement sensor with complementary coupling structure can be applied to electromagnetic induction linear displacement sensors, and can also be applied to non-electromagnetic induction linear displacement sensors (such as electric field linear displacement sensors, optical field linear displacement sensors, etc.). This linear displacement sensor with complementary coupling structure has the following effects: (1) the installation process is simple, only need to place the fixed length vertically in the fixed length groove and fix it by the limit block; (2) through the base, the fixed length The fixed-length vertical installation is realized by the cooperation of the ruler groove and the limit block, and the participation of the adhesive is less involved in the installation process. The flatness and straightness of the fixed-length sensing unit are no longer affected by the adhesive, which ensures the fixed-length sensing unit. (3) The fixed length is installed vertically, the moving ruler installation base is symmetrical about the straight slot, the two moving rulers are symmetrically installed on both sides of the straight slot, and the fixed length is inserted into the straight slot of the moving ruler installation base. , The moving ruler sensing unit and the fixed-length sensing unit are coupled directly, even if the moving ruler is not installed ideally or the motion trajectory is not ideal, the sum of the gap between the two moving rulers and the fixed length remains unchanged, realizing the combination of excitation and induction. The complementary coupling between the moving ruler and the fixed ruler reduces the influence of the manufacture and installation of the moving ruler and the fixed ruler on the measurement performance, and further improves the measurement accuracy.

对于电磁感应式直线位移传感器而言,所述定尺包括定尺线圈基体和印制在定尺线圈基体上的所述定尺传感单元,定尺传感单元由分布周期为W、分布周期个数为

Figure BDA0002023392640000021
的第一线圈线阵和第二线圈线阵构成,第一线圈线阵沿测量方向的起始位置与第二线圈线阵沿测量方向的起始位置相差
Figure BDA0002023392640000022
所述动尺包括动尺线圈基体和印制在动尺线圈基体上的所述动尺传感单元,动尺传感单元由分布周期为W、分布周期个数为
Figure BDA0002023392640000023
的第一双正弦形线圈线阵构成;其中,m1、n为偶数,n≥4,2≤m1<n。For the electromagnetic induction linear displacement sensor, the fixed-length includes a fixed-length coil base and the fixed-length sensing unit printed on the fixed-length coil base. The fixed-length sensing unit has a distribution period of W, a distribution period of The number is
Figure BDA0002023392640000021
The first coil line array and the second coil line array are composed of the first coil line array, and the starting position of the first coil line array along the measuring direction is different from the starting position of the second coil line array along the measuring direction.
Figure BDA0002023392640000022
The moving ruler includes a moving ruler coil base and the moving ruler sensing unit printed on the moving ruler coil base. The moving ruler sensing unit has a distribution period of W and a number of distribution periods of
Figure BDA0002023392640000023
wherein, m 1 and n are even numbers, n≥4, 2≤m 1 <n.

所述第一线圈线阵和第二线圈线阵由长度为L的4n条直导线以及连接所述直导线的连接线组成,其中2n+2条直导线沿测量方向分布于定尺线圈基体的第一布线层上,另外的2n-2条直导线沿测量方向分布于定尺线圈基体的第二布线层上,且与分布于第一布线层的中间的2n-2条直导线对称;同一布线层上相邻两条直导线沿测量方向的间距为

Figure BDA0002023392640000024
第一布线层上的第2i+1条直导线与第二布线层上的第2i+1条直导线通过连接线、过孔连接,第二布线层上的第2i+1条直导线与第一布线层上的第2i+5条直导线通过连接线、过孔连接,第一布线层上的第2n-1条直导线与第一布线层上的第2n+1条直导线通过连接线、过孔连接,形成第一线圈线阵,在第一布线层上的第1条、第3条直导线的未连接端部引线作为第一线圈线阵的信号输入/输出接线端;第一布线层上的第2i+2条直导线与第二布线层上的第2i+2条直导线通过连接线、过孔连接,第二布线层上的第2i+2条直导线与第一布线层上的第2i+6条直导线通过连接线、过孔连接,第一布线层上的第2n条直导线与第一布线层上的第2n+2条直导线通过连接线、过孔连接,形成第二线圈线阵,在第一布线层上的第2条、第4条直导线的未连接端部引线作为第二线圈线阵的信号输入/输出接线端;其中,i依次取0至n-2的所有整数。定尺线圈基体的第一、第二布线层上的第奇数条直导线通过连接构成第一线圈线阵,定尺线圈基体的第一、第二布线层上的第偶数条直导线通过连接构成第二线圈线阵,这种交叉布线方式保证了线圈的对称性,保证了第一线圈线阵和第二线圈线阵相对于第一双正弦形线圈线阵的对称性,也使第一线圈线阵和第二线圈线阵都具有了“两个绕制方向”,从而更好地抵抗了外界共模干扰磁场,减小了测量误差。The first coil line array and the second coil line array are composed of 4n straight wires with a length of L and connecting wires connecting the straight wires, wherein 2n+2 straight wires are distributed along the measurement direction on the fixed-length coil base. On the first wiring layer, the other 2n-2 straight wires are distributed along the measurement direction on the second wiring layer of the fixed-length coil base, and are symmetrical with the 2n-2 straight wires distributed in the middle of the first wiring layer; the same The distance between two adjacent straight wires on the wiring layer along the measurement direction is
Figure BDA0002023392640000024
The 2i+1th straight wire on the first wiring layer and the 2i+1st straight wire on the second wiring layer are connected by connecting wires and vias, and the 2i+1th straight wire on the second wiring layer is connected with the 2nd wiring layer. The 2i+5th straight wires on a wiring layer are connected by connecting wires and vias, and the 2n-1th straight wires on the first wiring layer and the 2n+1th straight wires on the first wiring layer are connected by connecting wires , connected via holes to form a first coil line array, and the unconnected end leads of the first and third straight wires on the first wiring layer are used as the signal input/output terminals of the first coil line array; the first The 2i+2th straight wire on the wiring layer and the 2i+2th straight wire on the second wiring layer are connected by connecting wires and vias, and the 2i+2th straight wire on the second wiring layer is connected with the first wiring The 2i+6th straight wires on the layer are connected by connecting wires and vias, and the 2nth straight wires on the first wiring layer are connected with the 2n+2th straight wires on the first wiring layer by connecting wires and vias. , form a second coil line array, and the unconnected end leads of the second and fourth straight wires on the first wiring layer are used as the signal input/output terminals of the second coil line array; wherein, i takes 0 in turn All integers up to n-2. The odd-numbered straight wires on the first and second wiring layers of the fixed-length coil base are connected to form the first coil array, and the even-numbered straight wires on the first and second wiring layers of the fixed-length coil base are connected to form The second coil line array, this cross wiring method ensures the symmetry of the coil, ensures the symmetry of the first coil line array and the second coil line array relative to the first double sinusoidal coil line array, and also makes the first coil line array. Both the linear array and the second coil linear array have "two winding directions", which can better resist the external common mode interference magnetic field and reduce the measurement error.

所述第一双正弦形线圈线阵由起始位置相同、幅值为A、周期为W、周期个数为

Figure BDA0002023392640000031
相位互差180°的第一、第二正弦导线段围成,第一正弦导线段的
Figure BDA0002023392640000032
区间部分、
Figure BDA0002023392640000033
区间部分以及第二正弦导线段的
Figure BDA0002023392640000034
区间部分都分布于动尺线圈基体的第一布线层上,第二正弦导线段的
Figure BDA0002023392640000035
区间部分、
Figure BDA0002023392640000036
区间部分以及第一正弦导线段的
Figure BDA0002023392640000037
区间部分都分布于动尺线圈基体的第二布线层上,在分布于不同布线层上的某相邻两个区间部分的端部引线作为第一双正弦形线圈线阵的信号输入/输出接线端,其余分布于不同布线层上的各区间部分的端部通过过孔连接;其中,j依次取0至
Figure BDA0002023392640000038
的所有整数。第一正弦导线的一部分布置于动尺线圈基体的第一布线层上、另一部分布置于动尺线圈基体的第二布线层上,第二正弦导线的一部分布置于动尺线圈基体的第一布线层上、另一部分布置于动尺线圈基体的第二布线层上,这种布线方式保证了第一双正弦形线圈线阵相对于第一线圈线阵和第二线圈线阵的对称性,也使第一双正弦形线圈线阵具有了“两个绕制方向”,从而更好地抵抗了外界共模干扰磁场,进一步减小了测量误差。The first double sine coil line array has the same starting position, the amplitude is A, the period is W, and the number of periods is
Figure BDA0002023392640000031
The first and second sinusoidal wire segments with a phase difference of 180° are surrounded by the first sinusoidal wire segment.
Figure BDA0002023392640000032
interval part,
Figure BDA0002023392640000033
interval portion and the second sinusoidal wire segment of the
Figure BDA0002023392640000034
The interval parts are distributed on the first wiring layer of the moving scale coil base, and the second sinusoidal wire segment is
Figure BDA0002023392640000035
interval part,
Figure BDA0002023392640000036
interval portion and the first sinusoidal wire segment
Figure BDA0002023392640000037
The interval parts are all distributed on the second wiring layer of the moving scale coil base, and the end leads of two adjacent interval parts distributed on different wiring layers are used as the signal input/output wiring of the first double sine coil array. The ends of the rest of the sections distributed on different wiring layers are connected through vias; among them, j takes 0 to
Figure BDA0002023392640000038
of all integers. A part of the first sinusoidal wire is arranged on the first wiring layer of the moving scale coil base body, the other part is arranged on the second wiring layer of the moving scale coil base body, and a part of the second sinusoidal wire is arranged on the first wiring layer of the moving scale coil base body The other part is arranged on the second wiring layer of the moving ruler coil base. This wiring method ensures the symmetry of the first double sinusoidal coil array relative to the first coil array and the second coil array, and also The first double sinusoidal coil line array has "two winding directions", so as to better resist the external common mode interference magnetic field and further reduce the measurement error.

优选的,所述动尺安装基体的顶部开设有L形缺口,所述第一双正弦形线圈线阵的信号输入/输出接线端通过该L形缺口裸露在动尺安装基体之外,方便了第一双正弦形线圈线阵的信号输入/输出接线端与后续的信号处理系统的连接。Preferably, an L-shaped notch is formed on the top of the moving ruler installation base, and the signal input/output terminals of the first double-sine coil array are exposed outside the moving ruler installation base through the L-shaped notch, which is convenient for The connection between the signal input/output terminals of the first double-sine coil array and the subsequent signal processing system.

上针对电磁感应式直线位移传感器,在进行直线位移测量时有两种接线方式:第一种是将第一线圈线阵和第二线圈线阵作为励磁线圈,将第一双正弦形线圈线阵作为感应线圈,第一线圈线阵、第二线圈线阵中分别通入两相正交的交变激励信号,当动尺与定尺沿测量方向发生相对运动时,第一双正弦形线圈线阵输出幅值恒定相位周期性变化的感应信号,对该感应信号进行鉴相处理,并经换算后得到动尺相对定尺的直线位移。第二种是将第一双正弦形线圈线阵作为励磁线圈,将第一线圈线阵和第二线圈线阵作为感应线圈,第一双正弦形线圈线阵中通入交变激励信号,当动尺与定尺沿测量方向发生相对运动时,第一线圈线阵与第二线圈线阵分别输出一路相位恒定幅值周期性变化的感应信号,对该两路感应信号进行鉴幅处理,并经换算后得到动尺相对定尺的直线位移。For the electromagnetic induction linear displacement sensor, there are two wiring methods for linear displacement measurement. As an induction coil, two-phase orthogonal alternating excitation signals are respectively passed into the first coil line array and the second coil line array. The array outputs an induction signal with a constant amplitude and a periodic change in phase, and the induction signal is subjected to phase discrimination processing, and after conversion, the linear displacement of the moving ruler relative to the fixed length is obtained. The second is to use the first double sine coil array as the excitation coil, the first coil array and the second coil array as the induction coil, and the first double sine coil array is fed with alternating excitation signals. When the moving ruler and the fixed ruler move relative to each other along the measuring direction, the first coil line array and the second coil line array respectively output one inductive signal with a constant phase and a periodic change in amplitude, and the two inductive signals are subjected to amplitude discrimination processing. After conversion, the linear displacement of the moving ruler relative to the fixed ruler is obtained.

本发明所述的另一种具有互补耦合结构的电磁感应式直线位移传感器,包括定尺和动尺,定尺包括定尺线圈基体和印制在定尺线圈基体上的传感单元,动尺为金属导磁体或者导电的金属非导磁体,所述传感器还包括定尺安装基体,定尺安装基体包括基座和限位块,基座上开设有与定尺的长度相匹配的定尺槽,定尺垂直安装在定尺槽内并通过限位块限位固定,动尺的中间开设有动尺直槽口,动尺直槽口的宽度大于定尺厚度、深度大于传感单元高度,动尺关于动尺直槽口对称,动尺沿测量方向的长度为

Figure BDA0002023392640000041
定尺插入动尺直槽口内,使动尺的前后两部分与传感单元正对耦合;所述传感单元由第一线圈线阵、第二线圈线阵和第二双正弦形线圈线阵构成,第一、第二线圈线阵的分布周期为W、分布周期个数为
Figure BDA0002023392640000042
第一线圈线阵沿测量方向的起始位置与第二线圈线阵沿测量方向的起始位置错开
Figure BDA0002023392640000043
第二双正弦形线圈线阵的分布周期为
Figure BDA0002023392640000044
分布周期个数为
Figure BDA0002023392640000045
第二双正弦形线圈线阵位于第一线圈线阵与第二线圈线阵形成的区域内,第二双正弦形线圈线阵沿测量方向的起始位置与第一线圈线阵沿测量方向的起始位置相差
Figure BDA0002023392640000046
其中,m2、n为偶数,n≥4,m2≥4,k为整数且k≥0。这种具有互补耦合结构的电磁感应式直线位移传感器具有如下效果:(1)安装过程简单,只需要将定尺垂直放置在定尺槽内并通过限位块限位固定;(2)通过基座、定尺槽、限位块配合实现定尺垂直安装,安装过程少了粘接剂的参与,定尺上的传感单元的平面度和直线度不再受粘接剂的影响,保证了传感单元的平面度和直线度;(3)定尺垂直安装,动尺关于动尺直槽口对称,定尺插入动尺直槽口内,动尺的前后两部分与传感单元正对耦合,即使动尺安装不理想或运动轨迹不理想,动尺与定尺之间的间隙总和保持不变,实现了励磁与感应之间的互补耦合,其减小了动尺与定尺的制造和安装对测量性能的影响,进一步提高了测量精度。Another electromagnetic induction linear displacement sensor with complementary coupling structure according to the present invention includes a fixed-length and a moving ruler. The fixed-length includes a fixed-length coil base and a sensing unit printed on the fixed-length coil base. The moving ruler It is a metal magnetic conductor or a conductive metal non-magnetic conductor, the sensor also includes a fixed-length installation base, the fixed-length installation base includes a base and a limit block, and a fixed-length slot matching the length of the fixed length is opened on the base. The fixed-length is vertically installed in the fixed-length groove and fixed by the limit block. There is a straight groove of the moving ruler in the middle of the moving ruler. The width of the straight groove of the moving ruler is greater than the thickness of the fixed length and the depth is greater than the height of the sensing unit. The moving ruler is symmetrical about the straight notch of the moving ruler, and the length of the moving ruler along the measuring direction is
Figure BDA0002023392640000041
The fixed ruler is inserted into the straight slot of the moving ruler, so that the front and rear parts of the moving ruler are coupled to the sensing unit; the sensing unit is composed of a first coil line array, a second coil line array and a second double sine coil line array The distribution period of the first and second coil arrays is W, and the number of distribution periods is
Figure BDA0002023392640000042
The starting position of the first coil array along the measuring direction is staggered from the starting position of the second coil array along the measuring direction
Figure BDA0002023392640000043
The distribution period of the second double sine coil array is
Figure BDA0002023392640000044
The number of distribution periods is
Figure BDA0002023392640000045
The second double-sine coil array is located in the area formed by the first coil array and the second coil array. start position difference
Figure BDA0002023392640000046
Wherein, m 2 and n are even numbers, n ≥ 4, m 2 ≥ 4, k is an integer and k ≥ 0. This electromagnetic induction linear displacement sensor with complementary coupling structure has the following effects: (1) the installation process is simple, only need to place the fixed length vertically in the fixed length groove and fix it by the limit block; (2) through the base The seat, the fixed-length groove and the limit block cooperate to realize the fixed-length vertical installation, and the participation of the adhesive is less in the installation process. The flatness and straightness of the sensing unit on the fixed-length are no longer affected by the adhesive, which ensures the The flatness and straightness of the sensing unit; (3) The fixed length is installed vertically, the moving ruler is symmetrical about the straight slot of the moving ruler, the fixed length is inserted into the straight slot of the moving ruler, and the front and rear parts of the moving ruler are coupled to the sensing unit. , even if the moving ruler is not installed ideally or the motion trajectory is not ideal, the total gap between the moving ruler and the fixed length remains unchanged, realizing the complementary coupling between the excitation and the induction, which reduces the manufacturing and cost of the moving ruler and the fixed length. The impact of installation on measurement performance further improves measurement accuracy.

所述第一线圈线阵和第二线圈线阵由长度为L的4n条直导线以及连接所述直导线的连接线组成,其中2n+2条直导线沿测量方向分布于定尺线圈基体的第一布线层上,另外的2n-2条直导线沿测量方向分布于定尺线圈基体的第四布线层上,且与分布于第一布线层的中间的2n-2条直导线对称;同一布线层上相邻两条直导线沿测量方向的间距为

Figure BDA0002023392640000051
第一布线层上的第2i+1条直导线与第四布线层上的第2i+1条直导线通过连接线、过孔连接,第四布线层上的第2i+1条直导线与第一布线层上的第2i+5条直导线通过连接线、过孔连接,第一布线层上的第2n-1条直导线与第一布线层上的第2n+1条直导线通过连接线、过孔连接,形成第一线圈线阵,在第一布线层上的第1条、第3条直导线的未连接端部引线作为第一线圈线阵的信号输入/输出接线端;第一布线层上的第2i+2条直导线与第四布线层上的第2i+2条直导线通过连接线、过孔连接,第四布线层上的第2i+2条直导线与第一布线层上的第2i+6条直导线通过连接线、过孔连接,第一布线层上的第2n条直导线与第一布线层上的第2n+2条直导线通过连接线、过孔连接,形成第二线圈线阵,在第一布线层上的第2条、第4条直导线的未连接端部引线作为第二线圈线阵的信号输入/输出接线端;其中,i依次取0至n-2的所有整数。The first coil line array and the second coil line array are composed of 4n straight wires with a length of L and connecting wires connecting the straight wires, wherein 2n+2 straight wires are distributed along the measurement direction on the fixed-length coil base. On the first wiring layer, another 2n-2 straight wires are distributed along the measurement direction on the fourth wiring layer of the fixed-length coil base, and are symmetrical with the 2n-2 straight wires distributed in the middle of the first wiring layer; the same The distance between two adjacent straight wires on the wiring layer along the measurement direction is
Figure BDA0002023392640000051
The 2i+1th straight wire on the first wiring layer and the 2i+1st straight wire on the fourth wiring layer are connected by connecting wires and vias, and the 2i+1th straight wire on the fourth wiring layer is connected with the 2nd wire. The 2i+5th straight wires on a wiring layer are connected by connecting wires and vias, and the 2n-1th straight wires on the first wiring layer and the 2n+1th straight wires on the first wiring layer are connected by connecting wires , connected via holes to form a first coil line array, and the unconnected end leads of the first and third straight wires on the first wiring layer are used as the signal input/output terminals of the first coil line array; the first The 2i+2th straight wire on the wiring layer and the 2i+2th straight wire on the fourth wiring layer are connected by connecting wires and vias, and the 2i+2th straight wire on the fourth wiring layer is connected with the first wiring The 2i+6th straight wires on the layer are connected by connecting wires and vias, and the 2nth straight wires on the first wiring layer are connected with the 2n+2th straight wires on the first wiring layer by connecting wires and vias. , form a second coil line array, and the unconnected end leads of the second and fourth straight wires on the first wiring layer are used as the signal input/output terminals of the second coil line array; wherein, i takes 0 in turn All integers up to n-2.

所述第二双正弦形线圈线阵由起始位置相同、幅值为A、周期为

Figure BDA0002023392640000052
周期个数为
Figure BDA0002023392640000053
相位互差180°的第三、第四正弦导线段围成,第三正弦导线段的
Figure BDA0002023392640000054
区间部分、
Figure BDA0002023392640000055
区间部分以及第四正弦导线段的
Figure BDA0002023392640000056
区间部分都分布于定尺线圈基体的第二布线层上,第四正弦导线段的
Figure BDA0002023392640000057
区间部分、
Figure BDA0002023392640000058
区间部分以及第三正弦导线段的
Figure BDA0002023392640000059
区间部分都分布于定尺线圈基体的第三布线层上,在分布于不同布线层上的某相邻两个区间部分的端部引线作为第二双正弦形线圈线阵的信号输入/输出接线端,其余分布于不同布线层上的各区间部分的端部通过过孔连接;其中,j依次取0至
Figure BDA00020233926400000510
的所有整数。The second double sine coil array has the same starting position, amplitude A, and period
Figure BDA0002023392640000052
The number of cycles is
Figure BDA0002023392640000053
The third and fourth sinusoidal wire segments with a phase difference of 180° are surrounded by the third sinusoidal wire segment.
Figure BDA0002023392640000054
interval part,
Figure BDA0002023392640000055
Interval section and fourth sinusoidal wire segment of
Figure BDA0002023392640000056
The interval parts are distributed on the second wiring layer of the fixed-length coil base, and the fourth sinusoidal wire segment is
Figure BDA0002023392640000057
interval part,
Figure BDA0002023392640000058
interval section and the third sinusoidal wire segment
Figure BDA0002023392640000059
The interval parts are all distributed on the third wiring layer of the fixed-length coil base, and the end leads of two adjacent interval parts distributed on different wiring layers are used as the signal input/output wiring of the second double sine coil array The ends of the rest of the sections distributed on different wiring layers are connected through vias; among them, j takes 0 to
Figure BDA00020233926400000510
of all integers.

定尺线圈基体的第一、第四布线层上的第奇数条直导线通过连接构成第一线圈线阵,定尺线圈基体的第一、第四布线层上的第偶数条直导线通过连接构成第二线圈线阵,第三正弦导线的一部分布置于定尺线圈基体的第二布线层上、另一部分布置于定尺线圈基体的第三布线层上,第四正弦导线的一部分布置于定尺线圈基体的第二布线层上、另一部分布置于定尺线圈基体的第三布线层上,这种交叉布线方式保证了线圈的对称性,保证了第一线圈线阵和第二线圈线阵相对于第二双正弦形线圈线阵的对称性,也使第一线圈线阵、第二线圈线阵、第二双正弦形线圈线阵都具有了“两个绕制方向”,从而更好地抵抗了外界共模干扰磁场,进一步减小了测量误差。The odd-numbered straight wires on the first and fourth wiring layers of the fixed-length coil base are connected to form the first coil array, and the even-numbered straight wires on the first and fourth wiring layers of the fixed-length coil base are connected to form The second coil array, a part of the third sinusoidal wire is arranged on the second wiring layer of the fixed-length coil base, the other part is arranged on the third wiring layer of the fixed-length coil base, and a part of the fourth sinusoidal wire is arranged on the fixed-length coil The other part is arranged on the second wiring layer of the coil base, and the other part is arranged on the third wiring layer of the fixed-length coil base. This cross wiring method ensures the symmetry of the coil and ensures that the first coil line array and the second coil line array are opposite to each other. Due to the symmetry of the second double sine coil array, the first coil array, the second coil array, and the second double sine coil array all have "two winding directions", so as to better It resists the external common mode interference magnetic field and further reduces the measurement error.

上针对电磁感应式直线位移传感器,在进行直线位移测量时有两种接线方式:第一种是将第一线圈线阵和第二线圈线阵作为励磁线圈,将第二双正弦形线圈线阵作为感应线圈,第一线圈线阵、第二线圈线阵中分别通入两相正交的交变激励信号,当动尺与定尺沿测量方向发生相对运动时,第二双正弦形线圈线阵输出幅值恒定相位周期性变化的感应信号,对该感应信号进行鉴相处理,并经换算后得到动尺相对定尺的直线位移。第二种是将第二双正弦形线圈线阵作为励磁线圈,将第一线圈线阵和第二线圈线阵作为感应线圈,第二双正弦形线圈线阵中通入交变激励信号,当动尺与定尺沿测量方向发生相对运动时,第一线圈线阵与第二线圈线阵分别输出一路相位恒定幅值周期性变化的感应信号,对该两路感应信号进行鉴幅处理,并经换算后得到动尺相对定尺的直线位移。For the electromagnetic induction linear displacement sensor, there are two wiring methods for linear displacement measurement: the first is to use the first coil line array and the second coil line array as the excitation coil, and the second double sine coil line array As an induction coil, two-phase orthogonal alternating excitation signals are respectively passed into the first coil line array and the second coil line array. The array outputs an induction signal with a constant amplitude and a periodic change in phase, and the induction signal is subjected to phase discrimination processing, and after conversion, the linear displacement of the moving ruler relative to the fixed length is obtained. The second is to use the second double sine coil array as the excitation coil, the first coil array and the second coil array as the induction coil, and the second double sine coil array to pass the alternating excitation signal. When the moving ruler and the fixed ruler move relative to each other along the measuring direction, the first coil line array and the second coil line array respectively output one inductive signal with a constant phase and a periodic change in amplitude, and the two inductive signals are subjected to amplitude discrimination processing. After conversion, the linear displacement of the moving ruler relative to the fixed ruler is obtained.

附图说明Description of drawings

图1为实施例1、实施例2的总体结构示意图。FIG. 1 is a schematic diagram of the overall structure of Embodiment 1 and Embodiment 2. FIG.

图2为图1的截面示意图。FIG. 2 is a schematic cross-sectional view of FIG. 1 .

图3为实施例1、实施例2中的定尺的结构示意图。FIG. 3 is a schematic structural diagram of the sizing in Example 1 and Example 2. FIG.

图4为实施例1、实施例2中的传感单元的布线示意图。FIG. 4 is a schematic diagram of the wiring of the sensing unit in Embodiment 1 and Embodiment 2. FIG.

图5为实施例1、实施例2中的定尺线圈基体上的第一布线层上的布线示意图。FIG. 5 is a schematic diagram of the wiring on the first wiring layer on the fixed-length coil base in Embodiment 1 and Embodiment 2. FIG.

图6为实施例1、实施例2中的定尺线圈基体上的第四布线层上的布线示意图。FIG. 6 is a schematic diagram of wiring on the fourth wiring layer on the fixed-length coil base in Embodiment 1 and Embodiment 2. FIG.

图7为实施例1、实施例2中的定尺线圈基体上的第二布线层上的布线示意图。FIG. 7 is a schematic diagram of wiring on the second wiring layer on the fixed-length coil base in Embodiment 1 and Embodiment 2. FIG.

图8为实施例1、实施例2中的定尺线圈基体上的第三布线层上的布线示意图。FIG. 8 is a schematic diagram of wiring on the third wiring layer on the fixed-length coil base in Embodiment 1 and Embodiment 2. FIG.

图9为实施例1、实施例2中的定尺安装基体的分解示意图。FIG. 9 is an exploded schematic view of the fixed-length mounting base in Embodiment 1 and Embodiment 2. FIG.

图10为实施例1、实施例2中的动尺的结构示意图。FIG. 10 is a schematic structural diagram of the moving ruler in Embodiment 1 and Embodiment 2. FIG.

图11为实施例3、实施例4的总体结构示意图。FIG. 11 is a schematic diagram of the overall structure of Embodiment 3 and Embodiment 4. FIG.

图12为图11的侧面示意图。FIG. 12 is a schematic side view of FIG. 11 .

图13为实施例3、实施例4中的定尺的结构示意图。FIG. 13 is a schematic structural diagram of the sizing in Example 3 and Example 4. FIG.

图14为实施例3、实施例4中的定尺传感单元的布线示意图。FIG. 14 is a schematic diagram of the wiring of the fixed-length sensing unit in Embodiment 3 and Embodiment 4. FIG.

图15为实施例3、实施例4中的动尺的结构示意图。FIG. 15 is a schematic structural diagram of the moving ruler in Embodiment 3 and Embodiment 4. FIG.

图16为实施例3、实施例4中的动尺传感单元的布线示意图。FIG. 16 is a schematic diagram of the wiring of the moving scale sensing unit in the third and fourth embodiments.

图17为实施例3、实施例4中的动尺安装基体的结构示意图。FIG. 17 is a schematic structural diagram of the moving ruler mounting base in Embodiment 3 and Embodiment 4. FIG.

具体实施方式Detailed ways

下面结合附图对本发明作详细说明。The present invention will be described in detail below with reference to the accompanying drawings.

定义测量方向为定尺长度方向(即X轴方向),垂直于定尺尺面方向为前后方向(即Y轴方向),垂直于定尺安装基体表面方向为上下方向(即Z轴方向)。The measurement direction is defined as the length direction of the fixed length (that is, the X-axis direction), the direction perpendicular to the fixed-length surface is the front-rear direction (that is, the Y-axis direction), and the direction perpendicular to the surface of the fixed-length installation base is the up and down direction (that is, the Z-axis direction).

实施例1:如图1至图10所示的具有互补耦合结构的电磁感应式直线位移传感器,包括定尺1、定尺安装基体2和动尺3。定尺1包括定尺线圈基体11和印制在定尺线圈基体11上的传感单元,定尺线圈基体11的下侧具有两个通孔,用于定尺1在定尺安装基体2上的安装。Embodiment 1: The electromagnetic induction linear displacement sensor with complementary coupling structure as shown in FIG. 1 to FIG. 10 includes a fixed length 1 , a fixed length installation base 2 and a moving ruler 3 . The fixed-length 1 includes a fixed-length coil base 11 and a sensing unit printed on the fixed-length coil base 11. The lower side of the fixed-length coil base 11 has two through holes for the fixed-length 1 to be installed on the fixed-length installation base 2. installation.

如图4至图8所示,传感单元由第一线圈线阵121、第二线圈线阵122和第二双正弦形线圈线阵13构成,第一线圈线阵121、第二线圈线阵122、第二双正弦形线圈线阵13都为平面线圈,分布在定尺线圈基体11的4个布线层(即第一、第二、第三、第四布线层)上。As shown in FIG. 4 to FIG. 8 , the sensing unit is composed of a first coil array 121 , a second coil array 122 and a second double sinusoidal coil array 13 . The first coil array 121 and the second coil array 121 122. The second double sinusoidal coil arrays 13 are all plane coils, which are distributed on the four wiring layers (ie, the first, second, third, and fourth wiring layers) of the fixed-length coil base 11 .

如图4、图5、图6所示,第一线圈线阵121的分布周期为W、分布周期个数为4个,第二线圈线阵122的分布周期为W、分布周期个数为4个,第一线圈线阵121沿测量方向的起始位置与第二线圈线阵122沿测量方向的起始位置错开

Figure BDA0002023392640000071
第一线圈线阵121和第二线圈线阵122由长度为L的32条直导线以及连接这些直导线的连接线组成,其中18条直导线沿测量方向分布于定尺线圈基体11的第一布线层上,另外的14条直导线沿测量方向分布于定尺线圈基体11的第四布线层上,这14条直导线与分布于第一布线层的中间的14条直导线对称(即在Y轴方向的投影重合),同一布线层上相邻两条直导线沿测量方向的间距为
Figure BDA0002023392640000072
第一布线层上的第2i+1条直导线与第四布线层上的第2i+1条直导线通过连接线、过孔连接,第四布线层上的第2i+1条直导线与第一布线层上的第2i+5条直导线通过连接线、过孔连接,第一布线层上的第15条直导线与第一布线层上的第17条直导线通过连接线、过孔连接,形成第一线圈线阵121,第一布线层上的第1条直导线的未连接端部通过过孔在第四布线层上引线作为第一线圈线阵121的信号输入/输出接线端一,第一布线层上的第3条直导线的未连接端部直接在第一布线层上引线作为第一线圈线阵121的信号输入/输出接线端二;第一布线层上的第2i+2条直导线与第四布线层上的第2i+2条直导线通过连接线、过孔连接,第四布线层上的第2i+2条直导线与第一布线层上的第2i+6条直导线通过连接线、过孔连接,第一布线层上的第16条直导线与第一布线层上的第18条直导线通过连接线、过孔连接,形成第二线圈线阵122,第一布线层上的第2条直导线的未连接端部通过过孔在第四布线层上引线作为第二线圈线阵122的信号输入/输出接线端一,第一布线层上的第4条直导线的未连接端部直接在第一布线层上引线作为第二线圈线阵122的信号输入/输出接线端二;其中,i依次取0至6的所有整数。As shown in FIG. 4 , FIG. 5 , and FIG. 6 , the distribution period of the first coil array 121 is W and the number of distribution periods is 4, and the distribution period of the second coil array 122 is W and the number of distribution periods is 4 One, the starting position of the first coil array 121 along the measuring direction is staggered from the starting position of the second coil array 122 along the measuring direction
Figure BDA0002023392640000071
The first coil array 121 and the second coil array 122 are composed of 32 straight wires with length L and connecting wires connecting these straight wires, wherein 18 straight wires are distributed along the measurement direction on the first part of the fixed-length coil base 11 . On the wiring layer, another 14 straight wires are distributed along the measurement direction on the fourth wiring layer of the fixed-length coil base 11. These 14 straight wires are symmetrical with the 14 straight wires distributed in the middle of the first wiring layer (that is, in the The projections in the Y-axis direction coincide), and the distance between two adjacent straight wires on the same wiring layer along the measurement direction is
Figure BDA0002023392640000072
The 2i+1th straight wire on the first wiring layer and the 2i+1st straight wire on the fourth wiring layer are connected by connecting wires and vias, and the 2i+1th straight wire on the fourth wiring layer is connected with the 2nd wire. The 2i+5th straight wire on a wiring layer is connected by connecting wires and vias, and the 15th straight wire on the first wiring layer and the 17th straight wire on the first wiring layer are connected by connecting wires and vias , the first coil array 121 is formed, and the unconnected end of the first straight wire on the first wiring layer is routed on the fourth wiring layer through the via hole as the signal input/output terminal of the first coil array 121. , the unconnected end of the third straight wire on the first wiring layer is directly connected to the first wiring layer as the signal input/output terminal 2 of the first coil array 121; the 2i+ on the first wiring layer The 2 straight wires are connected to the 2i+2 straight wires on the fourth wiring layer through connecting wires and vias, and the 2i+2 straight wires on the fourth wiring layer are connected to the 2i+6 straight wires on the first wiring layer. The straight wires are connected by connecting wires and vias, and the 16th straight wires on the first wiring layer and the 18th straight wires on the first wiring layer are connected by connecting wires and vias to form the second coil line array 122. The unconnected end of the second straight wire on the first wiring layer is routed on the fourth wiring layer as the signal input/output terminal of the second coil array 122 through the via hole. One, the fourth wire on the first wiring layer The unconnected end of the straight wire is directly connected to the first wiring layer as the second signal input/output terminal of the second coil array 122; wherein, i takes all integers from 0 to 6 in sequence.

如图4、图7、图8所示,第二双正弦形线圈线阵13位于第一线圈线阵121与第二线圈线阵122形成的区域内,第二双正弦形线圈线阵13沿测量方向的起始位置与第一线圈线阵121沿测量方向的起始位置相差

Figure BDA0002023392640000081
第二双正弦形线圈线阵13由起始位置相同、幅值为A、周期为
Figure BDA0002023392640000082
周期个数为7个、相位互差180°的第三、第四正弦导线段围成,第三正弦导线段的
Figure BDA0002023392640000083
区间部分、
Figure BDA0002023392640000084
区间部分以及第四正弦导线段的
Figure BDA0002023392640000085
Figure BDA0002023392640000086
区间部分都分布于定尺线圈基体11的第二布线层上,第四正弦导线段的
Figure BDA0002023392640000087
区间部分、
Figure BDA0002023392640000088
区间部分以及第三正弦导线段的
Figure BDA0002023392640000089
区间部分都分布于定尺线圈基体11的第三布线层上;在第四正弦导线段的
Figure BDA00020233926400000810
位置处,通过分别在定尺线圈基体11的第二布线层和第三布线层上引线作为第二双正弦形线圈线阵13的信号输入/输出接线端,其余分布于不同布线层上的各区间部分的端部通过过孔连接;其中,j依次取0至6的所有整数,2A<L。As shown in FIG. 4 , FIG. 7 , and FIG. 8 , the second double sine coil array 13 is located in the area formed by the first coil array 121 and the second coil array 122 , and the second double sine coil array 13 is along the The initial position of the measurement direction is different from the initial position of the first coil array 121 along the measurement direction
Figure BDA0002023392640000081
The second double-sine coil array 13 has the same starting position, the amplitude is A, and the period is
Figure BDA0002023392640000082
The third and fourth sinusoidal wire segments with 7 periods and 180° phase difference from each other are surrounded by the third sinusoidal wire segment.
Figure BDA0002023392640000083
interval part,
Figure BDA0002023392640000084
Interval section and fourth sinusoidal wire segment of
Figure BDA0002023392640000085
Figure BDA0002023392640000086
The interval parts are all distributed on the second wiring layer of the fixed-length coil base 11, and the fourth sinusoidal wire segment has
Figure BDA0002023392640000087
interval part,
Figure BDA0002023392640000088
interval section and the third sinusoidal wire segment
Figure BDA0002023392640000089
The interval parts are distributed on the third wiring layer of the fixed-length coil base 11;
Figure BDA00020233926400000810
At the position, the second wiring layer and the third wiring layer of the fixed-length coil base 11 are used as the signal input/output terminals of the second double-sine coil array 13, and the rest are distributed on the different wiring layers. The ends of the interval parts are connected by via holes; wherein, j takes all integers from 0 to 6 in sequence, 2A<L.

如图9所示,定尺安装基体2包括基座21和限位块22,基座21上开设有与定尺1的长度相匹配的定尺槽,基座21上的定尺槽侧面有两个螺丝孔,螺丝孔位置与定尺线圈基体11上的通孔一一对应,对应螺丝孔的位置,限位块22上也开设有两个通孔,螺丝23穿过限位块22和定尺线圈基体11上的通孔,进入螺丝孔并旋紧,使定尺1被基座21和限位块22压紧,定尺1的传感单元区域须避开定尺槽部分。As shown in FIG. 9, the fixed-length installation base 2 includes a base 21 and a limit block 22. The base 21 is provided with a fixed-length groove that matches the length of the fixed-length 1. The side of the fixed-length groove on the base 21 has Two screw holes, the positions of the screw holes correspond to the through holes on the fixed-length coil base 11 one-to-one, corresponding to the positions of the screw holes, the limit block 22 is also provided with two through holes, and the screws 23 pass through the limit block 22 and The through hole on the base 11 of the fixed-length coil is inserted into the screw hole and tightened, so that the fixed-length 1 is pressed by the base 21 and the limit block 22, and the sensing unit area of the fixed-length 1 must avoid the fixed-length groove.

如图10所示,动尺3为矩形导磁体,动尺3的中间开设有动尺直槽口33,动尺直槽口33在Y轴方向上的尺寸大于定尺厚度、在Z轴方向上的尺寸大于传感单元在Z轴方向上的尺寸,动尺3关于动尺直槽口33对称,动尺3沿测量方向的长度(即在X轴方向上的尺寸)为

Figure BDA00020233926400000811
定尺1插入动尺直槽口33内,使动尺3的前、后两部分与传感单元正对耦合(参见图1)。As shown in FIG. 10 , the moving ruler 3 is a rectangular magnet conducting body, and a moving ruler straight notch 33 is opened in the middle of the moving ruler 3. The size of the moving ruler straight notch 33 in the Y-axis direction is larger than the fixed-length thickness and in the Z-axis direction. The size of the sensor unit is larger than the size of the sensing unit in the Z-axis direction, the moving ruler 3 is symmetrical about the straight notch 33 of the moving ruler, and the length of the moving ruler 3 along the measuring direction (that is, the size in the X-axis direction) is
Figure BDA00020233926400000811
The fixed ruler 1 is inserted into the straight slot 33 of the moving ruler, so that the front and rear parts of the moving ruler 3 are coupled to the sensing unit (see FIG. 1 ).

将第一线圈线阵121和第二线圈线阵122作为励磁线圈,将第二双正弦形线圈线阵13作为感应线圈,在第一线圈线阵121和第二线圈线阵122中分别通入幅值为Im的电流i121=Imsin(ωt)和i122=Imcos(ωt),则第一线圈线阵121和第二线圈线阵122与第二双正弦形线圈线阵13通过磁场产生耦合。由于动尺3为导磁体,所以动尺3所处位置的第一线圈线阵121和第二线圈线阵122与第二双正弦形线圈线阵13的磁场耦合较强(相较于其他位置)。当动尺3相对于定尺1在X轴方向上发生相对运动时,第一线圈线阵121和第二线圈线阵122与第二双正弦形线圈线阵13之间的磁场耦合发生周期性变化。The first coil array 121 and the second coil array 122 are used as excitation coils, and the second double-sine coil array 13 is used as an induction coil, which is respectively connected to the first coil array 121 and the second coil array 122. The current i 121 =I m sin(ωt) and i 122 =I m cos(ωt) with the amplitude of Im , then the first coil array 121 and the second coil array 122 and the second double sine coil array 13 Coupling occurs through a magnetic field. Since the moving ruler 3 is a magnetic conductor, the magnetic field coupling between the first coil array 121 and the second coil array 122 and the second double sine coil array 13 at the position where the moving ruler 3 is located is relatively strong (compared to other positions ). When the moving ruler 3 moves relative to the fixed ruler 1 in the X-axis direction, the magnetic field coupling between the first coil array 121 , the second coil array 122 and the second double sinusoidal coil array 13 periodically occurs Variety.

设计第二双正弦形线圈线阵13为正弦形状,目的在于让第二双正弦形线圈线阵13中磁通量的变化呈正弦规律变化,如式(1)和(2)所示:The second double-sine coil array 13 is designed to be sinusoidal, and the purpose is to make the change of the magnetic flux in the second double-sine coil array 13 change in a sinusoidal law, as shown in equations (1) and (2):

Figure BDA0002023392640000091
Figure BDA0002023392640000091

Figure BDA0002023392640000092
Figure BDA0002023392640000092

其中,ω表示电流频率,

Figure BDA0002023392640000093
表示在第一线圈线阵121作用下,第二双正弦形线圈线阵13产生的磁通变化,
Figure BDA0002023392640000094
表示在第二线圈线阵122作用下,第二双正弦形线圈线阵13产生的磁通变化,
Figure BDA0002023392640000095
表示磁通量的幅值,x表示被测直线位移(即动尺3相对于定尺1在X轴方向上的位移)。where ω is the current frequency,
Figure BDA0002023392640000093
represents the change of the magnetic flux generated by the second double sinusoidal coil array 13 under the action of the first coil array 121,
Figure BDA0002023392640000094
represents the change of the magnetic flux generated by the second double sinusoidal coil array 13 under the action of the second coil array 122,
Figure BDA0002023392640000095
Represents the magnitude of the magnetic flux, and x represents the measured linear displacement (that is, the displacement of the moving ruler 3 relative to the fixed ruler 1 in the X-axis direction).

由于第一线圈线阵121和第二线圈线阵122产生的磁场在第二双正弦形线圈线阵13中叠加,所以根据法拉第电磁感应定律,第二双正弦形线圈线阵13输出幅值恒定、相位发生周期性变化的感应信号,如式(3)所示:Since the magnetic fields generated by the first coil array 121 and the second coil array 122 are superimposed in the second double sine coil array 13, according to Faraday's law of electromagnetic induction, the output amplitude of the second double sine coil array 13 is constant. , the induction signal whose phase changes periodically, as shown in formula (3):

Figure BDA0002023392640000096
Figure BDA0002023392640000096

将式(3)进行鉴相处理,得到其相位

Figure BDA0002023392640000097
然后经过换算得到动尺3相对于定尺1在X轴方向上的位移x。Perform phase discrimination processing on formula (3) to obtain its phase
Figure BDA0002023392640000097
Then, the displacement x of the moving ruler 3 relative to the fixed ruler 1 in the X-axis direction is obtained after conversion.

实施例2:如图1至图10所示,本实施例中的具有互补耦合结构的电磁感应式直线位移传感器的结构与实施例1相同,不同之处在于:将第二双正弦形线圈线阵13作为励磁线圈,将第一线圈线阵121和第二线圈线阵122作为感应线圈,第二双正弦形线圈线阵13中通入幅值为Im的电流i13=Imsin(ωt),第一线圈线阵121和第二线圈线阵122输出感应信号。当动尺3相对于定尺1在X轴方向上发生相对运动时,第一线圈线阵121和第二线圈线阵122与第二双正弦形线圈线阵13之间的磁场耦合发生周期性变化。Embodiment 2: As shown in FIG. 1 to FIG. 10 , the structure of the electromagnetic induction linear displacement sensor with complementary coupling structure in this embodiment is the same as that of Embodiment 1, the difference is: the second double sinusoidal coil wire The array 13 is used as the excitation coil, the first coil line array 121 and the second coil line array 122 are used as the induction coils, and the current i 13 =I m sin ( ωt), the first coil array 121 and the second coil array 122 output inductive signals. When the moving ruler 3 moves relative to the fixed ruler 1 in the X-axis direction, the magnetic field coupling between the first coil array 121 , the second coil array 122 and the second double sinusoidal coil array 13 periodically occurs Variety.

第一线圈线阵121和第二线圈线阵122中磁通量的变化如式(4)和(5)所示:The changes of the magnetic fluxes in the first coil array 121 and the second coil array 122 are shown in equations (4) and (5):

Figure BDA0002023392640000098
Figure BDA0002023392640000098

Figure BDA0002023392640000099
Figure BDA0002023392640000099

其中,

Figure BDA00020233926400000910
表示磁通量的幅值。in,
Figure BDA00020233926400000910
represents the magnitude of the magnetic flux.

根据法拉第电磁感应定律,第一线圈线阵121和第二线圈线阵122输出信号的幅值发生周期性变化,如式(6)和(7)所示:According to Faraday's law of electromagnetic induction, the amplitudes of the output signals of the first coil array 121 and the second coil array 122 change periodically, as shown in equations (6) and (7):

Figure BDA0002023392640000101
Figure BDA0002023392640000101

Figure BDA0002023392640000102
Figure BDA0002023392640000102

将式(6)和(7)表示的感应信号进行鉴幅处理,得到两路信号的幅值

Figure BDA0002023392640000103
Figure BDA0002023392640000104
将这两个幅值相除,并对结果求反正切或反余切,得到
Figure BDA0002023392640000105
的值,然后经过换算得到动尺3相对于定尺1在X轴方向上的位移x。The induction signals represented by equations (6) and (7) are subjected to amplitude discrimination processing to obtain the amplitudes of the two signals
Figure BDA0002023392640000103
and
Figure BDA0002023392640000104
Divide these two magnitudes and find the arctangent or inverse cotangent of the result to get
Figure BDA0002023392640000105
The value of , and then the displacement x of the moving ruler 3 relative to the fixed ruler 1 in the X-axis direction is obtained after conversion.

实施例3:如图11至图17所示的具有互补耦合结构的电磁感应式直线位移传感器,包括定尺1、定尺安装基体2、动尺安装基体4和相同的两块动尺3。Embodiment 3: The electromagnetic induction linear displacement sensor with complementary coupling structure shown in FIG. 11 to FIG. 17 includes a fixed length 1 , a fixed length installation base 2 , a moving ruler installation base 4 and the same two moving rulers 3 .

如图13、图14所示,定尺1包括定尺线圈基体11和印制在定尺线圈基体11上的定尺传感单元,定尺线圈基体11的下侧具有两个通孔,用于定尺1在定尺安装基体2上的安装。定尺传感单元由第一线圈线阵121和第二线圈线阵122构成,第一线圈线阵121、第二线圈线阵122都为平面线圈,分布在定尺线圈基体11的2个布线层(即第一、第二布线层)上。As shown in FIG. 13 and FIG. 14 , the fixed-length 1 includes a fixed-length coil base 11 and a fixed-length sensing unit printed on the fixed-length coil base 11. The lower side of the fixed-length coil base 11 has two through holes, which are used for For the installation of the fixed length 1 on the fixed length installation base 2. The fixed-length sensing unit is composed of a first coil line array 121 and a second coil line array 122 . The first coil line array 121 and the second coil line array 122 are both plane coils, which are distributed in two wirings of the fixed-length coil base 11 . layers (ie, the first and second wiring layers).

第一线圈线阵121的分布周期为W、分布周期个数为4个,第二线圈线阵122的分布周期为W、分布周期个数为4个,第一线圈线阵121沿测量方向的起始位置与第二线圈线阵122沿测量方向的起始位置错开

Figure BDA0002023392640000106
第一线圈线阵121和第二线圈线阵122由长度为L的32条直导线以及连接所述直导线的连接线组成,其中18条直导线沿测量方向分布于定尺线圈基体11的第一布线层上,另外的14条直导线沿测量方向分布于定尺线圈基体11的第二布线层上,这14条直导线与与分布于第一布线层的中间的14条直导线对称(即在Y轴方向的投影重合);同一布线层上相邻两条直导线沿测量方向的间距为
Figure BDA0002023392640000107
第一布线层上的第2i+1条直导线与第二布线层上的第2i+1条直导线通过连接线、过孔连接,第二布线层上的第2i+1条直导线与第一布线层上的第2i+5条直导线通过连接线、过孔连接,第一布线层上的第15条直导线与第一布线层上的第17条直导线通过连接线、过孔连接,形成第一线圈线阵121,第一布线层上的第1条直导线的未连接端部通过过孔在第二布线层上引线作为第一线圈线阵121的信号输入/输出接线端一,第一布线层上的第3条直导线的未连接端部直接在第一布线层上引线作为第一线圈线阵121的信号输入/输出接线端二;第一布线层上的第2i+2条直导线与第二布线层上的第2i+2条直导线通过连接线、过孔连接,第二布线层上的第2i+2条直导线与第一布线层上的第2i+6条直导线通过连接线、过孔连接,第一布线层上的第16条直导线与第一布线层上的第18条直导线通过连接线、过孔连接,形成第二线圈线阵122,第一布线层上的第2条直导线的未连接端部通过过孔在第二布线层上引线作为第二线圈线阵122的信号输入/输出接线端一,在第一布线层上的第4条直导线的未连接端部直接在第一布线层上引线作为第二线圈线阵122的信号输入/输出接线端二;其中,i依次取0至6的所有整数。The distribution period of the first coil line array 121 is W and the number of distribution periods is 4. The distribution period of the second coil line array 122 is W and the number of distribution periods is 4. The first coil line array 121 is along the measurement direction. The starting position is staggered from the starting position of the second coil array 122 along the measurement direction
Figure BDA0002023392640000106
The first coil array 121 and the second coil array 122 are composed of 32 straight wires with a length of L and connecting wires connecting the straight wires, of which 18 straight wires are distributed along the measurement direction on the No. 1 position of the fixed-length coil base 11 . On one wiring layer, another 14 straight wires are distributed along the measurement direction on the second wiring layer of the fixed-length coil base 11. These 14 straight wires are symmetrical with the 14 straight wires distributed in the middle of the first wiring layer ( That is, the projections in the Y-axis direction coincide); the distance between two adjacent straight wires on the same wiring layer along the measurement direction is
Figure BDA0002023392640000107
The 2i+1th straight wire on the first wiring layer and the 2i+1st straight wire on the second wiring layer are connected by connecting wires and vias, and the 2i+1th straight wire on the second wiring layer is connected with the 2nd wiring layer. The 2i+5th straight wire on a wiring layer is connected by connecting wires and vias, and the 15th straight wire on the first wiring layer and the 17th straight wire on the first wiring layer are connected by connecting wires and vias , the first coil array 121 is formed, and the unconnected end of the first straight wire on the first wiring layer is connected to the second wiring layer through the via hole as the signal input/output terminal of the first coil array 121. , the unconnected end of the third straight wire on the first wiring layer is directly connected to the first wiring layer as the signal input/output terminal 2 of the first coil array 121; the 2i+ on the first wiring layer The 2 straight wires are connected to the 2i+2 straight wires on the second wiring layer through connecting wires and vias, and the 2i+2 straight wires on the second wiring layer are connected to the 2i+6 straight wires on the first wiring layer. The straight wires are connected by connecting wires and vias, and the 16th straight wires on the first wiring layer and the 18th straight wires on the first wiring layer are connected by connecting wires and vias to form the second coil line array 122. The unconnected end of the second straight wire on the first wiring layer is wired on the second wiring layer as the signal input/output terminal 1 of the second coil array 122 through the via hole. The unconnected ends of the four straight wires are directly connected to the first wiring layer as the second signal input/output terminal of the second coil array 122 ; wherein, i takes all integers from 0 to 6 in sequence.

定尺安装基体2包括基座21和限位块22,基座21上开设有与定尺1的长度相匹配的定尺槽,基座21上的定尺槽侧面有两个螺丝孔,螺丝孔位置与定尺线圈基体11上的通孔一一对应,对应螺丝孔的位置,限位块22上也开设有两个通孔,螺丝23穿过限位块22和定尺线圈基体11上的通孔,进入螺丝孔并旋紧,使定尺1被基座21和限位块22压紧,定尺1的定尺传感单元区域须避开定尺槽部分。The fixed-length installation base 2 includes a base 21 and a limit block 22. The base 21 is provided with a fixed-length groove that matches the length of the fixed-length 1. The side of the fixed-length groove on the base 21 has two screw holes. The positions of the holes correspond to the through holes on the fixed-length coil base 11 one-to-one, and correspond to the positions of the screw holes. Two through holes are also opened on the limit block 22, and the screws 23 pass through the limit block 22 and the fixed-length coil base 11. The through hole of the fixed length is inserted into the screw hole and tightened, so that the fixed length 1 is pressed by the base 21 and the limit block 22, and the fixed length sensing unit area of the fixed length 1 must avoid the fixed length groove part.

如图15、图16所示,动尺3包括动尺线圈基体31和印制在动尺线圈基体31上的动尺传感单元,动尺传感单元由第一双正弦形线圈线阵32构成,第一双正弦形线圈线阵32为平面线圈,分布在动尺线圈基体31的2个布线层(即第一、第二布线层)上;第一双正弦形线圈线阵32由起始位置相同、幅值为A(2A<L)、周期为W、周期个数为1个、相位互差180°的第一、第二正弦导线段围成,第一正弦导线段的

Figure BDA0002023392640000111
区间部分、
Figure BDA0002023392640000112
区间部分以及第二正弦导线段的
Figure BDA0002023392640000113
区间部分都分布于动尺线圈基体31的第一布线层上,第二正弦导线段的
Figure BDA0002023392640000114
区间部分、
Figure BDA0002023392640000115
区间部分以及第一正弦导线段的
Figure BDA0002023392640000116
区间部分都分布于动尺线圈基体31的第二布线层上,在第一正弦导线段的
Figure BDA0002023392640000117
位置处,通过分别在第一布线层和第二布线层上引线作为第一双正弦形线圈线阵32的信号输入/输出接线端,其余分布于不同布线层上的各区间部分的端部通过过孔连接。As shown in FIGS. 15 and 16 , the moving ruler 3 includes a moving ruler coil base 31 and a moving ruler sensing unit printed on the moving ruler coil base 31 . The moving ruler sensing unit is composed of a first double sinusoidal coil line array 32 . The first double sine coil array 32 is a plane coil, which is distributed on the two wiring layers (ie, the first and second wiring layers) of the moving scale coil base 31; the first double sine coil array 32 starts from The first and second sine wire segments with the same starting position, amplitude A (2A < L), period W, number of periods 1, and phase difference of 180° are surrounded by the first sinusoidal wire segment.
Figure BDA0002023392640000111
interval part,
Figure BDA0002023392640000112
interval portion and the second sinusoidal wire segment of the
Figure BDA0002023392640000113
The interval parts are distributed on the first wiring layer of the moving scale coil base 31, and the second sine wire segment is
Figure BDA0002023392640000114
interval part,
Figure BDA0002023392640000115
interval portion and the first sinusoidal wire segment
Figure BDA0002023392640000116
The interval parts are all distributed on the second wiring layer of the moving scale coil base 31, and the first sinusoidal wire segment is
Figure BDA0002023392640000117
At the position, lead wires on the first wiring layer and the second wiring layer are used as the signal input/output terminals of the first double sine coil array 32, and the ends of the other sections distributed on different wiring layers pass through. Via connection.

如图11、图12、图17所示,动尺安装基体4为矩形导磁体,主要用于固定动尺3,动尺安装基体4在X轴方向上的尺寸大于W且小于定尺长度,动尺安装基体4的中间开设有直槽口41,该直槽口41在Y轴方向上的尺寸大于定尺厚度与两块动尺厚度之和、在Z轴方向上的尺寸大于定尺传感单元在Z轴方向上的尺寸,动尺安装基体4关于直槽口41对称,动尺安装基体4的顶部开设有L形缺口42,两块动尺3对称安装在直槽口41的两侧,两块动尺3上的第一双正弦形线圈线阵32的信号输入/输出接线端裸露在动尺安装基体4之外,两个第一双正弦形线圈线阵32通过信号输入/输出接线端接线串联,定尺1插入直槽口41内,使第一双正弦形线圈线阵32与第一线圈线阵121和第二线圈线阵122正对耦合。As shown in Figure 11, Figure 12, Figure 17, the moving ruler mounting base 4 is a rectangular magnetic conductor, which is mainly used to fix the moving ruler 3. The size of the moving ruler mounting base 4 in the X-axis direction is greater than W and less than the fixed length. The middle of the moving ruler mounting base 4 is provided with a straight slot 41, the size of the straight slot 41 in the Y-axis direction is greater than the sum of the thickness of the fixed-length and the thickness of the two moving rulers, and the size in the Z-axis direction is larger than the size of the fixed-length transmission. The size of the sensing unit in the Z-axis direction, the moving ruler mounting base 4 is symmetrical about the straight slot 41, the top of the moving ruler mounting base 4 is provided with an L-shaped notch 42, and the two moving rulers 3 are symmetrically installed on the two sides of the straight slot 41. On the side, the signal input/output terminals of the first double sine coil array 32 on the two moving rulers 3 are exposed outside the moving ruler mounting base 4, and the two first double sine coil arrays 32 pass the signal input/output terminals. The output terminals are wired in series, and the fixed length 1 is inserted into the straight slot 41 , so that the first double-sine coil array 32 is coupled to the first coil array 121 and the second coil array 122 in opposite direction.

将第一线圈线阵121和第二线圈线阵122作为励磁线圈,将第一双正弦形线圈线阵32作为感应线圈,在第一线圈线阵121和第二线圈线阵122中分别通入幅值为Im的电流i121=Imsin(ωt)和i122=Imcos(ωt),则第一线圈线阵121和第二线圈线阵122与第一双正弦形线圈线阵32通过磁场产生耦合。由于第一线圈线阵121和第二线圈线阵122产生的磁场在定尺1上周期分布,所以当动尺3相对于定尺1在X轴方向上发生相对运动时,第一线圈线阵121和第二线圈线阵122与第一双正弦形线圈线阵32之间的磁场耦合发生周期性变化。The first coil array 121 and the second coil array 122 are used as excitation coils, and the first double-sine coil array 32 is used as an induction coil, which is respectively connected to the first coil array 121 and the second coil array 122. The current i 121 =I m sin(ωt) and i 122 =I m cos(ωt) with the amplitude of Im , then the first coil array 121 and the second coil array 122 and the first double sinusoidal coil array 32 is coupled by a magnetic field. Since the magnetic fields generated by the first coil line array 121 and the second coil line array 122 are distributed periodically on the fixed length 1, when the moving ruler 3 moves relative to the fixed length 1 in the X-axis direction, the first coil line array The magnetic field coupling between 121 and the second coil array 122 and the first double sinusoidal coil array 32 changes periodically.

设计第一双正弦形线圈线阵32为正弦形状,目的在于让第一双正弦形线圈线阵32中磁通量的变化呈正弦规律变化,如式(8)和(9)所示:The first double-sine coil array 32 is designed to be sinusoidal, and the purpose is to make the change of the magnetic flux in the first double-sine coil array 32 change in a sinusoidal pattern, as shown in equations (8) and (9):

Figure BDA0002023392640000121
Figure BDA0002023392640000121

Figure BDA0002023392640000122
Figure BDA0002023392640000122

其中,ω表示电流频率,

Figure BDA0002023392640000123
表示在第一线圈线阵121作用下,第一双正弦形线圈线阵32产生的磁通变化,
Figure BDA0002023392640000124
表示在第二线圈线阵122作用下,第一双正弦形线圈线阵32产生的磁通变化,
Figure BDA0002023392640000125
表示磁通量的幅值,x表示被测直线位移(即动尺3相对于定尺1在X轴方向上的位移)。where ω is the current frequency,
Figure BDA0002023392640000123
represents the change of the magnetic flux generated by the first double sinusoidal coil array 32 under the action of the first coil array 121,
Figure BDA0002023392640000124
represents the change of the magnetic flux generated by the first double sinusoidal coil array 32 under the action of the second coil array 122,
Figure BDA0002023392640000125
Represents the magnitude of the magnetic flux, and x represents the measured linear displacement (that is, the displacement of the moving ruler 3 relative to the fixed ruler 1 in the X-axis direction).

由于第一线圈线阵121和第二线圈线阵122产生的磁场在第一双正弦形线圈线阵32中叠加,所以根据法拉第电磁感应定律,第一双正弦形线圈线阵32输出幅值恒定、相位发生周期性变化的正弦感应信号,如式(10)所示:Since the magnetic fields generated by the first coil array 121 and the second coil array 122 are superimposed in the first double sine coil array 32, according to Faraday's law of electromagnetic induction, the output amplitude of the first double sine coil array 32 is constant. , sinusoidal induction signal whose phase changes periodically, as shown in formula (10):

Figure BDA0002023392640000126
Figure BDA0002023392640000126

将式(10)进行鉴相处理,得到其相位

Figure BDA0002023392640000127
然后经过换算得到动尺3相对于定尺1的在X轴方向上的位移x。Perform phase discrimination processing on formula (10) to obtain its phase
Figure BDA0002023392640000127
Then, the displacement x of the moving ruler 3 relative to the fixed ruler 1 in the X-axis direction is obtained after conversion.

实施例4:如图11至图17所示,本实施例中的具有互补耦合结构的电磁感应式直线位移传感器的结构与实施例3相同,不同之处在于:将第一双正弦形线圈线阵32作为励磁线圈,将第一线圈线阵121和第二线圈线阵122作为感应线圈,即第一双正弦形线圈线阵32中通入幅值为Im的电流i32=Imsin(ωt),第一线圈线阵121和第二线圈线阵122输出感应信号。当动尺3相对于定尺1在X轴方向上发生相对运动时,第一线圈线阵121和第二线圈线阵122与第一双正弦形线圈线阵32之间的磁场耦合发生周期性变化。Embodiment 4: As shown in FIG. 11 to FIG. 17 , the structure of the electromagnetic induction linear displacement sensor with complementary coupling structure in this embodiment is the same as that of Embodiment 3, the difference is: the first double sinusoidal coil wire The array 32 is used as an excitation coil, and the first coil array 121 and the second coil array 122 are used as induction coils, that is, a current i 32 =I m sin is passed into the first double sinusoidal coil array 32 with an amplitude of Im (ωt), the first coil array 121 and the second coil array 122 output inductive signals. When the moving ruler 3 moves relative to the fixed ruler 1 in the X-axis direction, the magnetic field coupling between the first coil array 121 and the second coil array 122 and the first double sinusoidal coil array 32 periodically occurs Variety.

第一线圈线阵121和第二线圈线阵122中磁通量的变化如式(11)和(12)所示:The changes of the magnetic fluxes in the first coil array 121 and the second coil array 122 are shown in equations (11) and (12):

Figure BDA0002023392640000128
Figure BDA0002023392640000128

Figure BDA0002023392640000129
Figure BDA0002023392640000129

其中,

Figure BDA00020233926400001210
表示磁通量的幅值。in,
Figure BDA00020233926400001210
represents the magnitude of the magnetic flux.

根据法拉第电磁感应定律,第一线圈线阵121和第二线圈线阵122输出信号的幅值发生周期性变化,如式(13)和(14)所示:According to Faraday's law of electromagnetic induction, the amplitudes of the output signals of the first coil array 121 and the second coil array 122 change periodically, as shown in equations (13) and (14):

Figure BDA0002023392640000131
Figure BDA0002023392640000131

Figure BDA0002023392640000132
Figure BDA0002023392640000132

将式(13)和(14)表示的感应信号进行鉴幅处理,得到两路信号的幅值

Figure BDA0002023392640000133
Figure BDA0002023392640000134
将两个幅值相除,并对结果求反正切或反余切,得到
Figure BDA0002023392640000135
的值,然后经过换算得到动尺3相对于定尺1在X轴方向上的位移x。The induction signals expressed by equations (13) and (14) are subjected to amplitude discrimination processing to obtain the amplitudes of the two signals
Figure BDA0002023392640000133
and
Figure BDA0002023392640000134
Divide the two magnitudes and find the arctangent or inverse cotangent of the result to get
Figure BDA0002023392640000135
The value of , and then the displacement x of the moving ruler 3 relative to the fixed ruler 1 in the X-axis direction is obtained after conversion.

另外,针对具有互补耦合结构的非电磁感应式直线位移传感器,其包括定尺、两块动尺、定尺安装基体和动尺安装基体,定尺安装基体包括基座和限位块,基座上开设有与定尺的长度相匹配的定尺槽,定尺垂直安装在定尺槽内并通过限位块、螺丝钉限位固定,动尺安装基体的中间开设有直槽口,该直槽口的宽度大于定尺厚度与两块动尺厚度之和、深度大于定尺上的定尺传感单元高度,动尺安装基体关于直槽口对称,两块动尺对称安装在直槽口的两侧,两块动尺上的动尺传感单元串联,定尺插入直槽口内,使动尺传感单元与定尺传感单元正对耦合。In addition, for a non-electromagnetic induction linear displacement sensor with a complementary coupling structure, it includes a fixed length, two moving rulers, a fixed length installation base and a moving ruler installation base, and the fixed length installation base includes a base and a limit block, and the base There is a fixed-length groove matching the length of the fixed-length. The fixed-length is installed vertically in the fixed-length groove and fixed by limit blocks and screws. A straight slot is opened in the middle of the moving ruler installation base. The straight groove The width of the opening is greater than the sum of the thickness of the fixed length and the thickness of the two moving rulers, and the depth is greater than the height of the fixed length sensing unit on the fixed length. On both sides, the moving ruler sensing units on the two moving rulers are connected in series, and the fixed length is inserted into the straight notch, so that the moving ruler sensing unit and the fixed length sensing unit are positively coupled.

Claims (7)

1. A linear displacement sensor with complementary coupling structure comprises a fixed ruler (1) and a movable ruler (3), and is characterized in that: the scale mounting device also comprises a fixed scale mounting base body (2) and a movable scale mounting base body (4), wherein the fixed scale mounting base body (2) comprises a base (21) and a limiting block (22), a fixed scale groove matched with the fixed scale in length is formed in the base (21), the fixed scale (1) is vertically arranged in the fixed scale groove and is limited and fixed through the limiting block, a straight notch (41) is formed in the middle of the movable scale mounting base body (4), the width of the straight slot opening is larger than the sum of the thickness of the fixed ruler and the thickness of the two movable rulers, the depth of the straight slot opening is larger than the height of the fixed ruler sensing units on the fixed ruler, the movable ruler installation base body (4) is symmetrical about the straight slot opening, the number of the movable rulers (3) is two, the two movable rulers (3) are symmetrically installed on two sides of the straight slot opening, the movable ruler sensing units on the two movable rulers (3) are connected in series, and the fixed ruler (1) is inserted into the straight slot opening (41), so that the movable ruler sensing units are just coupled with the fixed ruler sensing units;
the scale (1) comprises a scale coil base body (11) and scale sensing units printed on the scale coil base body, wherein the scale sensing units have a distribution period of W and a distribution period of W
Figure FDA0002974033130000011
The first coil linear array (121) and the second coil linear array (122) are formed, the initial position of the first coil linear array (121) along the measuring direction is staggered with the initial position of the second coil linear array (122) along the measuring direction
Figure FDA0002974033130000012
The movable ruler (3) comprises a movable ruler coil base body (31) and movable ruler sensing units printed on the movable ruler coil base body, wherein the movable ruler sensing units have a distribution period of W and a distribution period of W
Figure FDA0002974033130000013
A first double sinusoidal coil linear array (32); wherein m is1N is an even number, n is not less than 4, and m is not less than 21<n;
The first coil linear array (121) and the second coil linear array (122) are composed of 4n straight wires with the length of L and connecting wires for connecting the straight wires, wherein 2n +2 straight wires are distributed on the fixed-length coil substrate (11) along the measuring directionOn the first wiring layer, the other 2n-2 straight wires are distributed on a second wiring layer of the fixed-length coil base body (11) along the measuring direction and are symmetrical to the 2n-2 straight wires distributed in the middle of the first wiring layer; the distance between two adjacent straight wires on the same wiring layer along the measuring direction is
Figure FDA0002974033130000014
The 2i +1 th straight wire on the first wiring layer is connected with the 2i +1 th straight wire on the second wiring layer through a connecting wire and a via hole, the 2i +1 th straight wire on the second wiring layer is connected with the 2i +5 th straight wire on the first wiring layer through a connecting wire and a via hole, the 2n-1 th straight wire on the first wiring layer is connected with the 2n +1 th straight wire on the first wiring layer through a connecting wire and a via hole to form a first coil linear array (121), and the unconnected end leads of the 1 st straight wire and the 3 rd straight wire on the first wiring layer are used as signal input/output terminals of the first coil linear array (121); the 2i +2 straight wires on the first wiring layer are connected with the 2i +2 straight wires on the second wiring layer through connecting wires and via holes, the 2i +2 straight wires on the second wiring layer are connected with the 2i +6 straight wires on the first wiring layer through connecting wires and via holes, the 2n straight wires on the first wiring layer are connected with the 2n +2 straight wires on the first wiring layer through connecting wires and via holes to form a second coil linear array (122), and the unconnected end leads of the 2 nd straight wires and the 4 th straight wires on the first wiring layer are used as signal input/output terminals of the second coil linear array (122); wherein i is all integers from 0 to n-2 in sequence.
2. The linear displacement sensor with complementary coupling structure of claim 1, wherein: the first double-sine-shaped coil linear array (32) has the same starting position, amplitude of A, period of W and the number of periods of W
Figure FDA0002974033130000021
The first and the second sinusoidal wire sections with 180 degrees phase difference enclose the first sinusoidal wire section
Figure FDA0002974033130000022
The interval part,
Figure FDA0002974033130000023
Of sections and of second sinusoidal conductor segments
Figure FDA0002974033130000024
The interval parts are distributed on the first wiring layer of the moving ruler coil base body, and the second sinusoidal wire segments
Figure FDA0002974033130000025
The interval part,
Figure FDA0002974033130000026
Of sections and first sinusoidal conductor segments
Figure FDA0002974033130000027
The interval parts are all distributed on a second wiring layer of the movable scale coil substrate, lead wires at the end parts of two adjacent interval parts distributed on different wiring layers are used as signal input/output terminals of a first double-sine-shaped coil linear array (32), and the end parts of all the interval parts distributed on different wiring layers are connected through via holes; wherein j is 0 to
Figure FDA0002974033130000028
All of the integers of (1).
3. The linear displacement sensor with complementary coupling structure of claim 2, wherein: an L-shaped gap (42) is formed in the top of the movable scale mounting base body (4), and a signal input/output wiring terminal of the first double-sine-shaped coil linear array (32) is exposed out of the movable scale mounting base body (4) through the L-shaped gap.
4. The linear displacement sensor with complementary coupling structure of any one of claims 1 to 3, wherein:
the first coil linear array (121) and the second coil linear array (122) are excitation coils, the first double-sine-shaped coil linear array (32) is an induction coil, two orthogonal alternating excitation signals are respectively introduced into the first coil linear array (121) and the second coil linear array (122), when the movable scale (3) and the fixed scale (1) move relatively along the measuring direction, the first double-sine-shaped coil linear array (32) outputs an induction signal with constant amplitude and periodic change of phase, phase discrimination processing is carried out on the induction signal, and linear displacement of the movable scale relative to the fixed scale is obtained after conversion;
or the first double-sine-shaped coil linear array (32) is an excitation coil, the first coil linear array (121) and the second coil linear array (122) are induction coils, alternating excitation signals are introduced into the first double-sine-shaped coil linear array (32), when the movable scale (3) and the fixed scale (1) move relatively along the measuring direction, the first coil linear array (121) and the second coil linear array (122) respectively output a path of induction signals with constant phase and periodically changing amplitude, amplitude discrimination processing is carried out on the two paths of induction signals, and linear displacement of the movable scale relative to the fixed scale is obtained after conversion.
5. An electromagnetic induction type linear displacement sensor with a complementary coupling structure comprises a fixed scale (1) and a movable scale (3), wherein the fixed scale (1) comprises a fixed scale coil substrate (11) and a sensing unit printed on the fixed scale coil substrate, and the movable scale (3) is a metal magnetizer or a conductive metal non-magnetizer, and is characterized in that: the sensor still includes scale installation base member (2), scale installation base member (2) are including base (21) and stopper (22), set up on base (21) with the length assorted scale groove of scale, scale (1) is installed perpendicularly at the scale inslot and is spacing fixed through the stopper, movable ruler straight notch (33) have been seted up to the centre of movable ruler (3), the width in movable ruler straight notch is greater than scale thickness, the degree of depth is greater than the sensing unit height, movable ruler (3) are about movable ruler straight notch symmetry and along the length of measuring direction be
Figure FDA0002974033130000031
The fixed ruler (1) is inserted into the straight notch (33) of the movable ruler to lead the front of the movable ruler (3)The latter two parts are coupled with the sensing unit in a positive way; the sensing unit is composed of a first coil linear array (121), a second coil linear array (122) and a second double sinusoidal coil linear array (13), the distribution period of the first coil linear array and the second coil linear array (121, 122) is W, and the number of the distribution periods is W
Figure FDA0002974033130000032
The initial position of the first coil linear array (121) along the measuring direction is staggered with the initial position of the second coil linear array (122) along the measuring direction
Figure FDA0002974033130000033
The second double sinusoidal coil linear array (13) has a distribution period of
Figure FDA0002974033130000034
Number of distribution cycles is
Figure FDA0002974033130000035
The second double-sine-shaped coil linear array (13) is positioned in an area formed by the first coil linear array (121) and the second coil linear array (122), and the difference between the initial position of the second double-sine-shaped coil linear array (13) along the measuring direction and the initial position of the first coil linear array (121) along the measuring direction
Figure FDA0002974033130000036
Wherein m is2N is an even number, n is not less than 4, m2Not less than 4, k is an integer and k is not less than 0;
the first coil linear array (121) and the second coil linear array (122) are composed of 4n straight wires with the length of L and connecting wires for connecting the straight wires, wherein 2n +2 straight wires are distributed on a first wiring layer of the fixed-size coil base body (11) along the measuring direction, and the other 2n-2 straight wires are distributed on a fourth wiring layer of the fixed-size coil base body (11) along the measuring direction and are symmetrical to the 2n-2 straight wires distributed in the middle of the first wiring layer; the distance between two adjacent straight wires on the same wiring layer along the measuring direction is
Figure FDA00029740331300000310
The 2i +1 th straight wire on the first wiring layer is connected with the 2i +1 th straight wire on the fourth wiring layer through a connecting wire and a via hole, the 2i +1 th straight wire on the fourth wiring layer is connected with the 2i +5 th straight wire on the first wiring layer through a connecting wire and a via hole, the 2n-1 th straight wire on the first wiring layer is connected with the 2n +1 th straight wire on the first wiring layer through a connecting wire and a via hole to form a first coil linear array (121), and the unconnected end leads of the 1 st and 3 rd straight wires on the first wiring layer are used as signal input/output terminals of the first coil linear array (121); the 2i +2 straight wires on the first wiring layer are connected with the 2i +2 straight wires on the fourth wiring layer through connecting wires and via holes, the 2i +2 straight wires on the fourth wiring layer are connected with the 2i +6 straight wires on the first wiring layer through connecting wires and via holes, the 2n straight wires on the first wiring layer are connected with the 2n +2 straight wires on the first wiring layer through connecting wires and via holes to form a second coil linear array (122), and the unconnected end leads of the 2 nd straight wires and the 4 th straight wires on the first wiring layer are used as signal input/output terminals of the second coil linear array (122); wherein i is all integers from 0 to n-2 in sequence.
6. An electromagnetic induction type linear displacement sensor having a complementary coupling structure according to claim 5, characterized in that: the second double-sine-shaped coil linear array (13) has the same starting position, amplitude of A and period of
Figure FDA0002974033130000037
The number of cycles is
Figure FDA0002974033130000038
A third sinusoidal wire section and a fourth sinusoidal wire section which have 180-degree phase difference
Figure FDA0002974033130000039
The interval part,
Figure FDA0002974033130000041
Of sections and fourth sinusoidal conductor segments
Figure FDA0002974033130000042
The interval parts are all distributed on the second wiring layer of the fixed-length coil base body and of the fourth sinusoidal wire section
Figure FDA0002974033130000043
The interval part,
Figure FDA0002974033130000044
Of sections and third sinusoidal conductor segments
Figure FDA0002974033130000045
The interval parts are all distributed on a third wiring layer of the fixed-length coil substrate, lead wires at the end parts of certain two adjacent interval parts distributed on different wiring layers are used as signal input/output terminals of a second double-sine-shaped coil linear array (13), and the end parts of all the interval parts distributed on different wiring layers are connected through via holes; wherein j is 0 to
Figure FDA0002974033130000046
All of the integers of (1).
7. An electromagnetic induction type linear displacement sensor having a complementary coupling structure according to claim 5 or 6, characterized in that:
the first coil linear array (121) and the second coil linear array (122) are excitation coils, the second double-sine-shaped coil linear array (13) is an induction coil, two orthogonal alternating excitation signals are respectively introduced into the first coil linear array (121) and the second coil linear array (122), when the movable scale (3) and the fixed scale (1) move relatively along the measuring direction, the second double-sine-shaped coil linear array (13) outputs induction signals with constant amplitude and periodic phase change, phase discrimination processing is carried out on the induction signals, and linear displacement of the movable scale relative to the fixed scale is obtained after conversion;
or the second double sinusoidal coil linear array (13) is an excitation coil, the first coil linear array (121) and the second coil linear array (122) are induction coils, an alternating excitation signal is introduced into the second double sinusoidal coil linear array (13), when the movable scale (3) and the fixed scale (1) move relatively along the measuring direction, the first coil linear array (121) and the second coil linear array (122) respectively output a path of induction signal with a constant phase and a periodically changing amplitude, amplitude discrimination processing is carried out on the two paths of induction signals, and linear displacement of the movable scale relative to the fixed scale is obtained after conversion.
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