CN108286932B - A kind of high-precision two-part differential transformer displacement sensor - Google Patents
A kind of high-precision two-part differential transformer displacement sensor Download PDFInfo
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- CN108286932B CN108286932B CN201810166257.2A CN201810166257A CN108286932B CN 108286932 B CN108286932 B CN 108286932B CN 201810166257 A CN201810166257 A CN 201810166257A CN 108286932 B CN108286932 B CN 108286932B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B7/00—Measuring arrangements characterised by the use of electric or magnetic techniques
- G01B7/02—Measuring arrangements characterised by the use of electric or magnetic techniques for measuring length, width or thickness
Abstract
The invention discloses a kind of high-precision two-part differential transformer displacement sensors, including iron core, skeleton, the primary coil being wound on skeleton, rectangle secondary coil and shell, secondary coil is divided into triangular secondary coil I and triangular secondary coil II by the diagonal line of rectangle secondary coil, and triangle step cross winding is respectively adopted and carries out coiling to get coil finished product；The present invention analyzes and researches its architectural characteristic, improves the precision of both ends formula differential transformer displacement sensor, and stroke increases, while compact-sized, can be satisfied with the demand of the industries such as equipment manufacturing, military equipment, petroleum machinery.
Description
[technical field]
The invention belongs to displacement sensors and precise electronic component field, and in particular to a kind of high-precision two-part is differential
Transformer displacement sensor.
[background technique]
Differential transformer linear movement pick-up has the characteristics that the service life is long, precision is high, mechanical strength is good, thermal drift is low, extensively
The general measurement for being applied to carry out straight-line displacement in the servoactuation systems of industries such as equipment production, military equipment, petroleum machinery.It is right
For differential displacement sensor, structure size, linear measurement range are the key factors of type selecting.Because of the demand of miniaturization,
Displacement sensor compact-sized, that precision is high and stroke is big is increasingly favored.If want in certain structure size obtain compared with
Big linear measurement range, key are the design of coil.According to the difference of LVDT sensor enamel wire coil winding method, position
Displacement sensor can be divided into three kinds of two-part, three-stage and multisection type structures.Wherein three-stage displacement sensor linear measurement range
It is smaller, about the 10%~25% of measuring staff, but because its symmetry and winding method are simple, the displacement for being usually used in small-range ratio is surveyed
Amount；Two-part displacement sensor, structural representation are as shown in Figure 1.Primary coil is wrapped over entire backbone length, therefore is produced from intermediate position
Raw even variation length of magnetic field increases, and two secondary coil coiling lengths also increase, and accounts for the 1/2 of backbone winding linear window length,
Therefore secondary coil linear response range also increases, but the linearity is poor, substantially in 10%FS.
[summary of the invention]
The object of the present invention is to provide a kind of high-precision two-part differential transformer displacement sensors, improve displacement sensing
The precision of device, increases stroke, improves the linearity.
The invention adopts the following technical scheme: a kind of high-precision two-part differential transformer displacement sensor, including iron core,
Skeleton, the primary coil being wound on skeleton, rectangle secondary coil and shell, the winding method of rectangle secondary coil specifically:
Secondary coil is divided into triangular secondary coil I and triangular secondary line by the diagonal line of rectangle secondary coil
Circle II is that starting point respectively will be secondary along the longitudinal direction of triangular secondary coil I and triangular secondary coil II, using broadside respectively
It is q sections that grade coil I and secondary coil II, which divide, and q is the integer not equal to 0；
Using displacement sensor central point as coordinate origin, the outwardly directed direction of iron core is the direction+x, and iron core withdraws direction
For the direction-x；
By preceding q/2 sections of secondary coil I, from the direction+x, sequentially coiling cuts enamel-cover wire tag fore and aft line to coordinate origin
Head；
By preceding q/2 sections of secondary coil II, from the direction-x, sequentially coiling is to coordinate origin, and by the rear q/2 of secondary coil II
From the direction+x, sequentially coiling cuts enamel-cover wire tag fore and aft line head to coordinate origin to section；
By rear q/2 sections of secondary coil I, from the direction-x, sequentially coiling cuts enamel-cover wire tag fore and aft line to coordinate origin
Head；By preceding q/2 section of the buttock line head short circuit of rear q/2 sections first the end of a thread of secondary coil I and secondary coil I to get around making
Rectangle secondary coil.
Further, the total number of turns of secondary coil I and each section the number of turns meet the following conditions:
Pass through formulaGo out total number of turns to coiling secondary coil I, pass throughThe number of turns to each section in coiling secondary coil I is calculated,
In, Q is the number of turns of secondary coil I in every square millimeter, and S is the moving distance of iron core；N is the length of primary coil after coiling
Half.
Further, the total number of turns of secondary coil II and each section the number of turns meet the following conditions:
Pass through formulaThe total number of turns to coiling secondary coil II is calculated, is passed throughThe number of turns to each section in coiling secondary coil II is calculated
W22-k, wherein Q is the number of turns of secondary coil II in every square millimeter, and S is the moving distance of iron core.
Further, the number of turns of primary coil meets condition:
According to displacement sensor to be made, magnetic flux path cdef is established, wherein c, d, e, f are respectively displacement sensor measurement range
Interior any different point, secondary coil middle line wherein pass through formula
Obtain the number of turns N of primary coil in magnetic flux path cdef1, wherein μ0Indicate the magnetic conductivity in air, By1For in cd
The total magnetic flux density of section, By3For in ef sections of total magnetic flux densities, I is the electric current in primary coil, lyFor cd sections to ef sections of position
Set variable quantity；
Due to N1=W1L/2n then has formulaAnd primary coil total number of turns is calculated
W1, wherein BmFor iron core endpoint magnetic flux density, 2n is the length of primary coil after coiling, and 2l is core length, r1Outside for iron core
Radius, R are magnetic conductive shell inside radius.
The beneficial effects of the present invention are: design of the present invention by analysis and research two-part differential transformer displacement sensor
Principle and its architectural characteristic derive the transformational relation of displacement and voltage, make original differential transformation of both ends formula by the design
The precision of device displacement sensor improves, and stroke increases, while compact-sized, improves the anti-vibration, impact, acceleration of sensor
Ability, the demand of the industries such as equipment manufacturing, military equipment, petroleum machinery can be satisfied with.
[Detailed description of the invention]
Fig. 1 is the structural schematic diagram of two-part differential transformer displacement sensor in the prior art；
Fig. 2 is the equivalent circuit diagram of two-part differential transformer displacement sensor of the present invention；
Fig. 3 is the magnetic flux density schematic diagram of two-part differential transformer displacement sensor of the present invention；
Fig. 4 is the magnetic flux path schematic diagram of two-part differential transformer displacement sensor of the present invention；
Fig. 5 is the coiling schematic diagram of two-part differential transformer displacement sensor of the present invention；
Fig. 6 is the secondary coil coiling schematic diagram of two-part differential transformer displacement sensor of the present invention.
[specific embodiment]
The following describes the present invention in detail with reference to the accompanying drawings and specific embodiments.
The invention discloses a kind of high-precision two-part differential transformer displacement sensors, including iron core, skeleton, primary line
Enclose P, secondary coil I, secondary coil II and shell, secondary coil I and the series connection of II direction of secondary coil, stroke differential output.
According to displacement sensor parameter to be made, core length 2l, the iron core outer radius r of displacement sensor are determined1, outside magnetic conduction
Shell inside radius R.
According to displacement sensor to be made, as shown in Figure 2 and Figure 3, the magnetism of high magnetic permeability is utilized in the outside of cell winding
A magnetic shielding cover is made in material, and the iron core of intermediary movements is made of high-permeability material.Effect of end surface is omitted, flux path is established
Diameter cdef, wherein c, d, e, f are respectively any different point in displacement sensor measurement range, and secondary coil is Triangle-Profile, In
Magnetic flux density in the product of iron core circular section at any point yWherein, BmFor iron core endpoint flux density, r indicates iron core any point
To the vertical range of co-ordinate zero point (the as central point of displacement sensor).By circuital law, (Maxwell is by Ampere ring road
Theorem is extended to circuital law, is one of maxwell equation group fundamental equation of electromagnetic field integrated form.It is max
It is assumed that its correctness is consistent by all obtained conclusions of maxwell equation group with experimental fact is tested made by Wei
Card.Its content are as follows: total magnetic pressure on any one closed loop be equal to passed through in face that this closed circuit is surrounded it is complete
The algebraical sum of portion's electric current):
Then have:
Wherein, Hy1For dc sections of magnetic induction, Hy2For ed sections of magnetic induction, Hy3For ef sections of magnetic induction, Hy4For cf
The magnetic induction of section；I is the electric current in primary coil, N1For the number of turns of primary coil in magnetic flux path cdef, due to flux path
Cd, ef sections are among magnetic material in diameter, and the magnetic resistance of permeability magnetic material is negligible, are obtained:
Formula is obtained after reduction
Wherein, μ0Indicate the magnetic conductivity in air, By1For in cd sections of total magnetic flux densities, By3It is close in ed sections of total magnetic fluxs
Degree, lyFor cd sections to ef sections of location variation, R is magnetic conductive shell inside radius.
If Bl1For magnetic induction of the magnetic flux path on cd sections of upper core surfaces, Bl3It is magnetic flux path in ef sections of upper cores
Magnetic induction on surface, thenBy1It indicates in cd sections of total magnetic flux densities, By3It indicates
In ef sections of total magnetic flux densities, rc indicates any distance of the core center position to side, y1Indicate cd sections of distances, y2Indicate ed sections
Distance, y3Indicate ef sections of distances, y4Indicate cf sections of distances, y1=y3, y2=y4, distances of ef sections of the l3 expression to reference axis y, l1 table
Show the cd sections of distances for arriving reference axis y, then can obtain:
As shown in figure 4, for the magnetic circuit that distance is l, Bl1=Bm, Bl2=0, Bl2It is magnetic flux path in cd Duan Shangtie
Magnetic induction on wicking surface, BmFor iron core endpoint magnetic flux density, haveDue to N1=W1L/2n,
It obtains
According to formulaPrimary coil total number of turns W is calculated1, wherein 2n is primary coil
Length.
As shown in figure 5, to make secondary coil perceive the magnetic field of a constant homogeneous, in secondary framework baffle effective distance
High temperature enameled wire is chosen in (2n), is layered coiling total number of turns W1Primary coil and cement, do not allow superimposing thread, guarantee primary coil
Surrounding generates a uniform magnetic field.
If primary coil selects the high temperature enameled wire of φ 0.12, four layers of coiling, every layer of 550 circle use golden finger after coiling is complete
Adhesive tape is cemented, and prevents from loosening in subsequent winding process.
Secondary coil is divided into secondary coil I and secondary coil II, and selects high temperature enameled wire respectively, using triangle
Step cross winding carries out coiling (can increase linear and range), is successively potted after coiling, dipping lacquer obtains two sections of high-precision
Formula differential transformer displacement sensor.
Triangle step cross winding specifically:
Triangular secondary coil I is divided by secondary coil to straight line where angular vertex by two of rectangle secondary coil
With triangular secondary coil II.It is along the longitudinal direction of triangular secondary coil I and triangular secondary coil II, with broadside respectively
It is q sections that secondary coil I and secondary coil II are respectively divided in starting point, and q is the integer not equal to 0.
Pass through formulaThe total number of turns to coiling secondary coil I is calculated, is passed throughThe number of turns W to each section of coiling secondary coil I is calculated21-k,
That is: first segment waits for that the number of turns of coiling secondary coil I isSecond segment waits for coiling secondary wire
Circle I the number of turns beAnd so on, the q sections of circles to coiling secondary coil I are obtained respectively
Number.Wherein, Q is the number of turns of secondary coil I in every square millimeter, and S is the moving distance of iron core.
Pass through formulaThe total number of turns to coiling secondary coil II is calculated, is passed throughThe number of turns W to II each section of coiling secondary coil is calculated22-k,
Wherein, Q is the number of turns of secondary coil II in every square millimeter.
For the equivalent magnetic flux linkage chain number in the direction-x of secondary coil I are as follows:
Wherein, b indicates that the triangle base of secondary coil, χ indicate the distance in the direction-x of secondary coil I.
For the equivalent magnetic flux linkage chain number in the direction-x of secondary coil II are as follows:
The equivalent magnetic flux linkage chain number of secondary coil II are as follows:
Acquire the mutual inductance potential virtual value of secondary coil I generation are as follows:
Wherein, ω indicates the electrical angle of key player on a team's wave, M21Indicate that the mutual inductance of primary coil and secondary coil, f indicate to swash
Encourage the frequency of power supply, κ1A constant is represented,
Similarly, it can obtainκ2Represent a constant, κ1=κ2.Then have,
U0=U21-U22=2 κ S, it can be seen that the output voltage U of two-part differential transformer sensor0Displacement S with iron core is in line
Sexual intercourse, its error can be reduced and obtain preferably in it is transmitted and is controlled by so that sensor is obtained higher precision in this way
Using.
Using displacement sensor central point as coordinate origin, the outwardly directed direction of iron core is the direction+x, and iron core withdraws direction
For the direction-x.
Although greatly increasing the range of linearity with triangle winding, using enameled wire coiling secondary coil, some are tired really
Difficulty, in order to make this winding method have engineering, secondary coil winding method can be refined further, intersect coiling using ladder,
This winding reduces the coiling number of plies, the specific steps are as follows:
By preceding q/2 sections in secondary coil I, from the direction+x, sequentially coiling cuts enameled wire and marks head and the tail to coordinate origin
The end of a thread.
By preceding q/2 sections in q sections of secondary coils II, from the direction-x, sequentially coiling, and will be in secondary coil II to coordinate origin
Sequentially coiling cuts enamel-cover wire tag fore and aft line head to coordinate origin in the rear q/2 sections of directions+x.
By rear q/2 sections in secondary coil I, from the direction-x, sequentially coiling cuts enamel-cover wire tag fore and aft line to coordinate origin
Head；Preceding q/2 sections of buttock line head in rear q/2 sections first the end of a thread and secondary coil I in secondary coil I is shorted and obtains coiling
Good rectangle secondary coil.
As shown in fig. 6, secondary coil I is divided into 20 sections, and the direction+x and each 10 sections of the direction-x, every segment length 5.6mm；It selects
The high temperature enameled wire of φ 0.07, presses that arrow 1 is flat around two layers, and every layer is 225 from the center of primary coil to the direction+x of sensor
Circle is cemented with golden finger adhesive tape, prevents from loosening in subsequent winding process.Continue the secondary wire that coiling remains in the direction+x
Circle, it is flat around one layer by arrow 2,3,4, every section be respectively 6.5 circles, 14.5 circles, 22.5 circles, 30.5 circles, 38.5 circles, 51.5 circles,
59.5 circles, 67.5 circles, 75.5 circles, 83.5 circles；Enameled wire is cut herein, and head and the tail the end of a thread of coil has been marked after complete.
The high temperature enameled wire coiling secondary coil II for selecting φ 0.07, from the center of primary coil to the side-x of sensor
To flat around two layers by arrow 8, every layer is 225 circles, is cemented with golden finger adhesive tape, prevents from loosening in subsequent winding process；
Do not have to cut short enameled wire herein, continues the secondary coil that coiling remains in the direction-x, it is flat around one layer, every section by arrow 9,10,11
Respectively 6.5 circles, 14.5 circles, 22.5 circles, 30.5 circles, 38.5 circles, 51.5 circles, 59.5 circles, 67.5 circles, 75.5 circles, 83.5 circles；With
Golden finger adhesive tape is cemented, and prevents from loosening in subsequent winding process.Do not have to cut short enameled wire herein, continues coiling and remain in
The secondary coil in the direction+x, it is flat around one layer by arrow 12,13,14, every section of 83.5 circle of difference, 75.5 circles, 67.5 circles, 59.5 circles,
51.5 circles, 38.5 circles, 30.5 circles, 22.5 circles, 14.5 circles, 6.5 circles, golden finger adhesive tape are cemented, and are prevented in subsequent coiling
It is loosened in journey, cuts enameled wire after coiling is complete, marked the buttock line head of coil.
Continue coiling secondary coil I, continues the secondary coil that coiling remains in the direction-x, it is flat around one layer by arrow 5,6,7,
Every section of 83.5 circle of difference, 75.5 circles, 67.5 circles, 59.5 circles, 51.5 circles, 38.5 circles, 30.5 circles, 22.5 circles, 14.5 circles, 6.5 circles,
Head and the tail the end of a thread that coil has been marked after complete, is cemented with golden finger adhesive tape, prevents from loosening in subsequent winding process, arrow
The buttock line of 5 first lines and arrow 4 is shorted.
It will be successively potted around the displacement sensor for making coil, dipping lacquer obtains high-precision two-part differential transformer position
Displacement sensor.
Disclosure sets forth the evolution process of two secondary coils, and the distributed architecture of triangle is changed to by distributed rectangular structure,
Bucking coil is increased, which has the characteristics that wide range than high-precision, but two secondary coils hold in winding process
Easily broken string or interlayer collapse so that reliability reduce；It after ladder cross winding, solves the problems, such as gap collapsing, improves
The engineering productivity of product, reduces total null voltage, enhances the consistency, stability, reliability of sensor.
Claims (4)
1. a kind of high-precision two-part differential transformer displacement sensor, which is characterized in that including iron core, skeleton, be wound on bone
Primary coil, rectangle secondary coil and shell on frame, the winding method of the rectangle secondary coil specifically:
Secondary coil is divided into triangular secondary coil I and triangular secondary line by the diagonal line of the rectangle secondary coil
Circle II is that starting point respectively will be secondary along the longitudinal direction of triangular secondary coil I and triangular secondary coil II, using broadside respectively
It is q sections that grade coil I and secondary coil II, which divide, and q is the integer not equal to 0；
Using displacement sensor central point as coordinate origin, the outwardly directed direction of iron core is the direction+x, and it is-x that iron core, which withdraws direction,
Direction；
By preceding q/2 sections of secondary coil I, from the direction+x, sequentially coiling cuts enamel-cover wire tag fore and aft line head to coordinate origin；
By preceding q/2 sections of secondary coil II from the direction-x sequentially coiling to coordinate origin, and by rear q/2 sections of secondary coil II from
Sequentially coiling cuts enamel-cover wire tag fore and aft line head to coordinate origin in the direction+x；
By rear q/2 sections of secondary coil I, from the direction-x, sequentially coiling cuts enamel-cover wire tag fore and aft line head to coordinate origin；It will
Rear q/2 sections first the end of a thread of secondary coil I and preceding q/2 sections of the buttock line head of secondary coil I are shorted to get around the rectangle made
Grade coil.
2. a kind of high-precision two-part differential transformer displacement sensor according to claim 1, which is characterized in that described
The total number of turns of secondary coil I and each section the number of turns meet the following conditions:
Pass through formulaGo out total number of turns to coiling secondary coil I, pass throughThe number of turns to each section in coiling secondary coil I is calculated,
In, Q is the number of turns of secondary coil I in every square millimeter, and S is the moving distance of iron core；N is the length of primary coil after coiling
Half.
3. a kind of high-precision two-part differential transformer displacement sensor according to claim 1 or 2, which is characterized in that
The total number of turns of the secondary coil II and each section the number of turns meet the following conditions:
Pass through formulaThe total number of turns to coiling secondary coil II is calculated, is passed throughThe number of turns to each section in coiling secondary coil II is calculated
W22-k, wherein Q is the number of turns of secondary coil II in every square millimeter, and S is the moving distance of iron core.
4. a kind of high-precision two-part differential transformer displacement sensor according to claim 3, which is characterized in that described
The number of turns of primary coil meets the following conditions:
According to displacement sensor to be made, magnetic flux path cdef is established, wherein c, d, e, f are respectively to appoint in displacement sensor measurement range
It anticipates different points, secondary coil middle line wherein passes through formula
Obtain the number of turns N of primary coil in magnetic flux path cdef1, wherein μ0Indicate the magnetic conductivity in air, By1It is total at cd sections
Magnetic flux density, By3For in ef sections of total magnetic flux densities, I is the electric current in primary coil, lyBecome for cd sections to ef sections of positions
Change amount；
Due to N1=W1L/2n then has formulaAnd primary coil total number of turns W is calculated1,
In, BmFor iron core endpoint magnetic flux density, 2n is the length of primary coil after coiling, and 2l is core length, r1For iron core outer radius, R
For magnetic conductive shell inside radius.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109916288B (en) * | 2019-04-10 | 2024-03-19 | 西安西灵传感技术有限公司 | Differential transformer type linear displacement sensor |
| US10955263B2 (en) * | 2019-04-18 | 2021-03-23 | Honeywell International Inc. | Apparatuses, systems, and methods for improved sensor devices |
| CN112197793B (en) * | 2020-09-30 | 2022-03-22 | 四川新川航空仪器有限责任公司 | LVDT sensor |
| CN113670181A (en) * | 2021-07-26 | 2021-11-19 | 西人马联合测控（泉州）科技有限公司 | Linear displacement sensor |
| CN114427824B (en) * | 2021-12-16 | 2023-07-25 | 洛阳轴承研究所有限公司 | Magnetic bearing rotor axial displacement measurement method |
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| CN85101004A (en) * | 1985-04-01 | 1986-08-27 | 中国科学院武汉岩体土力学研究所 | The high temperature resistant differential transformer displacement sensor of anti-steam |
| JPH0324425A (en) * | 1989-06-20 | 1991-02-01 | Murata Mfg Co Ltd | Displacement-amount measuring apparatus |
| CN2204994Y (en) * | 1993-10-14 | 1995-08-09 | 杭州电子工业学院 | Differential position sensor |
| CN104465044A (en) * | 2013-09-17 | 2015-03-25 | 精量电子（深圳）有限公司 | Linear variable differential transformer and winding method thereof |
| CN104748661A (en) * | 2015-04-17 | 2015-07-01 | 兰州理工大学 | Differential transformer type displacement sensor |
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2018
- 2018-02-28 CN CN201810166257.2A patent/CN108286932B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN85101004A (en) * | 1985-04-01 | 1986-08-27 | 中国科学院武汉岩体土力学研究所 | The high temperature resistant differential transformer displacement sensor of anti-steam |
| JPH0324425A (en) * | 1989-06-20 | 1991-02-01 | Murata Mfg Co Ltd | Displacement-amount measuring apparatus |
| CN2204994Y (en) * | 1993-10-14 | 1995-08-09 | 杭州电子工业学院 | Differential position sensor |
| CN104465044A (en) * | 2013-09-17 | 2015-03-25 | 精量电子（深圳）有限公司 | Linear variable differential transformer and winding method thereof |
| CN104748661A (en) * | 2015-04-17 | 2015-07-01 | 兰州理工大学 | Differential transformer type displacement sensor |
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