CN105742003B - Winding technologe between a kind of LVDT secondary coil designs method and application this method - Google Patents
Winding technologe between a kind of LVDT secondary coil designs method and application this method Download PDFInfo
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- CN105742003B CN105742003B CN201610260688.6A CN201610260688A CN105742003B CN 105742003 B CN105742003 B CN 105742003B CN 201610260688 A CN201610260688 A CN 201610260688A CN 105742003 B CN105742003 B CN 105742003B
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- 238000004804 winding Methods 0.000 title claims abstract description 85
- 238000000034 method Methods 0.000 title claims abstract description 25
- 238000013461 design Methods 0.000 title claims abstract description 23
- 230000035945 sensitivity Effects 0.000 claims abstract description 12
- 238000006073 displacement reaction Methods 0.000 claims abstract description 8
- 239000010410 layer Substances 0.000 claims description 126
- 239000011229 interlayer Substances 0.000 claims description 21
- XEEYBQQBJWHFJM-UHFFFAOYSA-N Iron Chemical group [Fe] XEEYBQQBJWHFJM-UHFFFAOYSA-N 0.000 claims description 9
- 239000000203 mixture Substances 0.000 claims description 6
- 230000008859 change Effects 0.000 claims description 4
- 229910052742 iron Inorganic materials 0.000 claims description 3
- 230000008569 process Effects 0.000 claims description 3
- 238000012545 processing Methods 0.000 claims description 3
- 238000005096 rolling process Methods 0.000 claims description 3
- 239000002356 single layer Substances 0.000 claims description 3
- 238000010586 diagram Methods 0.000 description 3
- 238000005516 engineering process Methods 0.000 description 3
- 238000009434 installation Methods 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000007812 deficiency Effects 0.000 description 1
- 230000006872 improvement Effects 0.000 description 1
- 238000005259 measurement Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
Classifications
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01F—MAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
- H01F5/00—Coils
-
- 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
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01F—MAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
- H01F41/00—Apparatus or processes specially adapted for manufacturing or assembling magnets, inductances or transformers; Apparatus or processes specially adapted for manufacturing materials characterised by their magnetic properties
- H01F41/02—Apparatus or processes specially adapted for manufacturing or assembling magnets, inductances or transformers; Apparatus or processes specially adapted for manufacturing materials characterised by their magnetic properties for manufacturing cores, coils, or magnets
- H01F41/04—Apparatus or processes specially adapted for manufacturing or assembling magnets, inductances or transformers; Apparatus or processes specially adapted for manufacturing materials characterised by their magnetic properties for manufacturing cores, coils, or magnets for manufacturing coils
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- General Physics & Mathematics (AREA)
- Coils Of Transformers For General Uses (AREA)
- Ignition Installations For Internal Combustion Engines (AREA)
Abstract
The present invention relates to winding technologe, method and step between a kind of LVDT secondary coil designs method and application this method are as follows：Step 1：Draw the density n of sensor secondary coil2It is directly proportional to displacement Z；Step 2：Draw C=2S1/a2；Step 3：During k=m 1,2k 1=2m 1, Sk=(2m 1) S1；Step 4：Draw a conclusion：The number of turn Sk of each step is in arithmetic series.The present invention can count out the LVDT of different sensitivity, the haul distance ratio of maximum 78% can be reached, 0.1%/FS LVDT precision, temperature coefficient full scale is better than 0.01%/FS/ DEG C, except general LVDT carry out variate be VA-VB with addition to linear, can also be exported with scale factor, can eliminate because Vin is unstable and caused by error, global consistency is less than 0.5%/FS.
Description
Technical field
The present invention relates to displacement transducer technology field, and in particular to a kind of LVDT secondary coil designs method and application should
Winding technologe between method.
Background technology
Existing wound LVDT is unable to reach excellent stroke and length ratio, the sensor when reaching same measurement range
Length it is long, the requirement of the industries such as Aero-Space harsh installation dimension can not be met.The maximum stroke of domestic and international enterprise product with
Length ratio is 53%；Existing wound LVDT Product Precision is typically in 0.25%/FS, for requiring higher application scenario
It can not meet；Existing wound LVDT products global consistency is less than 5%/FS.
The content of the invention
In order to solve the deficiency in the presence of prior art, the present invention proposes a kind of LVDT secondary coil designs method and should
With winding technologe between this method.
A kind of LVDT secondary coil designs method, methods described step are as follows：
Step 1：By the design theory of secondary coil, i.e., when iron core moves in coilIt is
Constant, to make V2Z is proportional to, then sets up following formula：
-Al(∫n2adZ-∫n2bDZ)=K1Z (1)；
If order：
n2a=CZ, n2b=-CZ (2)；
Then in a length of l of iron corecCorresponding area's domain integral：
Above formula is substituted into formula (2) and obtained：
K1=-2ClcA1
Then V2=K1Z；
K1For sensor sensitivity factor：
Drawn a conclusion by formula (2)：The density n of sensor secondary coil2It is directly proportional to displacement Z；
It is further comprising the steps of：
Step 2：Each group of total number of turns N of secondary coil2：
From formula (2) dimension, n2For circle/mm, Z mm, so C dimensions are circle/mm2If C=2 circles/mm2, then N2=
(l2/mm)2The number of turn, secondary coil is divided into m deciles along axis, m obtains bigger, n2Closer to ideal value, as m → ∞, from reason
N is said on2=CZ is set up for each point, but m can not possibly obtain excessive, and otherwise wire winding can not be realized, the too small errors of m
It is big to influence the linearity, if with a length of step of a mm, l2Mm long loops are segmented into m=l2/ a step, if first platform
Rank coil turn is S1Circle：
So：
C=2S1/a2(5)；
Step 3：
K-th of step number of turn be：
By k=1,2,3 ... ..., m-1 is substituted into formula (6) respectively：
During k=1,2k-1=1, Sk=S1；
During k=2,2k-1=3, Sk=3S1；
During k=3,2k-1=5, Sk=5S1；
During k=4,2k-1=7, Sk=7S1；
During k=5,2k-1=9, Sk=9S1；
During k=6,2k-1=11, Sk=11S1；
………
During k=m-1,2k-1=2m-1, Sk=(2m-1) S1；
Step 4：Draw a conclusion：
The number of turn S of i.e. each stepk：S1, 3S1, 5S1, 7S1, 9S1, 11S1……(2m-1)S1, secondary coil is by m step
Composition, each step number of turn are in arithmetic series, first term S1Tolerance d is 2S1I.e. the item number of slope is m, S1Determine that secondary voltage is big
Small, tolerance d determines level of sensitivity, and arithmetic series sum is：
Winding technologe between a kind of LVDT secondary coil design methods described in application, the spaced winding processing step are as follows：
The first step：Secondary coil is divided into m sections, is that amm, m and a can arbitrarily be set per segment length, can meet
Different LVDT needs, every section of number of turns are arithmetic series；
Second step：M item arithmetic series sums, as secondary number of total coils N2；
C=1, N2It is close around the number of turns for one layer；
C=3, N2It is close around the number of turns for three layers；
Different sensitivity LVDT design requirements can be met；
3rd step：Coefficient C is selected, determines that coil arranges.
In 3rd step, when selecting C=1, spooling step is as follows：
(1) primary close around 7 layers, every layer 735 is enclosed, spacing 0.204mm, 33#SPT enamel-covered wire, nominal diameter 0.198mm；
(2) secondary I is close around one layer of 1057.5 circle to the right since midpoint is 75mm, and spacing 0.070mm, the second layer is spaced winding
A, coiling from right to left, it is one section per 5mm, spaced winding feature is per intersegmental away from being change, and as the number of turns increases, spacing is subtracting
Small, the second layer pulls out a line, with left half of third layer spaced winding A start lines in external connection around complete to center；
(3) secondary II is also since midpoint, and close around one layer of 1057.5 circle to the left, spacing 0.07mm, the second layer is spaced winding
B, coiling from left to right, be one section per 5mm, behind midpoint, be attached directly to it is right half of around third layer coiling B, from left to right one
Until secondary II tail, terminate secondary II coiling；
(4) left one side of something of third layer, the A of coiling coiling to the left since midpoint, until secondary I tail end, secondary I coiling is terminated；
(5) left half of third layer A and right half of first layer are close around, second layer spaced winding A compositions secondary I；
(6) spaced winding A is 15 sections, and every section of 5mm is arranged by arithmetic series, first term a1=2.4, tolerance d=4.7, until the 15th
Item a15=68.2, the right is close also to be divided for 15 sections around 75mm by every section of 5mm；
(7) how to be encrypted from spaced winding with spaced winding and be connected into the key that arithmetic series is design around being connected, concrete operations are：
a15=68.2；
a16=68.2+4.7=72.9；
a16It is that spaced winding 2.4 processes the close number of turns around 5mm；
a16- 2.4=72.9-2.4=70.5 are enclosed, and the as close number of turns around 5mm is close around 75mm, common 70.5x15=1057.5
Circle；
Whole one group of secondary coil takes hop count i.e. arithmetic series item number m=30, per segment length a=5mm；
First layer is spaced winding a1、a2………a15；
It is an interlayer since 16 around adding last layer close around both sums are arithmetic series value, as follows：
16th, number of turns 2.4+70.5=72.9；
17th, number of turns 7.1+70.5=77.6；
18th, number of turns 11.8+70.5=82.3；
19th, number of turns 70.5+16.5=87；
………
30th, number of turns 68.2+70.5=138.7；
Secondary 43#SPT enamel-covered wires, nominal diameter 0.062mm, are up to 0.066mm, close to be set as 0.07mm around spacing
＞ 0.066mm.
In 3rd step, when selecting C=3, spooling step is as follows：
(1) primary coiling：33#SPT enamel-covered wires, nominal line footpath 0.198mm, close around four layers, every layer 450 is enclosed, and spacing is
0.2mm；
(2) secondary rolling thread：
A) coiling is since midpoint is at 45mm, and secondary I is close to the right, and around three layers, every layer 608 is enclosed, spacing 0.074mm, the
4 layers are close close to be around A around 405.4 circles, spacing 0.074mm, the 5th interlayer around 202.7 circles, spacing 0.074mm, layer 6
Spaced winding A pulls out a lead-out wire, with left half of 7th layer of initial in external connection；
B) secondary II is close around three layers to the left from midpoint, every layer 608 circle, spacing 0.074mm, the 4th layer to be close around, 405.4 circles,
Spacing is 0.074mm, and the 5th interlayer is around B, and then close around 202.7 circles, spacing 0.074mm, the 6th layer is spaced winding B, subsequently around
Right half of layer 7, it is close close to be around 202.7 circles, spacing around B around 405.4 circles, spacing 0.074mm, spaced winding B, the 8th interlayer
0.074mm, the 9th interlayer terminate as secondary II tail around B；
C) it is left one side of something since the 7th layer of midpoint, to the left it is close around 405.4 circle, spacing 0.074mm, spaced winding A, the 8th interlayer around
A, it is close to terminate around 202.7 circles, spacing 0.074mm, the 9th interlayer around A as secondary I tail；
D) the left half of 7th, 8,9 layer forms secondary I whole coil with the right half of 1st, 2,3,4,5,6 layer；
(3) it is 90mm around linear distance, takes hop count m=30, it is most of per a=3mm points six of segment length, per part 5, form item
Number is 30 arithmetic series；
A) mono- layer of spaced winding A：
When for a1When, the number of turns 4；
When for a2When, the number of turns 12.1；
When for a3When, the number of turns 20.2；
When for a4When, the number of turns 28.3；
When for a5When, the number of turns 36.5；
B) spaced winding A is close around one layer, two layers totally plus 15mm：
When for a6When, the number of turns 44.6；
When for a7When, the number of turns 52.7；
When for a8When, the number of turns 60.8；
When for a9When, the number of turns 68.9；
When for a10When, the number of turns 77；
C) spaced winding A adds 15mm close around two layers, totally three layers：
When for a11When, the number of turns 85.1；
When for a12When, the number of turns 93.2；
When for a13When, the number of turns 101.4；
When for a14When, the number of turns 109.4；
When for a15When, the number of turns 117.6；
D) spaced winding A adds 15mm close around three layers, totally four layers：
When for a16When, the number of turns 125.7；
When for a17When, the number of turns 133.8；
When for a18When, the number of turns 141.9；
When for a19When, the number of turns 150；
When for a20When, the number of turns 158.1；
E) spaced winding A adds 15mm close around four layers, totally five layers：
When for a21When, the number of turns 166.2；
When for a22When, the number of turns 174.3；
When for a23When, the number of turns 182.4；
When for a24When, the number of turns 190.5；
When for a25When, the number of turns 198.6；
F) spaced winding A adds 15mm close around five layers, totally six layers：
When for a26When, the number of turns 206.7；
When for a27When, the number of turns 214.9；
When for a28When, the number of turns 223；
When for a29When, the number of turns 231.1；
When for a30When, the number of turns 239.2.
The beneficial effects of the invention are as follows：The present invention fully meets the demand of the high-end sector application such as Aero-Space, can be with
The LVDT of different sensitivity is designed, the haul distance ratio of maximum 78%, 0.1%/FS LVDT precision, temperature system can be reached
Number full scales are better than 0.01%/FS/ DEG C, at the same except general LVDT carry out variate be VA-VB with apart from linear
Outside, can also be exported with scale factor, i.e. Va-Vb/Va+Vb with apart from linear, can so eliminate because Vin is unstable and
Error is caused, global consistency is less than 0.5%/FS.High accuracy, high stable, high uniformity are can be designed that using the present invention
LVDT。
Brief description of the drawings
The present invention is further described with reference to the accompanying drawings and examples.
Winding displacement schematic diagram when Fig. 1 is the C=1 of the present invention；
The arrangement of spaced winding A when Fig. 2 is the C=1 of the present invention represents to be intended to；
The arrangement of spaced winding B when Fig. 3 is the C=1 of the present invention represents to be intended to；
Winding displacement schematic diagram when Fig. 4 is the C=3 of the present invention；
The winding displacement schematic diagram of primary coiling when Fig. 5 is the C=3 of the present invention；
The arrangement of spaced winding A when Fig. 6 is the C=3 of the present invention represents to be intended to；
The arrangement of spaced winding B when Fig. 7 is the C=3 of the present invention represents to be intended to.
Embodiment
In order that the technical means, the inventive features, the objects and the advantages of the present invention are easy to understand, below it is right
The present invention is expanded on further.
As shown in Figures 1 to 7, a kind of LVDT secondary coil designs method, methods described step are as follows：
Step 1：By the design theory of secondary coil, i.e., when iron core moves in coilIt is
Constant, to make V2Z is proportional to, then sets up following formula：
-A1(∫n2adZ-∫n2bDZ)=K1Z (1)；
If order：
n2a=CZ, n2b=-CZ (2)；
Then in a length of l of iron corecCorresponding area's domain integral：
Above formula is substituted into formula (2) and obtained：
K1=-2ClcA1；
Then V2=K1Z；
K1For sensor sensitivity factor：
Drawn a conclusion by formula (2)：The density n of sensor secondary coil2It is directly proportional to displacement Z；
It is further comprising the steps of：
Step 2：Each group of total number of turns N of secondary coil2：
From formula (2) dimension, n2For circle/mm, Z mm, so C dimensions are circle/mm2If C=2 circles/mm2, then N2=
(l2/mm)2The number of turn, secondary coil is divided into m deciles along axis, m obtains bigger, n2Closer to ideal value, as m → ∞, from reason
N is said on2=CZ is set up for each point, but m can not possibly obtain excessive, and otherwise wire winding can not be realized, the too small errors of m
It is big to influence the linearity, if with a length of step of a mm, l2Mm long loops are segmented into m=l2/ a step, if first platform
Rank coil turn is S1Circle：
So：
C=2S1/a2(5)；
Step 3：
K-th of step number of turn be：
By k=1,2,3 ... ..., m-1 is substituted into formula (6) respectively：
During k=1,2k-1=1, Sk=S1；
During k=2,2k-1=3, Sk=3S1；
During k=3,2k-1=5, Sk=5S1；
During k=4,2k-1=7, Sk=7S1；
During k=5,2k-1=9, Sk=9S1；
During k=6,2k-1=11, Sk=11S1；
………
During k=m-1,2k-1=2m-1, Sk=(2m-1) S1；
Step 4：Draw a conclusion：
The number of turn S of i.e. each stepk：S1, 3S1, 5S1, 7S1, 9S1, 11S1……(2m-1)S1, secondary coil is by m step
Composition, each step number of turn are in arithmetic series, first term S1Tolerance d is 2S1I.e. the item number of slope is m, S1Determine that secondary voltage is big
Small, tolerance d determines level of sensitivity, and arithmetic series sum is：
Winding technologe between a kind of LVDT secondary coil design methods described in application, the spaced winding processing step are as follows：
The first step：Secondary coil is divided into m sections, is that amm, m and a can arbitrarily be set per segment length, can meet
Different LVDT needs, every section of number of turns are arithmetic series；
Second step：M item arithmetic series sums, as secondary number of total coils N2；
C=1, N2It is close around the number of turns for one layer；
C=3, N2It is close around the number of turns for three layers；
Different sensitivity LVDT design requirements can be met；
3rd step：Coefficient C is selected, determines that coil arranges.
In 3rd step, when selecting C=1, spooling step is as follows：
(1) primary close around 7 layers, every layer 735 is enclosed, spacing 0.204mm, 33#SPT enamel-covered wire, nominal diameter 0.198mm；
(2) secondary I is close around one layer of 1057.5 circle to the right since midpoint is 75mm, and spacing 0.070mm, the second layer is spaced winding
A, coiling from right to left, be one section per 5mm, every section of number of turns and spacing are shown in Fig. 2, spaced winding feature per intersegmental away from being to change, with
Number of turns increase, spacing reducing, and the second layer pulls out a line to center, originated with left half of third layer spaced winding A around complete
Line is in external connection；
(3) secondary II is also since midpoint, and close around one layer of 1057.5 circle to the left, spacing 0.07mm, the second layer is spaced winding
B, coiling from left to right, it is one section per 5mm, every section of number of turns and spacing are shown in Fig. 3, behind midpoint, are attached directly to right half of around the
Three layers of coiling B, from left to right until secondary II tail, terminates secondary II coiling；
(4) left one side of something of third layer, the A of coiling coiling to the left since midpoint, until secondary I tail end, secondary I coiling is terminated；
(5) left half of third layer A and right half of first layer are close around, second layer spaced winding A compositions secondary I；
(6) spaced winding A is 15 sections, and every section of 5mm is arranged by arithmetic series, first term a1=2.4, tolerance d=4.7, until the 15th
Item a15=68.2, the right is close also to be divided for 15 sections around 75mm by every section of 5mm；
(7) how to be encrypted from spaced winding with spaced winding and be connected into the key that arithmetic series is design around being connected, concrete operations are：
a15=68.2；
a16=68.2+4.7=72.9；
a16It is that spaced winding 2.4 processes the close number of turns around 5mm；
a16- 2.4=72.9-2.4=70.5 are enclosed, and the as close number of turns around 5mm is close around 75mm, common 70.5x15=1057.5
Circle；
Whole one group of secondary coil takes hop count i.e. arithmetic series item number m=30, per segment length a=5mm；
First layer is spaced winding a1、a2………a15；
It is an interlayer since 16 around adding last layer close around both sums are arithmetic series value, as follows：
16th, number of turns 2.4+70.5=72.9；
17th, number of turns 7.1+70.5=77.6；
18th, number of turns 11.8+70.5=82.3；
19th, number of turns 70.5+16.5=87；
………
30th, number of turns 68.2+70.5=138.7；
Secondary 43#SPT enamel-covered wires, nominal diameter 0.062mm, are up to 0.066mm, close to be set as 0.07mm around spacing
＞ 0.066mm.
In 3rd step, when selecting C=3, spooling step is as follows：
(1) primary coiling：33#SPT enamel-covered wires, nominal line footpath 0.198mm, close around four layers, every layer 450 is enclosed, and spacing is
0.2mm；
(2) secondary rolling thread：
A) coiling is since midpoint is at 45mm, and secondary I is close to the right, and around three layers, every layer 608 is enclosed, spacing 0.074mm, around
As shown by the arrows in Figure 4, the 4th layer is shown in Fig. 6 to be close around 405.4 circles, spacing 0.074mm, spaced winding A in line direction, the 5th interlayer around A,
It is close to pull out a lead-out wire around 202.7 circles, spacing 0.074mm, layer 6 for spaced winding A, with left half of 7th layer of initial outside
Portion connects；
B) secondary II is close around three layers to the left from midpoint, every layer 608 circle, spacing 0.074mm, the 4th layer to be close around, 405.4 circles,
Spacing is 0.074mm, and spaced winding B is shown in Fig. 7, and the 5th interlayer is around B, and then close around 202.7 circles, spacing 0.074mm, the 6th layer is spaced winding
B, it is close close around 202.7 around B around 405.4 circles, spacing 0.074mm, spaced winding B, the 8th interlayer subsequently around right half of layer 7
Circle, spacing 0.074mm, the 9th interlayer terminate as secondary II tail around B；
C) it is left one side of something since the 7th layer of midpoint, to the left it is close around 405.4 circle, spacing 0.074mm, spaced winding A, the 8th interlayer around
A, it is close to terminate around 202.7 circles, spacing 0.074mm, the 9th interlayer around A as secondary I tail；
D) the left half of 7th, 8,9 layer forms secondary I whole coil with the right half of 1st, 2,3,4,5,6 layer；
(3) it is 90mm around linear distance, takes hop count m=30, it is most of per a=3mm points six of segment length, per part 5, form item
Number is 30 arithmetic series；
A) mono- layer of spaced winding A：
When for a1When, the number of turns 4；
When for a2When, the number of turns 12.1；
When for a3When, the number of turns 20.2；
When for a4When, the number of turns 28.3；
When for a5When, the number of turns 36.5；
B) spaced winding A is close around one layer, two layers totally plus 15mm：
When for a6When, the number of turns 44.6；
When for a7When, the number of turns 52.7；
When for a8When, the number of turns 60.8；
When for a9When, the number of turns 68.9；
When for a10When, the number of turns 77；
C) spaced winding A adds 15mm close around two layers, totally three layers：
When for a11When, the number of turns 85.1；
When for a12When, the number of turns 93.2；
When for a13When, the number of turns 101.4；
When for a14When, the number of turns 109.4；
When for a15When, the number of turns 117.6；
D) spaced winding A adds 15mm close around three layers, totally four layers：
When for a16When, the number of turns 125.7；
When for a17When, the number of turns 133.8；
When for a18When, the number of turns 141.9；
When for a19When, the number of turns 150；
When for a20When, the number of turns 158.1；
E) spaced winding A adds 15mm close around four layers, totally five layers：
When for a21When, the number of turns 166.2；
When for a22When, the number of turns 174.3；
When for a23When, the number of turns 182.4；
When for a24When, the number of turns 190.5；
When for a25When, the number of turns 198.6；
F) spaced winding A adds 15mm close around five layers, totally six layers：
When for a26When, the number of turns 206.7；
When for a27When, the number of turns 214.9；
When for a28When, the number of turns 223；
When for a29When, the number of turns 231.1；
When for a30When, the number of turns 239.2.
The present invention can meet the LVDT design requirements of different sensitivity, compensate for existing according to different C values are taken
Wound LVDT can not reach excellent stroke and length ratio, so as to meet the harsh installation dimension requirement of the industries such as Aero-Space, fit
It is wide with scope.
General principle, principal character and the advantages of the present invention of the present invention has been shown and described above.The technology of the industry
For personnel it should be appreciated that the present invention is not limited to the above embodiments, that described in above-described embodiment and specification is the present invention
Principle, without departing from the spirit and scope of the present invention, various changes and modifications of the present invention are possible, these change and
Improvement all fall within the protetion scope of the claimed invention.The claimed scope of the invention is by appended claims and its equivalent
Thing defines.
Claims (4)
1. a kind of LVDT secondary coil designs method, methods described step are as follows：
Step 1：By the design theory of secondary coil, i.e., when iron core moves in coilIt is constant,
To make V2Z is proportional to, then sets up following formula：
-A1(∫n2adZ-∫n2bDZ)=K1Z (1)；
If order：
n2a=CZ, n2b=-CZ (2)；
Then in a length of l of iron corecCorresponding area's domain integral：
<mrow>
<mo>&Integral;</mo>
<msub>
<mi>n</mi>
<mrow>
<mn>2</mn>
<mi>a</mi>
</mrow>
</msub>
<mi>d</mi>
<mi>Z</mi>
<mo>-</mo>
<mo>&Integral;</mo>
<msub>
<mi>n</mi>
<mrow>
<mn>2</mn>
<mi>b</mi>
</mrow>
</msub>
<mi>d</mi>
<mi>Z</mi>
<mo>=</mo>
<msubsup>
<mo>&Integral;</mo>
<mrow>
<mi>Z</mi>
<mo>-</mo>
<mfrac>
<msub>
<mi>l</mi>
<mi>c</mi>
</msub>
<mn>2</mn>
</mfrac>
</mrow>
<mrow>
<mi>Z</mi>
<mo>+</mo>
<mfrac>
<msub>
<mi>l</mi>
<mi>c</mi>
</msub>
<mn>2</mn>
</mfrac>
</mrow>
</msubsup>
<mi>C</mi>
<mi>Z</mi>
<mi>d</mi>
<mi>Z</mi>
<mo>-</mo>
<msubsup>
<mo>&Integral;</mo>
<mrow>
<mi>Z</mi>
<mo>-</mo>
<mfrac>
<msub>
<mi>l</mi>
<mi>c</mi>
</msub>
<mn>2</mn>
</mfrac>
</mrow>
<mrow>
<mi>Z</mi>
<mo>+</mo>
<mfrac>
<msub>
<mi>l</mi>
<mi>c</mi>
</msub>
<mn>2</mn>
</mfrac>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mo>-</mo>
<mi>C</mi>
<mi>Z</mi>
<mo>)</mo>
</mrow>
<mi>d</mi>
<mi>Z</mi>
<mo>=</mo>
<mn>2</mn>
<msub>
<mi>Cl</mi>
<mi>c</mi>
</msub>
<mi>Z</mi>
</mrow>
Above formula is substituted into formula (2) to obtain：
K1=-2ClcA1
Then V2=K1Z；
K1For sensor sensitivity factor：
<mrow>
<msub>
<mi>K</mi>
<mn>1</mn>
</msub>
<mo>=</mo>
<mo>-</mo>
<mn>2</mn>
<msub>
<mi>Cl</mi>
<mi>c</mi>
</msub>
<msub>
<mi>A</mi>
<mi>l</mi>
</msub>
<mo>=</mo>
<mo>-</mo>
<mn>2</mn>
<msub>
<mi>Cl</mi>
<mi>c</mi>
</msub>
<msub>
<mi>&mu;</mi>
<mn>0</mn>
</msub>
<msub>
<mi>n</mi>
<mn>1</mn>
</msub>
<mi>S</mi>
<mfrac>
<mrow>
<mi>d</mi>
<mi>I</mi>
</mrow>
<mrow>
<mi>d</mi>
<mi>t</mi>
</mrow>
</mfrac>
<mi>f</mi>
<mrow>
<mo>(</mo>
<mi>x</mi>
<mo>)</mo>
</mrow>
<msub>
<mi>&mu;</mi>
<mi>r</mi>
</msub>
</mrow>
It is characterized in that：Drawn a conclusion by formula (2)：The density n of sensor secondary coil2It is directly proportional to displacement Z；
It is further comprising the steps of：
Step 2：Each group of total number of turns N of secondary coil2：
<mrow>
<msub>
<mi>N</mi>
<mn>2</mn>
</msub>
<mo>=</mo>
<msubsup>
<mo>&Integral;</mo>
<mn>0</mn>
<msub>
<mi>l</mi>
<mn>2</mn>
</msub>
</msubsup>
<msub>
<mi>n</mi>
<mn>2</mn>
</msub>
<mi>d</mi>
<mi>Z</mi>
<mo>=</mo>
<msubsup>
<mo>&Integral;</mo>
<mn>0</mn>
<msub>
<mi>l</mi>
<mn>2</mn>
</msub>
</msubsup>
<mi>C</mi>
<mi>Z</mi>
<mi>d</mi>
<mi>Z</mi>
<mo>=</mo>
<mn>1</mn>
<mo>/</mo>
<mn>2</mn>
<msup>
<mi>CZ</mi>
<mn>2</mn>
</msup>
<msubsup>
<mo>|</mo>
<mn>0</mn>
<msub>
<mi>l</mi>
<mn>2</mn>
</msub>
</msubsup>
<mo>=</mo>
<mn>1</mn>
<mo>/</mo>
<mn>2</mn>
<msup>
<msub>
<mi>Cl</mi>
<mn>2</mn>
</msub>
<mn>2</mn>
</msup>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>3</mn>
<mo>)</mo>
</mrow>
<mo>;</mo>
</mrow>
From formula (2) dimension, n2For circle/mm, Z mm, so C dimensions are circle/mm2If C=2 circles/mm2, then N2=(l2/
mm)2The number of turn, secondary coil is divided into m deciles along axis, m obtains bigger, n2Closer ideal value, as m → ∞, theoretically
Say n2=CZ is set up for each point, but m can not possibly obtain excessive, and otherwise wire winding can not be realized, the too small big shadows of error of m
The linearity is rung, if with a length of step of amm, l2Mm long loops are segmented into m=l2/ a step, if first stepped line
The circle number of turn is S1Circle：
<mrow>
<msub>
<mi>S</mi>
<mn>1</mn>
</msub>
<mo>=</mo>
<msubsup>
<mo>&Integral;</mo>
<mn>0</mn>
<mi>a</mi>
</msubsup>
<mi>C</mi>
<mi>Z</mi>
<mi>d</mi>
<mi>Z</mi>
<mo>=</mo>
<mn>1</mn>
<mo>/</mo>
<mn>2</mn>
<msup>
<mi>Ca</mi>
<mn>2</mn>
</msup>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>4</mn>
<mo>)</mo>
</mrow>
<mo>;</mo>
</mrow>
So：
C=2S1/a2(5)；
Step 3：
K-th of step number of turn be：
<mrow>
<mtable>
<mtr>
<mtd>
<mrow>
<msub>
<mi>S</mi>
<mi>K</mi>
</msub>
<mo>=</mo>
<msubsup>
<mo>&Integral;</mo>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>-</mo>
<mn>1</mn>
<mo>)</mo>
<mi>a</mi>
</mrow>
<mrow>
<mi>k</mi>
<mi>a</mi>
</mrow>
</msubsup>
<mi>C</mi>
<mi>Z</mi>
<mi>d</mi>
<mi>Z</mi>
<mo>=</mo>
<msubsup>
<mo>&Integral;</mo>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>-</mo>
<mn>1</mn>
<mo>)</mo>
<mi>a</mi>
</mrow>
<mrow>
<mi>k</mi>
<mi>a</mi>
</mrow>
</msubsup>
<mn>2</mn>
<msub>
<mi>S</mi>
<mn>1</mn>
</msub>
<mo>/</mo>
<msup>
<mi>a</mi>
<mn>2</mn>
</msup>
<mi>Z</mi>
<mi>d</mi>
<mi>Z</mi>
<mo>=</mo>
<mn>2</mn>
<msub>
<mi>S</mi>
<mn>1</mn>
</msub>
<mo>/</mo>
<msup>
<mi>a</mi>
<mn>2</mn>
</msup>
<mo>*</mo>
<mn>1</mn>
<mo>/</mo>
<mn>2</mn>
<msup>
<mi>Z</mi>
<mn>2</mn>
</msup>
<msubsup>
<mo>|</mo>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>-</mo>
<mn>1</mn>
<mo>)</mo>
<mi>a</mi>
</mrow>
<mrow>
<mi>k</mi>
<mi>a</mi>
</mrow>
</msubsup>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>=</mo>
<msub>
<mi>S</mi>
<mn>1</mn>
</msub>
<mo>/</mo>
<msup>
<mi>a</mi>
<mn>2</mn>
</msup>
<mo>&lsqb;</mo>
<msup>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mi>a</mi>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>-</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<msup>
<mi>a</mi>
<mn>2</mn>
</msup>
<mo>&rsqb;</mo>
<mo>=</mo>
<mrow>
<mo>(</mo>
<mn>2</mn>
<mi>k</mi>
<mo>-</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<msub>
<mi>S</mi>
<mn>1</mn>
</msub>
</mrow>
</mtd>
</mtr>
</mtable>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>6</mn>
<mo>)</mo>
</mrow>
<mo>;</mo>
</mrow>
By k=1,2,3 ... ..., m-1 is substituted into formula (6) respectively：
During k=1,2k-1=1, Sk=S1；
During k=2,2k-1=3, Sk=3S1；
During k=3,2k-1=5, Sk=5S1；
During k=4,2k-1=7, Sk=7S1；
During k=5,2k-1=9, Sk=9S1；
During k=6,2k-1=11, Sk=11S1；
………
During k=m-1,2k-1=2m-1, Sk=(2m-1) S1；
Step 4：Draw a conclusion：
The number of turn S of i.e. each stepk：S1, 3S1, 5S1, 7S1, 9S1, 11S1……(2m-1)S1, secondary coil is by m step group
It is in arithmetic series into, each step number of turn, first term S1Tolerance d is 2S1I.e. the item number of slope is m, S1Determine that secondary voltage is big
Small, tolerance d determines level of sensitivity, and arithmetic series sum is：
<mrow>
<msub>
<mi>N</mi>
<mn>2</mn>
</msub>
<mo>=</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>k</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>m</mi>
</munderover>
<msub>
<mi>N</mi>
<mi>k</mi>
</msub>
<mo>=</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>k</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>m</mi>
</munderover>
<mrow>
<mo>(</mo>
<mn>2</mn>
<mi>m</mi>
<mo>-</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<msub>
<mi>S</mi>
<mn>1</mn>
</msub>
<mo>=</mo>
<msub>
<mi>S</mi>
<mn>1</mn>
</msub>
<msup>
<mi>m</mi>
<mn>2</mn>
</msup>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>7</mn>
<mo>)</mo>
</mrow>
<mo>.</mo>
</mrow>
A kind of 2. winding technologe between described LVDT secondary coil design methods using claim 1, it is characterised in that：It is described
Spaced winding processing step is as follows：
The first step：Secondary coil is divided into m sections, is that amm, m and a can arbitrarily be set per segment length, difference can be met
LVDT needs, every section of number of turns are arithmetic series；
Second step：M item arithmetic series sums, as secondary number of total coils N2；
C=1, N2It is close around the number of turns for one layer；
C=3, N2It is close around the number of turns for three layers；
Different sensitivity LVDT design requirements can be met；
3rd step：Coefficient C is selected, determines that coil arranges.
3. winding technologe between a kind of secondary coil design method using LVDT according to claim 2, it is characterised in that：Institute
State in the 3rd step, when selecting C=1, spooling step is as follows：
(1) primary close around 7 layers, every layer 735 is enclosed, spacing 0.204mm, 33#SPT enamel-covered wire, nominal diameter 0.198mm；
(2) secondary I is close to the right since midpoint is 75mm encloses around one layer 1057.5, and spacing 0.070mm, the second layer is spaced winding A, from
The left coiling of dextrad, it is one section per 5mm, away from being to change, as the number of turns increases, spacing is reducing spaced winding feature per intersegmental, and the
Two layers around complete, pull out a line, with left half of third layer spaced winding A start lines in external connection to center；
(3) secondary II is also since midpoint, and close to the left to be enclosed around one layer 1057.5, spacing 0.07mm, the second layer is spaced winding B, from
From left to right coiling, be one section per 5mm, behind midpoint, be attached directly to it is right half of around third layer coiling B, from left to right until
Secondary II tail, terminate secondary II coiling；
(4) left one side of something of third layer, the A of coiling coiling to the left since midpoint, until secondary I tail end, secondary I coiling is terminated；
(5) left half of third layer A and right half of first layer are close around, second layer spaced winding A compositions secondary I；
(6) spaced winding A is 15 sections, and every section of 5mm is arranged by arithmetic series, first term a1=2.4, tolerance d=4.7, until the 15th a15
=68.2, the right is close also to be divided for 15 sections around 75mm by every section of 5mm；
(7) how to be encrypted from spaced winding with spaced winding and be connected into the key that arithmetic series is design around being connected, concrete operations are：
a15=68.2；
a16=68.2+4.7=72.9；
a16It is that spaced winding 2.4 processes the close number of turns around 5mm；
a16- 2.4=72.9-2.4=70.5 are enclosed, the as close number of turns around 5mm, close around 75mm, common 70.5x15=1057.5 circles；
Whole one group of secondary coil takes hop count i.e. arithmetic series item number m=30, per segment length a=5mm；
First layer is spaced winding a1、a2………a15；
It is an interlayer since 16 around adding last layer close around both sums are arithmetic series value, as follows：
16th, number of turns 2.4+70.5=72.9；
17th, number of turns 7.1+70.5=77.6；
18th, number of turns 11.8+70.5=82.3；
19th, number of turns 70.5+16.5=87；
………
30th, number of turns 68.2+70.5=138.7；
Secondary 43#SPT enamel-covered wires, nominal diameter 0.062mm, it is up to 0.066mm, it is close to be set as 0.07mm ＞ around spacing
0.066mm。
4. winding technologe between a kind of secondary coil design method using LVDT according to claim 2, it is characterised in that：Institute
State in the 3rd step, when selecting C=3, spooling step is as follows：
(1) primary coiling：33#SPT enamel-covered wires, nominal line footpath 0.198mm, close around four layers, every layer 450 is enclosed, spacing 0.2mm；
(2) secondary rolling thread：
A) coiling is since midpoint is at 45mm, and secondary I is close around three layers to the right, and every layer 608 is enclosed, spacing 0.074mm, the 4th layer
To be close around 405.4 circles, spacing 0.074mm, the 5th interlayer is around A, and close around 202.7 circles, spacing 0.074mm, layer 6 is spaced winding
A pulls out a lead-out wire, with left half of 7th layer of initial in external connection；
B) secondary II is close around three layers to the left from midpoint, and every layer 608 circle, spacing 0.074mm, the 4th layer to be close around 405.4 enclose, spacing
For 0.074mm, the 5th interlayer is around B, and then close around 202.7 circles, spacing 0.074mm, the 6th layer is spaced winding B, subsequently around right half
Side layer 7, it is close close to be around 202.7 circles, spacing around B around 405.4 circles, spacing 0.074mm, spaced winding B, the 8th interlayer
0.074mm, the 9th interlayer terminate as secondary II tail around B；
C) left one side of something is close close around A around 405.4 circles, spacing 0.074mm, spaced winding A, the 8th interlayer to the left since the 7th layer of midpoint
Around 202.7 circles, spacing 0.074mm, the 9th interlayer terminates as secondary I tail around A；
D) the left half of 7th, 8,9 layer forms secondary I whole coil with the right half of 1st, 2,3,4,5,6 layer；
(3) it is 90mm around linear distance, takes hop count m=30, most of per a=3mm points six of segment length, per part 5, composition item number is
30 arithmetic series；
A) mono- layer of spaced winding A：
When for a1When, the number of turns 4；
When for a2When, the number of turns 12.1；
When for a3When, the number of turns 20.2；
When for a4When, the number of turns 28.3；
When for a5When, the number of turns 36.5；
B) spaced winding A is close around one layer, two layers totally plus 15mm：
When for a6When, the number of turns 44.6；
When for a7When, the number of turns 52.7；
When for a8When, the number of turns 60.8；
When for a9When, the number of turns 68.9；
When for a10When, the number of turns 77；
C) spaced winding A adds 15mm close around two layers, totally three layers：
When for a11When, the number of turns 85.1；
When for a12When, the number of turns 93.2；
When for a13When, the number of turns 101.4；
When for a14When, the number of turns 109.4；
When for a15When, the number of turns 117.6；
D) spaced winding A adds 15mm close around three layers, totally four layers：
When for a16When, the number of turns 125.7；
When for a17When, the number of turns 133.8；
When for a18When, the number of turns 141.9；
When for a19When, the number of turns 150；
When for a20When, the number of turns 158.1；
E) spaced winding A adds 15mm close around four layers, totally five layers：
When for a21When, the number of turns 166.2；
When for a22When, the number of turns 174.3；
When for a23When, the number of turns 182.4；
When for a24When, the number of turns 190.5；
When for a25When, the number of turns 198.6；
F) spaced winding A adds 15mm close around five layers, totally six layers：
When for a26When, the number of turns 206.7；
When for a27When, the number of turns 214.9；
When for a28When, the number of turns 223；
When for a29When, the number of turns 231.1；
When for a30When, the number of turns 239.2.
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| CN109616313A (en) * | 2018-12-20 | 2019-04-12 | 安徽感航电子科技有限公司 | Small travel proportional exports LVDT bucking coil technique |
| CN109633232B (en) * | 2018-12-20 | 2021-07-13 | 安徽感航电子科技有限公司 | Design method of small-stroke LVRT compensation coil |
| US10955263B2 (en) * | 2019-04-18 | 2021-03-23 | Honeywell International Inc. | Apparatuses, systems, and methods for improved sensor devices |
| CN112414289B (en) * | 2020-11-09 | 2022-04-01 | 安徽感航电子科技有限公司 | Design method of high-stability displacement sensor |
| CN113188432B (en) * | 2021-06-25 | 2021-09-14 | 西安联飞智能装备研究院有限责任公司 | LVDT sensor and winding method thereof |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| US4808958A (en) * | 1987-07-23 | 1989-02-28 | Bourns Instruments, Inc. | Linear variable differential transformer with improved secondary windings |
| JPH0371608A (en) * | 1989-08-10 | 1991-03-27 | Mitsubishi Heavy Ind Ltd | Multiple layer winding differential transformer |
| KR20040055747A (en) * | 2004-05-14 | 2004-06-26 | 전계록 | LVDT using double coil type |
| CN104465044B (en) * | 2013-09-17 | 2017-12-08 | 精量电子（深圳）有限公司 | Linear variable differential sensor and its winding method |
| CN104266575A (en) * | 2014-10-08 | 2015-01-07 | 北京曙光航空电气有限责任公司 | Coil structure of LVDT |
| CN204332574U (en) * | 2014-12-03 | 2015-05-13 | 武汉航空仪表有限责任公司 | The coil winding construction that a kind of LVDT is novel |
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