CN113868886A - Real-time tension-based film roll diameter calculation method of high-speed winding and unwinding equipment - Google Patents

Real-time tension-based film roll diameter calculation method of high-speed winding and unwinding equipment Download PDF

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CN113868886A
CN113868886A CN202111186499.6A CN202111186499A CN113868886A CN 113868886 A CN113868886 A CN 113868886A CN 202111186499 A CN202111186499 A CN 202111186499A CN 113868886 A CN113868886 A CN 113868886A
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tension
film
speed
real
roll diameter
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朱刚
周宽忠
霍晓娜
虞文泽
孙浩然
李涵禧
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Ningbo Gugao Intelligent Technology Co ltd
Liaiwei Innovative Intelligent System Zhejiang Co ltd
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Liaiwei Innovative Intelligent System Zhejiang Co ltd
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Abstract

The invention discloses a real-time tension-based film roll diameter calculation method of high-speed winding and unwinding equipment, which comprises the following steps of: s1: setting target material parameters; s2: setting a control system operation period t; s3: starting a tension closed-loop control system to keep the film at a stable tension in a static state; s4: based on the current tension
Figure 100004_DEST_PATH_IMAGE002
And a preset coil diameter
Figure 100004_DEST_PATH_IMAGE004
Thickness of the film
Figure 100004_DEST_PATH_IMAGE006
Given the initial value of the state matrix
Figure 100004_DEST_PATH_IMAGE008
(ii) a S5: starting to operate, and acquiring the linear speed of the film and the rotating speed of the roller shaft; s6: and performing coil diameter calculation through a Kalman filter. The method has the characteristics of accurate and stable coil diameter calculation, and is more suitable for stable control of tension.

Description

Real-time tension-based film roll diameter calculation method of high-speed winding and unwinding equipment
Technical Field
The invention relates to the field of film roll diameter measurement, in particular to a film roll diameter calculation method of high-speed winding and unwinding equipment based on real-time tension.
Background
The winding and unwinding equipment comprises a series of equipment products such as film printing, rewinding, compounding, slitting, bag making and the like, and the processing production efficiency and precision of the equipment are characterized in that the stability of the tension and the speed of the film is controlled, and the stability of the tension and the speed depends on the correctness of the winding diameter. However, the conventional roll diameter calculation method involves many uncertain factors, such as film thickness measurement error, even non-uniformity, and running linear velocity jitter, and the measurement result error is large, so that it is difficult to satisfy the application in the high-speed and ultra-high-speed running state.
Disclosure of Invention
The invention aims to provide a method for calculating the film roll diameter of high-speed winding and unwinding equipment based on real-time tension. The method has the characteristics of accurate and stable coil diameter calculation, and is more suitable for stable control of tension.
The technical scheme of the invention is as follows:
the method for calculating the film roll diameter of the high-speed winding and unwinding equipment based on real-time tension is characterized by comprising the following steps of:
s1: setting target material parameters;
s2: setting a control system operation period t;
s3: starting a tension closed-loop control system to keep the film at a stable tension in a static state;
s4: based on the current tension
Figure DEST_PATH_IMAGE002
And a preset coil diameter
Figure DEST_PATH_IMAGE004
Thickness of the film
Figure DEST_PATH_IMAGE006
Given the initial value of the state matrix
Figure DEST_PATH_IMAGE008
；
S5: starting to operate, and acquiring the linear speed of the film and the rotating speed of the roller shaft;
s6: and performing coil diameter calculation through a Kalman filter.
In the method for calculating the film roll diameter of the high-speed winding and unwinding device based on real-time tension, the method for calculating the Kalman filter includes:
Figure DEST_PATH_IMAGE010
(1)
Figure DEST_PATH_IMAGE012
(2)
Figure DEST_PATH_IMAGE014
(3)
Figure DEST_PATH_IMAGE016
(4)
Figure DEST_PATH_IMAGE018
(5)
wherein:
Figure DEST_PATH_IMAGE020
；
Figure DEST_PATH_IMAGE022
；
Figure DEST_PATH_IMAGE024
；
Figure DEST_PATH_IMAGE026
；
Figure DEST_PATH_IMAGE028
；
Figure DEST_PATH_IMAGE030
；
Figure DEST_PATH_IMAGE032
；
Figure DEST_PATH_IMAGE034
(ii) a E is the modulus of elasticity of the material; h is the material thickness; l is the material width; t is the system period;
Figure DEST_PATH_IMAGE036
is the roll shaft rotation speed at time k; v is the film linear velocity at time k;
Figure DEST_PATH_IMAGE038
、
Figure DEST_PATH_IMAGE040
、
Figure DEST_PATH_IMAGE042
、
Figure DEST_PATH_IMAGE044
、
Figure DEST_PATH_IMAGE046
、
Figure DEST_PATH_IMAGE048
are filter coefficients.
In the method for calculating the film roll diameter of the real-time tension-based high-speed winding and unwinding device, the parameters of S1 include an elastic modulus E, a thickness H, and a width L.
Compared with the prior art, the invention has the following beneficial effects:
according to the invention, the film roll diameter is accurately calculated by using an optimized autoregressive data processing algorithm through the essential relation between the tension and the roll diameter. And finally, the winding and unwinding control system can give an accurate speed or torque instruction according to the correct winding diameter, and can realize high-speed winding and unwinding control with stable tension by adding simple tension closed-loop control. The method has the characteristics of accurate and stable coil diameter calculation, and is more suitable for stable control of tension.
By applying the calculation method of the invention, when the system runs for more than 30 seconds, the film thickness converges to the error of 2
Figure DEST_PATH_IMAGE050
The content of the compound is less than the content of the compound; after one minute or more, the film thickness can be converged to 0.5
Figure 935205DEST_PATH_IMAGE050
Within the range.
Drawings
FIG. 1 is a schematic view of a winding and unwinding structure of a splitting machine;
FIG. 2 is a schematic diagram showing the comparison of the roll diameter calculation result with the laser range finder measurement before filtering;
FIG. 3 is a schematic diagram of a first comparative detail before filtering;
FIG. 4 is a second comparative detailed schematic before filtering;
FIG. 5 is a third comparative detailed schematic before filtering;
FIG. 6 is a graph illustrating the comparison of the roll diameter calculation with the laser rangefinder measurement after filtering;
FIG. 7 is a schematic diagram of a first comparative detail after filtering;
FIG. 8 is a schematic diagram of a first comparison detail after filtering;
FIG. 9 is a third comparative detail diagram after filtering;
FIG. 10 is a graph showing the results of film thickness calculation.
Detailed Description
The invention is further illustrated by the following figures and examples, which are not to be construed as limiting the invention.
Example (b): the method for calculating the film roll diameter of the high-speed winding and unwinding equipment based on real-time tension comprises the following steps:
s1: setting target material parameters; the parameters of S1 include elastic modulus E, thickness H and width L;
s2: setting a control system operation period t;
s3: starting a tension closed-loop control system to keep the film at a stable tension in a static state;
s4: based on the current tension
Figure 416914DEST_PATH_IMAGE002
And a preset coil diameter
Figure 127381DEST_PATH_IMAGE004
Thickness of the film
Figure 995980DEST_PATH_IMAGE006
Given the initial value of the state matrix
Figure 108293DEST_PATH_IMAGE008
；
S5: starting to operate, and acquiring the linear speed of the film and the rotating speed of the roller shaft;
s6: performing coil diameter calculation through a Kalman filter;
the calculation method of the Kalman filter comprises the following steps:
Figure 53246DEST_PATH_IMAGE010
(1)
Figure 251009DEST_PATH_IMAGE012
(2)
Figure 126561DEST_PATH_IMAGE014
(3)
Figure 467282DEST_PATH_IMAGE016
(4)
Figure 707770DEST_PATH_IMAGE018
(5)
wherein:
Figure 251884DEST_PATH_IMAGE020
；
Figure 868810DEST_PATH_IMAGE022
；
Figure 565502DEST_PATH_IMAGE024
；
Figure 976892DEST_PATH_IMAGE026
；
Figure 211564DEST_PATH_IMAGE028
；
Figure 474924DEST_PATH_IMAGE030
；
Figure 416335DEST_PATH_IMAGE032
；
Figure 123260DEST_PATH_IMAGE034
(ii) a E is the modulus of elasticity of the material; h is the material thickness; l is the material width; t is the system period;
Figure 517332DEST_PATH_IMAGE036
is the roll shaft rotation speed at time k; v is the film linear velocity at time k;
Figure 85848DEST_PATH_IMAGE038
、
Figure 616186DEST_PATH_IMAGE040
、
Figure 494012DEST_PATH_IMAGE042
、
Figure 640960DEST_PATH_IMAGE044
、
Figure 511702DEST_PATH_IMAGE046
、
Figure 162126DEST_PATH_IMAGE048
are filter coefficients.
According to the invention, the accurate roll diameter value can be rapidly calculated through repeated iterative operation, and the film thickness h can be slowly converged, so that the film thickness close to the actual film thickness can be finally obtained.
Example 1: the method for calculating the film roll diameter of the high-speed winding and unwinding equipment based on real-time tension is characterized by comprising the following steps of:
1) the high-speed splitting machine system, the application of calculating the unreeling roll diameter and the equipment structure are shown in figure 1;
2) a laser range finder (with an error range of +/-1 mm) is arranged on the unwinding side so as to verify the correctness of the coil diameter calculation method disclosed by the invention;
3) set modulus of elasticity 1070 of film
Figure DEST_PATH_IMAGE052
Width 1.2 m and thickness 56
Figure 414116DEST_PATH_IMAGE050
；
4) The system operation period is 10 ms;
5) starting a tension control system, reading a tension value after the tension is stable, and presetting a coil diameter of 100 mm to obtain an initial state matrix
Figure DEST_PATH_IMAGE054
；
6) Setting filter parameters
Figure DEST_PATH_IMAGE056
、
Figure DEST_PATH_IMAGE058
、
Figure DEST_PATH_IMAGE060
、
Figure DEST_PATH_IMAGE062
、
Figure DEST_PATH_IMAGE064
.0001、
Figure DEST_PATH_IMAGE066
；
7) After the operation, the linear velocity of the film and the rotating speed of the roll shaft are obtained, and calculation is conducted;
8) changing the operating speed to obtain the calculation results under different operating conditions, as shown in fig. 2 and 6;
9) the roll diameter of the unreeling side obtained by the roll diameter calculation method is compared with the measurement result of the laser distance meter, and the difference is within the range of 0.7mm, as shown in FIGS. 2-5;
10) because the laser range finder has large errors and has time lag after analog voltage signal feedback, FIR filtering is carried out on the acquired data; comparing the value of the laser range finder after measurement value filtering with the roll diameter of the unreeling side obtained by the roll diameter calculation method, wherein the difference is within the range of 0.5mm, as shown in FIGS. 6-9;
11) as can be seen from the detailed schematic diagrams 3-5 and the figures 7-9, the coil diameter calculation result of the invention is smoother, is not distorted, and is more suitable for the stable control of tension;
12) as shown in FIG. 10, after the system was operated for 30 seconds, the film thickness converged to the error 2
Figure 557347DEST_PATH_IMAGE050
The content of the compound is less than the content of the compound; after one minute or more, the film thickness can be converged to 0.5
Figure 467665DEST_PATH_IMAGE050
Within the range;
the examples should not be construed as limiting the present invention and any modifications made based on the spirit of the present invention should be covered within the scope of protection of the present invention.

Claims (3)

1. The method for calculating the film roll diameter of the high-speed winding and unwinding equipment based on real-time tension is characterized by comprising the following steps of:
s1: setting target material parameters;
s2: setting a control system operation period t;
s3: starting a tension closed-loop control system to keep the film at a stable tension in a static state;
s4: based on the current tension
Figure DEST_PATH_IMAGE001
And a preset coil diameter
Figure 182903DEST_PATH_IMAGE002
Thickness of the film
Figure DEST_PATH_IMAGE003
Given the initial value of the state matrix
Figure 411628DEST_PATH_IMAGE004
；
S5: starting to operate, and acquiring the linear speed of the film and the rotating speed of the roller shaft;
s6: and performing coil diameter calculation through a Kalman filter.
2. The method for calculating the film roll diameter of the real-time tension-based high-speed winding and unwinding equipment according to claim 1, wherein the method for calculating the Kalman filter comprises the following steps:
Figure DEST_PATH_IMAGE005
(1)
Figure 253682DEST_PATH_IMAGE006
(2)
Figure DEST_PATH_IMAGE007
(3)
Figure 258679DEST_PATH_IMAGE008
(4)
Figure DEST_PATH_IMAGE009
(5)
wherein:
Figure 135368DEST_PATH_IMAGE010
；
Figure DEST_PATH_IMAGE011
；
Figure 269415DEST_PATH_IMAGE012
；
Figure DEST_PATH_IMAGE013
；
Figure 598765DEST_PATH_IMAGE014
；
Figure DEST_PATH_IMAGE015
；
Figure 610714DEST_PATH_IMAGE016
；
Figure DEST_PATH_IMAGE017
(ii) a E is the modulus of elasticity of the material; h is the material thickness; l is the material width; t is the system period;
Figure 341910DEST_PATH_IMAGE018
is the roll shaft rotation speed at time k; v is the film linear velocity at time k;
Figure DEST_PATH_IMAGE019
、
Figure 646858DEST_PATH_IMAGE020
、
Figure DEST_PATH_IMAGE021
、
Figure 197925DEST_PATH_IMAGE022
、
Figure DEST_PATH_IMAGE023
、
Figure 747987DEST_PATH_IMAGE024
are filter coefficients.
3. The method for calculating the film roll diameter of the real-time tension-based high-speed winding and unwinding device according to claim 1, wherein the parameters of S1 include an elastic modulus E, a thickness H and a width L.
CN202111186499.6A 2021-10-12 2021-10-12 Real-time tension-based film roll diameter calculation method of high-speed winding and unwinding equipment Pending CN113868886A (en)

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Application Number Priority Date Filing Date Title
CN202111186499.6A CN113868886A (en) 2021-10-12 2021-10-12 Real-time tension-based film roll diameter calculation method of high-speed winding and unwinding equipment

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CN113868886A true CN113868886A (en) 2021-12-31

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