Film roll diameter calculation method for high-speed winding and unwinding equipment based on real-time tension

Abstract

The present invention discloses a film roll diameter calculation method for a high-speed winding and unwinding device based on real-time tension, which is performed according to the following steps: S1: setting target material parameters; S2: setting the control system operation cycle t; S3: starting the tension closed-loop control system to keep the film in a relatively stable tension in a static state; S4: giving the initial value of the state matrix based on the current tension and the preset roll diameter and thickness; S5: starting the operation to obtain the linear speed of the film and the rotation speed of the roller; S6: calculating the roll diameter through a Kalman filter. The present invention has the characteristics of accurate and stable roll diameter calculation, and is more suitable for stable control of tension.

Description

Technical Field

[0001] The invention relates to the field of film roll diameter measurement, and in particular to a film roll diameter calculation method of a high-speed winding and unwinding device based on real-time tension. Background Art

[0002] Winding and unwinding equipment includes a series of equipment products such as film printing, rewinding, laminating, slitting, bag making, etc. The key to the processing efficiency and accuracy of the equipment lies in the stable control of the film tension and speed, and the stability of tension and speed depends on the correctness of the roll diameter. However, the existing roll diameter calculation method involves many uncertain factors, such as film thickness measurement error, even unevenness, running line speed jitter, etc., and the measurement result error is large, which is difficult to meet the application of high-speed and ultra-high-speed operation. Summary of the invention

[0003] The object of the present invention is to provide a method for calculating the film roll diameter of a high-speed winding and unwinding device based on real-time tension. The present invention has the characteristics of accurate and stable roll diameter calculation and is more suitable for stable tension control.

[0004] The technical solution of the present invention:

[0005] A method for calculating the film roll diameter of a high-speed winding and unwinding device based on real-time tension is characterized by being performed in the following steps:

[0006] S1: Set target material parameters;

[0007] S2: Set the control system operation cycle t;

[0008] S3: Start the tension closed-loop control system to keep the film in a relatively stable tension in a static state;

[0009] S4: Based on the current tension F0 and the preset roll diameter r0, thickness h0 = H, the initial value of the state matrix is ​​given

[0010] S5: Start the operation and obtain the linear speed of the film and the rotation speed of the roller;

[0011] S6: Calculate the curling radius using a Kalman filter.

[0012] In the above-mentioned film roll diameter calculation method of the high-speed winding and unwinding equipment based on real-time tension, the calculation method of the Kalman filter is:

[0013] P h =AP k-1 A T +Q (1)

[0014] K=P h C T(CP h C T +1) -1 (2)

[0015] P k =(I-KC)P h (3)

[0016] X h =AX k-1 +vB (4)

[0017] X k =Xh+(F-CX h )K (5)

[0018] in: C = [0 0 1];

[0019]

[0020] E is the elastic modulus of the material; H is the material thickness; L is the material width; t is the system period; ω is the roller speed at time k; v is the film linear speed at time k; Q r , Q h , Q F , P r , P h , P F is the filter coefficient.

[0021] In the aforementioned method for calculating the film roll diameter of a high-speed winding and unwinding device based on real-time tension, the parameters of S1 include elastic modulus E, thickness H and width L.

[0022] Compared with the prior art, the present invention has the following beneficial effects:

[0023] The present invention uses the essential relationship between tension and roll diameter, and then uses the optimized autoregressive data processing algorithm to accurately calculate the film roll diameter. The final winding and unwinding control system can give accurate speed or torque instructions based on the correct roll diameter, and with simple tension closed-loop control, high-speed winding and unwinding control with stable tension can be achieved. The present invention has the characteristics of accurate and stable roll diameter calculation, and is more suitable for stable tension control.

[0024] By using the calculation method of the present invention, when the system runs for more than 30 seconds, the film thickness converges to within an error of 2 μm; after more than one minute, the film thickness can converge to within a range of 0.5 μm. BRIEF DESCRIPTION OF THE DRAWINGS

[0025] Figure 1 This is a schematic diagram of the reeling and unreeling structure of the slitting machine;

[0026] Figure 2This is a schematic diagram of the comparison between the coil diameter calculation result and the laser rangefinder measurement value before filtering;

[0027] Figure 3 This is a detailed diagram of the first comparison before filtering;

[0028] Figure 4 This is a detailed diagram of the second comparison before filtering;

[0029] Figure 5 This is a detailed diagram of the third comparison before filtering;

[0030] Figure 6 This is a schematic diagram of the comparison between the coil diameter calculation result and the laser rangefinder measurement value after filtering;

[0031] Figure 7 It is a schematic diagram of the first comparison details after filtering;

[0032] Figure 8 It is a schematic diagram of the first comparison details after filtering;

[0033] Fig. 9 It is a schematic diagram of the third comparison details after filtering;

[0034] Fig.10 This is a schematic diagram of the film thickness calculation results. DETAILED DESCRIPTION

[0035] The present invention is further described below in conjunction with the accompanying drawings and embodiments, but they are not intended to limit the present invention.

[0036] Embodiment: A method for calculating the film roll diameter of a high-speed winding and unwinding device based on real-time tension is performed according to the following steps:

[0037] S1: Setting target material parameters; the parameters of S1 include elastic modulus E, thickness H and width L;

[0038] S2: Set the control system operation cycle t;

[0039] S3: Start the tension closed-loop control system to keep the film in a relatively stable tension in a static state;

[0040] S4: Based on the current tension F0 and the preset roll diameter r0, thickness h0 = H, the initial value of the state matrix is ​​given

[0041] S5: Start the operation and obtain the linear speed of the film and the rotation speed of the roller;

[0042] S6: Calculate the curling diameter through Kalman filter;

[0043] The calculation method of the Kalman filter is:

[0044] P h =AP k-1 A T +Q (1)

[0045] K=P h C T (CP h C T +1)-1 (2)

[0046] P k =(I-KC)P h (3)

[0047] X h =AX k-1 +vB (4)

[0048] X k =X h +(F-CX h )K (5)

[0049] in: C = [0 0 1];

[0050]

[0051] E is the elastic modulus of the material; H is the material thickness; L is the material width; t is the system period; ω is the roller speed at time k; v is the film linear speed at time k; Q r , Q h , Q F , P r , P h , P F is the filter coefficient.

[0052] The present invention can quickly calculate the accurate roll diameter value through multiple iterative operations, and the film thickness h can also slowly converge, and finally obtain a film thickness close to the actual value.

[0053] Embodiment 1: A method for calculating the film roll diameter of a high-speed winding and unwinding device based on real-time tension, characterized in that the method is performed according to the following steps:

[0054] 1) High-speed slitting machine system, application of unwinding roll diameter calculation, equipment structure such as Figure 1 As shown;

[0055] 2) Install a laser rangefinder (error range ±1mm) on the unwinding side to verify the correctness of the coil diameter calculation method of the present invention;

[0056] 3) Set the film elastic modulus to 1070 N / mm 2 , width 1.2m, thickness 56μm;

[0057] 4) System operation cycle 10ms;

[0058] 5) Start the tension control system, read the tension value after the tension stabilizes, and preset the roll diameter to 100mm to obtain the initial state matrix

[0059] 6) Set the filter parameter Q r =0.1, Q h =0, Q F =10000, P r =0.3, P h =0.0001, P F =0;

[0060] 7) After running, obtain the film linear speed and roller speed, and import them into calculation;

[0061] 8) Change the running speed to obtain calculation results under different running conditions, such as Figure 2 and Figure 6 As shown;

[0062] 9) The roll diameter calculation method of the present invention is used to calculate the roll diameter on the unwinding side. The difference is within 0.7 mm when compared with the measurement result of the laser rangefinder. Figures 2 to 5 As shown;

[0063] 10) Since the laser rangefinder itself has a large error and there is a time lag in the feedback of the analog voltage signal, the collected data is subjected to FIR filtering; the value after filtering of the laser rangefinder measurement value is compared with the roll diameter on the unwinding side obtained by the roll diameter calculation method of the present invention, and the difference is within 0.5 mm. Figures 6 to 9 As shown;

[0064] 11) Indicate through details Figures 3 to 5 ,as well as Figures 7 to 9 It can be seen that the calculation result of the winding diameter of the present invention is smoother and not distorted, and is more suitable for stable control of tension;

[0065] 12) If Fig.10 As shown, after the system runs for more than 30 seconds, the film thickness converges to within an error of 2μm; after more than one minute, the film thickness can converge to within 0.5μm;

[0066] The embodiments should not be regarded as limiting the present invention, and any improvements made based on the spirit of the present invention should be within the protection scope of the present invention.

Claims

1. A method for calculating the film roll diameter of a high-speed winding and unwinding device based on real-time tension, characterized in that: Follow these steps: S1: Set target material parameters; S2: Set the control system operation cycle t; S3: Start the tension closed-loop control system to keep the film in a relatively stable tension in a static state; S4: Based on the current tension F0 and the preset roll diameter r0, thickness h0 = H, the initial value of the state matrix is ​​given S5: Start the operation and obtain the linear speed of the film and the rotation speed of the roller; S6: Calculate the curling diameter through Kalman filter; The calculation method of the Kalman filter is: P h =AP k-1 From T +Q (1) K=P h C T (CP h C T +1) -1 (2) P k =(I-KC)P h (3) X h =AX k-1 +vB (4) X k =X h +(F-CX h )K (5) in: C = [0 0 1]; E is the elastic modulus of the material; H is the material thickness; L is the material width; t is the system period; ω is the roller speed at time k; v is the film linear speed at time k; Q r , Q h , Q F , P r , P h , P F is the filter coefficient.

2. The film roll diameter calculation method of the high-speed winding and unwinding equipment based on real-time tension according to claim 1 is characterized in that: The parameters of S1 include elastic modulus E, thickness H and width L.

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