Method and electronic device for iteratively adjusting cold rolling reduction distribution
By iteratively adjusting the cold rolling reduction distribution method, the calculation process was simplified, and the problems of existing methods relying on experience and complex calculations were solved. This enabled efficient and stable cold-rolled product production, and improved product quality and equipment utilization.
Patent Information
- Application Number
- CN202411775257.4
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-12-04
- Publication Date
- 2025-11-25
- Estimated Expiration
- 2044-12-04
AI Technical Summary
Existing cold rolling reduction distribution methods rely on operator experience, making it difficult to guarantee optimization. Furthermore, methods based on rolling theory are computationally complex and sensitive to initial values, which can easily lead to calculation divergence.
A method for iteratively adjusting the reduction distribution in cold continuous rolling mills is provided. By obtaining the initial intermediate thickness of the stand, the relative load factor is calculated, and the exit thickness is iteratively adjusted according to the predetermined maximum and minimum values. The relative load factor is converted into unit distance and root mean square calculation, which simplifies the calculation process and ensures load balance and equal flow rate per second.
It significantly simplifies the calculation process for cold continuous rolling reduction distribution, improves calculation speed and convergence, ensures continuous flow and uniform deformation of strip steel between stands, and enhances the quality and stability of cold-rolled products.
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Figure CN119681025B_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of cold rolling steel production, and in particular to a method and electronic device for iteratively adjusting the reduction distribution in continuous cold rolling. Background Technology
[0002] In the cold rolling industry, there are various reduction allocation schemes for rolling strip from a specified raw material thickness to a target finished product thickness. Traditional reduction allocation methods mainly include: empirical methods and energy consumption curve methods. Empirical methods rely on the operator's experience and form a standard rolling specification table based on factors such as strip material characteristics, incoming and finished product thickness, width, and lubrication conditions; however, this method is highly dependent on the operator's experience and makes it difficult to guarantee optimal reduction allocation. The energy consumption curve method is based on the assumptions of constant energy consumption per unit mass, fixed motor and torque arm coefficients, and material deformation resistance increasing with the number of rolling passes. It quantifies the energy consumption curve through actual data and then formulates a reduction allocation strategy; although this method can fully utilize the unit's capacity, it requires a large amount of measured data and energy consumption is affected by various factors, posing a challenge for new product development.
[0003] In recent years, the reduction distribution method based on rolling theory has become increasingly popular. This method solves the thickness distribution scheme for each pass based on the thickness of the incoming material and the finished product, determines the reduction path by setting n-1 constraints (such as rolling force balance, power balance, etc.), and solves the nonlinear equation system using the Newton-Raphson method. However, this method is computationally complex, very sensitive to the choice of initial values, and is prone to calculation divergence. Summary of the Invention
[0004] The embodiments of the present invention provide a method and electronic device for iteratively adjusting the cold rolling reduction distribution. The method simplifies the calculation process of cold rolling reduction distribution, is highly feasible, has good convergence, and is fast in calculation. Furthermore, it can carry out production according to the calculation results, thereby further improving the quality of cold-rolled products, reducing strip breakage and downtime in production, and reducing equipment wear.
[0005] To achieve the above objectives, on the one hand, a method for iteratively adjusting the cold continuous rolling reduction distribution is provided, the method comprising:
[0006] S1, obtain the initial intermediate thickness of each of the N stands. The N stands are arranged in a forward direction according to the order of strip entry and exit. The strip enters from the first stand, passes through the N stands in sequence, and exits from the Nth stand. The N-1 stands other than the Nth stand are intermediate stands. The intermediate thickness includes: entry thickness and exit thickness.
[0007] S2, calculate the relative load coefficient between the intermediate stands according to the predetermined load balancing method and the predetermined balance coefficient, rolling force, power and maximum power of each intermediate stand in the intermediate stand;
[0008] S3, the outlet thickness of the intermediate rack is iteratively adjusted according to the relative load coefficient between each intermediate rack, the predetermined maximum value of the relative load coefficient, the predetermined minimum value of the relative load coefficient, the maximum outlet thickness and the minimum outlet thickness of each intermediate rack during the iteration process, wherein the initial value of the maximum outlet thickness of each intermediate rack is the outlet thickness of the rack preceding it, and the initial value of the minimum outlet thickness of each intermediate rack is the outlet thickness of the rack following it.
[0009] Wherein, when the relative load factor is greater than the predetermined maximum value:
[0010] H i min =H i
[0011] H i =(H i +H i max ) / 2
[0012] H i min H represents the minimum exit thickness of the i-th intermediate rack. i max H represents the maximum outlet thickness of the i-th intermediate rack. i Let represent the exit thickness of the i-th intermediate rack, i∈[1,N-1];
[0013] Furthermore, when |H i -H i max |<H limit At that time, H limit If the predetermined threshold is reached, the iteration ends and step S4 is executed; otherwise, return to step S2.
[0014] When the relative load factor is less than the predetermined minimum value:
[0015] H i max =H i
[0016] H i =(H i +H i min ) / 2
[0017] Furthermore, when |Hi -H i min |<H limit If the iteration ends, proceed to step S4; otherwise, return to step S2.
[0018] When the relative load coefficient is greater than or equal to the predetermined minimum value and less than or equal to the predetermined maximum value, the iteration ends and step S4 is executed.
[0019] S4, convert the relative load factor into a unit distance relative to a predetermined ideal value, calculate the distance between the unit distance and the predetermined ideal value, and further calculate the root mean square of the distance; wherein:
[0020] c i =|b i -1|×1000
[0021]
[0022] c i b represents the distance between the unit distance and the predetermined ideal value. i The relative load factor is represented by M, and the root mean square (RMS) is represented by M.
[0023] S5. When the root mean square is less than a predetermined value, the loop ends; otherwise, the maximum and minimum exit thicknesses of each intermediate rack are set to initial values, and the process proceeds to step S2.
[0024] Preferably, in the method for iteratively adjusting the cold rolling reduction distribution, step S2 further includes:
[0025] The outlet velocity of each intermediate rack is calculated based on the principle of equal flow rate per second; where,
[0026] V i =V N ·H N / H i
[0027] V i V represents the exit speed of the i-th intermediate rack. N H represents the pre-obtained exit speed of the Nth rack. N This represents the initial exit thickness predetermined for the Nth rack.
[0028] Preferably, in the method for iteratively adjusting the cold rolling reduction distribution, step S1 is:
[0029] The initial intermediate thickness of each of the N racks is calculated using the predetermined initial first inlet thickness of the first rack and the predetermined initial first outlet thickness of the last rack, where:
[0030] H i =H i-1 ·(H N / H0) 1 / N
[0031] or
[0032] H i =H i-1 -(H0-H N ) / N
[0033] H i-1 H represents the exit thickness of the rack preceding the i-th rack, i.e., the entrance thickness of the i-th rack. N H represents the thickness of the first outlet, and H0 represents the thickness of the first inlet.
[0034] Preferably, in the method of iteratively adjusting the cold rolling reduction distribution, in step S2, the predetermined load balancing method includes: a method of achieving load balancing based on rolling force, power, or power ratio.
[0035] Preferably, in the method for iteratively adjusting the cold rolling reduction distribution, step S2 includes:
[0036] When the rolling force is used to achieve load balance:
[0037]
[0038] F i F represents the rolling force of the i-th stand. i+1 a represents the rolling force in the next stand after the i-th stand. i Let a represent the balance coefficient of the i-th rack. i+1 This represents the balance coefficient of the rack following the i-th rack;
[0039] When the aforementioned power is used to achieve load balancing:
[0040]
[0041] P i P represents the power of the i-th rack. i+1 This represents the power of the rack following the i-th rack;
[0042] When the power ratio is used to achieve load balancing:
[0043]
[0044] P i max P represents the maximum power of the i-th rack. i+1max This represents the maximum power of the rack following the i-th rack.
[0045] Preferably, in the method for iteratively adjusting the cold continuous rolling reduction distribution, the rolling force is obtained through a predetermined calculation model, wherein the calculation model is:
[0046]
[0047] h1=Δh+h2
[0048]
[0049] α3 = 1.08 - 1.02 · ε
[0050]
[0051] αα7α1α3+α2
[0052]
[0053] R′=α9 2
[0054]
[0055] F represents the rolling force; h2, h1, C0, and α1~α9 are predetermined temporary variables; μ t v, E, v R and E R It is a predetermined constant;
[0056] k fm k represents the average deformation resistance calculated using a predetermined deformation resistance model. h This represents the deformation resistance at the frame exit calculated by the deformation resistance model;
[0057] μ represents the coefficient of friction calculated using a predetermined friction model;
[0058] H represents the inlet thickness of the current rack, which is equal to the outlet thickness H of the previous rack. i-1 h represents H i Δh represents the amount of reduction, and ε represents the reduction rate;
[0059] t b The unit tension is represented by t. f Indicates the tension of the first unit;
[0060] R0 represents the original working roll radius, and R′ represents the flattened working roll radius.
[0061] Preferably, in the method for iteratively adjusting the cold rolling reduction distribution, the power is obtained through a predetermined power calculation model, wherein the power calculation model is:
[0062]
[0063] P represents power, B represents the width of the strip, and T represents the power. B T represents the back tension. F V represents the pretension. r The values represent the roll speed, η1 represents the reduction ratio, η1 represents the efficiency coefficient, R0 represents the original work roll radius, R′ represents the flattened work roll radius, F represents the rolling force, and Δh represents the reduction amount.
[0064] Preferably, in the method for iteratively adjusting the cold rolling reduction distribution, in step S3, the predetermined maximum value and the predetermined minimum value of the relative load coefficient are determined by the following formula:
[0065] b i max =1+k1·k2 ite-1
[0066] b i min =1-k1·k2 ite-1
[0067] b i max b represents the predetermined maximum value of the relative load factor. i min The term represents the predetermined minimum value of the relative load coefficient, ite represents the number of iterations, and k1 and k2 represent predetermined constants.
[0068] On the other hand, embodiments of the present invention provide a method for reduction distribution in a single-stand reversible cold rolling mill, comprising:
[0069] S1, obtain the initial intermediate thickness of the N predetermined passes of the single stand. The N predetermined passes are arranged in the forward direction according to the order of strip entry and exit. The strip enters from the first pass, enters and exits the N passes in sequence, and exits from the Nth pass. The N-1 passes other than the Nth pass are intermediate passes. The intermediate thickness includes: entry thickness and exit thickness.
[0070] S2, calculate the relative load coefficient between intermediate passes according to the predetermined load balancing method and the predetermined balance coefficient, rolling force, power and maximum power of each intermediate pass in the intermediate passes;
[0071] S3, the exit thickness of the intermediate pass is iteratively adjusted based on the relative load coefficient between each intermediate pass, the predetermined maximum value of the relative load coefficient, the predetermined minimum value of the relative load coefficient, the maximum exit thickness and the minimum exit thickness of each intermediate pass during the iteration process, wherein the initial value of the maximum exit thickness of each intermediate pass is the exit thickness of the previous pass before itself, and the initial value of the minimum exit thickness of each intermediate pass is the exit pass of the next rack after itself.
[0072] Wherein, when the relative load factor is greater than the predetermined maximum value:
[0073] H i max =H i
[0074] H i =(H i +H i max ) / 2
[0075] H i min H represents the minimum exit thickness of the i-th intermediate pass. i max H represents the maximum exit thickness of the i-th intermediate pass. i Let represent the exit thickness of the i-th intermediate pass, i∈[1,N-1];
[0076] Furthermore, when |H i -H i max |<H limit At that time, H limit If the predetermined threshold is reached, the iteration ends and step S4 is executed; otherwise, return to step S2.
[0077] When the relative load factor is less than the predetermined minimum value:
[0078] H i max =H i
[0079] H i =(H i +H i min ) / 2
[0080] Furthermore, when |H i -H i min |<H limit If the iteration ends, proceed to step S4; otherwise, return to step S2.
[0081] When the relative load coefficient is greater than or equal to the predetermined minimum value and less than or equal to the predetermined maximum value, the iteration ends and step S4 is executed.
[0082] S4, convert the relative load factor into a unit distance relative to a predetermined ideal value, calculate the distance between the unit distance and the predetermined ideal value, and further calculate the root mean square of the distance; wherein:
[0083] c i =|b i -1|×1000
[0084]
[0085] c i b represents the distance between the unit distance and the predetermined ideal value. i The relative load factor is represented by M, and the root mean square (RMS) is represented by M.
[0086] S5. When the root mean square is less than a predetermined value, the loop ends; otherwise, the maximum and minimum exit thicknesses of each intermediate pass are set to initial values, and the process proceeds to step S2.
[0087] In another aspect, embodiments of the present invention provide an electronic device, comprising a memory and a processor, the memory storing at least one program, the at least one program being executed by the processor to implement the iterative adjustment method for cold rolling reduction distribution as described above.
[0088] The above technical solution has the following technical effects:
[0089] The embodiments of the present invention obtain the initial intermediate thickness of N stands; calculate the relative load coefficient between each intermediate stand; dynamically adjust the exit thickness of each intermediate stand according to the relative load coefficient, the predetermined maximum and minimum values of the relative load coefficient, and the maximum and minimum exit thickness of each intermediate stand. After each adjustment, check whether a predetermined threshold is met. If it is met, proceed to the next step; otherwise, return to the step of calculating the relative load coefficient and continue iterating. Convert the relative load coefficient into unit distances relative to a predetermined ideal value, calculate the distances between these unit distances and the predetermined ideal value, and then calculate the root mean square of these distances. When the root mean square is less than a predetermined value, end the loop; otherwise, set the maximum and minimum exit thicknesses of each intermediate stand to the initial values and return to the step of calculating the relative load coefficient to continue the loop. Therefore, through the iterative adjustment method of the embodiments of the present invention, the calculation process of cold rolling reduction distribution is significantly simplified, complex Jacobi matrix calculations and inversion operations are avoided, the calculation speed and convergence are improved, and the quality of cold-rolled products is ultimately improved.
[0090] In a further embodiment, by calculating the exit speed of the intermediate stand, the flow rate per second of each stand is ensured to be equal, thereby ensuring the continuous flow of strip steel between each stand, avoiding breakage or accumulation, and improving the stability and continuity of the rolling process; further optimizing the reduction distribution ensures that the load of each stand is balanced, and the principle of equal flow rate per second ensures uniform deformation of strip steel between each stand, improving the thickness uniformity and surface quality of strip steel, thereby improving the overall quality of the product;
[0091] In a further embodiment, the present invention does not have high requirements for the initial value of the pressing distribution, that is, it can quickly and accurately determine the initial thickness of each frame. Even if there is a certain error in the initial value, the present invention can gradually correct it through subsequent iterative optimization to ensure that the final pressing distribution reaches the optimal state. Attached Figure Description
[0092] Figure 1 This is a flowchart of an embodiment of the method for iteratively adjusting the cold continuous rolling reduction distribution according to the present invention;
[0093] Figure 2 In an embodiment of the present invention, the method for iteratively adjusting the reduction distribution in cold continuous rolling is used to obtain the iterative adjustment curve of the initial intermediate thickness using a reduction distribution strategy with equal reduction amount.
[0094] Figure 3 In an embodiment of the present invention, the method for iteratively adjusting the reduction distribution in cold continuous rolling is used to obtain the iterative adjustment curve of the initial intermediate thickness using a reduction distribution strategy with equal reduction rate.
[0095] Figure 4 In an embodiment of the present invention, the method for iteratively adjusting the cold rolling reduction distribution uses a reduction distribution strategy close to the finished product to obtain an iterative adjustment curve of the initial intermediate thickness.
[0096] Figure 5 In an embodiment of the present invention, the method for iteratively adjusting the cold rolling reduction distribution uses a reduction distribution strategy close to the raw material to obtain an iterative adjustment curve of the initial intermediate thickness.
[0097] Figure 6 This is a schematic diagram of the structure of an electronic device according to an embodiment of the present invention. Detailed Implementation
[0098] To further illustrate the various embodiments, the present invention provides accompanying drawings. These drawings are part of the disclosure of the present invention, primarily used to illustrate the embodiments and to explain the operating principles of the embodiments in conjunction with the relevant descriptions in the specification. With reference to these drawings, those skilled in the art should be able to understand other possible implementations and the advantages of the present invention. Components in the drawings are not drawn to scale, and similar component symbols are generally used to represent similar components.
[0099] The present invention will now be further described in conjunction with the accompanying drawings and specific embodiments.
[0100] Example 1:
[0101] To simplify the calculation process of cold rolling reduction distribution, achieve strong feasibility, good convergence, and fast calculation speed, and enable production based on the calculation results, thereby further improving the quality of cold-rolled products, reducing strip breakage and downtime in production, and reducing equipment wear, embodiments of the present invention provide an iterative adjustment method for cold rolling reduction distribution, wherein the iteration in this embodiment is a cyclic iteration. Figure 1 This is a flowchart illustrating an embodiment of the method for iteratively adjusting the cold continuous rolling reduction distribution according to the present invention. Figure 1 As shown, the method includes:
[0102] S1, obtain the initial intermediate thickness of each of the N stands. The N stands are arranged in the forward direction according to the order of strip entry and exit. The strip enters from the first stand, passes through the N stands in sequence, and exits from the Nth stand. The N-1 stands other than the Nth stand are intermediate stands. The intermediate thickness includes: entry thickness and exit thickness.
[0103] S2, calculate the relative load coefficient between intermediate stands based on the predetermined load balancing method and the predetermined balance coefficient, rolling force, power and maximum power of each intermediate stand in the intermediate stand;
[0104] S3, the exit thickness of the intermediate rack is iteratively adjusted based on the relative load coefficient between each intermediate rack, the predetermined maximum value of the relative load coefficient, the predetermined minimum value of the relative load coefficient, the maximum exit thickness and the minimum exit thickness of each intermediate rack during the iteration process. The initial value of the maximum exit thickness of each intermediate rack is the exit thickness of the rack preceding it, and the initial value of the minimum exit thickness of each intermediate rack is the exit thickness of the rack following it.
[0105] Where the relative load factor is greater than the predetermined maximum value:
[0106] H i min =H i
[0107] H i =(H i +H i max ) / 2
[0108] H i min H represents the minimum exit thickness of the i-th intermediate rack. i maxH represents the maximum outlet thickness of the i-th intermediate rack. i Let represent the exit thickness of the i-th intermediate rack, i∈[1,N-1];
[0109] Furthermore, when |H i -H i max |<H limit If the iteration ends, proceed to step S4; otherwise, return to step S2.
[0110] When the relative load factor is less than the predetermined minimum value:
[0111] H i max =H i
[0112] H i =(H i +H i min ) / 2
[0113] Furthermore, when |H i -H i min |<H limit At that time, H limit If the predetermined threshold is reached, the iteration ends and step S4 is executed; otherwise, return to step S2.
[0114] When the relative load factor is greater than or equal to the predetermined minimum value and less than or equal to the predetermined maximum value, the iteration ends and step S4 is executed.
[0115] S4, convert the relative load factor into a unit distance relative to a predetermined ideal value, calculate the distance between the unit distance and the predetermined ideal value, and further calculate the root mean square of this distance; where:
[0116] c i =}b i -1|×1000
[0117]
[0118] c i b represents the distance between a unit distance and a predetermined ideal value. i This represents the relative load factor, and M represents the root mean square (RMS).
[0119] S5. When the root mean square is less than the predetermined value, the loop ends; otherwise, the maximum and minimum exit thicknesses of each intermediate rack are set to the initial values, and the process proceeds to step S2.
[0120] Example 2:
[0121] To improve the product quality of cold rolling mills and overcome the complex Jacobi matrix calculations and inversion operations involved in cold rolling reduction distribution calculations, preventing calculation divergence and the inability to obtain effective results, embodiments of the present invention provide an iterative method for adjusting cold rolling reduction distribution. This method iteratively calculates the exit thickness of each intermediate stand and cyclically determines whether the calculation accuracy requirements are met. Preferably, the cold rolling mill is a five-stand cold rolling mill. Specifically, the method includes:
[0122] S101, Obtain the load balancing method and balancing coefficient of cold continuous rolling;
[0123] Preferably, the load balancing method includes: a method of achieving load balancing based on rolling force, power, or power ratio;
[0124] Preferably, the balance coefficient includes: proportional balance or custom balance;
[0125] Preferably, the load balancing method and balancing coefficient are preset manually based on process experience;
[0126] In one specific embodiment, considering good plate shape and stable production, the load balancing method is selected as rolling force balancing, and the balance coefficient of five-stand continuous rolling is [1.2,1.1,1,1,0.9].
[0127] S201, Obtain production data for strip steel;
[0128] Preferably, the production data includes: basic master data of strip steel, parameters of the model used, roll information and process requirements, specifically including at least: raw material thickness, finished product thickness, width, deformation resistance model coefficient, friction model coefficient, roll diameter of each stand, unit exit speed, unit unit tension regime, etc.
[0129] In one specific embodiment, the production data of the strip steel is shown in Table 1 below.
[0130] Production data items value Raw material thickness 2.5mm Finished product thickness 0.5mm width 1.2m Roll diameter of each stand 390mm, 390mm, 390mm, 390mm, 400mm Unit outlet speed 1000m / min Unit tension system 70MPa,140MPa,145MPa,150MPa,150MPa,50MPa
[0131] Table 1
[0132] S301, determine the initial pressing distribution regime, that is, determine the initial intermediate thickness of each rack in N racks;
[0133] Preferably, the intermediate thickness includes: inlet thickness and outlet thickness;
[0134] The N stands are arranged in a forward direction according to the order of strip entry and exit. The strip enters from the first stand, passes through the N stands in sequence, and exits from the Nth stand. That is, the exit thickness of the previous stand is the entry thickness of the next stand. The N-1 stands other than the Nth stand are the intermediate stands.
[0135] For continuous rolling mills with N stands, the entry thickness of the first stand and the exit thickness of the last stand are the raw material thickness and the target finished product thickness, respectively, so their values are known.
[0136] In one specific embodiment, the initial intermediate thickness of each of the N racks is calculated using the predetermined initial first inlet thickness of the first rack and the predetermined initial first outlet thickness of the last rack, wherein:
[0137] H i =H i-1 ·(H N -H0) 1 / N
[0138] or
[0139] H i =H i-1 -(H0-H N ) / N
[0140] H i-1 H represents the exit thickness of the rack preceding the i-th rack, which is equal to the entrance thickness of the i-th rack. N H represents the initial first outlet thickness, and H0 represents the initial first inlet thickness.
[0141] In one specific embodiment, as shown in Table 1, the initial thickness of the five-stand cold rolling mill is [2.500, 1.812, 1.313, 0.952, 0.690, 0.500], wherein the initial first inlet thickness is 2.500, the initial first outlet thickness is 0.500, and the initial intermediate thicknesses are 1.812, 1.313, 0.952, and 0.690.
[0142] S401, based on the relative load coefficient between each intermediate rack in the intermediate rack, the predetermined maximum value of the relative load coefficient, the predetermined minimum value of the relative load coefficient, and the maximum outlet thickness H of each intermediate rack during the iteration process. i max and minimum outlet thickness H i min To iteratively adjust the exit thickness of the intermediate rack, including:
[0143] Preferably, the initial value of the maximum exit thickness of each intermediate rack is the exit thickness of the rack preceding it, and the initial value of the minimum exit thickness of each intermediate rack is the exit thickness of the rack following it, i.e., H. i max =H i-1 H i min =H i+1 ;
[0144] S402, the outlet velocity of each intermediate rack is calculated based on the principle of equal flow rate per second. This outlet velocity directly affects the friction coefficient.
[0145] V i =V N ·H N / H i
[0146] V i V represents the exit speed of the i-th intermediate rack. N H represents the pre-obtained exit speed of the Nth rack. N H represents the predetermined initial exit thickness of the Nth rack. i This represents the outlet thickness of the i-th intermediate rack.
[0147] S403, calculate the relative load factor between each intermediate rack, where:
[0148] When using rolling force to achieve load balance:
[0149]
[0150] F i F represents the rolling force of the i-th stand. i+1 a represents the rolling force in the next stand after the i-th stand. i Let a represent the balance coefficient of the i-th rack. i+1 This represents the balance coefficient of the rack following the i-th rack;
[0151] When power is used to achieve load balancing:
[0152]
[0153] P i P represents the power of the i-th rack. i+1 This represents the power of the rack following the i-th rack;
[0154] When load balancing is achieved using power ratio:
[0155]
[0156] P i max P represents the maximum power of the i-th rack. i+1 max This represents the maximum power of the rack following the i-th rack;
[0157] The rolling force is obtained through a predetermined calculation model, which is as follows:
[0158]
[0159] h1=Δh+h2
[0160]
[0161]
[0162] α3 = 1.08 - 1.02 · ε
[0163]
[0164] α7=α1·α3+α2
[0165]
[0166] R′=α9 2
[0167]
[0168] F represents the rolling force; h2, h1, C0, and α1~α9 are predetermined temporary variables; μ t v, E, v R and E R For a predetermined constant, in one specific implementation, the value is: μ t =0.7, v=0.3, E=210000, v R =0.3, E R =210000;
[0169] k fm k represents the average deformation resistance calculated using a predetermined deformation resistance model. h This represents the deformation resistance at the frame exit calculated by the deformation resistance model;
[0170] μ represents the coefficient of friction calculated using a predetermined friction model;
[0171] H represents the inlet thickness of the current rack, which is equal to the outlet thickness H of the previous rack. i-1 h represents H i Δh represents the amount of reduction, and ε represents the reduction rate;
[0172] t b The unit tension is represented by t. f Indicates the tension of the first unit;
[0173] R0 represents the original working roll radius, and R′ represents the flattened working roll radius.
[0174] The power is obtained through a predetermined power calculation model, which is as follows:
[0175]
[0176] P represents power, B represents the width of the strip, and T represents the power. B T represents the back tension. F V represents the pretension. r η1 represents the roll speed, η2 represents the reduction ratio, and η3 represents the efficiency coefficient.
[0177] S404, adjust the corresponding outlet thickness according to the relative load coefficient of each intermediate frame;
[0178] a. When the relative load factor is greater than the predetermined maximum value, adjust the minimum exit thickness of the intermediate rack to the current exit thickness, and then increase the current exit thickness according to a predetermined ratio, wherein:
[0179] H i max =H i
[0180] H i =(H i +H i max ) / 2
[0181] H i max H represents the minimum exit thickness of the i-th intermediate rack. i max H represents the maximum outlet thickness of the i-th intermediate rack. i Let represent the exit thickness of the i-th intermediate rack, i∈[1,N-1];
[0182] Furthermore, when |H i +H i max |<H limit At that time, H limit If the predetermined threshold is reached, the iteration ends and step S501 is executed; otherwise, return to step S401.
[0183] Preferably, H limit The value is 0.01;
[0184] In one specific embodiment, for research and analysis purposes, H limit The precision needs to be high enough, so H limit The value is 0.001;
[0185] b. When the relative load factor is less than the predetermined minimum value, adjust the maximum outlet thickness of the intermediate rack to the current outlet thickness, and then reduce the current outlet thickness according to a predetermined ratio, wherein:
[0186] H imax =H i
[0187] H i =(H i +H i min ) / 2
[0188] And, when |H i +H i min |<H limit If the iteration ends, proceed to step S501; otherwise, return to step S401.
[0189] c. When the relative load factor is greater than or equal to the predetermined minimum value and less than or equal to the predetermined maximum value, the iteration ends and step S501 is executed;
[0190] Preferably, the predetermined minimum and maximum values of the relative load factor are obtained by the following formula:
[0191] b i max =1+k1·k2 ite-1
[0192] b i min =1-k1·k2 ite-1
[0193] b i max b represents the predetermined maximum value of the relative load factor. i min The value represents the predetermined minimum value of the relative load coefficient, ite represents the number of iterations, and k1 and k2 represent predetermined constants; in a specific embodiment, k1 is 0.5 and k2 is 0.5.
[0194] S501, convert the relative load factor into a unit distance relative to a predetermined ideal value, calculate the distance between the unit distance and the predetermined ideal value, and further calculate the root mean square of this distance; where:
[0195] c i =|b i -1|×100
[0196] c i b represents the distance between a unit distance and a predetermined ideal value. i This represents the relative load factor, and M represents the root mean square.
[0197] S601, when the root mean square is less than the predetermined value M minIf the condition is met, the loop ends; otherwise, the maximum and minimum exit thicknesses of each intermediate rack are set to their initial values, and the process proceeds to step S401.
[0198] Preferably, the predetermined value M min The value is 0.1.
[0199] In one specific embodiment, the iterative calculation results of the five-stand cold rolling mill using the above method are shown in Table 2 below:
[0200]
[0201] Table 2
[0202] In each iteration of the root mean square (RMS) calculation, the exit thickness of each intermediate stand is iteratively calculated. The initial iteration of the exit thickness of each intermediate stand is relatively fast, and then fine-tuning is performed based on the RMS calculation to deeply mine the exit thickness value. Specifically, taking the 15th iteration as an example, the current exit thickness is calculated using the exit thickness of the previous iteration. That is, the result of iteratively calculating the exit thickness of the four intermediate stands of the five-stand cold continuous rolling mill in step S401 is as follows:
[0203] The outlet thickness of the first intermediate rack, calculated iteratively, is:
[0204] 1.36208147139313,1.48616433106683,1.54820576090368,1.5792264758221,1.59473683328132,1.60249201201092,1.60636960137573,1.60830839605813,1.60927779339933,1.60976249206993,1.61000484140523,1.60988366673758,1.6099442540714,1.60997454773832;
[0205] The outlet thickness of the second intermediate rack, calculated iteratively, is:
[0206] 0.971467651136142,1.04269170159093,1.07830372681833,1.09610973943203,1.10501274573887,1.1094642488923,1.11169000046901,1.11280287625737,1.11335931415155,1.11363753309863,1.11377664257218,1.11370708783541;
[0207] The outlet thickness of the third intermediate rack, calculated iteratively, is:
[0208] 0.719082039723028, 0.774050794974794, 0.801535172600677, 0.815277361413619, 0.822148455820089, 0.825584003023325, 0.827301776624942, 0.828160663425751,0.828590106826156,0.828804828526358,0.828912189376459,0.828858508951408,0.828885349163934,0.828898769270196;
[0209] The outlet thickness of the fourth intermediate rack, calculated iteratively, is:
[0210] 0.554572264609748,0.581858396914622,0.595501463067059,0.602322996143277,0.605733762681386,0.607439145950441,0.608291837584968,0.608718183402232,0.608931356310864,0.60903794276518,0.609091235992338,0.609117882605917,0.609104559299127;
[0211] As shown in the data results above, the calculation accuracy is already very high at this point, and the optimal intermediate thickness of each rack can be found quickly.
[0212] Figure 2 In an embodiment of the present invention, the method for iteratively adjusting the reduction distribution in cold continuous rolling is used to obtain the iterative adjustment curve of the initial intermediate thickness using a reduction distribution strategy with equal reduction amount. Figure 3 In an embodiment of the present invention, the method for iteratively adjusting the reduction distribution in cold continuous rolling is used to obtain the iterative adjustment curve of the initial intermediate thickness using a reduction distribution strategy with equal reduction rate. Figure 4 In an embodiment of the present invention, the method for iteratively adjusting the cold rolling reduction distribution uses a reduction distribution strategy close to the finished product to obtain an iterative adjustment curve of the initial intermediate thickness. Figure 5In an embodiment of the present invention, the method for iteratively adjusting the reduction distribution in cold continuous rolling mills uses a reduction distribution strategy close to the raw material to obtain an iterative adjustment curve of the initial intermediate thickness; this embodiment includes a five-stand cold continuous rolling mill, of which four are intermediate stands.
[0213] like Figure 2 , Figure 3 , Figure 4 as well as Figure 5 As shown, the horizontal axis represents the number of cycles calculated based on the root mean square (RMS) result, and the vertical axis represents the exit thickness. The four curves correspond to the adjustment curves of the four intermediate stands of the five-stand cold rolling mill. After adjustment using the method of this embodiment, the exit thicknesses of each intermediate stand of the five-stand cold rolling mill under different pressure distribution strategies are 1.610, 1.113, 0.829, and 0.609, respectively, and the number of cycles is shown in Table 3 below. That is, the method of this embodiment does not have high requirements for the initial intermediate thickness of each intermediate stand, and different initial intermediate thicknesses do not affect the final result. However, the closer the initial intermediate thickness is to the final result, the fewer the number of cycles.
[0214] Pressurized distribution strategy initial thickness Loop count 1 Isobar reduction 2.100,1.700,1.300,0.900 17 2 Isobaric reduction 1.812,1.313,0.952,0.690 15 3 Close to the finished product 0.700,0.660,0.620,0.580 14 4 Close to raw materials 2.400,2.300,2.200,2.100 19
[0215] Table 3
[0216] Example 3:
[0217] The method described above for a multi-stand main body in this embodiment of the invention can be easily converted for use in a single-stand reversible cold rolling mill. Therefore, this embodiment of the invention provides a method for reduction distribution in a single-stand reversible cold rolling mill. By converting multiple stands into a single-stand multi-pass mill, and intermediate stands into intermediate passes of a single-stand multi-pass mill, the remaining calculation processes can be applied based on the above conversion. That is, the reduction distribution method for a single-stand reversible cold rolling mill in this embodiment has the same inventive concept as the reduction distribution method for a multi-stand reversible cold rolling mill described above. Specifically, the reduction distribution method for a single-stand reversible cold rolling mill in this embodiment includes:
[0218] S1, obtain the initial intermediate thickness of the N predetermined passes of the single stand. The N predetermined passes are arranged in the forward direction according to the order of strip entry and exit. The strip enters from the first pass, enters and exits the N passes in sequence, and exits from the Nth pass. The N-1 passes other than the Nth pass are intermediate passes. The intermediate thickness includes: entry thickness and exit thickness.
[0219] S2, calculate the relative load coefficient between intermediate passes according to the predetermined load balancing method and the predetermined balance coefficient, rolling force, power and maximum power of each intermediate pass in the intermediate passes;
[0220] S3, the exit thickness of the intermediate pass is iteratively adjusted based on the relative load coefficient between each intermediate pass, the predetermined maximum value of the relative load coefficient, the predetermined minimum value of the relative load coefficient, the maximum exit thickness and the minimum exit thickness of each intermediate pass during the iteration process, wherein the initial value of the maximum exit thickness of each intermediate pass is the exit thickness of the previous pass before itself, and the initial value of the minimum exit thickness of each intermediate pass is the exit pass of the next rack after itself.
[0221] Wherein, when the relative load factor is greater than the predetermined maximum value:
[0222] h i min =H i
[0223] H i =(H i +H i max ) / 2
[0224] H i min H represents the minimum exit thickness of the i-th intermediate pass. i max H represents the maximum exit thickness of the i-th intermediate pass. i Let represent the exit thickness of the i-th intermediate pass, i∈[1,N-1];
[0225] Furthermore, when |H i -H i max |<H limit At that time, H limit If the predetermined threshold is reached, the iteration ends and step S4 is executed; otherwise, return to step S2.
[0226] When the relative load factor is less than the predetermined minimum value:
[0227] H i max =H i
[0228] H i =(H i +H i min ) / 2
[0229] Furthermore, when |H i -H i min |<H limit If the iteration ends, proceed to step S4; otherwise, return to step S2.
[0230] When the relative load coefficient is greater than or equal to the predetermined minimum value and less than or equal to the predetermined maximum value, the iteration ends and step S4 is executed.
[0231] S4, convert the relative load factor into a unit distance relative to a predetermined ideal value, calculate the distance between the unit distance and the predetermined ideal value, and further calculate the root mean square of the distance; wherein:
[0232] c i =|b i -1|×100
[0233] c i b represents the distance between the unit distance and the predetermined ideal value. i The relative load factor is represented by M, and the root mean square (RMS) is represented by M.
[0234] S5. When the root mean square is less than a predetermined value, the loop ends; otherwise, the maximum and minimum exit thicknesses of each intermediate pass are set to initial values, and the process proceeds to step S2.
[0235] Example 4:
[0236] The present invention also provides an electronic device, such as... Figure 6 As shown, the electronic device includes a processor 601, a memory 602, a bus 603, and a computer program stored in the memory 602 and executable on the processor 601. The processor 601 includes one or more processing cores. The memory 602 is connected to the processor 601 via the bus 603. The memory 602 is used to store program instructions. When the processor executes the computer program, it implements the steps in the above-described method embodiments of the present invention.
[0237] Furthermore, as an executable solution, the electronic device can be a computer unit, which can be a desktop computer, laptop, handheld computer, cloud server, or other computing device. The computer unit may include, but is not limited to, a processor and memory. Those skilled in the art will understand that the above-described structure of the computer unit is merely an example and does not constitute a limitation on the computer unit. It may include more or fewer components, or combine certain components, or use different components. For example, the computer unit may also include input / output devices, network access devices, buses, etc., and this embodiment of the invention does not limit this.
[0238] Furthermore, as an executable solution, the processor can be a Central Processing Unit (CPU), or other general-purpose processors, digital signal processors (DSPs), application-specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. The general-purpose processor can be a microprocessor or any conventional processor, etc. The processor is the control center of the computer unit, connecting various parts of the entire computer unit via various interfaces and lines.
[0239] The memory can be used to store the computer programs and / or modules. The processor implements various functions of the computer unit by running or executing the computer programs and / or modules stored in the memory and by calling data stored in the memory. The memory may mainly include a program storage area and a data storage area. The program storage area may store the operating system and at least one application program required for a function; the data storage area may store data created based on the use of the mobile phone, etc. In addition, the memory may include high-speed random access memory and may also include non-volatile memory, such as hard disk, RAM, plug-in hard disk, smart media card (SMC), secure digital card (SD), flash card, at least one disk storage device, flash memory device, or other volatile solid-state storage device.
[0240] Although the invention has been specifically shown and described in conjunction with preferred embodiments, those skilled in the art should understand that various changes in form and detail may be made to the invention without departing from the spirit and scope of the invention as defined in the appended claims, all of which shall be within the scope of protection of the invention.
Claims
1. A method of iteratively adjusting the reduction distribution in cold continuous rolling, characterized in that, The method comprises the following steps: S1, obtaining initial intermediate thicknesses of the N stands, the N stands being arranged in a forward direction according to the entering and exiting order of the strip, the strip entering from the first stand, passing through the rolling of the N stands in sequence, and exiting from the Nth stand, N-1 stands among the N stands being intermediate stands, wherein the intermediate thicknesses comprise an entry thickness and an exit thickness; S2, calculating relative load coefficients between the intermediate stands according to a predetermined load balancing mode and predetermined balancing coefficients, rolling forces, and powers of the intermediate stands; S3, iteratively adjusting exit thicknesses of the intermediate stands according to the relative load coefficients between the intermediate stands, a predetermined maximum value of the relative load coefficients, a predetermined minimum value of the relative load coefficients, maximum exit thicknesses and minimum exit thicknesses of the intermediate stands in an iteration process, wherein the initial value of the maximum exit thickness of each intermediate stand is the exit thickness of the stand before it, and the initial value of the minimum exit thickness of each intermediate stand is the exit thickness of the stand after it; wherein, when the relative load coefficient is greater than the predetermined maximum value: H i min =H i H i = (H i + H i max ) / 2 H i min Hmin,i represents the minimum exit thickness of the i-th intermediate bay i max Hmax,i represents the maximum exit thickness of the i-th intermediate bay i Hexit,i represents the exit thickness of the i-th intermediate bay, i ∈ [1, N-1] And, when |H i - H i max | < H limit H limit denotes a predetermined threshold value, the iteration is ended and step S4 is performed; otherwise, step S2 is returned to. when the relative load coefficient is less than the predetermined minimum value: H i max = H i H i = (H i + H i min ) / 2 And, when |H i - H i min | < H limit the iteration is ended and step S4 is performed; otherwise, step S2 is returned to. when the relative load coefficient satisfies greater than or equal to the predetermined minimum value and less than or equal to the predetermined maximum value, ending the iteration and performing step S4; S4, converting the relative load coefficients into unit distances relative to a predetermined ideal value, calculating the distance between the unit distances and the predetermined ideal value, and further calculating the root mean square of the distance; wherein: c i = |b i -1| × 1000 c i denotes the distance between the unit distance and the predetermined ideal value, b i denotes the relative load factor, M denotes the root mean square; S5, when the root mean square is less than a predetermined value, ending the loop; otherwise, setting the maximum exit thickness and the minimum exit thickness of each intermediate stand as the initial values, and returning to step S2.
2. The method for iteratively adjusting the reduction division of cold rolling according to claim 1, characterized in that, The step S2 further comprises: calculating exit speeds of the intermediate stands according to the principle of equal second flow; wherein, V i = V N · H N / H i V i Vout,i represents the exit velocity of the ith intermediate housing N Hout,N represents the pre-acquired exit velocity of the Nth housing N Hout,0 represents the predetermined initial exit thickness of the Nth housing 3. The method for iteratively adjusting the reduction division of cold rolling according to claim 1, characterized in that, Step S1 is: calculating the initial intermediate thicknesses of the N stands through a predetermined initial first entry thickness of the first stand and a predetermined initial first exit thickness of the last stand, wherein: H i = H i-1 • (H N / H0) 1 / N or H i = H i-1 - (H0-H N ) / N H i-1 denotes the exit thickness of the preceding rack at the i-th rack, i.e. the entrance thickness of the i-th rack, H N denotes the first exit thickness, H0denotes the first entrance thickness.
4. The method for iteratively adjusting the reduction division of cold rolling according to claim 1, wherein, In step S2, the predetermined load balancing mode comprises a mode of achieving load balancing according to rolling forces, powers, or power ratios.
5. The method of iteratively adjusting the reduction division of a cold tandem rolling mill of claim 4, wherein, Step S2 comprises: when the rolling forces are used to achieve load balancing: F i represents the rolling force of the i-th stand, F i+1 represents the rolling force of the next stand after the i-th stand, a i represents the balancing factor of the i-th stand, a i+1 represents the balancing factor of the next stand after the i-th stand; when the powers are used to achieve load balancing: P i represents the power of the ith rack, P i+1 represents the power of the rack following the ith rack; when the power ratios are used to achieve load balancing: P i max denotes the maximum power of the i-th rack, P i+1 max denotes the maximum power of the rack following the i-th rack.
6. The method of iteratively adjusting the reduction division of a cold tandem rolling mill of claim 5, wherein, The rolling forces are obtained through a predetermined calculation model, wherein the calculation model is: h1 = Δh + h2 α3 = 1.08 - 1.02·ε α7=α1·α3+α2 R′=α9 2 F denotes the rolling force; h2, hi, Co and a1 to a9 are predetermined temporary variables; μ t , v, E, v R and E R are predetermined constants; k fm represents the average deformation resistance calculated by a predetermined deformation resistance model, k h represents the deformation resistance at the rack outlet calculated by the deformation resistance model; μ represents a friction coefficient calculated through a predetermined friction model; H represents the entry thickness of the current stand, which is equal to the exit thickness H of the previous stand i-1 , h represents H i , Δh represents the reduction, and ε represents the reduction rate; t b represents the back unit tension, t f represents the front unit tension; R0 represents the original work roll radius, and R' represents the flattened work roll radius.
7. The method of iteratively adjusting the reduction division of a cold tandem rolling mill of claim 5, wherein, The powers are obtained through a predetermined power calculation model, wherein the power calculation model is: P represents power, B represents the width of the strip, T B represents the back tension, T F represents the front tension, V r represents the roll speed, η1 represents the speed reduction ratio, η2 represents the efficiency coefficient, R0 represents the original work roll radius, R' represents the flattened work roll radius, F represents the rolling force, and Δh represents the reduction.
8. The method for iteratively adjusting the reduction division of cold rolling according to claim 1, wherein, In the step S3, the predetermined maximum value of the relative load coefficients and the predetermined minimum value of the relative load coefficients are determined by the following formula: b i max = 1 + k1-k2 ite-1 b i min = 1 - k1-k2 ite-1 b i max b represents a predetermined maximum value of the relative load factor, i min b represents a predetermined minimum value of the relative load factor, ite represents the number of iterations, and k1 and k2 represent predetermined constants.
9. A method of roll gap distribution for a single stand reversing cold rolling mill, characterized in that, The method comprises the following steps: S1, obtaining initial intermediate thicknesses of the single stand N predetermined passes, the N predetermined passes being arranged in a forward direction according to the entering and exiting order of the strip, the strip entering from the first pass, exiting from the Nth pass after sequentially passing through the N passes, and N-1 passes among the N predetermined passes being intermediate passes except the Nth pass, wherein the intermediate thicknesses include an entry thickness and an exit thickness; S2, calculating relative load coefficients between the intermediate passes according to a predetermined load balance mode, a predetermined balance coefficient of each intermediate pass among the intermediate passes, rolling force, power and maximum power; S3, iteratively adjusting exit thicknesses of the intermediate passes according to the relative load coefficients between the intermediate passes, a predetermined maximum value of the relative load coefficients, a predetermined minimum value of the relative load coefficients, maximum exit thicknesses of the intermediate passes in each iteration and minimum exit thicknesses of the intermediate passes in each iteration, wherein the initial value of the maximum exit thickness of each intermediate pass is the exit thickness of the previous pass before itself, and the initial value of the minimum exit thickness of each intermediate pass is the exit pass of the next stand after itself; wherein when the relative load coefficient is greater than the predetermined maximum value: H i min =H i H i = (H i + H i max ) / 2 H i min Hmin,i represents the minimum exit thickness of the i-th intermediate pass i max Hmax,i represents the maximum exit thickness of the i-th intermediate pass i Hexit,i represents the exit thickness of the i-th intermediate pass, i ∈ [1, N-1] And, when |H i - H i max | < H limit H limit denotes a predetermined threshold value, the iteration is ended and step S4 is performed; otherwise, step S2 is returned to. when the relative load coefficient is less than the predetermined minimum value: H i max =H i H i = (H i + H i min ) / 2 And, when |H i - H i min | < H limit the iteration is ended and step S4 is performed; otherwise, step S2 is returned to. when the relative load coefficient satisfies greater than or equal to the predetermined minimum value and less than or equal to the predetermined maximum value, ending the iteration and performing step S4; S4, converting the relative load coefficient into unit distance relative to a predetermined ideal value, calculating the distance between the unit distance and the predetermined ideal value, and further calculating the root mean square of the distance; wherein: c i = |b i -1| × 1000 c i denotes the distance between the unit distance and the predetermined ideal value, b i denotes the relative load factor, M denotes the root mean square; S5, when the root mean square is less than a predetermined value, ending the loop; otherwise, setting the maximum exit thickness and the minimum exit thickness of each intermediate pass as the initial value, and turning to step S2.
10. An electronic device, comprising: A computer device comprising a memory and a processor, the memory storing at least one program, the at least one program being executed by the processor to implement the method for iteratively adjusting cold continuous rolling reduction distribution according to any one of claims 1 to 9.
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