CN112765535B - Continuous casting roller array position solid phase rate calculation method - Google Patents
Continuous casting roller array position solid phase rate calculation method Download PDFInfo
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- CN112765535B CN112765535B CN202011451154.4A CN202011451154A CN112765535B CN 112765535 B CN112765535 B CN 112765535B CN 202011451154 A CN202011451154 A CN 202011451154A CN 112765535 B CN112765535 B CN 112765535B
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- 239000007790 solid phase Substances 0.000 title claims abstract description 43
- 238000009749 continuous casting Methods 0.000 title claims abstract description 23
- 238000004364 calculation method Methods 0.000 title abstract description 10
- 238000000034 method Methods 0.000 claims description 14
- 238000005266 casting Methods 0.000 claims description 11
- 238000013178 mathematical model Methods 0.000 abstract description 12
- 238000007711 solidification Methods 0.000 abstract description 10
- 230000008023 solidification Effects 0.000 abstract description 10
- 238000004519 manufacturing process Methods 0.000 abstract description 6
- 238000011946 reduction process Methods 0.000 abstract 1
- 239000007787 solid Substances 0.000 description 6
- 229910000831 Steel Inorganic materials 0.000 description 2
- 238000004458 analytical method Methods 0.000 description 2
- 239000010959 steel Substances 0.000 description 2
- 238000003723 Smelting Methods 0.000 description 1
- 238000009826 distribution Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 230000007613 environmental effect Effects 0.000 description 1
- 238000011835 investigation Methods 0.000 description 1
- 239000007788 liquid Substances 0.000 description 1
- 239000002184 metal Substances 0.000 description 1
- 238000010310 metallurgical process Methods 0.000 description 1
- 238000012821 model calculation Methods 0.000 description 1
- 238000003756 stirring Methods 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
- 230000009466 transformation Effects 0.000 description 1
Classifications
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
- G06F17/12—Simultaneous equations, e.g. systems of linear equations
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B22—CASTING; POWDER METALLURGY
- B22D—CASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
- B22D11/00—Continuous casting of metals, i.e. casting in indefinite lengths
- B22D11/16—Controlling or regulating processes or operations
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/18—Complex mathematical operations for evaluating statistical data, e.g. average values, frequency distributions, probability functions, regression analysis
Abstract
The invention relates to a continuous casting roller row position solid phase rate calculation method, which is characterized in that a parabolic equation of initial central solid phase rate and thickness of a shell is constructed under the condition of knowing the thickness of the shell at the roller row position without using a continuous casting solidification mathematical model, and the central solid phase rate at each roller can be sequentially calculated by utilizing the rule that the central solid phase rate increases linearly with the thickness of the shell. The invention relates to a simplified calculation method based on mass production practice data and fitting of calculation results of continuous casting solidification mathematical models of a plurality of scientific research institutions, which can be widely applied to continuous casting soft reduction process research of square billets and rectangular billets.
Description
Technical Field
The invention belongs to the technical field of metal smelting, and particularly relates to a continuous casting roller array position solid phase rate calculation method.
Background
In the continuous casting process, the temperature and solid phase rate change in the process of solidifying steel from liquid to solid is the most important process parameter, and is also a decisive factor for finally determining the quality of a casting blank, and all the continuous casting operations are to obtain the integral reasonable temperature and solid phase rate distribution of casting flows.
The center solid fraction is an important parameter on which the end electromagnetic stirring must be based for investigation under light pressure. In the actual production process, the temperature and the solid phase rate of a casting blank are difficult to determine due to the complex and changeable steel grade components, the structure of a casting machine, the technological parameters and the external conditions, and the severe field conditions in the continuous casting production bring the difficulty which cannot be overcome to the actual test work. From classical calculation formulas(In the formula, T L is liquidus temperature, T S is solidus temperature, and T is the temperature of the center of the casting blank), and the center solid phase rate is related to the temperature of the center point of the casting blank. The temperature cannot be directly measured and is generally calculated and obtained through a continuous casting solidification mathematical model. However, purchasing a commercial continuous casting solidification mathematical model usually requires a costly fee, and the model also requires tuning to obtain basic physical parameters suitable for the current casting machine, which usually takes months or even years.
Disclosure of Invention
The technical problem to be solved by the invention is to provide a continuous casting roll array position solid phase rate calculation method aiming at the prior art, and the roll array position center solid phase rate can be sequentially calculated under the condition of knowing the thickness of a roll array blank shell through constructing a simple function equation without using a solidification mathematical model.
The invention solves the problems by adopting the following technical scheme: a method for calculating the solid phase rate of the position of a continuous casting roller array is characterized in that fitting regression is carried out on data obtained through a large number of continuous casting production practices and the operation results of continuous casting solidification mathematical models of a plurality of scientific research institutions, so that the method for calculating the solid phase rate of the center of the position of the continuous casting roller array can be simplified without using the continuous casting solidification mathematical models.
The method specifically comprises the following steps: the thickness of the shell at the position of the roll array can be obtained from the position of the point-shaped crack on the low power of the continuous casting billet. The ideal initial center solid fraction at light pressure is defined herein as the virtual initial roller using center solid fraction fs=0.3. By constructing a parabolic equation of the relationship between the central solid fraction and the shell thickness at fs=0.3The shell thickness at the virtual starter roll can be found. The solid phase rate at each roller can be sequentially obtained by utilizing the rule that the central solid phase rate increases linearly with the thickness of the blank shell from the beginning to the end.
The law that the central solid phase rate increases linearly along with the thickness increase of the shell from the beginning to the end is characterized by adopting a change value j of the corresponding solid phase rate Fs of the unit change thickness of the shell, wherein the j value is calculated according to the following formula:
in the above formula: m is the nominal thickness of the cast slab, C' is the shell thickness at the solid phase ratio fs=0.3, and n is the roll train number.
The solid phase ratio Fsn at each roller was calculated from the above-described variation value j according to the following formula.
Fsn＝0.3+(Cn-C＇)×j
C n is the thickness of the shell at the nth roller, fsn is the solid phase rate at the nth roller, and j is the change value of the unit change thickness of the shell corresponding to the solid phase rate Fs.
Compared with the prior art, the invention has the advantages that:
⑴ The method is convenient and quick, and analysis can be completed in half an hour (model calculation usually requires computer operation for several hours);
⑵ The method does not need to add extra cost (a commercial continuous casting solidification mathematical model is usually required to be purchased with a low price), the sample does not need to be prepared additionally, and the analysis can be completely performed on the existing low-power sample of the conventional production casting blank;
⑶ The method can analyze the influence of the solid phase rate and solidification end change caused by the change of a tool, environmental conditions and the like in the same metallurgical process (the mathematical model cannot calculate the difference), thereby properly adjusting the continuous casting process and realizing the expected metallurgical effect.
Drawings
FIG. 1 is a schematic view of shell thickness at the position of a 240 square billet longitudinal low-power point crack measuring roll array in an embodiment of the invention. 1, 2, 3, 4 on the left side are shown to correspond to 1# roller, 2# roller, 3# roller, 4# roller; the right side 72, 84, 102, 119 show that the thickness of the billet shell passing through the 1# roll, the 2# roll, the 3# roll, and the 4# roll when the production is judged from the point-shaped crack on the low power of the billet is 72mm, 84mm, 102mm, and 119mm, respectively.
Detailed Description
The invention is described in further detail below with reference to the embodiments of the drawings.
Examples: a certain 240 Fang Zhupi is shown in the drawing, and the solid phase rate at each roller row is solved.
The thickness of the shell of the 1# to 4# rollers is 72, 84, 102 and 119mm in sequence, which is obtained by measuring the low-power punctiform cracks of the casting blank, and is shown in the figure 1;
Wherein the ideal initial center solid fraction According to the change value formula of the solid phase rate corresponding to the unit change thickness of the blank shell, the change value is obtained
And obtaining the solid phase rate of the center of the blank shell corresponding to the 1# roller to the 4# roller according to the change value, wherein the solid phase rate is as follows:
Fs1＝0.3+(C1-C0.3)×j＝0.3+(72-66)×0.0128＝0.38
Fs2＝0.3+(C2-C0.3)×j＝0.3+(84-66)×0.0128＝0.53
Fs3＝0.3+(C3-C0.3)×j＝0.3+(102-66)×0.0128＝0.77
Fs4＝0.3+(C4-C0.3)×j＝0.3+(119-66)×0.0128＝0.98
i.e. the solid phase ratio at the continuous 4 rolls was 0.38, 0.53, 0.77, 0.98 in this order.
At the same time, the solid phase ratio of the 240 square casting blank at the 1# to 4# rollers calculated according to a solidification mathematical model provided by a scientific research institution is 0.39, 0.53, 0.78 and 1 in sequence.
By comparison, the calculation result of the method is very similar to that of a mathematical model. The method can be used for calculating the solid phase rate of the roller row position instead of a mathematical model.
The above calculation results are summarized in the following table.
In addition to the above embodiments, the present invention also includes other embodiments, and all technical solutions that are formed by equivalent transformation or equivalent substitution should fall within the protection scope of the claims of the present invention.
Claims (1)
1. A method for calculating the solid phase rate of the position of a continuous casting roller array is characterized by comprising the following steps: the method comprises the steps of obtaining the thickness of a shell at a roller row position from a point crack position on a low power of a continuous casting shell, adopting a central solid phase rate Fs=0.3 as an ideal initial central solid phase rate under light pressure, and constructing a parabolic equation of the relation between the central solid phase rate and the shell thickness when Fs=0.3Obtaining the thickness of the shell at the virtual initial roller, and sequentially obtaining the solid phase rate at each roller by utilizing the rule that the central solid phase rate increases linearly with the thickness of the shell from the initial point to the final point;
The law that the central solid phase rate increases linearly along with the thickness increase of the shell from the beginning to the end is characterized by adopting a change value j of the corresponding solid phase rate Fs of the unit change thickness of the shell, wherein the j value is calculated according to the following formula:
In the above formula: m is the nominal thickness of the casting blank, C' is the thickness of the shell when the solid phase ratio fs=0.3, and n is the roll train number;
The solid phase ratio Fsn at each roller is calculated by the above change value j according to the following formula
Fsn＝0.3+(Cn-C＇)×j
C n is the thickness of the shell at the nth roller, fsn is the solid phase rate at the nth roller, and j is the change value of the unit change thickness of the shell corresponding to the solid phase rate Fs.
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| CN101658911A (en) * | 2009-09-14 | 2010-03-03 | 东北大学 | Continuous-casting dynamic soft-reduction pressing quantity on-line control method of large square blank |
| CN102110188A (en) * | 2009-12-25 | 2011-06-29 | 鞍钢股份有限公司 | Method for calculating continuous casting flow temperature and solid phase rate distribution |
| CN109446748A (en) * | 2018-12-28 | 2019-03-08 | 建龙北满特殊钢有限责任公司 | A method of simulation continuous cast round billets process of setting |
| JP2019126811A (en) * | 2018-01-22 | 2019-08-01 | 日本製鉄株式会社 | Method for measuring central solid phase rate of slab |
| CN110181004A (en) * | 2018-04-26 | 2019-08-30 | 江阴兴澄特种钢铁有限公司 | A kind of detection method judging continuous casting and solidifying green shell according to dotted crack position |
| JP2020001064A (en) * | 2018-06-28 | 2020-01-09 | 日本製鉄株式会社 | Central solid phase rate estimation method for continuous cast slab |
| CN110802207A (en) * | 2019-11-12 | 2020-02-18 | 苏州大学 | Combined pressing method for continuous casting billet |
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- 2020-12-10 CN CN202011451154.4A patent/CN112765535B/en active Active
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101658911A (en) * | 2009-09-14 | 2010-03-03 | 东北大学 | Continuous-casting dynamic soft-reduction pressing quantity on-line control method of large square blank |
| CN102110188A (en) * | 2009-12-25 | 2011-06-29 | 鞍钢股份有限公司 | Method for calculating continuous casting flow temperature and solid phase rate distribution |
| JP2019126811A (en) * | 2018-01-22 | 2019-08-01 | 日本製鉄株式会社 | Method for measuring central solid phase rate of slab |
| CN110181004A (en) * | 2018-04-26 | 2019-08-30 | 江阴兴澄特种钢铁有限公司 | A kind of detection method judging continuous casting and solidifying green shell according to dotted crack position |
| JP2020001064A (en) * | 2018-06-28 | 2020-01-09 | 日本製鉄株式会社 | Central solid phase rate estimation method for continuous cast slab |
| CN109446748A (en) * | 2018-12-28 | 2019-03-08 | 建龙北满特殊钢有限责任公司 | A method of simulation continuous cast round billets process of setting |
| CN110802207A (en) * | 2019-11-12 | 2020-02-18 | 苏州大学 | Combined pressing method for continuous casting billet |
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