TW201330944A - Continuous annealing line cooling process parameter regulation method - Google Patents

Continuous annealing line cooling process parameter regulation method Download PDF

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TW201330944A
TW201330944A TW101102356A TW101102356A TW201330944A TW 201330944 A TW201330944 A TW 201330944A TW 101102356 A TW101102356 A TW 101102356A TW 101102356 A TW101102356 A TW 101102356A TW 201330944 A TW201330944 A TW 201330944A
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steel strip
continuous annealing
nozzles
node
annealing line
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TWI435776B (en
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li-wen Wu
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China Steel Corp
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Abstract

The invention relates to a continuous annealing line cooling process parameter regulation method, including the steps of: (a) providing a continuous annealing line gas cooling region to cool a steel strip, in which the continuous annealing line gas cooling region includes a plurality of sub-regions, each of the sub-regions includes a plurality of regularly-arranged nozzles, and any two adjacent nozzles are corresponding to a plurality of node points formed on the steel strip; (b) utilizing heat transfer coefficient of the nozzles and a thermal-resistance thermal-capacity expression of each node point to calculate temperature distribution of the steel strip located between the two nozzles associated with variation in time and taking temperature difference and temperature variation in a width direction of the steel strip as a target function; and (c) minimizing the target function to calculate wind temperature and air-rate of each sub-region.

Description

連續退火線冷卻製程參數調控方法Continuous annealing line cooling process parameter control method

本發明係關於一種製程參數調控方法,特別係關於一種連續退火線冷卻製程參數調控方法。The invention relates to a method for regulating process parameters, in particular to a method for controlling the parameters of a continuous annealing line cooling process.

在煉鋼廠之標準作業中,連續退火線氣冷區之主要功用是用以冷卻鋼帶。習知鋼帶連續退火線氣冷區通常具有數個子區,而鋼帶測溫點一般位於氣冷區出口處,因此,鋼帶冷卻速率僅能以進出口溫差除以經過時間來計算,而各子區之風溫及風量調整則無一定準則。當冷卻風機能力衰減或冷卻水流量與入口溫度出現變化時,風溫及風量均會產生變異,導致冷卻製程參數失準。而冷卻製程參數失準時,不僅會影響子區鋼帶冷卻速率,後段各子區之冷卻製程參數均會產生偏差,其可能造成前段子區鋼帶冷速過快及後段子區鋼帶冷速過慢,嚴重影響鋼帶品質。In the standard operation of the steel mill, the main function of the continuous annealing line air cooling zone is to cool the steel strip. Conventional steel strip continuous annealing line gas cooling zone usually has several sub-zones, and the steel strip temperature measuring point is generally located at the outlet of the air-cooling zone. Therefore, the cooling rate of the steel strip can only be calculated by dividing the inlet and outlet temperature difference by the elapsed time, and each sub-zone There is no certain standard for the wind temperature and air volume adjustment in the area. When the cooling fan capacity is attenuated or the cooling water flow rate and the inlet temperature change, the wind temperature and the air volume will be mutated, resulting in a misalignment of the cooling process parameters. When the cooling process parameters are out of alignment, it will not only affect the cooling rate of the steel strip in the sub-zone, but also the cooling process parameters of the sub-zones in the latter section will be biased, which may cause the cooling speed of the steel strip in the front section to be too fast and the cooling speed of the steel strip in the latter section. Too slow, seriously affecting the quality of the steel strip.

有鑑於此,有必要提供一創新且具進步性之連續退火線冷卻製程參數調控方法,以解決上述問題。In view of this, it is necessary to provide an innovative and progressive continuous annealing line cooling process parameter control method to solve the above problems.

本發明提供一種連續退火線冷卻製程參數調控方法,該方法包括以下步驟:(a)提供一連續退火線氣冷區,該連續退火線氣冷區係用以冷卻一鋼帶,該連續退火線氣冷區具有複數個子區,各該子區係設有複數個規則排列之噴嘴,且任意兩相鄰之噴嘴係對應該鋼帶上之複數個節點;(b)利用該些噴嘴之熱傳係數及各該節點之熱阻-熱容運算式計算出該鋼帶於兩噴嘴間隨時間變化之溫度分佈,並以鋼帶寬度方向溫差及溫度變化為目標函數;以及(c)最小化該目標函數以計算出各該子區之風溫及風量控制值。The invention provides a method for controlling a continuous annealing line cooling process parameter, the method comprising the steps of: (a) providing a continuous annealing line air cooling zone, wherein the continuous annealing line air cooling zone is for cooling a steel strip, the continuous annealing line The air-cooling zone has a plurality of sub-zones, each of which is provided with a plurality of regularly arranged nozzles, and any two adjacent nozzles correspond to a plurality of nodes on the steel strip; (b) heat transfer using the nozzles The coefficient and the thermal resistance-heat capacity calculation formula of each node calculate the temperature distribution of the steel strip with time between the two nozzles, and take the temperature difference and temperature change of the strip width direction as an objective function; and (c) minimize the The objective function calculates the wind temperature and air volume control values for each of the sub-zones.

本發明係利用鋼帶暫態熱傳計算方法,進行鋼帶冷卻過程溫度分佈計算,並以鋼帶寬度方向溫差及溫度變化為目標函數,在滿足鋼帶線速、入口溫度及出口溫度條件下,利用最佳化方法求得各該子區之風溫及風量控制值,而該些控制值可用以穩定控制鋼帶冷卻過程中各該子區之冷卻速率,進而可提升鋼帶品質。The invention utilizes the calculation method of the transient heat transfer of the steel strip to calculate the temperature distribution of the steel strip cooling process, and takes the temperature difference of the strip width direction and the temperature change as the objective function, under the condition of satisfying the wire speed, the inlet temperature and the outlet temperature of the steel strip. The optimization method is used to obtain the wind temperature and air volume control values of the sub-zones, and the control values can be used to stably control the cooling rate of each sub-zone during the cooling process of the steel strip, thereby improving the quality of the steel strip.

圖1顯示本發明連續退火線冷卻製程參數調控方法之流程圖。圖2顯示本發明連續退火線氣冷區之結構示意圖。圖3顯示本發明鋼帶經由沖擊射流冷卻示意圖。圖4顯示本發明噴嘴及鋼帶上節點之相對位置示意圖。請配合參閱圖1之步驟S11、圖2及圖4,提供一連續退火線氣冷區20,該連續退火線氣冷區20係用以冷卻一鋼帶30,該連續退火線氣冷區20具有複數個子區21,各該子區21係設有複數個規則排列之噴嘴J,且任意兩相鄰之噴嘴J係對應該鋼帶30上之複數個節點N,如圖4所示,本實施例係分成7個節點N,並以熱阻與其相鄰節點相連。在本實施例中,若節點N的內能表示成比熱與溫度的函數,則其隨時間的改變速率近似於:Figure 1 is a flow chart showing the method for controlling the parameters of the continuous annealing line cooling process of the present invention. Fig. 2 is a view showing the structure of the continuous annealing line air-cooling zone of the present invention. Figure 3 shows a schematic view of the cooling of the steel strip of the present invention via an impinging jet. Figure 4 is a schematic view showing the relative positions of the nozzles on the nozzle and the steel strip of the present invention. Referring to step S11, FIG. 2 and FIG. 4 of FIG. 1 , a continuous annealing line air cooling zone 20 is provided. The continuous annealing line air cooling zone 20 is used for cooling a steel strip 30, and the continuous annealing line air cooling zone 20 There are a plurality of sub-areas 21, each of which is provided with a plurality of regularly arranged nozzles J, and any two adjacent nozzles J are corresponding to a plurality of nodes N on the steel strip 30, as shown in FIG. The embodiment is divided into 7 nodes N and connected to its neighbors by thermal resistance. In this embodiment, if the internal energy of the node N is expressed as a function of specific heat and temperature, its rate of change over time is approximately:

其中ΔE為鋼帶能量增量,ΔV為體積元素,Δτ為時間增量,T為溫度,下標i為位置指標,上標k為時間指標,ρ為鋼帶密度,c為鋼帶比熱。在本實施例中,當定義熱容C i i c i ΔV i 時,各該節點N之熱阻-熱容運算式係為Where Δ E is the energy increment of the steel strip, Δ V is the volume element, Δτ is the time increment, T is the temperature, subscript i is the position index, superscript k is the time index, ρ is the steel strip density, c is the steel strip More than heat. In this embodiment, when the heat capacity C i = ρ i c i Δ V i is defined, the thermal resistance-heat capacity calculation formula of each node N is

其中下標i為第一位置指標,下標j為第二位置指標,R ij 為熱阻。在本實施例中,下標j為鋼帶上節點時,R ij 為節點i與其相鄰之鋼帶上節點之熱阻,其熱阻表示式為R i +=R i -=,其中e為鋼帶熱傳導係數,ΔW為鋼帶長度方向之單位長度,Δx為節點間距,t為鋼帶厚度;而下標j為對流環境時,R ij 為節點i與其相鄰之對流環境之熱阻,其熱阻表示式為R =,其中h為流場之熱對流係數。The subscript i is the first position indicator, the subscript j is the second position indicator, and R ij is the thermal resistance. In this embodiment, when the subscript j is a node on the steel strip, R ij is the thermal resistance of the node on the node i and its adjacent steel strip, and the thermal resistance is expressed as R i + = R i - = Where e is the thermal conductivity of the steel strip, Δ W is the unit length of the length of the steel strip, Δ x is the joint spacing, t is the thickness of the steel strip; and when the subscript j is the convective environment, R ij is the node i and its adjacent The thermal resistance of the convective environment is expressed as R = Where h is the thermal convection coefficient of the flow field.

請配合參閱圖1之步驟S12、圖3及圖4,利用該些噴嘴J之熱傳係數及各該節點N之熱阻-熱容運算式計算出該鋼帶30於兩噴嘴J間隨時間變化之溫度分佈,並以最大子區出口鋼帶寬度方向溫差及溫度變化為目標函數。在本實施例中,該些噴嘴J之熱傳係數係用以計算出熱對流係數h,而熱對流係數h之計算式係為Referring to step S12, FIG. 3 and FIG. 4 of FIG. 1 , the heat transfer coefficient of the nozzles J and the thermal resistance-heat capacity calculation formula of each node N are used to calculate the steel strip 30 between the two nozzles J. The temperature distribution of the change is taken as the objective function of the temperature difference and temperature change in the width direction of the largest sub-zone outlet strip. In this embodiment, the heat transfer coefficient of the nozzles J is used to calculate the heat convection coefficient h , and the calculation formula of the heat convection coefficient h is

Nu stag =0.641 Re0.566(H/D)-0.078 Nu stag =0.641 Re 0.566 ( H/D ) -0.078 ,

Nu average =0.993 Re0.625(H/D)-0.625(s/D)-0.375 Nu average = 0.993 Re 0.625 (H / D) -0.625 (s / D) -0.375,

其中e為鋼帶熱傳導係數,H為噴嘴高度(mm),D為噴嘴直徑(mm),s為噴嘴間距(mm),Nu stag 為沖擊射流停滯區之納塞數(Nusselt number),Nu average 為沖擊流場之平均納塞數。又,在本實施例中,該鋼帶之溫度分佈可經由熱對流係數h及各該節點N之熱阻-熱容運算式計算求得,而該目標函數之表示式係為Where e is the heat transfer coefficient of the steel strip, H is the nozzle height (mm), D is the nozzle diameter (mm), s is the nozzle spacing (mm), Nu stag is the number of the nappe of the impinging jet stagnation zone (Nusselt number), Nu average The average number of nano-plugs for the impinging flow field. Moreover, in this embodiment, the temperature distribution of the steel strip can be obtained by calculating the thermal convection coefficient h and the thermal resistance-heat capacity calculation formula of each node N, and the expression of the objective function is

其中ab為權重係數,l為子區編號,s為噴嘴間距。Where a and b are weight coefficients, l is the sub-area number, and s is the nozzle spacing.

請配合參閱圖1之步驟S13及圖2,最小化該目標函數以計算出各該子區21之風溫及風量控制值,在本實施例中,最小化該目標函數之方法係可為規劃求解或急遽遞減法。Referring to step S13 and FIG. 2 of FIG. 1 , the objective function is minimized to calculate the wind temperature and air volume control values of each sub-area 21 . In this embodiment, the method for minimizing the objective function may be planned. Solve or rush diminishing.

本發明利用數值熱傳法計算鋼帶冷卻過程溫度分佈,且以鋼帶寬度方向溫差及溫度變化為目標函數,在滿足鋼帶線速、入口溫度及出口溫度條件下,利用最佳化方法求得各該子區之風溫及風量控制值,而該些控制值可用以穩定控制鋼帶冷卻過程中各該子區之冷卻速率,進而可提升鋼帶品質。The invention uses the numerical heat transfer method to calculate the temperature distribution of the cooling process of the steel strip, and takes the temperature difference and the temperature change in the width direction of the steel strip as the objective function, and uses the optimization method to satisfy the condition of the wire speed, the inlet temperature and the outlet temperature of the steel strip. The wind temperature and air volume control values of each sub-zone are obtained, and the control values can be used to stably control the cooling rate of each sub-zone during the cooling process of the steel strip, thereby improving the quality of the steel strip.

上述實施例僅為說明本發明之原理及其功效,並非限制本發明,因此習於此技術之人士對上述實施例進行修改及變化仍不脫本發明之精神。本發明之權利範圍應如後述之申請專利範圍所列。The above embodiments are merely illustrative of the principles and effects of the present invention, and are not intended to limit the scope of the present invention. The scope of the invention should be as set forth in the appended claims.

20...連續退火線氣冷區20. . . Continuous annealing line air cooling zone

21...子區twenty one. . . Subzone

30...鋼帶30. . . Steel strip

D...噴嘴直徑D. . . Nozzle diameter

H...噴嘴高度H. . . Nozzle height

J...噴嘴J. . . nozzle

N...節點N. . . node

s...噴嘴間距s. . . Nozzle spacing

圖1顯示本發明連續退火線冷卻製程參數調控方法之流程圖;1 is a flow chart showing a method for controlling a cooling annealing process parameter of the continuous annealing line of the present invention;

圖2顯示本發明連續退火線氣冷區之結構示意圖;2 is a schematic view showing the structure of a continuous annealing line gas cooling zone of the present invention;

圖3顯示本發明鋼帶經由沖擊射流冷卻示意圖;及Figure 3 is a schematic view showing the cooling of the steel strip of the present invention via an impinging jet;

圖4顯示本發明噴嘴及鋼帶上節點之相對位置示意圖。Figure 4 is a schematic view showing the relative positions of the nozzles on the nozzle and the steel strip of the present invention.

(無元件符號說明)(no component symbol description)

Claims (9)

一種連續退火線冷卻製程參數調控方法,該方法包括以下步驟:(a) 提供一連續退火線氣冷區,該連續退火線氣冷區係用以冷卻一鋼帶,該連續退火線氣冷區具有複數個子區,各該子區係設有複數個規則排列之噴嘴,且任意兩相鄰之噴嘴係對應該鋼帶上之複數個節點;(b) 利用該些噴嘴之熱傳係數及各該節點之熱阻-熱容運算式計算出該鋼帶於兩噴嘴間隨時間變化之溫度分佈,並以鋼帶寬度方向溫差及溫度變化為目標函數;以及(c) 最小化該目標函數以計算出各該子區之風溫及風量控制值。A continuous annealing line cooling process parameter control method comprises the following steps: (a) providing a continuous annealing line air cooling zone, wherein the continuous annealing line air cooling zone is used for cooling a steel strip, the continuous annealing line air cooling zone Having a plurality of sub-areas, each of the sub-areas is provided with a plurality of regularly arranged nozzles, and any two adjacent nozzles are corresponding to a plurality of nodes on the steel strip; (b) utilizing heat transfer coefficients of the nozzles and each The thermal resistance-heat capacity calculation formula of the node calculates the temperature distribution of the steel strip with time between the two nozzles, and takes the temperature difference and temperature change of the strip width direction as an objective function; and (c) minimizes the objective function The wind temperature and air volume control values for each sub-zone are calculated. 如請求項1之方法,其中在步驟(b)中各該節點之熱阻-熱容運算式係為 其中T為溫度,下標i為第一位置指標,下標j為第二位置指標,上標k為時間指標,Δτ為時間增量,R ij 為熱阻,C i 為熱容。The method of claim 1, wherein the thermal resistance-heat capacity equation of each node in step (b) is Where T is temperature, subscript i is the first position index, subscript j is the second position index, superscript k is the time index, Δτ is the time increment, R ij is the thermal resistance, and C i is the heat capacity. 如請求項2之方法,其中下標j為鋼帶上節點時,R ij 為節點i與其相鄰之鋼帶上節點之熱阻,其熱阻表示式為R i +=R i -=,其中e為鋼帶熱傳導係數,ΔW為鋼帶長度方向之單位長度,Δx為節點間距,t為鋼帶厚度。The method of claim 2, wherein when the subscript j is a node on the steel strip, R ij is a thermal resistance of the node i and the node on the adjacent steel strip, and the thermal resistance is expressed by R i + = R i - = Where e is the heat transfer coefficient of the steel strip, Δ W is the unit length of the length of the steel strip, Δ x is the joint pitch, and t is the thickness of the steel strip. 如請求項2之方法,其中下標j為對流環境時,R ij 為節點i與其相鄰之對流環境之熱阻,其熱阻表示式為R =,其中h為流場之熱對流係數,ΔW為鋼帶長度方向之單位長度,Δx為節點間距。For the method of claim 2, wherein the subscript j is a convection environment, R ij is the thermal resistance of the node i and its adjacent convection environment, and the thermal resistance is expressed as R = Where h is the thermal convection coefficient of the flow field, Δ W is the unit length of the length of the steel strip, and Δ x is the node spacing. 如請求項4之方法,其中在步驟(b)中該些噴嘴之熱傳係數係用以計算出熱對流係數h,而熱對流係數h之計算式係為Nu stag =0.641 Re0.566(H/D)-0.078Nu average =0.993 Re0.625(H/D)-0.625(s/D)-0.375 其中e為鋼帶熱傳導係數,H為噴嘴高度,D為噴嘴直徑,s為噴嘴間距,Nu stag 為沖擊射流停滯區之納塞數(Nusselt number),Nu average 為沖擊流場之平均納塞數。The method of claim 4, wherein in the step (b), the heat transfer coefficients of the nozzles are used to calculate the heat convection coefficient h , and the heat convection coefficient h is calculated as Nu stag =0.641 Re 0.566 ( H/ D) -0.078, Nu average = 0.993 Re 0.625 (H / D) -0.625 (s / D) -0.375, Where e is the heat transfer coefficient of the steel strip, H is the nozzle height, D is the nozzle diameter, s is the nozzle spacing, Nu stag is the Nusselt number of the impinging jet stagnation zone, and Nu average is the average number of nano-plugs of the impinging flow field . 如請求項5之方法,其中在步驟(b)中該鋼帶之溫度分佈可經由熱對流係數h及各該節點之熱阻-熱容運算式計算求得。The method of claim 5, wherein the temperature distribution of the steel strip in step (b) is obtained by calculating a thermal convection coefficient h and a thermal resistance-heat capacity calculation of each of the nodes. 如請求項6之方法,其中在步驟(b)中該目標函數之表示式係為 其中ab為權重係數,l為子區編號,s為噴嘴間距。The method of claim 6, wherein the representation of the objective function in step (b) is Where a and b are weight coefficients, l is the sub-area number, and s is the nozzle spacing. 如請求項1之方法,其中在步驟(c)中最小化該目標函數之方法係為規劃求解。The method of claim 1, wherein the method of minimizing the objective function in step (c) is a solution. 如請求項1之方法,其中在步驟(c)中最小化該目標函數之方法係為急遽遞減法。The method of claim 1, wherein the method of minimizing the objective function in the step (c) is an emergency diminishing method.
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111154965A (en) * 2020-01-06 2020-05-15 宝钢湛江钢铁有限公司 Calculation method suitable for strip steel temperature of rapid cooling section of continuous annealing unit

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111154965A (en) * 2020-01-06 2020-05-15 宝钢湛江钢铁有限公司 Calculation method suitable for strip steel temperature of rapid cooling section of continuous annealing unit

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