TW202134612A - Monitoring method for agglomeration on inner wall of blast furnace - Google Patents

Monitoring method for agglomeration on inner wall of blast furnace Download PDF

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TW202134612A
TW202134612A TW109108255A TW109108255A TW202134612A TW 202134612 A TW202134612 A TW 202134612A TW 109108255 A TW109108255 A TW 109108255A TW 109108255 A TW109108255 A TW 109108255A TW 202134612 A TW202134612 A TW 202134612A
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temperature
furnace
thickness
lining
control volume
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TWI728743B (en
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吳耑熠
林億男
鄭霓鴻
林榮宗
蘇育仁
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中國鋼鐵股份有限公司
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Abstract

A monitoring method for agglomeration on inner wall of blast furnace is disclosed. A control volume having symmetrical surfaces is selected from a furnace body according to local symmetry of the furnace body. A grid temperature model of grids is established by using formulas, and the formulas are solved by a numerical method to obtain temperatures of the grids. A k value is adjusted by a lining thickness, an interior temperature of the furnace body, and a first sensed temperature to obtain a modified grid temperature model. A highest sensed temperature of a temperature sensor is obtained, and the highest sensed temperature and an interior temperature are applied to the modified grid temperature model to obtain a lining residual thickness. The lining residual thickness, a second sensed temperature, and an interior temperature are applied to the modified grid temperature model to obtain an agglomeration-layer thickness.

Description

高爐內壁結塊之監視方法Monitoring method for agglomeration of inner wall of blast furnace

本揭露實施例是有關於一種高爐之監視方法,且特別是有關於一種高爐內壁結塊之監視方法。The disclosed embodiment relates to a monitoring method of a blast furnace, and particularly relates to a monitoring method of agglomeration of the inner wall of the blast furnace.

為了因應高爐爐身內部之高溫氣體的沖刷以及下降爐料的磨耗,一般在鐵殼之內側安裝內襯及冷卻系統。操作中受到冷卻系統的冷卻作用,於爐身內壁之熱面會形成結垢層。適當厚度的結垢層對內襯壽命與能源節省有正面的作用。但是若結垢層過厚,則形成所謂的爐壁結塊,反而對鐵水產量及內襯壽命有負面影響。大型結塊一旦形成,欲將之去除得大費一番工夫,且效果未卜。故,上策應防範爐壁異常結塊發生。In order to cope with the scouring of the high temperature gas inside the blast furnace body and reduce the wear of the charge, the inner lining and cooling system are generally installed on the inner side of the iron shell. During operation, the cooling effect of the cooling system will form a fouling layer on the hot surface of the inner wall of the furnace body. An appropriate thickness of the fouling layer has a positive effect on the life of the lining and energy saving. However, if the fouling layer is too thick, the so-called furnace wall agglomeration will be formed, which will adversely affect the production of molten iron and the life of the lining. Once large agglomerates are formed, it takes a lot of work to remove them, and the effect is uncertain. Therefore, the best policy should prevent the occurrence of abnormal agglomeration of the furnace wall.

目前欲掌握高爐爐身結塊狀況,有兩種最常用的方法。第一種方法是直接量測,其係利用高爐定修停爐時,從壓力測點直接量測內襯殘厚。但此種方法有下列缺點。定修停爐間隔數個月,所以數據量很少,以致無法即時獲知結塊成長情形,而且無法分辨是否有結垢層存在。壓力測點少,因此僅能獲知局部位置的情況。壓力測點有時會有凝鐵以致無法進行測量。At present, there are two most commonly used methods to grasp the agglomeration status of the blast furnace body. The first method is direct measurement, which uses the pressure measurement point to directly measure the residual thickness of the inner lining when the blast furnace is regularly repaired and shut down. However, this method has the following disadvantages. The interval between maintenance and shutdown of the furnace is several months, so the amount of data is very small, so that it is impossible to know the growth of agglomeration in real time, and it is impossible to distinguish whether there is a scaling layer. There are few pressure measuring points, so only the local position can be known. The pressure measuring point sometimes has iron condensed to make the measurement impossible.

第二種方法為間接推斷法,其係利用爐壁溫度及熱負荷來間接判斷,藉由高爐建構時預埋在爐壁之熱電耦所測的溫度、或是利用通過爐壁冷卻元件之冷卻水的進出水溫,來計算所帶走的熱量(即所謂的熱負荷)。若所量測的溫度低或熱負荷低,則定性判斷有爐壁結塊情形。但此種方法有下列缺點。爐壁溫度及熱負荷會受到內襯厚度、爐內溫度、爐內結垢層厚度、以及冷卻水溫度與流量的影響若將溫度降低完全歸因於結垢層厚度所造成的,很容易產生誤判。隨著結垢層厚度的增加,爐壁溫度變化越顯得不敏感,對結塊生成的掌握有困難。高爐的不同位置有不同的蝕耗機制,所選用的內襯材質及冷卻元件之配置也不同,即使在同樣的內襯殘厚以及相同之結垢層厚度的情況下,所呈現的溫度測值及熱負荷也不同,因此由溫度及熱負荷間接判斷是有盲點的。無法定量掌握內襯殘厚與結垢層厚度。The second method is the indirect inference method, which uses the furnace wall temperature and thermal load to indirectly determine the temperature measured by the thermocouple embedded in the furnace wall during the construction of the blast furnace, or the cooling by cooling elements through the furnace wall The incoming and outgoing water temperature is used to calculate the heat taken away (the so-called heat load). If the measured temperature is low or the heat load is low, it is qualitatively judged that there is agglomeration of the furnace wall. However, this method has the following disadvantages. The furnace wall temperature and heat load will be affected by the thickness of the lining, the temperature in the furnace, the thickness of the scale layer in the furnace, and the temperature and flow of the cooling water. If the temperature drop is completely attributed to the thickness of the scale layer, it is easy to produce Misjudgment. As the thickness of the fouling layer increases, the temperature of the furnace wall becomes more insensitive, and it is difficult to control the formation of agglomerates. Different locations of the blast furnace have different erosion mechanisms, the selected lining material and the configuration of the cooling elements are also different, even under the same residual thickness of the lining and the same thickness of the fouling layer, the temperature measurement value presented And heat load is also different, so there are blind spots in indirect judgment from temperature and heat load. The residual thickness of the lining and the thickness of the fouling layer cannot be quantitatively grasped.

由於爐壁結塊對高爐的操作穩定性及鐵水產能影響甚鉅,因而若在高爐操作中缺乏有效且準確的結垢層監視方法,則無法防範爐壁異常結塊於未然,只能等到爐壁溫度測點或熱負荷已相當低,呈現已結塊的明顯表徵才能感知,為時己晚。Because the agglomeration of the furnace wall has a great influence on the operation stability of the blast furnace and the production capacity of molten iron, if there is no effective and accurate method for monitoring the scale layer in the operation of the blast furnace, it will not be possible to prevent abnormal agglomeration of the furnace wall in the first place. The temperature measurement point or heat load on the furnace wall is already quite low, and it is too late to feel the obvious signs of agglomeration.

本揭露之目的在於提出一種高爐內壁結塊之監視方法,能以控制體積、數值求解法、及所感測的溫度來監視高爐內壁的結塊情形,以適時採取因應措施。The purpose of this disclosure is to provide a method for monitoring the agglomeration of the inner wall of a blast furnace, which can monitor the agglomeration of the inner wall of the blast furnace by controlling the volume, numerical solution, and sensed temperature, so as to take appropriate measures in time.

根據上述目的,本揭露實施例提供一種高爐內壁結塊之監視方法,其中高爐包含爐身及複數個溫度感測器,爐身包含鐵殼及內襯,內襯設於鐵殼之內周緣,溫度感測器穿設於爐身中。在監視方法中,依據爐身之局部對稱性,且對應溫度感測器之一者自爐身選取控制體積,控制體積具有複數個對稱面。將控制體積分成數個格點,使用式(1)至式(4)來建立格點之格點溫度模型,並用數值求解法來求解式(1)至式(4),以得到格點之溫度。

Figure 02_image001
(1)、當x=X0 時,T=Tm (2)、當x=Xn 時,T=Ta (3)、以及
Figure 02_image003
(4)。在上述式子中,k為控制體積之熱傳導係數,X0 為控制體積所對應之爐身之內壁面之x座標,Tm 為控制體積所對應之爐內溫度,Xn 為控制體積所對應之爐身之外壁面之x座標,Ta 為控制體積所對應之空氣溫度,n為對稱面之法線方向。以第一時間所對應之內襯厚度值、第一時間所對應之第一爐內溫度、及第一時間所對應之溫度感測器所感測之第一感測溫度來調整式(1)之k值,以得到修正格點溫度模型。取得對應控制體積之溫度感測器所感測到之最高感測溫度,並將最高感測溫度及最高感測溫度之感測時間所對應之爐內溫度應用於修正格點溫度模型,以得到控制體積所對應之內襯殘厚值。將內襯殘厚值、第二時間所對應之溫度感測器所感測之第二感測溫度、及第二時間所對應之第二爐內溫度應用於修正格點溫度模型,以得到控制體積所對應之結垢層厚度。According to the above objective, the disclosed embodiment provides a method for monitoring the agglomeration of the inner wall of a blast furnace. The blast furnace includes a furnace body and a plurality of temperature sensors. , The temperature sensor is installed in the furnace body. In the monitoring method, the control volume is selected from the furnace body according to the local symmetry of the furnace body, and one of the temperature sensors corresponds to the control volume, and the control volume has a plurality of symmetry planes. Divide the control volume into several grid points, use equations (1) to (4) to establish a grid point temperature model, and use a numerical solution method to solve equations (1) to (4) to obtain the grid points temperature.
Figure 02_image001
(1) When x=X 0 , T=T m (2), when x=X n , T=T a (3), and
Figure 02_image003
(4). In the above formula, k is the heat transfer coefficient of the control volume, X 0 is the x coordinate of the inner wall surface of the furnace body corresponding to the control volume, T m is the temperature in the furnace corresponding to the control volume, and X n is the control volume corresponding the outside wall of the furnace body coordinates x, T a volume corresponding to the control of air temperature, n the normal direction of the plane of symmetry. Adjust the formula (1) by using the lining thickness value corresponding to the first time, the first furnace temperature corresponding to the first time, and the first sensing temperature sensed by the temperature sensor corresponding to the first time k value to get the modified grid point temperature model. Obtain the highest sensed temperature sensed by the temperature sensor corresponding to the control volume, and apply the temperature in the furnace corresponding to the highest sensed temperature and the sensing time of the highest sensed temperature to the modified grid temperature model to obtain control The residual thickness of the inner lining corresponding to the volume. Apply the lining residual thickness value, the second sensing temperature sensed by the temperature sensor corresponding to the second time, and the second furnace temperature corresponding to the second time to the modified grid temperature model to obtain the control volume The thickness of the corresponding fouling layer.

在一些實施例中,爐身進一步包含複數個冷卻板。冷卻板設於內襯中。爐身之局部對稱性係冷卻板之局部對稱性,且控制體積係由冷卻板之相鄰二者定義。In some embodiments, the furnace shaft further includes a plurality of cooling plates. The cooling plate is arranged in the inner lining. The local symmetry of the furnace body is the local symmetry of the cooling plate, and the control volume is defined by the adjacent two of the cooling plate.

在一些實施例中,利用數值求解法求解之步驟包含進行疊代計算直至每一格點之連續二次計算所得的溫度之差低於閥值。In some embodiments, the step of using a numerical solution method to solve the problem includes performing iterative calculations until the temperature difference between successive two calculations at each grid point is lower than a threshold.

在一些實施例中,數值求解法為差分法。In some embodiments, the numerical solution method is a difference method.

在一些實施例中,調整式(1)之k值包含調整k值,直到溫度感測器之溫度感測位置之計算溫度與第一感測溫度相同。In some embodiments, adjusting the value of k in equation (1) includes adjusting the value of k until the calculated temperature of the temperature sensing position of the temperature sensor is the same as the first sensing temperature.

在一些實施例中,將最高感測溫度及最高感測溫度之感測時間所對應之爐內溫度應用於修正格點溫度模型包含:依據不同的模擬爐內溫度與不同的模擬內襯殘厚值來計算溫度感測器之溫度感測位置之數個計算溫度,以得到在不同的模擬爐內溫度下,計算溫度與模擬內襯殘厚值之關係的曲線;用三次以上之多項式分別模擬此些曲線;以及將溫度感測器所感測到之最高感測溫度代入最高感測溫度之感測時間所對應之爐內溫度所對應之多項式,以得到控制體積所對應之內襯殘厚值。In some embodiments, applying the furnace temperature corresponding to the highest sensed temperature and the sensing time of the highest sensed temperature to the modified grid point temperature model includes: according to different simulated furnace temperatures and different simulated lining residual thicknesses Calculate the calculated temperature of the temperature sensing position of the temperature sensor to obtain the curve of the relationship between the calculated temperature and the residual thickness of the simulated lining at different simulated furnace temperatures; simulate separately with more than three polynomials These curves; and substituting the highest sensing temperature sensed by the temperature sensor into the polynomial corresponding to the furnace temperature corresponding to the sensing time of the highest sensing temperature to obtain the residual thickness value of the lining corresponding to the control volume .

在一些實施例中,將內襯殘厚值、第二感測溫度、及第二爐內溫度應用於修正格點溫度模型包含:依據不同的模擬爐內溫度、不同的模擬蝕耗厚度、與不同的模擬結垢層厚度來計算溫度感測器之溫度感測位置之數個計算溫度,以得到在不同的模擬爐內溫度與不同的模擬蝕耗厚度下,計算溫度與模擬結垢層厚度之關係的曲線;用三次以上之多項式分別模擬此些曲線;以及將第二感測溫度代入內襯殘厚值與第二爐內溫度所對應之多項式,以得到控制體積所對應之結垢層厚度。In some embodiments, applying the inner lining residual thickness value, the second sensed temperature, and the second furnace temperature to the modified grid point temperature model includes: according to different simulated furnace temperature, different simulated erosion thickness, and Different simulated fouling layer thicknesses are used to calculate several calculated temperatures at the temperature sensing position of the temperature sensor to obtain the calculated temperature and simulated fouling layer thickness under different simulated furnace temperatures and different simulated erosion thicknesses The curve of the relationship; simulate these curves with three or more polynomials; and substitute the second sensing temperature into the polynomial corresponding to the lining residual thickness value and the second furnace temperature to obtain the scaled layer corresponding to the control volume thickness.

在一些實施例中,高爐內壁結塊之監視方法進一步包含當結垢層厚度超過閥值時,發出警示訊號。In some embodiments, the method for monitoring the agglomeration of the inner wall of the blast furnace further includes issuing a warning signal when the thickness of the fouling layer exceeds a threshold value.

在一些實施例中,高爐內壁結塊之監視方法進一步包含顯示監視畫面,其中監視畫面包含此些溫度感測器所對應之控制體積之平面展開圖,並以不同顏色代表控制體積所對應之結垢層厚度的大小。In some embodiments, the method for monitoring the agglomeration of the inner wall of the blast furnace further includes displaying a monitoring screen, wherein the monitoring screen includes a planar expansion view of the control volume corresponding to the temperature sensors, and different colors represent the corresponding control volume The size of the thickness of the fouling layer.

在一些實施例中,高爐內壁結塊之監視方法進一步包含依時間順序播放不同時間所對應之平面展開圖。In some embodiments, the method for monitoring the agglomeration of the inner wall of the blast furnace further includes displaying the flat development images corresponding to different times in chronological order.

綜上所述,在本揭露之高爐內壁結塊之監視方法中,利用控制體積差分法、數值求解法、及溫度感測器所感測到的溫度,建立內襯殘厚與結垢層厚度之推估方法,並且將每一控制體積的結垢層厚度以監視畫面呈現。透過可視化呈現結垢層厚度,同時將相關操作數據整合於同一監視畫面,方便操作者隨時掌握爐壁結垢狀況,有異常時可適時採取因應措施。並且可將歷史資料以自動翻頁方式播放,呈現欲觀察時段之爐壁結垢層消長變化的歷程,有利於肇因分析及驗證採取措施之效果,提供爐操人員最有力的工具,進而避免異常結塊及採取因應措施。To sum up, in the method for monitoring the agglomeration of the inner wall of the blast furnace disclosed in the present disclosure, the residual thickness of the inner lining and the thickness of the fouling layer are established by the control volume difference method, the numerical solution method, and the temperature sensed by the temperature sensor. The estimation method, and the fouling layer thickness of each control volume is presented on the monitor screen. The thickness of the fouling layer is displayed visually, and the relevant operating data is integrated into the same monitoring screen, so that the operator can grasp the fouling status of the furnace wall at any time, and take appropriate measures in time when there is an abnormality. In addition, the historical data can be played in automatic page turning mode, showing the growth and decline of the furnace wall fouling layer during the period of time to be observed, which is conducive to cause analysis and verification of the effect of measures taken, and provides the most powerful tool for furnace operators to avoid Abnormal agglomeration and take countermeasures.

為讓本揭露的上述特徵和優點能更明顯易懂,下文特舉實施例,並配合所附圖式作詳細說明如下。In order to make the above-mentioned features and advantages of the present disclosure more obvious and understandable, the following specific embodiments are described in detail in conjunction with the accompanying drawings.

以下仔細討論本揭露的實施例。然而,可以理解的是,實施例提供許多可應用的概念,其可實施於各式各樣的特定內容中。所討論與揭示的實施例僅供說明,並非用以限定本揭露之範圍。本揭露的所有實施例揭露多種不同特徵,但這些特徵可依需求而單獨實施或結合實施。另外,關於本文中所使用之「第一」、「第二」、…等,並非特別指次序或順位的意思,其僅為了區別以相同技術用語描述的元件或操作。此外,本揭露所敘述之二元件之間的空間關係不僅適用於圖式所繪示之方位,亦適用於圖式所未呈現之方位,例如倒置之方位。The embodiments of the present disclosure are discussed in detail below. However, it can be understood that the embodiments provide many applicable concepts, which can be implemented in various specific contents. The discussed and disclosed embodiments are for illustration only, and are not intended to limit the scope of the disclosure. All the embodiments of the present disclosure disclose multiple different features, but these features can be implemented individually or in combination according to requirements. In addition, the "first", "second", etc. used in this text do not particularly refer to the meaning of order or sequence, but only to distinguish elements or operations described in the same technical terms. In addition, the spatial relationship between the two elements described in this disclosure is not only applicable to the orientation shown in the diagram, but also applicable to the orientation not shown in the diagram, such as an inverted orientation.

圖1為本揭露實施例之一種高爐內壁結塊之監視方法所應用之高爐10的示意圖。請參照圖1,高爐10包含爐身101及爐座102。爐座102為高爐10之底部,爐身101設於爐座102之上並與爐座102相結合而形成容置空間H。高爐10進一步包含數個鼓風嘴103及數個出鐵口104。鼓風嘴103穿設於爐座102中並可提供熱風至容置空間H內。出鐵口104設於爐座102中且位於鼓風嘴103之下。操作人員可經由出鐵口104進行出鐵作業。容置空間H可容置煉鐵原料、以及煉鐵原料經熔煉後所生成之鐵水105及爐渣106。鐵水105及爐渣106位於容置空間H之底部,且爐渣106位於鐵水105之上。另外,為監控爐身101之溫度,高爐10進一步包含數個溫度感測器107,溫度感測器107穿設於爐身101中,並可感測爐身101的溫度。溫度感測器107例如為熱電耦。在一示範例子中,溫度感測器107以8層的配置設於爐身101中,並且各層設有8個溫度感測器107,也就是共有64個溫度感測器107,但本揭露不限於此。各層的8個溫度感測器107環繞設於爐身101,且可平均設置。FIG. 1 is a schematic diagram of a blast furnace 10 applied in a method for monitoring agglomeration of the inner wall of a blast furnace according to an embodiment of the disclosure. Please refer to FIG. 1, the blast furnace 10 includes a furnace body 101 and a furnace base 102. The furnace base 102 is the bottom of the blast furnace 10, and the furnace body 101 is disposed on the furnace base 102 and combined with the furnace base 102 to form an accommodating space H. The blast furnace 10 further includes a plurality of blast nozzles 103 and a plurality of tap holes 104. The blast nozzle 103 penetrates the furnace base 102 and can provide hot air to the accommodating space H. The tap hole 104 is arranged in the furnace base 102 and located under the blast nozzle 103. The operator can perform the tapping operation through the tapping port 104. The accommodating space H can accommodate iron-making raw materials, as well as molten iron 105 and slag 106 generated after the iron-making raw materials are smelted. The molten iron 105 and the slag 106 are located at the bottom of the accommodating space H, and the slag 106 is located on the molten iron 105. In addition, in order to monitor the temperature of the furnace body 101, the blast furnace 10 further includes a plurality of temperature sensors 107. The temperature sensors 107 are inserted in the furnace body 101 and can sense the temperature of the furnace body 101. The temperature sensor 107 is, for example, a thermocouple. In an exemplary example, the temperature sensor 107 is arranged in the furnace body 101 in an 8-layer configuration, and each layer is provided with 8 temperature sensors 107, that is, there are 64 temperature sensors 107 in total, but this disclosure does not Limited to this. The 8 temperature sensors 107 on each layer are arranged around the furnace body 101 and can be arranged evenly.

在本實施例中,將高爐10位於鼓風嘴103之上的範圍定義為爐身101。圖2為圖1之爐身101具有溫度感測器107之部分的放大示意圖。請參照圖2,爐身101包含鐵殼201及內襯202,內襯202設於鐵殼201之內周緣,並可阻隔爐內之熱量傳至鐵殼201。內襯202包含填充材203及耐火磚204。填充材203設於鐵殼201之內側面。耐火磚204設於填充材203之一側且與填充材203接合。填充材203位於鐵殼201與耐火磚204之間。溫度感測器107穿設於爐身101中,進一步說是穿設於鐵殼201、填充材203、及部分之耐火磚204中。另外,為將爐身101之熱量帶走,本實施例之爐身101可進一步包含數個冷卻板205。冷卻板205設於內襯202中,且冷卻板205為中空以讓熱交換之液體流通。數個冷卻板205可構成一個散熱單元。在一例子中,4個或6個冷卻板205構成一個散熱單元,且具有一個入口與一個出口,或是多個入口與多個出口,以讓液體流入並流出,而將爐身101之部分熱量帶走。In this embodiment, the range of the blast furnace 10 above the tuyere 103 is defined as the furnace body 101. FIG. 2 is an enlarged schematic diagram of a part of the furnace body 101 of FIG. 1 with a temperature sensor 107. Please refer to FIG. 2, the furnace body 101 includes an iron shell 201 and an inner lining 202. The inner lining 202 is arranged on the inner periphery of the iron shell 201 and can block the heat in the furnace from being transferred to the iron shell 201. The lining 202 includes a filler 203 and refractory bricks 204. The filling material 203 is arranged on the inner side of the iron shell 201. The refractory brick 204 is provided on one side of the filling material 203 and joined to the filling material 203. The filler 203 is located between the iron shell 201 and the refractory brick 204. The temperature sensor 107 is inserted in the furnace body 101, and further said to be inserted in the iron shell 201, the filling material 203, and part of the refractory brick 204. In addition, in order to take away the heat of the furnace body 101, the furnace body 101 of this embodiment may further include a plurality of cooling plates 205. The cooling plate 205 is arranged in the lining 202, and the cooling plate 205 is hollow to allow the heat exchange liquid to circulate. Several cooling plates 205 can form a heat dissipation unit. In one example, 4 or 6 cooling plates 205 constitute a heat dissipation unit, and have one inlet and one outlet, or multiple inlets and multiple outlets, to allow liquid to flow in and out, and part of the furnace body 101 The heat is taken away.

圖3為本揭露實施例之一種高爐內壁結塊之監視方法的流程圖,本揭露之監視方法利用控制體積及數值求解法來監視高爐內壁的結塊情形。請參照圖3,在監視方法中,先進行步驟301,以依據爐身101之局部對稱性,且對應溫度感測器107之一者而自爐身101選取一個控制體積。控制體積具有數個對稱面。依據爐身101之局部對稱性來選取控制體積是為了降低或簡化整個爐身101之溫度分佈的計算量。所選取的控制體積具有代表性,因此一旦建立單個控制體積的計算模式,即可應用於爐身101之所有的控制體積。由於是依據爐身101的局部對稱性來選取控制體積,因此控制體積具有多個對稱面。FIG. 3 is a flowchart of a method for monitoring agglomeration of the inner wall of a blast furnace according to an embodiment of the disclosure. The monitoring method of the present disclosure uses a control volume and a numerical solution method to monitor the agglomeration of the inner wall of the blast furnace. 3, in the monitoring method, step 301 is first performed to select a control volume from the furnace body 101 according to the local symmetry of the furnace body 101 and corresponding to one of the temperature sensors 107. The control volume has several symmetry planes. The purpose of selecting the control volume based on the local symmetry of the furnace body 101 is to reduce or simplify the calculation of the temperature distribution of the entire furnace body 101. The selected control volume is representative, so once a single control volume calculation mode is established, it can be applied to all control volumes of the furnace body 101. Since the control volume is selected according to the local symmetry of the furnace body 101, the control volume has multiple symmetry planes.

在本實施例中,控制體積係由相鄰二個冷卻板205定義。請參照圖4,其為本揭露實施例之部分冷卻板205從爐身101之外面看向爐內且呈平面展開的示意圖。在本實施例中,冷卻板205平均分佈於爐身101,控制體積CV係由相鄰二個冷卻板205定義。控制體積CV具有代表性,因此可簡化整個爐身101的計算量。請參照圖5,其為一個控制體積CV的透視示意圖。控制體積CV共有4個對稱面S1~S4,此些對稱面S1~S4的法線向量係與爐內至爐外的方向垂直。控制體積CV經由對稱面S1~S4而與其他相鄰的四個控制體積相連,換言之,二個相鄰的控制體積CV具有一個共同的對稱面。在此共同的對稱面上,此二相鄰的控制體積CV具有相同的溫度。對控制體積CV而言,溫度變化是沿面S5到面S6之方向發生。In this embodiment, the control volume is defined by two adjacent cooling plates 205. Please refer to FIG. 4, which is a schematic diagram of a part of the cooling plate 205 in the embodiment of the disclosure when viewed from the outside of the furnace body 101 into the furnace and is expanded in a plane. In this embodiment, the cooling plates 205 are evenly distributed on the furnace body 101, and the control volume CV is defined by two adjacent cooling plates 205. The control volume CV is representative, so the calculation amount of the entire furnace body 101 can be simplified. Please refer to FIG. 5, which is a perspective view of a control volume CV. The control volume CV has 4 symmetry planes S1~S4, and the normal vector system of these symmetry planes S1~S4 is perpendicular to the direction from the inside to the outside of the furnace. The control volume CV is connected to the other four adjacent control volumes via symmetry planes S1 to S4. In other words, two adjacent control volumes CV have a common symmetry plane. On this common symmetry plane, the two adjacent control volumes CV have the same temperature. For the control volume CV, the temperature change occurs along the direction from the surface S5 to the surface S6.

在選取控制體積CV之後,可進行步驟302,以將控制體積CV分成數個格點,並使用下列式(1)至式(4)來建立此些格點之格點溫度模型,且用數值求解法來求解式(1)至式(4),以得到格點之溫度。

Figure 02_image001
(1) 當x=X0 時,T=Tm (2) 當x=Xn 時,T=Ta (3)
Figure 02_image003
(4)After selecting the control volume CV, proceed to step 302 to divide the control volume CV into several grid points, and use the following equations (1) to (4) to establish the grid point temperature model of these grid points, and use the numerical value Solving method to solve equations (1) to (4) to obtain the temperature of the grid point.
Figure 02_image001
(1) When x=X 0 , T=T m (2) When x=X n , T=T a (3)
Figure 02_image003
(4)

式(1)係在穩態(steady state)下表示爐身101之能量平衡,其中k為控制體積CV之熱傳導係數,x、y、及z為此格點溫度模型之座標系。x軸方向例如平行於從爐內至爐外之方向。Equation (1) represents the energy balance of the furnace body 101 in a steady state, where k is the thermal conductivity of the control volume CV, and x, y, and z are the coordinate systems of the lattice temperature model. The x-axis direction is, for example, parallel to the direction from the inside of the furnace to the outside of the furnace.

式(2)係基於控制體積CV所對應之爐身101之內壁面上的溫度皆相同之假設,例如是皆與此內壁面上的平均爐內溫度相同。控制體積CV所對應之爐身101之內壁面例如是控制體積CV與爐內的接觸面,由圖5之面S5表示。X0 係控制體積CV所對應之爐身101之內壁面之x座標,例如是控制體積CV所涵蓋到之內壁面之x座標。Tm 為控制體積CV所對應之爐內溫度。Equation (2) is based on the assumption that the temperature on the inner wall surface of the furnace body 101 corresponding to the control volume CV is the same, for example, they are all the same as the average furnace temperature on the inner wall surface. The inner wall surface of the furnace body 101 corresponding to the control volume CV is, for example, the contact surface between the control volume CV and the furnace, which is represented by the surface S5 in FIG. 5. X 0 is the x coordinate of the inner wall surface of the furnace body 101 corresponding to the control volume CV, for example, the x coordinate of the inner wall surface covered by the control volume CV. T m is the temperature in the furnace corresponding to the control volume CV.

式(3)係基於控制體積CV所對應之爐身101之外壁面上的溫度皆等於空氣溫度之假設。控制體積CV所對應之爐身101之外壁面例如是控制體積CV與爐外空氣之接觸面,由圖5之面S6表示。Xn 係控制體積CV所對應之爐身101之外壁面之x座標,例如是控制體積CV所涵蓋到之外壁面之x座標。Ta 為控制體積CV所對應之空氣溫度,在此亦假設每一控制體積CV所對應的空氣溫度皆相同。Equation (3) is based on the assumption that the temperature on the outer wall surface of the furnace body 101 corresponding to the control volume CV is equal to the air temperature. The outer wall surface of the furnace body 101 corresponding to the control volume CV is, for example, the contact surface between the control volume CV and the outside air, which is represented by the surface S6 in FIG. 5. X n is the x coordinate of the outer wall surface of the furnace body 101 corresponding to the control volume CV, for example, the x coordinate of the outer wall surface covered by the control volume CV. T a is the air temperature corresponding to the control volume CV. Here, it is also assumed that the air temperature corresponding to each control volume CV is the same.

式(4)係基於各冷卻板205之間互不傳熱之假設,其中n為圖5之對稱面S1~S4之法線方向。Equation (4) is based on the assumption that the cooling plates 205 do not transfer heat to each other, where n is the normal direction of the symmetry plane S1~S4 in FIG. 5.

利用數值求解法求解式(1)至式(4)包含進行疊代計算直至每一格點之連續二次計算而得的溫度差低於閥值。舉例來說,在第49次與第50次疊代計算中,每一格點之溫度的差值小於0.001,即可停止疊代計算。在疊代計算完成後,可得到每一格點之溫度。數值求解法可例如為差分法。Solving equations (1) to (4) by using a numerical solution method includes performing iterative calculations until the temperature difference obtained by successive two calculations at each grid point is lower than the threshold. For example, in the 49th and 50th iterative calculations, if the temperature difference between each grid point is less than 0.001, the iterative calculation can be stopped. After the iterative calculation is completed, the temperature of each grid point can be obtained. The numerical solution method may be, for example, a difference method.

由於不知上述格點溫度模型與實際情況是否有差異,因此進行步驟303,以進行格點溫度模型的確認。在步驟303中,以第一時間所對應之內襯厚度值、第一時間所對應之第一爐內溫度、及第一時間所對應之溫度感測器所感測之第一感測溫度來調整式(1)之k值,而得到修正格點溫度模型。在一例子中,第一時間是指開爐初期,此時的內襯厚度值又稱為原始內襯厚度值。舉例來說,請參照圖2,在開爐初期,由於爐身101之內襯202尚未被爐內之高溫氣流蝕耗,因此內襯202的厚度即為原初設計的厚度,也就是式(2)與式(3)的X0 與Xn 是確定的。再者,開爐初期的爐內溫度與空氣溫度也是可量測到的,因此式(2)與式(3)的Tm 與Ta 亦是確定的。又,在設計高爐時,溫度感測器107用以感測溫度之部分所對應的溫度感測位置也是確定的,溫度感測位置例如是對應某格點、或位於二格點之間。綜合上述,將上述X0 與Xn 以及Tm 與Ta 代入格點溫度模型並進行計算,可得到溫度感測器107之溫度感測位置之計算溫度。可將此計算溫度與溫度感測器107所感測到的實際溫度,即第一感測溫度作比較,就可知道格點溫度模型與實際情況是否有差異。若有差異,可調整格點溫度模型的參數,例如控制體積CV之熱傳導係數k,直到溫度感測器107之計算溫度與實際感測溫度相同。在經過此步驟後,即可確認式(1)至式(4)所代表的格點溫度模型符合實際情況。Since it is unknown whether the above-mentioned lattice temperature model is different from the actual situation, step 303 is performed to confirm the lattice temperature model. In step 303, the lining thickness value corresponding to the first time, the first furnace temperature corresponding to the first time, and the first sensing temperature sensed by the temperature sensor corresponding to the first time are used to adjust Formula (1) k value, and get the modified lattice temperature model. In one example, the first time refers to the initial stage of furnace opening, and the value of the lining thickness at this time is also called the original lining thickness value. For example, referring to Figure 2, at the beginning of the furnace opening, since the lining 202 of the furnace body 101 has not been consumed by the high-temperature airflow in the furnace, the thickness of the lining 202 is the original designed thickness, which is the formula (2 ) And formula (3) X 0 and X n are definite. Further, the initial opening of the furnace is the furnace temperature and the air temperature to be measured, thus the formula T m (2) and the formula (3) and T a is also determined. In addition, when designing the blast furnace, the temperature sensing position corresponding to the part of the temperature sensor 107 for sensing temperature is also determined. The temperature sensing position corresponds to a certain grid point or is located between two grid points, for example. In summary, the above and X 0 and X n T a T m and substituting the lattice model and calculated temperature, the temperature sensor sensing the temperature is calculated to obtain a temperature of 107 of position sensing. This calculated temperature can be compared with the actual temperature sensed by the temperature sensor 107, that is, the first sensed temperature, to know whether the lattice temperature model is different from the actual situation. If there is a difference, the parameters of the lattice temperature model can be adjusted, such as the thermal conductivity k of the control volume CV, until the calculated temperature of the temperature sensor 107 is the same as the actual sensed temperature. After this step, it can be confirmed that the lattice point temperature model represented by formula (1) to formula (4) conforms to the actual situation.

除了利用開爐初期的原始內襯厚度值來進行格點溫度模型的確認之外,也可利用定修期間所量測到之內襯的殘厚值來進行模型的確認,此時的第一時間係指定修期間。由於定修是在高爐運轉一定時間後才進行的,因此爐身之內襯應該已發生蝕耗現象,此時內襯的厚度稱為殘厚值。在一實施例中,殘厚值可由鐵殼201的外壁面起算。同樣地,可使用定修期間所對應之內襯厚度值、定修期間開始前所對應之第一爐內溫度、及定修期間開始前所對應之溫度感測器所感測之第一感測溫度來調整式(1)之k值,而得到修正格點溫度模型。In addition to using the original lining thickness value at the beginning of the furnace to confirm the lattice temperature model, the residual thickness value of the lining measured during the fixed repair period can also be used to confirm the model. At this time, the first The time is the designated repair period. Since the fixed repair is carried out after the blast furnace has been operating for a certain period of time, the lining of the furnace body should have been eroded, and the thickness of the lining at this time is called the residual thickness value. In one embodiment, the residual thickness can be calculated from the outer wall surface of the iron shell 201. Similarly, the lining thickness value corresponding to the fixed repair period, the first furnace temperature before the start of the fixed repair period, and the first sensor sensed by the corresponding temperature sensor before the start of the fixed repair period can be used Adjust the value of k in equation (1) by temperature to obtain a modified lattice temperature model.

在得到修正格點溫度模型之後,可進行步驟304,以利用修正格點溫度模型來取得內襯殘厚值。在步驟304中,取得對應控制體積之溫度感測器所感測到的最高感測溫度,並將此最高感測溫度、及最高感測溫度之感測時間所對應之爐內溫度應用於修正格點溫度模型,以得到控制體積所對應之內襯殘厚值。爐內高溫氣流會蝕耗內襯,使得內襯的厚度隨著製程時間的增加而減少。當內襯的殘厚越小時,內襯的熱量阻隔作用就下降,以致溫度感測器所感測到的溫度會越高。然而,當結垢層開始形成於內襯的內壁時,結垢層反而會提供熱量阻隔作用,使得溫度感測器所感測到的溫度會開始下降。因此,溫度感測器所感測到的最高感測溫度就代表內襯的蝕耗已達最大,此時的內襯厚度就是內襯殘厚值。After the modified grid point temperature model is obtained, step 304 may be performed to obtain the residual thickness value of the lining by using the modified grid point temperature model. In step 304, obtain the highest sensed temperature sensed by the temperature sensor corresponding to the control volume, and apply the highest sensed temperature and the temperature in the furnace corresponding to the sensing time of the highest sensed temperature to the correction grid Point the temperature model to obtain the residual thickness of the inner lining corresponding to the control volume. The high temperature air flow in the furnace will consume the lining, so that the thickness of the lining decreases with the increase of the process time. When the residual thickness of the inner lining is smaller, the heat blocking effect of the inner lining decreases, so that the temperature sensed by the temperature sensor will be higher. However, when the fouling layer begins to form on the inner wall of the lining, the fouling layer will instead provide a heat blocking effect, so that the temperature sensed by the temperature sensor will begin to drop. Therefore, the highest sensing temperature sensed by the temperature sensor means that the erosion loss of the inner lining has reached the maximum, and the thickness of the inner lining at this time is the residual thickness of the inner lining.

在步驟304中,可先依據不同的模擬爐內溫度與不同的模擬內襯殘厚值來計算溫度感測器之溫度感測位置的多個計算溫度,以得到在不同的模擬爐內溫度下,溫度感測器之溫度感測位置之計算溫度與模擬內襯殘厚值之關係的曲線。藉由調整在上述式(2)中Tm 的值,可在不同的模擬爐內溫度的情況下來進行計算。藉由調整在上述式(2)及式(3)中X0 與Xn 的值,可在不同的模擬內襯殘厚值的情況下來進行計算。在一例子中,X0 到Xn 的距離等於內襯殘厚值。請參照圖6,其為依據不同的模擬爐內溫度來計算溫度感測器之溫度感測位置之計算溫度(縱軸)與蝕耗厚度(橫軸)之關係的曲線圖。請注意,圖6的橫軸並非是內襯殘厚值,但是由於內襯殘厚值+蝕耗厚度=原始內襯厚度值的關係,因此模擬蝕耗厚度可以確定地轉換成模擬內襯殘厚值(反之亦然)。因此,圖6的曲線圖可轉換成模擬內襯殘厚值(縱軸)與溫度感測器之溫度感測位置之計算溫度(橫軸)之關係的曲線圖。在得到模擬內襯殘厚值與溫度感測器之溫度感測位置之計算溫度之關係的曲線圖之後,可用三次以上之多項式模擬此些曲線,以方便之後的代入計算。在一例子中,以多個三次多項式分別模擬此些曲線。三次多項式如下所示: ER =(C1 +C2 T+C3 T2 +C4 T3 )/1000         (5)In step 304, according to different simulated furnace temperatures and different simulated lining residual thickness values, a plurality of calculated temperatures of the temperature sensing position of the temperature sensor may be calculated to obtain the temperature at different simulated furnace temperatures. , The curve of the relationship between the calculated temperature of the temperature sensing position of the temperature sensor and the residual thickness of the simulated lining. By adjusting the value of T m in the above formula (2), the calculation can be performed under different simulated furnace temperatures. By adjusting the values of X 0 and X n in the above equations (2) and (3), calculations can be performed under different simulated lining residual thickness values. In one example, the distance from X 0 to X n is equal to the residual thickness of the lining. Please refer to FIG. 6, which is a graph showing the relationship between the calculated temperature (vertical axis) and the erosion thickness (horizontal axis) of the temperature sensing position of the temperature sensor based on different simulated furnace temperatures. Please note that the horizontal axis in Figure 6 is not the residual lining thickness value, but due to the relationship between the residual lining thickness value + erosion thickness = the original lining thickness value, the simulated erosion thickness can be converted into a simulated lining residual thickness with certainty. Thickness (and vice versa). Therefore, the graph of FIG. 6 can be converted into a graph that simulates the relationship between the residual thickness of the inner lining (vertical axis) and the calculated temperature of the temperature sensing position of the temperature sensor (horizontal axis). After obtaining a graph that simulates the relationship between the residual thickness of the lining and the calculated temperature of the temperature sensing position of the temperature sensor, these curves can be simulated by a polynomial of more than three times to facilitate subsequent calculations. In one example, these curves are respectively simulated by a plurality of third-degree polynomials. The cubic polynomial is as follows: E R =(C 1 +C 2 T+C 3 T 2 +C 4 T 3 )/1000 (5)

在式(5)中,ER 為內襯殘厚值,C1 ~C4 為迴歸係數。當用溫度感測器所感測到的歷史最高溫,即最高感測溫度,代入最高感測溫度之感測時間所對應之爐內溫度所對應之式(5)之T時,可得到溫度感測器所對應之控制體積所對應之內襯殘厚值。In formula (5), E R is the residual thickness of the inner lining, and C 1 to C 4 are regression coefficients. When the historical highest temperature sensed by the temperature sensor, that is, the highest sensed temperature, is substituted into the T of equation (5) corresponding to the furnace temperature corresponding to the sensing time of the highest sensed temperature, the temperature sensing can be obtained The residual thickness of the inner lining corresponding to the control volume corresponding to the measuring instrument.

在得到內襯殘厚值之後,就可進行步驟305,以利用修正格點溫度模型來得到結垢層厚度。請參照圖3,在步驟305中,利用內襯殘厚值、第二時間所對應之溫度感測器之第二感測溫度、第二時間所對應之第二爐內溫度、及修正格點溫度模型,來取得控制體積所對應之結垢層厚度。第二時間可以是在得到內襯殘厚值之後的一個時間。在此步驟中,先利用不同的模擬爐內溫度、不同的模擬蝕耗厚度(可轉成內襯殘厚值)、與不同的模擬結垢層厚度來計算溫度感測器之溫度感測位置之計算溫度,以得到在不同的模擬爐內溫度與不同的模擬蝕耗厚度的情況下,溫度感測器之溫度感測位置之計算溫度與模擬結垢層厚度之關係的曲線。藉由調整在上述式(2)中Tm 的值,可針對不同的模擬爐內溫度來進行計算。由於上述式(2)及式(3)中之X0 到Xn 的距離等於模擬內襯殘厚值(可轉成模擬蝕耗厚度)加上模擬結垢層厚度,因此藉由調整X0 與Xn 的值,就可利用修正格點溫度模型針對不同的模擬蝕耗厚度與模擬結垢層厚度來進行計算。After the residual thickness of the inner lining is obtained, step 305 can be performed to obtain the thickness of the fouling layer by using the modified lattice temperature model. 3, in step 305, the residual thickness of the inner lining, the second sensing temperature of the temperature sensor corresponding to the second time, the second furnace temperature corresponding to the second time, and the modified grid point are used The temperature model is used to obtain the thickness of the scaled layer corresponding to the control volume. The second time may be a time after the residual thickness of the inner lining is obtained. In this step, first use different simulated furnace temperatures, different simulated erosion thicknesses (which can be converted into lining residual thickness values), and different simulated fouling layer thicknesses to calculate the temperature sensing position of the temperature sensor The calculated temperature is used to obtain the curve of the relationship between the calculated temperature of the temperature sensing position of the temperature sensor and the thickness of the simulated fouling layer under different simulated furnace temperatures and different simulated erosion thicknesses. By adjusting the value of T m in the above formula (2), calculations can be made for different simulated furnace temperatures. Since the distance from X 0 to X n in the above equations (2) and (3) is equal to the simulated lining residual thickness value (which can be converted into simulated erosion thickness) plus the simulated fouling layer thickness, by adjusting X 0 With the value of X n , the modified grid point temperature model can be used to calculate for different simulated erosion thicknesses and simulated fouling layer thicknesses.

請參照圖7,其為依據不同的模擬爐內溫度與不同的模擬蝕耗厚度來計算溫度感測器之溫度感測位置之計算溫度(縱軸)與模擬結垢層厚度(橫軸)之關係的曲線圖。需說明的是,為了後續代入方便,在計算上將圖7的曲線圖轉為溫度感測器之溫度感測位置之計算溫度(橫軸)與模擬結垢層厚度(縱軸)之關係的曲線圖。在得到此曲線圖之後,可利用三次以上之多項式來模擬此些曲線,以方便之後代入計算。在一例子中,以多個三次多項式分別模擬此些曲線。三次多項式如下所示: SR =(A1 +A2 T+A3 T2 +A4 T3 )/1000       (6)Please refer to Figure 7, which is based on different simulated furnace temperatures and different simulated erosion thicknesses to calculate the calculated temperature of the temperature sensing position of the temperature sensor (vertical axis) and simulated fouling layer thickness (horizontal axis) Graph of relationship. It should be noted that, for the convenience of subsequent substitutions, the graph of Figure 7 is calculated as the relationship between the calculated temperature (horizontal axis) of the temperature sensing position of the temperature sensor and the thickness of the simulated fouling layer (vertical axis). Graph. After the graph is obtained, a polynomial of more than three degrees can be used to simulate these curves to facilitate subsequent calculations. In one example, these curves are respectively simulated by a plurality of third-degree polynomials. The third degree polynomial is as follows: S R =(A 1 +A 2 T+A 3 T 2 +A 4 T 3 )/1000 (6)

在式(6)中,SR 為結垢層厚度,A1 ~A4 為迴歸係數。在代入前先利用式(5)所得到之內襯殘厚值來得到實際的蝕耗厚度。接著,用溫度感測器所感測到的第二感測溫度代入上述實際的蝕耗厚度與第二爐內溫度所對應之式(6)之T時,即可得到溫度感測器所對應之控制體積所對應之結垢層厚度。In formula (6), S R is the thickness of the fouling layer, and A 1 to A 4 are regression coefficients. Before substituting, first use the residual thickness value of the inner lining obtained by formula (5) to obtain the actual erosion thickness. Then, when the second sensing temperature sensed by the temperature sensor is substituted into the above-mentioned actual erosion thickness and the second furnace temperature corresponding to the formula (6) T, the temperature corresponding to the temperature sensor can be obtained Control the thickness of the scaling layer corresponding to the volume.

藉由上述步驟301~305之操作,可得到單個溫度感測器所對應之控制體積所對應之結垢層厚度。可將此些操作推廣至所有溫度感測器所對應之控制體積,即可得到每一控制體積所對應之結垢層厚度。至於沒有溫度感測器所對應之控制體積,可利用有對應溫度感測器之控制體積來進行內插計算,以得到其溫度分佈、內襯殘厚值、及/或結垢層厚度。Through the operations of the above steps 301 to 305, the thickness of the scaled layer corresponding to the control volume corresponding to a single temperature sensor can be obtained. These operations can be extended to the control volumes corresponding to all temperature sensors, and the thickness of the fouling layer corresponding to each control volume can be obtained. As for the control volume corresponding to no temperature sensor, the control volume with the corresponding temperature sensor can be used for interpolation calculation to obtain the temperature distribution, the residual thickness of the lining, and/or the thickness of the fouling layer.

需說明的是,上述實施例是基於每一控制體積對應一個溫度感測器,但本揭露實施例可包含每一控制體積對應多個溫度感測器,其亦可利用上述實施例之原則來施行。另外,本揭露實施例之監視方法亦可用於以冷卻壁作為冷卻機制之高爐。同樣地,可先依據此高爐之爐身之局部對稱性選取爐身之控制體積,然後再按照上述步驟進行操作即可得到每一控制體積所對應之結垢層厚度。It should be noted that the above embodiment is based on each control volume corresponding to one temperature sensor, but the disclosed embodiment may include each control volume corresponding to multiple temperature sensors, which can also use the principle of the above embodiment to Implement. In addition, the monitoring method of the embodiment of the present disclosure can also be used in a blast furnace that uses a cooling stave as a cooling mechanism. Similarly, the control volume of the furnace body can be selected first according to the local symmetry of the furnace body of the blast furnace, and then follow the above steps to obtain the thickness of the scale layer corresponding to each control volume.

本揭露實施例之監視方法可進一步包含當結垢層厚度超過閥值時,發出警示訊號。閥值可設定為固定值或可調整值,其中可調整值例如是隨製程的時間調整。閥值亦可為關係式,關係式的參數例如包含原始內襯厚度值、內襯殘厚值、前一次所得到之結垢層厚度、或其組合。警示訊號可為聲音或視覺效果,其中視覺效果可包含影像、文字、符號、或其組合。The monitoring method of the embodiment of the present disclosure may further include sending a warning signal when the thickness of the fouling layer exceeds a threshold. The threshold can be set to a fixed value or an adjustable value, where the adjustable value is, for example, adjusted with the time of the process. The threshold value may also be a relational expression, and the parameters of the relational expression include, for example, the original lining thickness value, the residual lining thickness value, the thickness of the fouling layer obtained last time, or a combination thereof. The warning signal can be a sound or a visual effect, and the visual effect can include images, text, symbols, or a combination thereof.

本揭露實施例之監視方法可進一步包含顯示監視畫面,其中監視畫面包含所有溫度感測器所對應之控制體積之平面展開圖,並以不同顏色代表每一控制體積所對應之結垢層厚度的大小。請參照圖8,其為本揭露實施例之一種監視畫面P。在區塊A中,顯示爐身及設於爐身之溫度感測器分佈於8層, 即S1層~S8層。前述實施例所使用的溫度感測器例如為S3層的其中一個溫度感測器。在區塊B中,在縱向上顯示對應S1層~S8層之控制體積,在橫向上顯示對應每一層之8個溫度感測器所對應之控制體積,所以共有64個控制體積,並且用不同顏色來代表其結垢層厚度的大小。將相關的操作數據與控制體積所對應之結垢層厚度整合於圖8所示之監視畫面P,方便操作人員隨時掌握爐壁結垢狀況。操作人員可經由觀看圖8所示之監視畫面P來檢測結垢層厚度,進而得到直覺且有效率的檢測結果,並採取因應措施。除了控制體積的平面展開圖之外,本揭露實施例之監視方法亦可產生控制體積的立體圖,即顯示爐身之立體影像及其上之控制體積。The monitoring method of the embodiment of the present disclosure may further include displaying a monitoring screen, wherein the monitoring screen includes a planar expansion view of the control volume corresponding to all temperature sensors, and different colors represent the thickness of the scale layer corresponding to each control volume size. Please refer to FIG. 8, which is a monitoring picture P according to an embodiment of the disclosure. In block A, the display furnace body and the temperature sensors arranged on the furnace body are distributed on the 8th floor, that is, the S1~S8 floor. The temperature sensor used in the foregoing embodiment is, for example, one of the temperature sensors in the S3 layer. In block B, the control volume corresponding to the S1~S8 layer is displayed in the vertical direction, and the control volume corresponding to the 8 temperature sensors corresponding to each layer is displayed in the horizontal direction, so there are 64 control volumes in total, and different The color represents the thickness of the fouling layer. The related operation data and the thickness of the scaling layer corresponding to the control volume are integrated into the monitoring screen P shown in Fig. 8, so that the operator can grasp the scaling status of the furnace wall at any time. The operator can detect the thickness of the fouling layer by watching the monitoring screen P shown in FIG. 8, and then obtain intuitive and efficient detection results, and take corresponding measures. In addition to the planar expansion view of the control volume, the monitoring method of the embodiment of the present disclosure can also generate a three-dimensional view of the control volume, that is, the three-dimensional image of the furnace body and the control volume on it are displayed.

本揭露實施例之監視方法可進一步包含依時間順序播放對應的平面展開圖。以一預設間隔時間為單位,將歷史資料以自動翻頁的方式播放,呈現欲觀察的時段之結垢層消長變化的歷程,這有利於肇因分析及採取措施。The monitoring method of the embodiment of the present disclosure may further include playing the corresponding flat unfolded view in time sequence. With a preset interval time as a unit, the historical data is played in a way of automatically turning pages, showing the growth and decline of the fouling layer during the time period to be observed, which is conducive to cause analysis and measures.

由以上說明可知,在本揭露之高爐內壁結塊之監視方法中,利用控制體積差分法、數值求解法、及溫度感測器所感測到的溫度,建立內襯殘厚與結垢層厚度之推估方法,並且將每一控制體積的結垢層厚度以監視畫面呈現。透過可視化呈現結垢層厚度,同時將相關操作數據整合於同一監視畫面,方便操作者隨時掌握爐壁結垢狀況,有異常時可適時採取因應措施。並且可將歷史資料以自動翻頁方式播放,呈現欲觀察時段之爐壁結垢層消長變化的歷程,有利於肇因分析及驗證採取措施之效果,提供爐操人員最有力的工具,進而避免異常結塊及採取因應措施。It can be seen from the above description that in the method for monitoring the agglomeration of the inner wall of the blast furnace disclosed in the present disclosure, the residual thickness of the inner lining and the thickness of the fouling layer are established by the control volume difference method, the numerical solution method, and the temperature sensed by the temperature sensor. The estimation method, and the fouling layer thickness of each control volume is presented on the monitor screen. The thickness of the fouling layer is displayed visually, and the relevant operating data is integrated into the same monitoring screen, so that the operator can grasp the fouling status of the furnace wall at any time, and take appropriate measures in time when there is an abnormality. In addition, the historical data can be played in automatic page turning mode, showing the growth and decline of the furnace wall fouling layer during the period of time to be observed, which is conducive to cause analysis and verification of the effect of measures taken, and provides the most powerful tool for furnace operators to avoid Abnormal agglomeration and take countermeasures.

以上概述了數個實施例的特徵,因此熟習此技藝者可以更了解本揭露的態樣。熟習此技藝者應了解到,其可輕易地把本揭露當作基礎來設計或修改其他的製程與結構,藉此實現和在此所介紹的這些實施例相同的目標及/或達到相同的優點。熟習此技藝者也應可明白,這些等效的建構並未脫離本揭露的精神與範圍,並且他們可以在不脫離本揭露精神與範圍的前提下做各種的改變、替換與變動。The features of several embodiments are summarized above, so those who are familiar with the art can better understand the aspect of the present disclosure. Those who are familiar with this technique should understand that they can easily use the present disclosure as a basis to design or modify other processes and structures, thereby achieving the same goals and/or the same advantages as the embodiments described herein. . Those who are familiar with this art should also understand that these equivalent constructions do not depart from the spirit and scope of this disclosure, and they can make various changes, substitutions and alterations without departing from the spirit and scope of this disclosure.

10:高爐 101:爐身 102:爐座 103:鼓風嘴 104:出鐵口 105:鐵水 106:爐渣 107:溫度感測器 201:鐵殼 202:內襯 203:填充材 204:耐火磚 205:冷卻板 301~305:步驟 A,B:區塊 CV:控制體積 H:容置空間 P:監視畫面 S1~S4:對稱面 S5,S6:面10: Blast furnace 101: furnace body 102: Stove base 103: blast mouth 104: tap hole 105: Hot Metal 106: Slag 107: temperature sensor 201: iron shell 202: Lining 203: Filler 204: Refractory Brick 205: cooling plate 301~305: steps A, B: block CV: Control volume H: accommodating space P: Monitoring screen S1~S4: symmetry plane S5, S6: surface

從以下結合所附圖式所做的詳細描述,可對本揭露之態樣有更佳的了解。需注意的是,根據業界的標準實務,各特徵並未依比例繪示。事實上,為了使討論更為清楚,各特徵的尺寸都可任意地增加或減少。 〔圖1〕為本揭露實施例之一種高爐內壁結塊之監視方法所應用之高爐的示意圖。 〔圖2〕為〔圖1〕之高爐具有溫度感測器之部分的放大示意圖。 〔圖3〕為本揭露實施例之一種高爐內壁結塊之監視方法的流程圖。 〔圖4〕為本揭露實施例之冷卻板從爐身之外面看向爐內且呈平面展開的示意圖。 〔圖5〕為一個控制體積的透視示意圖。 〔圖6〕為依據不同的模擬爐內溫度來計算溫度感測器之溫度感測位置之計算溫度(縱軸)與模擬蝕耗厚度(橫軸)之關係的曲線圖。 〔圖7〕為依據不同的模擬爐內溫度與不同的模擬蝕耗厚度來計算溫度感測器之溫度感測位置之計算溫度(縱軸)與模擬結垢層厚度(橫軸)之關係的曲線圖。 〔圖8〕為本揭露實施例之一種監視畫面。From the following detailed description in conjunction with the accompanying drawings, a better understanding of the aspect of the present disclosure can be obtained. It should be noted that, according to industry standard practice, each feature is not drawn to scale. In fact, in order to make the discussion clearer, the size of each feature can be increased or decreased arbitrarily. [Fig. 1] is a schematic diagram of a blast furnace applied in a method for monitoring agglomeration of the inner wall of a blast furnace according to an embodiment of the disclosure. [Figure 2] is an enlarged schematic diagram of the part of the blast furnace with temperature sensors in [Figure 1]. [Figure 3] is a flowchart of a method for monitoring agglomeration of the inner wall of a blast furnace according to an embodiment of the disclosure. [Fig. 4] is a schematic diagram of the cooling plate of the disclosed embodiment viewed from the outside of the furnace body into the furnace and is expanded in a plane. [Figure 5] is a perspective view of a controlled volume. [Figure 6] is a graph showing the relationship between the calculated temperature (vertical axis) and the simulated erosion thickness (horizontal axis) of the temperature sensing position of the temperature sensor based on different simulated furnace temperatures. [Figure 7] The relationship between the calculated temperature (vertical axis) and the simulated fouling layer thickness (horizontal axis) of the temperature sensing position of the temperature sensor is calculated based on different simulated furnace temperatures and different simulated erosion thicknesses Graph. [Figure 8] is a monitoring screen of an embodiment of the disclosure.

國內寄存資訊(請依寄存機構、日期、號碼順序註記) 無 國外寄存資訊(請依寄存國家、機構、日期、號碼順序註記) 無Domestic deposit information (please note in the order of deposit institution, date and number) without Foreign hosting information (please note in the order of hosting country, institution, date, and number) without

301~305:步驟301~305: steps

Claims (10)

一種高爐內壁結塊之監視方法,其中該高爐包含一爐身及複數個溫度感測器,該爐身包含一鐵殼及一內襯,該內襯設於該鐵殼之一內周緣,該些溫度感測器穿設於該爐身中,該監視方法包含: 依據該爐身之局部對稱性,且對應該些溫度感測器之一者自該爐身選取一控制體積,該控制體積具有複數個對稱面; 將該控制體積分成複數個格點,使用式(1)至式(4)來建立該些格點之一格點溫度模型,並利用一數值求解法來求解該式(1)至該式(4),以得到該些格點之溫度,
Figure 03_image005
(1) 當x=X0 時,T=Tm (2) 當x=Xn 時,T=Ta (3)
Figure 03_image007
(4) 其中,k為該控制體積之一熱傳導係數,X0 為該控制體積所對應之該爐身之一內壁面之x座標,Tm 為該控制體積所對應之一爐內溫度,Xn 為該控制體積所對應之該爐身之一外壁面之x座標,Ta 為該控制體積所對應之一空氣溫度,n為該些對稱面之法線方向; 以一第一時間所對應之一內襯厚度值、該第一時間所對應之一第一爐內溫度、及該第一時間所對應之該些溫度感測器之該者所感測之一第一感測溫度來調整該式(1)之k值,以得到一修正格點溫度模型; 取得對應該控制體積之該些溫度感測器之該者所感測到之一最高感測溫度,並將該最高感測溫度、及該最高感測溫度之一感測時間所對應之一爐內溫度應用於該修正格點溫度模型,以得到該控制體積所對應之一內襯殘厚值;以及 將該內襯殘厚值、一第二時間所對應之該些溫度感測器之該者所感測之一第二感測溫度、及該第二時間所對應之一第二爐內溫度應用於該修正格點溫度模型,以得到該控制體積所對應之一結垢層厚度。
A method for monitoring the agglomeration of the inner wall of a blast furnace, wherein the blast furnace includes a furnace body and a plurality of temperature sensors, the furnace body includes an iron shell and an inner lining, and the inner lining is arranged on an inner periphery of the iron shell, The temperature sensors are installed in the furnace body, and the monitoring method includes: selecting a control volume from the furnace body according to the local symmetry of the furnace body and corresponding to one of the temperature sensors, the control The volume has multiple symmetry planes; divide the control volume into multiple grid points, use equations (1) to (4) to establish a temperature model of one of the grid points, and use a numerical solution method to solve the equation (1) to the formula (4) to obtain the temperature of the grid points,
Figure 03_image005
(1) When x=X 0 , T=T m (2) When x=X n , T=T a (3)
Figure 03_image007
(4) where k is a thermal conductivity coefficient of the control volume, X 0 is the x coordinate of an inner wall surface of the furnace body corresponding to the control volume, T m is a furnace temperature corresponding to the control volume, X n for controlling the volume of the corresponding one of the outer wall surface of the furnace body coordinates x, T a corresponding one of the air temperature for controlling the volume, n the normal direction for some of the plane of symmetry; corresponding to a first time A lining thickness value, a first furnace temperature corresponding to the first time, and a first sensing temperature sensed by the one of the temperature sensors corresponding to the first time to adjust the The value of k in formula (1) is used to obtain a modified lattice temperature model; one of the highest sensed temperatures sensed by the one of the temperature sensors corresponding to the control volume is obtained, and the highest sensed temperature, And a furnace temperature corresponding to a sensing time of the highest sensing temperature is applied to the modified grid point temperature model to obtain a lining residual thickness value corresponding to the control volume; and the lining residual thickness value A second sensing temperature sensed by the one of the temperature sensors corresponding to a second time, and a second furnace temperature corresponding to the second time are applied to the modified grid point temperature model, To obtain the thickness of a fouling layer corresponding to the control volume.
如請求項1所述之監視方法,其中該爐身進一步包含: 複數個冷卻板,設於該內襯中,該爐身之該局部對稱性係該些冷卻板之局部對稱性,該控制體積係由該些冷卻板之相鄰二者定義。The monitoring method according to claim 1, wherein the furnace body further comprises: A plurality of cooling plates are arranged in the lining, the local symmetry of the furnace body is the local symmetry of the cooling plates, and the control volume is defined by the adjacent two of the cooling plates. 如請求項1所述之監視方法,其中利用該數值求解法求解該式(1)至該式(4)包含進行疊代計算直至每一該些格點之連續二次計算所得的溫度之差低於一閥值。The monitoring method according to claim 1, wherein using the numerical solution method to solve the equations (1) to (4) includes performing iterative calculations until the temperature difference obtained by successive two calculations of each of the grid points Below a threshold. 如請求項1所述之監視方法,其中該數值求解法為差分法。The monitoring method according to claim 1, wherein the numerical solution method is a difference method. 如請求項1所述之監視方法,其中調整該式(1)之k值包含調整k值,直到該些溫度感測器之該者之一溫度感測位置之一計算溫度與該第一感測溫度相同。The monitoring method according to claim 1, wherein adjusting the value of k in the formula (1) includes adjusting the value of k until one of the temperature sensing positions of the temperature sensors calculates the temperature and the first sensor The measured temperature is the same. 如請求項1所述之監視方法,其中將該最高感測溫度、及該最高感測溫度之該感測時間所對應之該爐內溫度應用於該修正格點溫度模型包含: 依據複數個模擬爐內溫度與複數個模擬內襯殘厚值來計算該些溫度感測器之該者之一溫度感測位置之複數個計算溫度,以得到在不同之該些模擬爐內溫度下,該些計算溫度與該些模擬內襯殘厚值之關係的曲線; 用三次以上之複數個多項式分別模擬該些曲線;以及 將該些溫度感測器之該者所感測到之該最高感測溫度代入該最高感測溫度之該感測時間所對應之該爐內溫度所對應之該些多項式之一者,以得到該控制體積所對應之該內襯殘厚值。The monitoring method according to claim 1, wherein applying the temperature in the furnace corresponding to the highest sensing temperature and the sensing time of the highest sensing temperature to the modified grid point temperature model comprises: Calculate a plurality of calculated temperatures of one of the temperature sensing positions of the temperature sensors according to a plurality of simulated furnace temperatures and a plurality of simulated lining residual thickness values to obtain the temperatures in the different simulated furnaces Next, the curves of the relationship between the calculated temperature and the residual thickness of the simulated lining; Simulate the curves with a plurality of polynomials of more than three times; and Substituting the highest sensing temperature sensed by the one of the temperature sensors into one of the polynomials corresponding to the furnace temperature corresponding to the sensing time of the highest sensing temperature to obtain the The residual thickness of the lining corresponding to the control volume. 如請求項1所述之監視方法,其中將該內襯殘厚值、該第二感測溫度、及該第二爐內溫度應用於該修正格點溫度模型包含: 依據複數個模擬爐內溫度、複數個模擬蝕耗厚度、與複數個模擬結垢層厚度來計算該些溫度感測器之該者之一溫度感測位置之複數個計算溫度,以得到在不同之該些模擬爐內溫度與不同之該些模擬蝕耗厚度下,該些計算溫度與該些模擬結垢層厚度之關係的曲線; 用三次以上之複數個多項式分別模擬該些曲線;以及 將該第二感測溫度代入該內襯殘厚值與該第二爐內溫度所對應之該些多項式之一者,以得到該控制體積所對應之該結垢層厚度。The monitoring method according to claim 1, wherein applying the residual lining thickness value, the second sensed temperature, and the second furnace temperature to the modified grid point temperature model comprises: According to a plurality of simulated furnace temperatures, a plurality of simulated corrosion loss thicknesses, and a plurality of simulated fouling layer thicknesses, a plurality of calculated temperatures of one of the temperature sensing positions of the temperature sensors are calculated to obtain different temperatures. The curves of the relationship between the calculated temperature and the thickness of the simulated fouling layer under the temperature in the simulated furnace and the different simulated erosion thickness; Simulate the curves with a plurality of polynomials of more than three times; and Substituting the second sensed temperature into one of the polynomials corresponding to the lining residual thickness value and the second furnace temperature to obtain the scaled layer thickness corresponding to the control volume. 如請求項1所述之監視方法,進一步包含: 當該結垢層厚度超過一閥值時,發出一警示訊號。The monitoring method as described in claim 1, further comprising: When the thickness of the fouling layer exceeds a threshold, a warning signal is issued. 如請求項1所述之監視方法,進一步包含: 顯示一監視畫面,其中該監視畫面包含該些溫度感測器所對應之該些控制體積之一平面展開圖,並以不同顏色代表該些控制體積所對應之該些結垢層厚度的大小。The monitoring method as described in claim 1, further comprising: A monitoring screen is displayed, wherein the monitoring screen includes a planar expanded view of the control volumes corresponding to the temperature sensors, and different colors represent the thickness of the scaled layers corresponding to the control volumes. 如請求項9所述之監視方法,進一步包含: 依時間順序播放不同時間所對應之該平面展開圖。The monitoring method according to claim 9, further comprising: Play the flat expansion map corresponding to different times in chronological order.
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