TWI860881B - Method for recovering heat exchange efficiency of industrial furnace - Google Patents
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本發明是關於一種復甦工業爐之熱交換效率的方法,且特別是關於一種針對工業爐的自預熱式燃燒器之熱交換鰭片老化而提出的復甦工業爐之熱交換效率的方法。The present invention relates to a method for recovering the heat exchange efficiency of an industrial furnace, and in particular to a method for recovering the heat exchange efficiency of an industrial furnace for aging heat exchange fins of a self-preheating burner of the industrial furnace.
自預熱式燃燒器為一種附帶熱交換器,而可藉由工業爐中的煙氣回流來預熱助燃氣體,藉此能將廢熱回收、降低能耗的一種燃燒器類型。然而工業爐長期運行,會因熱衝擊、化學腐蝕、機械磨損、材料老化或積碳等原因,而導致工業爐內的自預熱式燃燒器之熱交換鰭片老化,降低熱交換效率,增加能源消耗。熱衝擊指的是高溫與低溫轉換引起的材料結構變化或裂縫,化學腐蝕指的是與腐蝕性氣體的化學反應導致表面腐蝕或積垢,機械磨損指的是運行中的物理撞擊或磨損造成形狀變形或表面光滑度降低,材料老化指的是長時間運行導致的氧化或物理化學變化使材料性能下降。A self-preheating burner is a type of burner that is equipped with a heat exchanger and can preheat the combustion gas by recirculating the flue gas in the industrial furnace, thereby recovering waste heat and reducing energy consumption. However, long-term operation of industrial furnaces can cause the heat exchange fins of the self-preheating burner in the industrial furnace to age due to thermal shock, chemical corrosion, mechanical wear, material aging or carbon deposition, which reduces heat exchange efficiency and increases energy consumption. Thermal shock refers to changes in material structure or cracks caused by the transition between high and low temperatures. Chemical corrosion refers to surface corrosion or fouling caused by chemical reactions with corrosive gases. Mechanical wear refers to physical impact or wear during operation that causes shape deformation or reduced surface smoothness. Material aging refers to oxidation or physical and chemical changes caused by long-term operation that degrade material performance.
為了解決上述問題,本發明提出一種復甦工業爐之熱交換效率的方法,先判斷工業爐內的自預熱式燃燒器之交換器鰭片是否老化,當判定工業爐內的自預熱式燃燒器之交換器鰭片為老化狀態則利用多目標最佳化(multi-objective optimization)演算法來找出最適燃燒器切換時間與最適燃燒器切換模式並據以控制工業爐之自預熱式燃燒器運作,以達到復甦工業爐之熱交換效率的目的。In order to solve the above problems, the present invention proposes a method for recovering the heat exchange efficiency of an industrial furnace. First, it is determined whether the exchanger fins of the self-preheating burner in the industrial furnace are aged. When it is determined that the exchanger fins of the self-preheating burner in the industrial furnace are aged, a multi-objective optimization algorithm is used to find the optimal burner switching time and the optimal burner switching mode and control the operation of the self-preheating burner of the industrial furnace accordingly, so as to achieve the purpose of recovering the heat exchange efficiency of the industrial furnace.
本發明所採用的技術方案是一種復甦工業爐之熱交換效率的方法包括:計算工業爐之目前熱交換效率值;當目前熱交換效率值小於熱交換效率閾值時,判定工業爐的多個自預熱式燃燒器之熱交換鰭片為老化狀態;及當判定所述多個自預熱式燃燒器之熱交換鰭片為老化狀態時,對工業爐執行復甦操作。復甦操作包括:執行多目標最佳化演算法,從多個候選燃燒器切換時間與多個候選燃燒器切換模式之中,獲取最適燃燒器切換時間與最適燃燒器切換模式;及應用最適燃燒器切換時間與最適燃燒器切換模式來控制所述多個自預熱式燃燒器。The technical solution adopted by the present invention is a method for recovering the heat exchange efficiency of an industrial furnace, including: calculating the current heat exchange efficiency value of the industrial furnace; when the current heat exchange efficiency value is less than the heat exchange efficiency threshold value, determining that the heat exchange fins of multiple self-preheating burners of the industrial furnace are in an aged state; and when it is determined that the heat exchange fins of the multiple self-preheating burners are in an aged state, performing a recovery operation on the industrial furnace. The recovery operation includes: executing a multi-objective optimization algorithm to obtain an optimal burner switching time and an optimal burner switching mode from a plurality of candidate burner switching times and a plurality of candidate burner switching modes; and applying the optimal burner switching time and the optimal burner switching mode to control the plurality of self-preheating burners.
在一些實施例中,所述復甦工業爐之熱交換效率的方法更包括:獲取工業爐之出廠熱交換效率值;及根據出廠熱交換效率值來訂定出熱交換效率閾值。其中出廠熱交換效率值為所述多個自預熱式燃燒器於第一次進行燃燒操作時所量測並計算而得之熱交換效率值。其中熱交換效率閾值為出廠熱交換效率值乘上一個百分率。In some embodiments, the method for recovering the heat exchange efficiency of the industrial furnace further includes: obtaining the heat exchange efficiency value of the industrial furnace at the factory; and determining the heat exchange efficiency threshold value according to the heat exchange efficiency value at the factory. The heat exchange efficiency value at the factory is the heat exchange efficiency value measured and calculated when the plurality of self-preheating burners perform the combustion operation for the first time. The heat exchange efficiency threshold value is the heat exchange efficiency value at the factory multiplied by a percentage.
在一些實施例中,所述復甦工業爐之熱交換效率的方法更包括:於執行復甦操作之後,計算工業爐之復甦後熱交換效率值;及當復甦後熱交換效率值不大於熱交換效率閾值時,對工業爐執行停機檢修。In some embodiments, the method for recovering the heat exchange efficiency of an industrial furnace further includes: calculating the heat exchange efficiency value of the industrial furnace after recovery after performing the recovery operation; and shutting down the industrial furnace for maintenance when the heat exchange efficiency value after recovery is not greater than the heat exchange efficiency threshold.
在一些實施例中,當目前熱交換效率值不小於熱交換效率閾值時或者是當復甦後熱交換效率值大於熱交換效率閾值時,所述多個自預熱式燃燒器繼續使用當前操作參數來進行燒燃操作,並於間隔一預定時段後再次計算目前熱交換效率值且當目前熱交換效率值小於熱交換效率閾值時,再次對工業爐執行復甦操作。In some embodiments, when the current heat exchange efficiency value is not less than the heat exchange efficiency threshold or when the heat exchange efficiency value after recovery is greater than the heat exchange efficiency threshold, the multiple self-preheating burners continue to use the current operating parameters to perform combustion operations, and calculate the current heat exchange efficiency value again after a predetermined period of time, and when the current heat exchange efficiency value is less than the heat exchange efficiency threshold, the industrial furnace is recovered again.
在一些實施例中,該些燃燒器的總數為m,復甦操作控制該些燃燒器以分別於第一時間段與第二時間段開啟n個該些燃燒器且關閉其他(m-n)個該些燃燒器,2≦n≦(m/2)。In some embodiments, the total number of the burners is m, and the recovery operation controls the burners to turn on n of the burners and turn off the other (m-n) of the burners in the first time period and the second time period, respectively, 2≦n≦(m/2).
在一些實施例中,上述候選燃燒器切換模式包括交錯開關方案,交錯開關方案包括於第一時間段開啟該些燃燒器中互不相鄰的其中n個,且於第二時間段開啟該些燃燒器中互不相鄰的其中另外n個,並且第一時間段開啟的n個該些燃燒器之其中一者與該第二時間段開啟的n個該些燃燒器之其中一者彼此相鄰,其中第一時間段開啟的n個該些燃燒器完全不同於第二時間段開啟的n個該些燃燒器。In some embodiments, the above-mentioned candidate burner switching mode includes an staggered switching scheme, which includes turning on n of the burners that are not adjacent to each other in a first time period, and turning on another n of the burners that are not adjacent to each other in a second time period, and one of the n burners turned on in the first time period and one of the n burners turned on in the second time period are adjacent to each other, wherein the n burners turned on in the first time period are completely different from the n burners turned on in the second time period.
在一些實施例中,上述候選燃燒器切換模式包括順序開關方案,順序開關方案包括於第一時間段開啟該些燃燒器中的第1個至第n個,且於第二時間段開啟該些燃燒器中的第2個至第n+1個。In some embodiments, the candidate burner switching mode includes a sequential switching scheme, which includes turning on the 1st to nth burners in a first time period and turning on the 2nd to n+1th burners in a second time period.
在一些實施例中,上述第一時間段與第二時間段中每一者的時間長度等於最適燃燒器切換時間,且最適燃燒器切換時間的範圍在6秒至20秒之間。In some embodiments, the time length of each of the first time period and the second time period is equal to the optimal burner switching time, and the optimal burner switching time ranges from 6 seconds to 20 seconds.
在一些實施例中,上述多目標最佳化演算法考慮第一目標函數與第二目標函數,第一目標函數為工業爐的熱交換效率值,第二目標函數為工業爐的均溫性,均溫性為工業爐的最高爐溫與最低爐溫的差值的一半。In some embodiments, the multi-objective optimization algorithm considers a first objective function and a second objective function, wherein the first objective function is the heat exchange efficiency value of the industrial furnace, and the second objective function is the temperature uniformity of the industrial furnace, and the temperature uniformity is half of the difference between the highest furnace temperature and the lowest furnace temperature of the industrial furnace.
在一些實施例中,上述多目標最佳化演算法的目標包括:最大化第一目標函數以及最小化第二目標函數。In some embodiments, the objectives of the multi-objective optimization algorithm include: maximizing a first objective function and minimizing a second objective function.
為讓本發明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 features and advantages of the present invention more clearly understood, embodiments are specifically cited below and described in detail with reference to the accompanying drawings.
以下仔細討論本發明的實施例。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、揭示之實施例僅供說明,並非用以限定本發明之範圍。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。The following is a detailed discussion of embodiments of the present invention. However, it is understood that the embodiments provide many applicable concepts that can be implemented in a variety of specific contexts. The embodiments discussed and disclosed are for illustration only and are not intended to limit the scope of the present invention. The terms "first", "second", etc. used herein do not specifically refer to order or sequence, but are only used to distinguish between components or operations described with the same technical terms.
圖1係根據本發明的實施例之復甦工業爐之熱交換效率的方法的流程圖。於步驟S1,獲取工業爐之出廠熱交換效率值。工業爐內具有多個自預熱式燃燒器,步驟S1的出廠熱交換效率值為工業爐的多個自預熱式燃燒器於第一次進行燃燒操作時所量測並計算而得之熱交換效率值。熱交換效率值的計算公式如下列方程式(1)所示:FIG. 1 is a flow chart of a method for recovering the heat exchange efficiency of an industrial furnace according to an embodiment of the present invention. In step S1, the heat exchange efficiency value of the industrial furnace is obtained. The industrial furnace has a plurality of self-preheating burners. The heat exchange efficiency value of step S1 is the heat exchange efficiency value measured and calculated when the plurality of self-preheating burners of the industrial furnace perform the combustion operation for the first time. The calculation formula of the heat exchange efficiency value is shown in the following equation (1):
(1) (1)
圖2係根據本發明的實施例之自預熱式燃燒器的示意圖,舉例而言,可在工業爐內的多個自預熱式燃燒器之各自的預熱空氣出口端OUT設置溫度感測器(如熱電偶)而取得進行燃燒操作時在複數個預熱空氣出口端OUT的溫度值(即預熱空氣溫度),也同時在工業爐內的多個自預熱式燃燒器之各自的煙氣入口端IN設置溫度感測器(如熱電偶)而取得進行燃燒操作時在複數個煙氣入口端IN的溫度值(即爐溫)。FIG2 is a schematic diagram of a self-preheating burner according to an embodiment of the present invention. For example, a temperature sensor (such as a thermocouple) can be installed at each preheating air outlet port OUT of a plurality of self-preheating burners in an industrial furnace to obtain the temperature values (i.e., the preheating air temperature) at the plurality of preheating air outlet ports OUT during the combustion operation. At the same time, a temperature sensor (such as a thermocouple) can be installed at each flue gas inlet port IN of the plurality of self-preheating burners in the industrial furnace to obtain the temperature values (i.e., the furnace temperature) at the plurality of flue gas inlet ports IN during the combustion operation.
由上述可知,每個自預熱式燃燒器都各自有其預熱空氣溫度及爐溫。在一些實施例中,燃燒操作所對應的熱交換效率值可以利用統計的方法(例如,以最小值、最大值、平均值或中位數等)來找出一個可代表多個自預熱式燃燒器進行燃燒操作的熱交換效率值,但本發明之實施例並不受限於此。As can be seen from the above, each self-preheating burner has its own preheating air temperature and furnace temperature. In some embodiments, the heat exchange efficiency value corresponding to the combustion operation can be found by using a statistical method (e.g., using a minimum value, a maximum value, an average value, or a median, etc.) to find a heat exchange efficiency value that can represent the combustion operation of multiple self-preheating burners, but the embodiments of the present invention are not limited thereto.
於步驟S2,根據於步驟S1所獲取之出廠熱交換效率值來訂定出熱交換效率閾值。在本發明的實施例中,熱交換效率閾值為出廠熱交換效率值乘上一個百分率。舉例而言,熱交換效率閾值可為出廠熱交換效率值的70%、80%或90%等,可依據實際需求自行設定該百分率,以訂定出熱交換效率閾值。In step S2, the heat exchange efficiency threshold is determined based on the factory heat exchange efficiency value obtained in step S1. In the embodiment of the present invention, the heat exchange efficiency threshold is the factory heat exchange efficiency value multiplied by a percentage. For example, the heat exchange efficiency threshold can be 70%, 80% or 90% of the factory heat exchange efficiency value, and the percentage can be set according to actual needs to determine the heat exchange efficiency threshold.
於步驟S3,計算工業熱處理爐之當前的熱交換效率值(在本發明中稱為目前熱交換效率值)。熱交換效率值的計算公式如上述方程式(1)。In step S3, the current heat exchange efficiency value of the industrial heat treatment furnace (referred to as the current heat exchange efficiency value in the present invention) is calculated. The calculation formula of the heat exchange efficiency value is as shown in the above equation (1).
於步驟S4,判斷目前熱交換效率值是否小於熱交換效率閾值。當步驟S4的判斷結果為是,則判定工業爐之自預熱式燃燒器的熱交換鰭片為老化狀態並進入步驟S5:對工業爐執行復甦操作,以復甦工業爐之熱交換效率。In step S4, it is determined whether the current heat exchange efficiency value is less than the heat exchange efficiency threshold value. When the determination result of step S4 is yes, it is determined that the heat exchange fins of the self-preheating burner of the industrial furnace are in an aging state and the process proceeds to step S5: a recovery operation is performed on the industrial furnace to recover the heat exchange efficiency of the industrial furnace.
上述工業爐之自預熱式燃燒器的熱交換鰭片在工業爐中主要扮演熱交換的角色,其壽命和性能直接影響到工業爐的運行效率和壽命。當因為工業爐長期運行而導致熱交換鰭片老化會造成工業爐之熱交換效率降低,而本發明是透過對工業爐執行復甦操作來提高(或稱為復甦)熱交換效率。The heat exchange fins of the self-preheating burner of the above industrial furnace mainly play the role of heat exchange in the industrial furnace, and their life and performance directly affect the operating efficiency and life of the industrial furnace. When the heat exchange fins age due to long-term operation of the industrial furnace, the heat exchange efficiency of the industrial furnace will decrease. The present invention improves (or is called rejuvenating) the heat exchange efficiency by performing a rejuvenating operation on the industrial furnace.
具體而言,於步驟S4中,若目前熱交換效率值小於熱交換效率閾值,表示工業爐因長期運行導致自預熱式燃燒器的熱交換鰭片老化而造成工業爐之熱交換效率降低,因此需透過步驟S5之復甦操作來提高(或稱為復甦)工業爐之熱交換效率。Specifically, in step S4, if the current heat exchange efficiency value is less than the heat exchange efficiency threshold value, it means that the heat exchange fins of the self-preheating burner of the industrial furnace have aged due to long-term operation, resulting in a decrease in the heat exchange efficiency of the industrial furnace. Therefore, the recovery operation of step S5 is required to improve (or is called recovery) the heat exchange efficiency of the industrial furnace.
此外,當步驟S4的判斷結果為否,則進入步驟S9,工業爐繼續使用當前操作參數來進行燃燒操作。In addition, when the judgment result of step S4 is no, the process proceeds to step S9, and the industrial furnace continues to use the current operating parameters to perform combustion operation.
步驟S5之復甦操作依序包括步驟S51與步驟S52。於步驟S511,執行多目標最佳化(multi-objective optimization)演算法,從多個候選燃燒器切換時間與多個候選燃燒器切換模式之中獲取一個最適燃燒器切換時間與一個最適燃燒器切換模式。於步驟S52,應用該最適燃燒器切換時間與該最適燃燒器切換模式來控制工業爐之多個自預熱式燃燒器以對應地執行燃燒操作。The recovery operation of step S5 includes step S51 and step S52 in sequence. In step S511, a multi-objective optimization algorithm is executed to obtain an optimal burner switching time and an optimal burner switching mode from a plurality of candidate burner switching times and a plurality of candidate burner switching modes. In step S52, the optimal burner switching time and the optimal burner switching mode are applied to control a plurality of self-preheating burners of the industrial furnace to perform combustion operations accordingly.
具體而言,本發明透過步驟S5之復甦操作來控制工業爐之多個自預熱式燃燒器之開啟/關閉的切換時間與切換模式。其中,適當的切換時間可以確保熱交換條件的穩定,提高熱交換效率。其中,透過適當的調整自預熱式燃燒器的切換模式,可以優化熱量分佈和提高熱交換效率。Specifically, the present invention controls the on/off switching time and switching mode of multiple self-preheating burners of the industrial furnace through the recovery operation of step S5. Among them, the appropriate switching time can ensure the stability of heat exchange conditions and improve the heat exchange efficiency. Among them, by properly adjusting the switching mode of the self-preheating burner, the heat distribution can be optimized and the heat exchange efficiency can be improved.
本發明提出多種不同的燃燒器切換時間(意即,多個候選燃燒器切換時間)和多種不同的燃燒器切換模式(意即,多個候選燃燒器切換模式),而構成多組的單一候選燃燒器切換時間與單一候選燃燒器切換模式之組合,而若根據這些組合來分別控制控制工業爐之自預熱式燃燒器對應地執行燃燒操作,將會有不同的熱交換效率與不同的爐體均溫性。因此,本發明透過步驟S51之多目標最佳化演算法來獲取一個最適燃燒器切換時間與一個最適燃燒器切換模式,並據以控制工業爐之自預熱式燃燒器對應地執行燃燒操作,以達到復甦工業爐之熱交換效率的目的。The present invention proposes a plurality of different burner switching times (i.e., a plurality of candidate burner switching times) and a plurality of different burner switching modes (i.e., a plurality of candidate burner switching modes), and constitutes a plurality of groups of combinations of a single candidate burner switching time and a single candidate burner switching mode. If the self-preheating burners of the industrial furnace are controlled separately according to these combinations to perform combustion operations accordingly, there will be different heat exchange efficiencies and different furnace body temperature uniformity. Therefore, the present invention obtains an optimal burner switching time and an optimal burner switching mode through a multi-objective optimization algorithm in step S51, and controls the self-preheating burner of the industrial furnace to perform combustion operations accordingly, so as to achieve the purpose of recovering the heat exchange efficiency of the industrial furnace.
在本發明的實施例中,多個候選燃燒器切換時間包括:6秒、7秒、...、20秒。在本發明的實施例中,多個候選燃燒器切換模式包括:交錯開關方案與順序開關方案。In an embodiment of the present invention, a plurality of candidate burner switching times include: 6 seconds, 7 seconds, ..., 20 seconds. In an embodiment of the present invention, a plurality of candidate burner switching modes include: an interleaved switching scheme and a sequential switching scheme.
圖3用以說明交錯開關方案的操作方式。圖3中的自預熱式燃燒器以總數6(即自預熱式燃燒器B1~B6)、開啟2、關閉4為例,且圖3中的自預熱式燃燒器所採用的燃燒器切換時間為6秒。如圖3所示,圖3的交錯開關方案於第一時間段T1(即圖3的左圖)(即0~6秒)開啟6個自預熱式燃燒器中互不相鄰的其中2個(即自預熱式燃燒器B1、B3),圖3的交錯開關方案於第二時間段T2(即圖3的右圖)(即6~12秒)開啟6個自預熱式燃燒器中互不相鄰的其中另外2個(即自預熱式燃燒器B2、B4)。於第一時間段T1開啟的自預熱式燃燒器B1、B3之其中一者與於第二時間段T2開啟的自預熱式燃燒器B2、B4之其中一者彼此相鄰。第一時間段T1開啟的自預熱式燃燒器B1、B3完全不同於第二時間段T2開啟的自預熱式燃燒器B2、B4。換言之,第一時間段T1(即0~6秒)與第二時間段T2(即6~12秒)中每一者的時間長度(即6秒)等於燃燒器切換時間(即6秒)。FIG3 is used to illustrate the operation of the staggered switching scheme. The self-preheating burners in FIG3 are taken as an example, with a total of 6 (i.e., self-preheating burners B1 to B6), 2 on, and 4 off, and the burner switching time adopted by the self-preheating burners in FIG3 is 6 seconds. As shown in FIG3 , the staggered switching scheme of FIG3 turns on two of the six self-preheating burners (i.e., self-preheating burners B1 and B3) that are not adjacent to each other in the first time period T1 (i.e., the left figure of FIG3 ) (i.e., 0 to 6 seconds), and the staggered switching scheme of FIG3 turns on the other two of the six self-preheating burners (i.e., self-preheating burners B2 and B4) that are not adjacent to each other in the second time period T2 (i.e., the right figure of FIG3 ) (i.e., 6 to 12 seconds). One of the self-preheating burners B1 and B3 turned on in the first time period T1 and one of the self-preheating burners B2 and B4 turned on in the second time period T2 are adjacent to each other. The self-preheating burners B1 and B3 turned on in the first time period T1 are completely different from the self-preheating burners B2 and B4 turned on in the second time period T2. In other words, the time length (i.e., 6 seconds) of each of the first time period T1 (i.e., 0-6 seconds) and the second time period T2 (i.e., 6-12 seconds) is equal to the burner switching time (i.e., 6 seconds).
應注意的是,為了方便說明,圖3中並沒有繪出第二時間段T2之後的操作,但本領域技術人員應理解,依據圖3呈現出的規則,在第二時間段T2之後的下一時間段(即13~18秒)為開啟自預熱式燃燒器B3、B5,且在19~24秒為開啟自預熱式燃燒器B4、B6,且在25~30秒為開啟自預熱式燃燒器B5、B1,且在31~36秒為開啟自預熱式燃燒器B6、B2,且在37~42秒為開啟自預熱式燃燒器B1、B3,依此類推。It should be noted that, for the sake of convenience of explanation, FIG3 does not show the operations after the second time period T2, but those skilled in the art should understand that, according to the rule presented in FIG3, the self-preheating burners B3 and B5 are turned on in the next time period after the second time period T2 (i.e., 13 to 18 seconds), and the self-preheating burners B4 and B6 are turned on at 19 to 24 seconds, and the self-preheating burners B5 and B1 are turned on at 25 to 30 seconds, and the self-preheating burners B6 and B2 are turned on at 31 to 36 seconds, and the self-preheating burners B1 and B3 are turned on at 37 to 42 seconds, and so on.
圖4用以說明順序開關方案的操作方式。圖4中的自預熱式燃燒器以總數6(即自預熱式燃燒器B1~B6)、開啟2、關閉4為例,且圖4中的自預熱式燃燒器所採用的燃燒器切換時間為6秒。如圖4所示,圖4的順序開關方案於第一時間段T1(即圖4的左圖)開啟6個自預熱式燃燒器中的第1個至第2個(即自預熱式燃燒器B1、B2),圖4的順序開關方案於第二時間段T2(即圖4的右圖)開啟6個自預熱式燃燒器中的第2個至第3個(即自預熱式燃燒器B2、B3)。FIG4 is used to illustrate the operation of the sequential switching scheme. The self-preheating burners in FIG4 are taken as an example, with a total of 6 (i.e., self-preheating burners B1 to B6), 2 turned on, and 4 turned off, and the burner switching time adopted by the self-preheating burners in FIG4 is 6 seconds. As shown in FIG4, the sequential switching scheme of FIG4 turns on the first to the second of the 6 self-preheating burners (i.e., self-preheating burners B1 and B2) in the first time period T1 (i.e., the left figure of FIG4), and the sequential switching scheme of FIG4 turns on the second to the third of the 6 self-preheating burners (i.e., self-preheating burners B2 and B3) in the second time period T2 (i.e., the right figure of FIG4).
應注意的是,為了方便說明,圖4中並沒有繪出第二時間段T2之後的操作,但本領域技術人員應理解,依據圖4呈現出的規則,在第二時間段T2之後的下一時間段(即13~18秒)為開啟自預熱式燃燒器B3、B4,且在19~24秒為開啟自預熱式燃燒器B4、B5,且在25~30秒為開啟自預熱式燃燒器B5、B6,且在31~36秒為開啟自預熱式燃燒器B6、B1,且在37~42秒為開啟自預熱式燃燒器B1、B2,依此類推。It should be noted that, for the sake of convenience of explanation, FIG4 does not show the operations after the second time period T2, but those skilled in the art should understand that, according to the rule presented in FIG4, the self-preheating burners B3 and B4 are turned on in the next time period after the second time period T2 (i.e., 13 to 18 seconds), and the self-preheating burners B4 and B5 are turned on at 19 to 24 seconds, and the self-preheating burners B5 and B6 are turned on at 25 to 30 seconds, and the self-preheating burners B6 and B1 are turned on at 31 to 36 seconds, and the self-preheating burners B1 and B2 are turned on at 37 to 42 seconds, and so on.
在本發明的實施例中,自預熱式燃燒器的總數為m,步驟S5之復甦操作控制該些m個自預熱式燃燒器以分別於第一時間段與第二時間段開啟n個該些自預熱式燃燒器且關閉其他(m-n)個該些自預熱式燃燒器,其中2≦n≦(m/2)。In an embodiment of the present invention, the total number of self-preheating burners is m, and the recovery operation of step S5 controls the m self-preheating burners to turn on n of the self-preheating burners and turn off the other (m-n) of the self-preheating burners in the first time period and the second time period, respectively, where 2≦n≦(m/2).
此外,由於一個最適燃燒器切換時間與一個最適燃燒器切換模式是取自多個候選燃燒器切換時間與多個候選燃燒器切換模式,因此第一時間段與第二時間段中每一者的時間長度等於最適燃燒器切換時間,且最適燃燒器切換時間的範圍在6秒至20秒之間,且最適燃燒器切換模式為交錯開關方案或順序開關方案。In addition, since an optimal burner switching time and an optimal burner switching mode are taken from multiple candidate burner switching times and multiple candidate burner switching modes, the time length of each of the first time period and the second time period is equal to the optimal burner switching time, and the optimal burner switching time ranges from 6 seconds to 20 seconds, and the optimal burner switching mode is an interlaced switching scheme or a sequential switching scheme.
步驟S51的多目標最佳化演算法考慮第一目標函數與第二目標函數,第一目標函數為工業爐的熱交換效率值,第二目標函數為工業爐的均溫性,均溫性為該工業爐的最高爐溫與最低爐溫的差值的一半。The multi-objective optimization algorithm of step S51 considers a first objective function and a second objective function, wherein the first objective function is the heat exchange efficiency value of the industrial furnace, and the second objective function is the temperature uniformity of the industrial furnace, and the temperature uniformity is half of the difference between the highest furnace temperature and the lowest furnace temperature of the industrial furnace.
步驟S51的多目標最佳化演算法的目標包括:最大化第一目標函數以及最小化第二目標函數,意即,步驟S51的多目標最佳化演算法的目標為熱交換效率高以及爐溫溫差小,然而上述目標僅為例示,本發明不限於此。舉例而言,多目標最佳化演算法的目標也可為第二目標函數小於20℃的前提下,最大化第一目標函數。The objectives of the multi-objective optimization algorithm of step S51 include: maximizing the first objective function and minimizing the second objective function, that is, the objectives of the multi-objective optimization algorithm of step S51 are high heat exchange efficiency and small furnace temperature difference, but the above objectives are only examples, and the present invention is not limited thereto. For example, the objective of the multi-objective optimization algorithm can also be to maximize the first objective function under the premise that the second objective function is less than 20°C.
在本發明的實施例中,步驟S51的多目標最佳化演算法包括判定柏拉圖前緣(Pareto front),其中柏拉圖前緣建立第一目標函數與第二目標函數之間的關係,可判定柏拉圖前緣以建立任何適合之第一目標函數與第二目標函數之間的關係。In an embodiment of the present invention, the multi-objective optimization algorithm of step S51 includes determining a Pareto front, wherein the Pareto front establishes a relationship between a first objective function and a second objective function. The Pareto front can be determined to establish a relationship between any suitable first objective function and a second objective function.
柏拉圖前緣可用於處理多目標最佳化問題,需同時考慮多個目標函數(第一目標函數與第二目標函數),使用柏拉圖前緣找到多樣解,並獲取一組最優解。柏拉圖前緣包含:非支配排序、擁擠度計算與精英保留策略。非支配排序區分解的優劣。擁擠度計算則是擁擠度值越大,表示該解與其鄰近解的距離越遠,該解的多樣性越高;反之,擁擠度值越小,表示該解與其鄰近解的距離越近,該解的多樣性越低。精英保留策略用於保留優秀個體,以加速演算法的收斂速度和提高搜索效率。The Pareto front can be used to deal with multi-objective optimization problems. It is necessary to consider multiple objective functions (primary objective function and secondary objective function) at the same time, use the Pareto front to find multiple solutions, and obtain a set of optimal solutions. The Pareto front includes: non-dominated sorting, crowding calculation and elite retention strategy. Non-dominated sorting distinguishes the pros and cons of decomposition. The crowding calculation is that the larger the crowding value, the farther the distance between the solution and its neighboring solutions, and the higher the diversity of the solution; conversely, the smaller the crowding value, the closer the distance between the solution and its neighboring solutions, and the lower the diversity of the solution. The elite retention strategy is used to retain excellent individuals to accelerate the convergence speed of the algorithm and improve the search efficiency.
具體而言,藉由第一目標函數與第二目標函數搭配多目標最佳化演算法以求得多個非支配解(或稱為決策變數)。更進一步的說,就是利用第一目標函數與第二目標函數搭配多目標最佳化演算法尋找多個非支配解所形成之柏拉圖前緣。在本發明的實施例中,非支配解為一組候選燃燒器切換時間與候選燃燒器切換模式,對被它所支配的解而言,它在每個目標函數上都有較佳的結果,但是若與另一非支配解相比,則兩個非支配解必定在第一目標函數或第二目標函數上有其較佳的結果,也就是說這兩個非支配解有它們各自獨特較佳的目標值。非支配解是在多目標最佳化演算法之決策下所能做的最好決策,更精確地來說是在第一目標函數與第二目標函數之間找到一個最適折衷方案,它讓一個非支配解在某個決策目標(例如最大化第一目標函數以及最小化第二目標函數)有它獨特的優勢。另外值得一提的是,由於多目標最佳化演算法之柏拉圖前緣搜尋一般來說是較為複雜的,因此本發明還可以透過使用歷史數據(另外也可先對歷史數據進行數據前處理)來進行建模的方式來進一步優化這個問題。Specifically, a plurality of non-dominated solutions (or decision variables) are obtained by combining the first objective function and the second objective function with a multi-objective optimization algorithm. More specifically, the first objective function and the second objective function are combined with a multi-objective optimization algorithm to find a Pareto front formed by a plurality of non-dominated solutions. In an embodiment of the present invention, a non-dominated solution is a set of candidate burner switching times and candidate burner switching modes. For the solution dominated by it, it has better results on each objective function, but if compared with another non-dominated solution, the two non-dominated solutions must have better results on the first objective function or the second objective function, that is, the two non-dominated solutions have their own unique and better target values. A non-dominated solution is the best decision that can be made under the decision of a multi-objective optimization algorithm. More precisely, it is to find an optimal compromise between the first objective function and the second objective function, which allows a non-dominated solution to have a unique advantage in a certain decision objective (such as maximizing the first objective function and minimizing the second objective function). It is also worth mentioning that since the Pareto frontier search of a multi-objective optimization algorithm is generally more complicated, the present invention can further optimize this problem by using historical data (in addition, the historical data can also be pre-processed) to model the model.
圖5展現建立第一目標函數f 1與第二目標函數f 2之間的關係之一維柏拉圖前緣。如上所述,柏拉圖前緣的決策方式是在第一目標函數與第二目標函數之間找到一個最適折衷方案。柏拉圖前緣被定義為與多目標最佳化問題相關聯之第一目標函數與第二目標函數之間的關係。柏拉圖前緣可藉由演算多個候選燃燒器切換時間與多個候選燃燒器切換模式來建立,且針對每一組候選燃燒器切換時間與候選燃燒器切換模式判定目標函數之量度。在圖5中,每個圓點表示應用各組候選燃燒器切換時間與候選燃燒器切換模式來控制工業爐之自預熱式燃燒器後所得之第一目標函數數值(即工業爐的熱交換效率值)與第二目標函數數值(即工業爐的均溫性)。 FIG. 5 shows a Via Plato front for establishing a relationship between a first objective function f1 and a second objective function f2 . As described above, the decision-making method of the Plato front is to find an optimal compromise between the first objective function and the second objective function. The Plato front is defined as a relationship between a first objective function and a second objective function associated with a multi-objective optimization problem. The Plato front can be established by calculating a plurality of candidate burner switching times and a plurality of candidate burner switching modes, and determining the measure of the objective function for each set of candidate burner switching times and candidate burner switching modes. In FIG. 5 , each dot represents the first target function value (i.e., the heat exchange efficiency value of the industrial furnace) and the second target function value (i.e., the temperature uniformity of the industrial furnace) obtained after applying each set of candidate burner switching time and candidate burner switching mode to control the self-preheating burner of the industrial furnace.
關於更多「多目標最佳化(multi-objective optimization)」的說明,可參考Wikipedia網站上關於「Multi-objective optimization」的說明(http://en.wikipedia.org/wiki/Multiobjective_optimization)。關於更多「柏拉圖前緣(Pareto front)」的說明,可參考Wikipedia網站上的說明(https://en.wikipedia.org/wiki/Pareto_front)。此外,本發明並不欲限定特定「多目標最佳化」求解的方式,舉例來說,除了採用柏拉圖前緣的方式之外,本發明亦可將各組候選燃燒器切換時間與候選燃燒器切換模式分配不同的權重(weight),進而採用「分析層級程序(Analytical Hierarchy Process,AHP)」的方式來求取「多目標最佳化」。關於「分析層級程序」,可參考Wikipedia網站上關於「分析層級程序」的說明(http://en.wikipedia.org/wiki/Analytic_Hierarchy_Process)。For more information about "multi-objective optimization", please refer to the description of "Multi-objective optimization" on the Wikipedia website (http://en.wikipedia.org/wiki/Multiobjective_optimization). For more information about "Pareto front", please refer to the description on the Wikipedia website (https://en.wikipedia.org/wiki/Pareto_front). In addition, the present invention is not intended to limit the specific method of solving "multi-objective optimization". For example, in addition to using the Pareto front method, the present invention can also assign different weights to each set of candidate burner switching time and candidate burner switching mode, and then use the "Analytical Hierarchy Process (AHP)" method to obtain "multi-objective optimization". For more information about "Analytic Hierarchy Process", please refer to the description of "Analytic Hierarchy Process" on the Wikipedia website (http://en.wikipedia.org/wiki/Analytic_Hierarchy_Process).
步驟S52之應用該最適燃燒器切換時間與該最適燃燒器切換模式來控制工業爐之多個自預熱式燃燒器以對應地執行燃燒操作的具體作法為透過可程式化邏輯控制器(programmable logic controller,PLC)回饋控制來實現。詳細而言,可將該最適燃燒器切換時間與該最適燃燒器切換模式輸入可程式化邏輯控制器來控制工業爐之多個自預熱式燃燒器的開啟/關閉。The specific method of applying the optimal burner switching time and the optimal burner switching mode to control the multiple self-preheating burners of the industrial furnace to perform combustion operations accordingly in step S52 is to be realized through a programmable logic controller (PLC) feedback control. In detail, the optimal burner switching time and the optimal burner switching mode can be input into the programmable logic controller to control the opening/closing of the multiple self-preheating burners of the industrial furnace.
請回到圖1,在步驟S5對工業爐執行了復甦操作之後,進入步驟S6,計算在經過復甦操作之後的工業爐之熱交換效率值(在本發明中稱為復甦後熱交換效率值)。熱交換效率值的計算公式如上述方程式(1)。Please return to Figure 1. After the industrial furnace is revived in step S5, the process proceeds to step S6 to calculate the heat exchange efficiency value of the industrial furnace after the revivification operation (referred to as the post-revivification heat exchange efficiency value in the present invention). The heat exchange efficiency value calculation formula is as shown in the above equation (1).
於步驟S7,判斷復甦後熱交換效率值是否大於熱交換效率閾值。當步驟S7的判斷結果為是,則回到步驟S9,工業爐繼續使用當前操作參數來進行燃燒操作。當步驟S7的判斷結果為否,則表示已無法透過復甦操作來提高(或稱為復甦)工業爐之熱交換效率,其原因可能為工業爐之自預熱式燃燒器的熱交換鰭片已老化太嚴重或其他爐體問題,單純透過執行復甦操作已無法讓工業爐回復熱交換效率,因此需要對工業爐執行停機檢修(即步驟S8)。In step S7, it is determined whether the heat exchange efficiency value after recovery is greater than the heat exchange efficiency threshold value. When the result of the determination in step S7 is yes, it returns to step S9, and the industrial furnace continues to use the current operating parameters to perform combustion operations. When the result of the determination in step S7 is no, it means that the heat exchange efficiency of the industrial furnace cannot be improved (or called recovery) through the recovery operation. The reason may be that the heat exchange fins of the self-preheating burner of the industrial furnace have aged too seriously or there are other furnace problems. Simply performing the recovery operation cannot restore the heat exchange efficiency of the industrial furnace, so it is necessary to shut down the industrial furnace for maintenance (i.e., step S8).
另外,由於熱交換鰭片老化的原因是源自工業爐長期運行,因此於步驟S9之工業爐繼續使用當前操作參數來進行燃燒操作之後,會在間隔一預定時段(即步驟S10)才再次回到步驟S3而計算目前熱交換效率值,並接著進行步驟S4檢查目前熱交換效率值是否小於熱交換效率閾值以決定是否要執行步驟S5的復甦操作。In addition, since the cause of aging of the heat exchange fins is due to the long-term operation of the industrial furnace, after the industrial furnace in step S9 continues to use the current operating parameters to perform combustion operations, it will return to step S3 again after a predetermined period of time (i.e., step S10) to calculate the current heat exchange efficiency value, and then perform step S4 to check whether the current heat exchange efficiency value is less than the heat exchange efficiency threshold value to determine whether to perform the recovery operation of step S5.
綜合上述,本發明提出一種復甦工業爐之熱交換效率的方法,先判斷工業爐的自預熱式燃燒器之熱交換鰭片是否老化,當判定工業爐的自預熱式燃燒器之熱交換鰭片為老化狀態則利用多目標最佳化(multi-objective optimization)演算法來找出最適燃燒器切換時間與最適燃燒器切換模式並據以控制工業爐之自預熱式燃燒器運作,以達到復甦工業爐之熱交換效率的目的。本發明的可達成的較佳效益包括:(1)延長設備壽命:通過復甦操作與停爐檢查,可以適時對設備進行維護和修理,進而延長爐體的使用壽命,降低長期的更換和維修成本。(2)效能提升:有效地提高熱交換效率,使其能夠更有效地進行熱交換。(3)智慧決策:透過建模及多目標最佳化演算法來制定維護計劃和管理策略,讓決策更具有依據,進一步提升管理效率。In summary, the present invention proposes a method for recovering the heat exchange efficiency of an industrial furnace. First, it is determined whether the heat exchange fins of the self-preheating burner of the industrial furnace are aged. When it is determined that the heat exchange fins of the self-preheating burner of the industrial furnace are aged, a multi-objective optimization algorithm is used to find the optimal burner switching time and the optimal burner switching mode and control the operation of the self-preheating burner of the industrial furnace accordingly, so as to achieve the purpose of recovering the heat exchange efficiency of the industrial furnace. The preferred benefits that can be achieved by the present invention include: (1) Extending the life of equipment: Through recovery operations and shutdown inspections, equipment can be maintained and repaired in a timely manner, thereby extending the service life of the furnace body and reducing long-term replacement and maintenance costs. (2) Efficiency improvement: Effectively improve the heat exchange efficiency, enabling it to perform heat exchange more effectively. (3) Smart decision-making: Through modeling and multi-objective optimization algorithms to formulate maintenance plans and management strategies, decisions are more based on evidence and management efficiency is further improved.
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發明的態樣。熟習此技藝者應了解到,其可輕易地把本發明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發明的精神與範圍,並且他們可以在不脫離本發明精神與範圍的前提下做各種的改變、替換與變動。The above summarizes the features of several embodiments, so that those skilled in the art can better understand the present invention. Those skilled in the art should understand that they can easily use the present invention as a basis to design or modify other processes and structures to achieve the same goals and/or achieve the same advantages as the embodiments introduced herein. Those skilled in the art should also understand that these equivalent constructions do not deviate from the spirit and scope of the present invention, and they can make various changes, substitutions and modifications without departing from the spirit and scope of the present invention.
B1,B2,B3,B4,B5,B6:自預熱式燃燒器 f 1:第一目標函數 f 2:第二目標函數 IN:煙氣入口端 OUT:預熱空氣出口端 S1,S2,S3,S4,S5,S51,S52,S6,S7,S8,S9,S10:步驟 T1:第一時間段 T2:第二時間段B1, B2, B3, B4, B5, B6: self-preheating burner f 1 : first target function f 2 : second target function IN: flue gas inlet OUT: preheating air outlet S1, S2, S3, S4, S5, S51, S52, S6, S7, S8, S9, S10: step T1: first time period T2: second time period
從以下結合所附圖式所做的詳細描述,可對本發明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]係根據本發明的實施例之復甦工業爐之熱交換效率的方法的流程圖。 [圖2]係根據本發明的實施例之自預熱式燃燒器的示意圖。 [圖3]係用以說明交錯開關方案的操作方式。 [圖4]係用以說明順序開關方案的操作方式。 [圖5]展現建立第一目標函數與第二目標函數之間的關係之一維柏拉圖前緣。 The present invention will be better understood from the following detailed description in conjunction with the accompanying drawings. It should be noted that, in accordance with standard industry practice, the features are not drawn to scale. In fact, the dimensions of the features may be increased or decreased at will to facilitate discussion. [FIG. 1] is a flow chart of a method for recovering the heat exchange efficiency of an industrial furnace according to an embodiment of the present invention. [FIG. 2] is a schematic diagram of a self-preheating burner according to an embodiment of the present invention. [FIG. 3] is used to illustrate the operation of the staggered switching scheme. [FIG. 4] is used to illustrate the operation of the sequential switching scheme. [FIG. 5] shows a Viplatograph front edge that establishes a relationship between a first objective function and a second objective function.
S1,S2,S3,S4,S5,S51,S52,S6,S7,S8,S9,S10:步驟 S1,S2,S3,S4,S5,S51,S52,S6,S7,S8,S9,S10: Steps
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| CN106402864A (en) * | 2015-04-17 | 2017-02-15 | 阿自倍尔株式会社 | Combustion controlling device and combustion system |
| CN110655376B (en) * | 2019-10-30 | 2020-11-06 | 北京科技大学 | Steel slag synergistic preparation full-solid waste cementing material and multi-objective optimization method |
| TWI765440B (en) * | 2020-11-30 | 2022-05-21 | 財團法人金屬工業研究發展中心 | Burner control method |
| CN112879935B (en) * | 2021-01-27 | 2022-12-27 | 北京北燃供热有限公司 | Boiler flue gas waste heat recovery-based optimal control method and system |
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| CN106402864A (en) * | 2015-04-17 | 2017-02-15 | 阿自倍尔株式会社 | Combustion controlling device and combustion system |
| CN110655376B (en) * | 2019-10-30 | 2020-11-06 | 北京科技大学 | Steel slag synergistic preparation full-solid waste cementing material and multi-objective optimization method |
| TWI765440B (en) * | 2020-11-30 | 2022-05-21 | 財團法人金屬工業研究發展中心 | Burner control method |
| CN112879935B (en) * | 2021-01-27 | 2022-12-27 | 北京北燃供热有限公司 | Boiler flue gas waste heat recovery-based optimal control method and system |
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