炉温决策中收敛因子的算法
|
摘要
炉温决策是加热炉智能控制的主要任务之一,常规决策过程需多次迭代求取炉温设定值.迭代过程中收敛因子的选取对收敛速度有较大影响,而常规决策方法的收敛因子一般根据经验选取.基于不同条件下被加热钢坯的焓增与边界热流之差对时间积分成正比关系,本文分别推导并提出了计算收敛因子的汇合法、分化法及汇合-分化联合法.汇合法确定收敛因子时无需进行迭代计算,汇合-分化联合法仅需一次迭代计算.对比分析表明:采用汇合-分化联合法确定收敛因子进行炉温决策,仅需一次迭代计算就可达到较高的精度.
The furnace temperature decision is one of the main tasks for intelligent control of the heating furnace.However,the traditional decision-making process requires multiple iterations to obtain the furnace temperature setting value. The selection of the convergence factor in the iterative process has a great influence on the convergence rate,while the convergence factors in traditional decision methods are generally selected based on experience. Based on increase of the heated billet's enthalpy being directly proportional to the time integral of the boundary heat flux D-value under different conditions,in the present paper,the meeting method,separating method and meeting-separating combination method for calculating convergence factors were deduced and proposed. In process of solving the convergence factor via meeting method,iterative calculation can be avoided,while by using meeting-separating combination method,it only need to iterate for one time. The results showed that a high precision can be obtained after iterating for one time by meeting-separating combination method.
The furnace temperature decision is one of the main tasks for intelligent control of the heating furnace.However,the traditional decision-making process requires multiple iterations to obtain the furnace temperature setting value. The selection of the convergence factor in the iterative process has a great influence on the convergence rate,while the convergence factors in traditional decision methods are generally selected based on experience. Based on increase of the heated billet's enthalpy being directly proportional to the time integral of the boundary heat flux D-value under different conditions,in the present paper,the meeting method,separating method and meeting-separating combination method for calculating convergence factors were deduced and proposed. In process of solving the convergence factor via meeting method,iterative calculation can be avoided,while by using meeting-separating combination method,it only need to iterate for one time. The results showed that a high precision can be obtained after iterating for one time by meeting-separating combination method.
引文
[1] Hollander F. Design development and performance of online computer control in a 3-D reheating furnace[J]. Iron and Steel Engineer,1982,59(1):44-52.
[2] Evans D M,Belabe A R,Bovan M R,et al. Reheat furnace supervisory control system at Ipsco Inc[J]. AISE Steel Technology,2000,77(77):33-36.
[3] Jaklic A. Simulation of billet reheating process in walking beam furnace[J]. Metallurgy,2001,40(1):23-27.
[4] Beckert U,Lehnert W. Calculation model for temperature micros ructure development at induction heating[J]. Iron and Steelmaker,2000,27(12):21-26.
[5] Mucakami H,Saito T,Hayashi J,et al. Numerical simulation for the high performance industrial reheating furnace design[J]. Fuels and Combustion Technologies Division FACT,1999,23(1):239-244.
[6]权方民,陈海耿.启发式搜索策略在加热炉动态优化控制中的应用[J].钢铁,2000, 35(6):57-60.(Quan F M,Chen H G. Application of heuristic searching strategy in dynamic optimization control of re-heating furnace[J]. Iron and Steel,2000,35(6):57-60.)
[7] Kuppuswamy S,Abdelraham M. A fuzzy-logic based expert system for cupola furnaces[C]//Proceeding of the Annual Southeastern Symposium of System Theory. Boston,2004,304-308.
[8] Abilov A G, Zeybek Z, Tuzunalp O, et al. Fuzzy temperature control of industrial refineries furnaces through combined feedforward/feedback, multivariable cascade system[J]. Chemical Engineering and Processing,2002,41(1):87-98.
[9]陈海耿,杨泽宽,张卫军,等.天津中板厂燃油加热炉数学模型优化控制[J].工业炉,1995,78(4):48-54.(Chen H G,Yang Z K,Zhang W J,et al. The optimum control of mathematical model of reheating furnace in medium plant of Tian Jin[J]. Industrial Furnace,1995,78(4):48-54.)
[10]宁宝林,陈海耿,杨泽宽.加热炉控制数学模型[J].冶金能源,1989,8(5):37-40.(Ning B L,Chen H G,Yang Z K. The mathematical model of controlling reheating furnace[J]. Energy for Metallurgical Industry,1989,8(5):37-40.)
[11].杨泽宽,康国仁.加热炉优化控制数学模型[J].钢铁,1990,25(12):59-63.(Yang Z K,Kang G R. Mathematical model for optimum control of reheating furnace[J]. Iron and Steel,1990,25(12):59-63)
[12]金仁杰,陈海耿,宁宝林.连续加热炉数学模型控制中的温度决策方法[J].钢铁, 1995,30(1):67-71.(JIN R J,Chen H G,Ning B L. New method for furnace temperature determination in mathematical model control of reheating furnace[J]. Iron and Steel,1995,30(1):67-71.)
[2] Evans D M,Belabe A R,Bovan M R,et al. Reheat furnace supervisory control system at Ipsco Inc[J]. AISE Steel Technology,2000,77(77):33-36.
[3] Jaklic A. Simulation of billet reheating process in walking beam furnace[J]. Metallurgy,2001,40(1):23-27.
[4] Beckert U,Lehnert W. Calculation model for temperature micros ructure development at induction heating[J]. Iron and Steelmaker,2000,27(12):21-26.
[5] Mucakami H,Saito T,Hayashi J,et al. Numerical simulation for the high performance industrial reheating furnace design[J]. Fuels and Combustion Technologies Division FACT,1999,23(1):239-244.
[6]权方民,陈海耿.启发式搜索策略在加热炉动态优化控制中的应用[J].钢铁,2000, 35(6):57-60.(Quan F M,Chen H G. Application of heuristic searching strategy in dynamic optimization control of re-heating furnace[J]. Iron and Steel,2000,35(6):57-60.)
[7] Kuppuswamy S,Abdelraham M. A fuzzy-logic based expert system for cupola furnaces[C]//Proceeding of the Annual Southeastern Symposium of System Theory. Boston,2004,304-308.
[8] Abilov A G, Zeybek Z, Tuzunalp O, et al. Fuzzy temperature control of industrial refineries furnaces through combined feedforward/feedback, multivariable cascade system[J]. Chemical Engineering and Processing,2002,41(1):87-98.
[9]陈海耿,杨泽宽,张卫军,等.天津中板厂燃油加热炉数学模型优化控制[J].工业炉,1995,78(4):48-54.(Chen H G,Yang Z K,Zhang W J,et al. The optimum control of mathematical model of reheating furnace in medium plant of Tian Jin[J]. Industrial Furnace,1995,78(4):48-54.)
[10]宁宝林,陈海耿,杨泽宽.加热炉控制数学模型[J].冶金能源,1989,8(5):37-40.(Ning B L,Chen H G,Yang Z K. The mathematical model of controlling reheating furnace[J]. Energy for Metallurgical Industry,1989,8(5):37-40.)
[11].杨泽宽,康国仁.加热炉优化控制数学模型[J].钢铁,1990,25(12):59-63.(Yang Z K,Kang G R. Mathematical model for optimum control of reheating furnace[J]. Iron and Steel,1990,25(12):59-63)
[12]金仁杰,陈海耿,宁宝林.连续加热炉数学模型控制中的温度决策方法[J].钢铁, 1995,30(1):67-71.(JIN R J,Chen H G,Ning B L. New method for furnace temperature determination in mathematical model control of reheating furnace[J]. Iron and Steel,1995,30(1):67-71.)