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CN1055317C - On-line Control Method of Continuous Annealing Furnace - Google Patents

On-line Control Method of Continuous Annealing Furnace Download PDF

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CN1055317C
CN1055317C CN96109537A CN96109537A CN1055317C CN 1055317 C CN1055317 C CN 1055317C CN 96109537 A CN96109537 A CN 96109537A CN 96109537 A CN96109537 A CN 96109537A CN 1055317 C CN1055317 C CN 1055317C
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furnace
temperature
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CN1149082A (en
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杨建明
符雪桐
张卫平
田玉楚
何春海
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Institute Of Industrial Control Technology Zhejiang University
Baoshan Iron and Steel Co Ltd
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Baosteel Group Corp
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Abstract

The invention discloses an online control method of a continuous annealing furnace, which is characterized in that a dynamic mathematical model of the whole furnace temperature of the annealing furnace is established based on a heat conduction theory to form a hybrid intelligent control system based on mathematical model quantitative calculation and artificial experience qualitative reasoning. The method comprises the steps of carrying out hybrid intelligent coordination on optimization control based on mathematical model quantitative calculation, presetting based on fast and slow variable separation and closed loop feedback intelligent correction by introducing artificial experience on the basis of classical PID to obtain total control quantity of furnace temperature of each furnace section, calculating various control signals through furnace temperature distribution and intelligent split-range, and realizing on-line control of a large annealing furnace by specific implementation of basic automation facilities.

Description

连续退火炉在线控制方法On-line Control Method of Continuous Annealing Furnace

本发明涉及一种连续退火炉在线控制方法,具体地说是一种采用计算机通过数学模型对大型连续退火炉进行在线控制操作的方法。The invention relates to an on-line control method of a continuous annealing furnace, in particular to a method for on-line control operation of a large-scale continuous annealing furnace by using a computer through a mathematical model.

现有技术中,大型连续退火炉一般采用装备有各种炉温、带温仪表的小回路控制和计算机监控系统,由人工设定炉温来间接控制带温,是一种以控制带钢出炉温度为主的串级控制系统。而整座退火炉结构庞大,炉内既有加热又有冷却,传热方式差别很大,机理复杂,再加上带钢钢种、规格、退火曲线及机组速度经常发生变化,而炉子热惯性又大,致使工况难以稳定。由于上述控制系统未直接对炉内目标带温进行控制,使某些炉区按工艺要求实施分程调节时出现临界振荡,在机组突然大幅度降速时,若无人工及时干预,会造成热瓢曲甚至断带的严重故障,而且能耗大。随着计算机技术的进一步发展,产生了采用计算机通过数学模型对大型退火炉进行控制的方法。其所采用的数学模型多为静态数学模型、经验型简单动态模型等,都没能对整炉的炉温、带温分布进行动态描述,无法实现在线操作控制。In the prior art, large-scale continuous annealing furnaces generally adopt small loop control and computer monitoring systems equipped with various furnace temperature and belt temperature instruments, and the belt temperature is indirectly controlled by manually setting the furnace temperature. Temperature-based cascade control system. However, the entire annealing furnace has a huge structure, both heating and cooling in the furnace, the heat transfer mode is very different, and the mechanism is complicated. In addition, the strip steel type, specification, annealing curve and unit speed often change, and the thermal inertia of the furnace And large, making the working condition difficult to stabilize. Since the above-mentioned control system does not directly control the target zone temperature in the furnace, critical oscillation occurs in some furnace areas when the range adjustment is implemented according to the process requirements. Serious faults such as crooked or even broken belts, and high energy consumption. With the further development of computer technology, a method of using computer to control large annealing furnace through mathematical model has emerged. Most of the mathematical models used are static mathematical models, empirical simple dynamic models, etc., which cannot dynamically describe the furnace temperature and belt temperature distribution of the whole furnace, and cannot realize online operation control.

本发明的目的是提供一种连续退火炉在线控制方法,通过建立退火炉整炉带温动态数学模型,构成基于模型定量计算和基于人工经验定性推理的混合智能控制系统,对大型退火炉进行在线计算机控制操作。The purpose of the present invention is to provide an online control method for a continuous annealing furnace. By establishing a dynamic mathematical model of the temperature of the entire annealing furnace, a hybrid intelligent control system based on quantitative calculation of the model and qualitative reasoning based on artificial experience is formed, and the online control of the large-scale annealing furnace is carried out. Computer controlled operation.

本发明的目的是这样实现的:The purpose of the present invention is achieved like this:

一种连续退火炉在线控制方法,通过以热传导理论为依据,建立退火炉整炉带温动态数学模型,构成基于数学模型定量计算和基于人工经验定性推理的混合智能控制系统,具体步骤如下:An on-line control method for a continuous annealing furnace. Based on the heat conduction theory, a dynamic mathematical model of the temperature of the entire annealing furnace is established to form a hybrid intelligent control system based on quantitative calculation of the mathematical model and qualitative reasoning based on manual experience. The specific steps are as follows:

1.系统通过管理计算机输入带钢钢种、规格,退火曲线等工艺参数,送入过程计算机,1. The system enters the process parameters such as strip steel type, specification and annealing curve through the management computer, and sends them to the process computer.

2.过程计算机通过测量仪表等基础自动化设施采集各测点位置的炉温、带温、机组运行速度及当前操作条件等参数,2. The process computer collects parameters such as furnace temperature, belt temperature, unit operating speed and current operating conditions at each measuring point through basic automation facilities such as measuring instruments.

3.上位计算机从过程计算机读取上述参数,由混合智能控制系统进行控制:3. The host computer reads the above parameters from the process computer and is controlled by the hybrid intelligent control system:

a.基于数学模型定量计算的优化控制,得出各炉段炉温控制增量,a. Based on the optimal control of the quantitative calculation of the mathematical model, the furnace temperature control increment of each furnace section is obtained,

b.基于快慢变量分离的预设定,将快变量从系统数学模型中分离出来,对快变量变化引起的各炉段炉温补偿控制增量进行预设定,b. Based on the preset separation of fast and slow variables, the fast variables are separated from the system mathematical model, and the furnace temperature compensation control increments of each furnace section caused by the fast variable changes are preset,

c.在经典PID(比例积分微分控制)基础上引入人工经验进行闭环反馈智能校正,定性推理得出各炉段炉温控制增量,c. On the basis of classic PID (proportional-integral-derivative control), artificial experience is introduced to carry out closed-loop feedback intelligent correction, and qualitative reasoning obtains the furnace temperature control increment of each furnace section.

d.对上述基于数学模型定量计算和基于经验定性推理所得的三种控制增量进行混合智能协调,确定各炉段炉温总控制量,d. Mix and intelligently coordinate the above three kinds of control increments based on quantitative calculation based on mathematical models and qualitative reasoning based on experience to determine the total control amount of furnace temperature in each furnace section,

e.将经混合智能协调确定的各炉段炉温总控制量按照数量和逻辑关系进行炉温分配,经多通道分程等求出各种控制信号,e. The total control amount of furnace temperature in each furnace section determined by the hybrid intelligent coordination is distributed according to the quantity and logical relationship, and various control signals are obtained through multi-channel splitting, etc.

4.过程计算机从上位计算机读取上述控制信号,经现场基础自动化设施的各种调节器施加于生产过程,实现在线闭环控制。4. The process computer reads the above-mentioned control signals from the upper computer, and applies them to the production process through various regulators of the on-site basic automation facilities to realize online closed-loop control.

本发明所建立的整炉带温动态数学模型为用偏微分方程表示的带钢温度动态分布数学模型,将退火炉按带钢移动方向展开,并建立x、y、z三维空间坐标系,其中x、y和z方向分别代表带厚、炉长、炉宽方向,假设炉宽Z方向带钢温度梯度为零,带钢的比热、密度、导热系数均为常数,根据富里哀导热定律,得到描述全炉带温动态分布的二维不稳定导热方程: ∂ T ( x , y , t ) ∂ t = K s Cρ [ ∂ 2 T ( x , y , t ) ∂ x 2 + ∂ 2 T ( x , yt ) ∂ y 2 ] - v ( t ) ∂ T ( x , y , t ) ∂ y - - - ( 1 ) 其中:T(x1y1t)为带温The whole furnace strip temperature dynamic mathematical model established by the present invention is a strip steel temperature dynamic distribution mathematical model represented by a partial differential equation, the annealing furnace is expanded according to the strip steel moving direction, and a three-dimensional space coordinate system of x, y, z is established, wherein The x, y, and z directions represent the strip thickness, furnace length, and furnace width respectively. Assuming that the strip temperature gradient in the Z direction of the furnace width is zero, the specific heat, density, and thermal conductivity of the strip are constant. According to Fourier’s thermal conductivity law, The two-dimensional unstable heat conduction equation describing the dynamic distribution of temperature in the whole furnace is obtained: ∂ T ( x , the y , t ) ∂ t = K the s Cρ [ ∂ 2 T ( x , the y , t ) ∂ x 2 + ∂ 2 T ( x , yt ) ∂ the y 2 ] - v ( t ) ∂ T ( x , the y , t ) ∂ the y - - - ( 1 ) Where: T(x 1 y 1 t) is the band temperature

  t为时间,t≥0t is time, t≥0

  C为带钢的比热C is the specific heat of the strip

  ρ为带钢的密度ρ is the density of strip steel

  Ks为带钢的导热系数K s is the thermal conductivity of the strip

  v(t)为机组速度确定求解方程(1)所需的带钢上下表面边界条件,再采用时空离散化技术进行处理,将式(1)化为以炉温为控制向量、带温为状态向量的状态空间数学模型。v(t) is the speed of the unit to determine the upper and lower surface boundary conditions of the steel strip required to solve equation (1), and then use the time-space discretization technology to process, and transform the formula (1) into the furnace temperature as the control vector and the belt temperature as the state State-space mathematical models of vectors.

本发明所建立的整炉带温动态数学模型也可以是用偏微分方程表示的带钢温度跟踪数学模型,将退火炉按带钢移动方向展开,并建立x、y移动坐标系,其中x、y分别为跟踪单元在带厚和炉长方向上的位置,忽略带钢沿炉长方向的横向热传导,则带钢任意小单元的移动就可视为边界场的移动,假设带钢的比热、密度、导热系数均为常数,根据富里哀导热定律,得到描述带钢温度跟踪的一维不稳定导热方程: ∂ T S f ( x , t ) ∂ t = K s Cρ ∂ 2 T S f ( x , t ) ∂ x 2 - - - ( 1 a ) 其中:TSf为跟踪单元的温度The whole furnace strip temperature dynamic mathematical model established by the present invention can also be the strip temperature tracking mathematical model represented by partial differential equations, the annealing furnace is expanded according to the moving direction of the strip, and the x, y moving coordinate system is established, wherein x, y are the positions of the tracking units in the direction of strip thickness and furnace length, respectively, and neglecting the transverse heat conduction of the strip along the furnace length, the movement of any small unit of the strip can be regarded as the movement of the boundary field. Assuming that the specific heat of the strip , density, and thermal conductivity are all constants. According to Fourier's thermal conductivity law, the one-dimensional unstable thermal conductivity equation describing the strip temperature tracking is obtained: ∂ T S f ( x , t ) ∂ t = K the s Cρ ∂ 2 T S f ( x , t ) ∂ x 2 - - - ( 1 a ) Where: TS f is the temperature of the tracking unit

  t为时间,t≥0t is time, t≥0

  C为带钢的比热C is the specific heat of the strip

  ρ为带钢的密度ρ is the density of strip steel

  Ks为带钢的导热系数确定求解方程(1a)所需的带钢上下表面边界条件,再采用时空离散化技术进行处理,将式(1a)化为以带温为状态变量、炉温为控制变量的状态空间数学模型。在较稳定的工况下,带钢温度跟踪数学模型与带钢温度动态分布数学模型等价,可由结构简单、计算量小的带钢温度跟踪数学模型反映全炉带温分布规律。K s is the thermal conductivity of the strip to determine the upper and lower surface boundary conditions of the strip required to solve the equation (1a), and then use the time-space discretization technology to process the formula (1a) into a state variable with the strip temperature and the furnace temperature as A state-space mathematical model of the control variables. Under relatively stable working conditions, the strip temperature tracking mathematical model is equivalent to the strip temperature dynamic distribution mathematical model, and the strip temperature tracking mathematical model with a simple structure and a small amount of calculation can reflect the strip temperature distribution law of the whole furnace.

基于数学模型定量计算的优化控制首先要对数学模型中受钢种、规格、机组速度、炉况等影响的参数进行在线辨识,然后根据数学模型预测补偿带温偏差所需的炉温调节量,最后根据所取目标函数进行优化,得到各炉段炉温控制增量。The optimal control based on the quantitative calculation of the mathematical model first needs to conduct online identification of the parameters in the mathematical model that are affected by the steel type, specification, unit speed, furnace condition, etc., and then predict the furnace temperature adjustment required to compensate the temperature deviation according to the mathematical model. Finally, optimization is carried out according to the objective function, and the furnace temperature control increment of each furnace section is obtained.

基于快慢变量分离的预设定是将机组速度V作为快变量从数学模型中分离出来,根据数学模型计算出V变化ΔV时所需的炉温动态补偿量,对速度变化所引起的各炉段炉温补偿控制增量进行预设定。The preset based on the separation of fast and slow variables is to separate the speed V of the unit from the mathematical model as a fast variable, and calculate the dynamic compensation amount of the furnace temperature required when V changes ΔV according to the mathematical model, and calculate the dynamic compensation amount of the furnace temperature caused by the speed change. The furnace temperature compensation control increment is preset.

闭环反馈智能校正所引入的人工经验主要包括:带温大偏差时加大比例作用,中偏差时中等比例加积分作用,小偏差时减小比例作用,并且在超调时加上积分作用,回调时取消积分作用,带温偏差的大中小也是由人工实际经验确定的。The artificial experience introduced by the closed-loop feedback intelligent correction mainly includes: increase the proportional action when the temperature deviation is large, add the integral action in the medium proportion when the deviation is medium, reduce the proportional action when the deviation is small, and add the integral action when the overshoot is over. When the integral function is canceled, the large, medium and small temperature deviation is also determined by manual actual experience.

混合智能协调是将三种控制增量分别记作μ1、μ2、μ3,总控制量为μ,根据过程机理和运行经验建立三种控制量与总控制量映射关系知识库{μ1、μ2、μ3}→μ,通过知识推理获得各炉段炉温总控制量μ。Hybrid intelligent coordination is to record three kinds of control increments as μ 1 , μ 2 , μ 3 respectively, and the total control quantity is μ. According to the process mechanism and operation experience, the knowledge base of the mapping relationship between the three control quantities and the total control quantity is established {μ 1 , μ 2 , μ 3 }→μ, and obtain the total furnace temperature control quantity μ of each furnace section through knowledge reasoning.

附图说明:Description of drawings:

图1为本发明方法的多级递阶控制结构图。Fig. 1 is a multi-level hierarchical control structure diagram of the method of the present invention.

图2为本发明方法的混合智能控制过程流程图。Fig. 2 is a flow chart of the hybrid intelligent control process of the method of the present invention.

图3为连续热镀锌退火炉结构及流程示意图。Figure 3 is a schematic diagram of the structure and process flow of a continuous hot-dip galvanizing annealing furnace.

下面结合附图并以将本发明方法用于连续热镀锌退火炉的在线控制为实施例对本发明进行详述。The present invention will be described in detail below in conjunction with the accompanying drawings and by using the method of the present invention for on-line control of a continuous hot-dip galvanizing annealing furnace as an example.

图3所示的连续热镀锌退火炉为立式结构,由预热F1、还原F2、控冷F3和喷冷C1四段组成,这四段共有16个炉区。在预热段F1的入口和每个炉段的出口各安装有一带温测量仪表1RT-5RT,可获得5个带温测量值。在每个炉区安装有一炉温测量仪表1TC-16TC,可获得16个带温测量值。预热段F1通过直接燃烧加热带钢并清洁带钢表面,加热过量易引起炉内断带或热瓢曲,加热不足又不能清洁带钢表面从而影响镀锌质量。还原段F2用两面对称的许多辐射管加热继续提高带温,该段出口处的带温3RT决定了产品的机械性能因而要求严格。控冷段F3通过辐射管冷却降温,喷冷段C1则用冷却气体直接冷却带钢,出炉带温5RT直接影响镀锌质量,既不能偏高又不能偏低。整个退火过程必须满足一定的退火曲线。The continuous hot-dip galvanizing annealing furnace shown in Figure 3 is a vertical structure and consists of four sections: preheating F 1 , reduction F 2 , controlled cooling F 3 and spray cooling C 1 , and these four sections have 16 furnace zones in total. The entrance of the preheating section F1 and the exit of each furnace section are respectively installed with a belt temperature measuring instrument 1RT-5RT, which can obtain 5 belt temperature measurement values. A furnace temperature measuring instrument 1TC-16TC is installed in each furnace area, and 16 belt temperature measurement values can be obtained. The preheating section F1 heats the steel strip by direct combustion and cleans the surface of the steel strip. Excessive heating may cause belt breakage or hot scoop in the furnace. The reduction section F2 is heated by many radiant tubes that are symmetrical on both sides to continue to increase the band temperature. The band temperature 3RT at the exit of this section determines the mechanical properties of the product and therefore has strict requirements. The cooling section F 3 is cooled by radiant tubes, and the spray cooling section C 1 uses cooling gas to directly cool the steel strip. The strip temperature 5RT directly affects the quality of galvanizing, which can neither be too high nor too low. The whole annealing process must meet a certain annealing curve.

本发明通过以热传导理论为依据,建立退火炉整炉带温动态数学模型,构成基于模型定量计算和基于人工经验定性推理的混合智能控制系统,满足退火曲线的要求。系统采用多级递阶控制结构,如图1所示,过程计算机由基础自动化设施采集并由管理计算机读入各种参数,上位计算机从过程计算机读取上述参数,进行混合智能控制,得出控制信号,由过程计算机经基础自动化设施施加于生产过程,对连续热镀锌退火炉进行闭环在线控制。Based on the heat conduction theory, the present invention establishes a dynamic mathematical model of the annealing furnace temperature in the whole furnace, and constitutes a hybrid intelligent control system based on quantitative calculation of the model and qualitative reasoning based on manual experience, so as to meet the requirements of the annealing curve. The system adopts a multi-level hierarchical control structure, as shown in Figure 1, the process computer is collected by the basic automation facilities and read in various parameters by the management computer, and the upper computer reads the above parameters from the process computer to perform hybrid intelligent control and obtain the control The signal is applied to the production process by the process computer through the basic automation facilities, and the closed-loop online control of the continuous hot-dip galvanizing annealing furnace is carried out.

实施例中用于定量计算炉温控制量的数学模型是用偏微分方程表示的带钢温度动态分布数学模型。将热镀锌退火炉按带钢移动方向展开,并建立x、y、z三维空间坐标系,其中x、y和z方向分别代表带厚、炉长和炉宽方向,假设炉宽Z方向带钢温度梯度为零,带钢的比热、密度、导热系数均为常数,根据富里哀导热定律,得到描述全炉带温动态分布的二维不稳定导热方程: ∂ T ( x , y , t ) ∂ t = K s Cρ [ ∂ 2 T ( x , y , t ) ∂ x 2 + ∂ 2 T ( x , yt ) ∂ y 2 ] - v ( t ) ∂ T ( x , y , t ) ∂ y - - - ( 1 ) 其中:T(x,y,t)为带温The mathematical model used to quantitatively calculate the control amount of the furnace temperature in the embodiment is a mathematical model of the dynamic distribution of the steel strip temperature expressed by a partial differential equation. Expand the hot-dip galvanizing annealing furnace according to the moving direction of the strip, and establish a three-dimensional coordinate system of x, y, and z, where the x, y, and z directions represent the strip thickness, furnace length, and furnace width respectively. The temperature gradient of the steel is zero, and the specific heat, density, and thermal conductivity of the strip steel are all constant. According to Fourier's heat conduction law, a two-dimensional unstable heat conduction equation describing the dynamic distribution of the entire furnace strip temperature is obtained: ∂ T ( x , the y , t ) ∂ t = K the s Cρ [ ∂ 2 T ( x , the y , t ) ∂ x 2 + ∂ 2 T ( x , yt ) ∂ the y 2 ] - v ( t ) ∂ T ( x , the y , t ) ∂ the y - - - ( 1 ) Among them: T(x, y, t) is the band temperature

  t为时间,t≥0t is time, t≥0

  C为带钢的比热C is the specific heat of the strip

  ρ为带钢的密度ρ is the density of strip steel

  Ks为带钢的导热系数K s is the thermal conductivity of the strip

v(t)为机组速度确定求解方程(1)所需的带钢上下表面边界条件:炉内带钢表面与退火炉之间的能量传递主要是辐射和对流,假设带钢上下表面的传热对称,则只考虑带钢下表面的边界条件,得到带钢下表面热流密度关系式:v(t) is the speed of the unit to determine the boundary conditions on the upper and lower surfaces of the strip required to solve equation (1): the energy transfer between the surface of the strip in the furnace and the annealing furnace is mainly radiation and convection, assuming that the heat transfer on the upper and lower surfaces of the strip If it is symmetrical, only the boundary conditions on the lower surface of the strip are considered, and the relational formula of the heat flux on the lower surface of the strip is obtained:

q(y,t)=ε(y)Faσ[TZ4(y,t)-T4(0,y,t)]+hcFa[TZ(y,t)q(y,t)=ε(y)F a σ[TZ 4 (y,t)-T 4 (0,y,t)]+h c F a [TZ(y,t)

                                                -T(0,y,t)]……(2)其中:q(y,t)为带钢下表面热流密度-T(0, y, t)]...(2) where: q(y, t) is the heat flux on the lower surface of the strip

  Fa为有效传热面积F a is the effective heat transfer area

  σ为斯蒂芬-波尔兹曼常数(Stefan-Boltzmann)常数σ is the Stefan-Boltzmann constant (Stefan-Boltzmann) constant

  TZ(y,t)为炉温分布TZ(y, t) is the furnace temperature distribution

  hc为炉气对带钢下表面的对流传热系数h c is the convective heat transfer coefficient of the furnace gas to the lower surface of the strip

  ε(y)为整个炉体对带钢下表面总有效黑度系数,ε(y) is the total effective blackness coefficient of the entire furnace body to the lower surface of the strip,

  ε(y)=φswεs+[εwg(y)]/2其中:εs为带钢的黑度系数ε(y)=φ sw ε s +[ε wg (y)]/2 where: ε s is the blackness coefficient of strip steel

  εw为炉墙对带钢下表面的总有效黑度系数ε w is the total effective blackness coefficient of the furnace wall to the lower surface of the strip

  εg为炉气黑度系数ε g is the furnace gas blackness coefficient

  φsw为炉墙与带钢下表面的辐射角系数φ sw is the radiation angle coefficient between the furnace wall and the lower surface of the steel strip

为简化模型以便于实际工程应用,引入综合等效传热系数h(y2t):In order to simplify the model for practical engineering application, the comprehensive equivalent heat transfer coefficient h(y 2 t) is introduced:

h(y,t)=ε(y)σ[TZ2(y,t)+T2(0,y,t)][TZ(y,t)-T(0,y,t)]+hc h(y,t)=ε(y)σ[TZ 2 (y,t)+T 2 (0,y,t)][TZ(y,t)-T(0,y,t)]+h c

                                                                ……(3)则式(2)可简化为线性化边界条件:...(3) Equation (2) can be simplified into a linearized boundary condition:

q(y,t)=h(y,t)Fa[TZ2(y,t)-T(0,y,t)                         ……(4)故边界条件(4)又可表示为: ∂ T ( x , y , t ) ∂ x | x = 0 = - h ( y , t ) K s [ TZ ( y , t ) - T ( 0 , y , t ) ] - - - ( 6 ) 实际在线控制过程中,h(y,t)通过实时递推估计确定。q(y, t)=h(y, t) F a [TZ 2 (y, t)-T(0, y, t) ... (4) So the boundary condition (4) can be expressed as: ∂ T ( x , the y , t ) ∂ x | x = 0 = - h ( the y , t ) K the s [ Z ( the y , t ) - T ( 0 , the y , t ) ] - - - ( 6 ) In the actual on-line control process, h(y, t) is determined by real-time recursive estimation.

利用时空离散化技术对上述数学模型进行工程化处理。将炉内带钢划分为Nx×Ny个网络,时间步长为Δt。为方便起见,iΔx、jΔy和kΔt分别简记为i、j和k。适当运用前向差分和后向差分近似,可将带温分布模型化为:Using space-time discretization technology to engineer the above mathematical model. Divide the steel strip in the furnace into N x ×N y networks, and the time step is Δt. For convenience, iΔx, jΔy and kΔt are abbreviated as i, j and k, respectively. Appropriately using the forward difference and backward difference approximation, the band temperature distribution can be modeled as:

T(i,j,k+1)=aT(i+1,j,k)+(1-2a-2b-c)T(i,j,k)+aT(i-1,j,k)+T(i,j,k+1)=aT(i+1,j,k)+(1-2a-2b-c)T(i,j,k)+aT(i-1,j,k) +

                            bT(i,j+1,k)+(b+c)T(i,j-1,k)   ……(7)式中:

Figure C9610953700101
bT(i, j+1, k)+(b+c)T(i, j-1, k)...(7) where:
Figure C9610953700101

将坐标y处带钢厚度方向上的平均温度 T(y,t)作为y处带温TS(y,t)之近似值, T - ( j , k + 1 ) = 1 N x Σ i = 1 N x T ( i , j , k + 1 ) =(1-2b-c) T(j,k)+b T(j+1,k)+(b+c) T(j-1,k)+ σ N x [ T ( N x + 1 , j , k ) - T ( N x , j , k ) + T ( 0 , j , k ) - T ( i , j , k ) ] - - - ( 8 ) ∴TS(j,k+1)=(1-2b-c-djk)TS(j,k)+(b+c)TS(j-1,k)Take the average temperature T(y, t) in the thickness direction of the strip at the coordinate y as the approximate value of the strip temperature TS(y, t) at y, T - ( j , k + 1 ) = 1 N x Σ i = 1 N x T ( i , j , k + 1 ) =(1-2b-c)T(j,k)+bT(j+1,k)+(b+c)T(j-1,k)+ σ N x [ T ( N x + 1 , j , k ) - T ( N x , j , k ) + T ( 0 , j , k ) - T ( i , j , k ) ] - - - ( 8 ) ∴TS(j,k+1)=(1-2b-cd jk )TS(j,k)+(b+c)TS(j-1,k)

       +bTS(j+1,k)+djkTZ(j,k)                    ……(9)式中:

Figure C9610953700105
类似地,可以导出:+bTS(j+1, k)+d jk TZ(j, k) ... (9) where:
Figure C9610953700105
Similarly, it is possible to export:

TS(0,k+1)=(1-b-d0k)TS(0,k)+bTS(j,k)+d0kTZ(0,k)……(10) TS ( N y , k + 1 ) = ( b + c ) TS ( N y - 1 , k ) + ( 1 - b - c - d N y K ) TS ( N y , k ) + d N y K TZ ( 0 , k ) - - - - ( 11 ) 若记:TS(0,k+1)=(1-bd 0k )TS(0,k)+bTS(j,k)+d 0k TZ(0,k)...(10) TS ( N the y , k + 1 ) = ( b + c ) TS ( N the y - 1 , k ) + ( 1 - b - c - d N the y K ) TS ( N the y , k ) + d N the y K Z ( 0 , k ) - - - - ( 11 ) If remember:

X(k)=[TS(0,k),TS(j,k),……,TS(Ny,k)]T X(k)=[TS(0,k),TS(j,k),...,TS(N y ,k)] T

U(k)=[TZ(0,k),TZ(j,k),……,TZ(Ny,k)]T B ( k ) = diag [ d 0 k , d 1 k , · · · · · · , d N y K ] U(k)=[TZ(0,k), TZ(j,k),..., TZ(N y ,k)] T B ( k ) = diag [ d 0 k , d 1 k , &Center Dot; &Center Dot; &Center Dot; · · · , d N the y K ]

则最终导出以带温为状态变量、炉温为控制变量的状态空间数学模型Then finally derive a state-space mathematical model with the belt temperature as the state variable and the furnace temperature as the control variable

X(k+1)=A(k)X(k)+B(k)U(k)            ……(12)钢种、规格、机组速度、炉况等各种特性参数均包含于A(k)和B(k)之中。X(k+1)=A(k)X(k)+B(k)U(k) ... (12) Various characteristic parameters such as steel type, specification, unit speed and furnace condition are included in A(k) ) and B(k).

具体控制步骤如下(参见图1和图2):The specific control steps are as follows (see Figure 1 and Figure 2):

1.系统通过管理计算机输入带钢钢种、规格,退火曲线等工艺参数,送入过程计算机。1. The system inputs process parameters such as strip steel type, specification, annealing curve, etc. through the management computer, and sends them to the process computer.

2.过程计算机通过测量仪表等基础自动化设施采集各测点位置的炉温、带温、机组运行速度及当前操作条件等参数。2. The process computer collects parameters such as furnace temperature, belt temperature, unit operating speed and current operating conditions at each measuring point through basic automation facilities such as measuring instruments.

3.上位计算机从过程计算机读取上述参数,由混合智能控制系统进行控制:3. The host computer reads the above parameters from the process computer and is controlled by the hybrid intelligent control system:

a.进行基于数学模型定量计算的优化控制。首先对状态空间数学模型式(12)中包含有钢种、规格、机组运行速度、炉况等参数的A(K)、B(K)进行在线辨识,然后根据模型预测补偿带温偏差ΔX(k+1)所需的炉温调节量ΔU(k),最后以节能为目标进行优化,得到各炉段炉温控制增量。a. Carry out optimal control based on mathematical model quantitative calculation. Firstly, the online identification of A(K) and B(K) in the state space mathematical model formula (12) including steel types, specifications, unit operating speed, furnace conditions and other parameters is carried out, and then the band temperature deviation ΔX( k+1) the required furnace temperature adjustment ΔU(k), and finally optimize it with the goal of saving energy, and obtain the furnace temperature control increment of each furnace section.

b.进行基于快慢变量分离的预设定。为快速克服快变量扰动,将机组运行速度V作为快变量从式(12)所示数学模型中分离出来,根据数学模型计算出V变化ΔV时所需的炉温动态补偿量,对速度变化所引起的各炉段炉温补偿控制增量进行预设定。b. Presetting based on the separation of fast and slow variables. In order to quickly overcome the disturbance of fast variables, the operating speed V of the unit is separated from the mathematical model shown in formula (12) as a fast variable, and the dynamic compensation amount of the furnace temperature required when V changes ΔV is calculated according to the mathematical model. The resulting furnace temperature compensation control increment of each furnace section is preset.

c.在经典PID基础上引入人工经验进行闭环反馈智能校正。引入的人工经验主要包括:带温大偏差时加大比例作用,中偏差时中等比例加积分作用,小偏差时减小比例作用,并且在超调时加上积分作用,回调时取消积分作用,带温偏差的大中小也是由人工经验确定的,据此定性推理得出各炉段炉温控制增量,以克服连续热镀锌退火过程中的大量不确定性。c. Introduce artificial experience on the basis of classic PID for closed-loop feedback intelligent correction. The manual experience introduced mainly includes: increase the proportional action when the temperature is large, add the integral action in the medium proportion when the deviation is medium, reduce the proportional action when the deviation is small, add the integral action when overshooting, and cancel the integral action when it is called back. The large, medium and small of the band temperature deviation are also determined by manual experience. Based on this qualitative reasoning, the furnace temperature control increment of each furnace section is obtained to overcome a large number of uncertainties in the continuous hot-dip galvanizing annealing process.

d.对上述基于数学模型定量计算和基于经验定性推理所得的三种控制增量进行混合智能协调。工况不同,三种控制量所占的比重和起的作用是不同的,将三种控制量分别记作μ1、μ2、μ3,总控制量为μ,根据过程机理和运行经验建立三种控制量与总控制量映射关系知识库{μ1、μ2、μ3)→μ,通过知识推理获得各炉段炉温总控制量。d. Carry out mixed intelligent coordination on the above three kinds of control increments obtained from quantitative calculation based on mathematical model and qualitative reasoning based on experience. The working conditions are different, and the proportions and functions of the three control quantities are different. The three control quantities are respectively recorded as μ 1 , μ 2 , and μ 3 , and the total control quantity is μ, which is established according to the process mechanism and operating experience. The knowledge base {μ 1 , μ 2 , μ 3 )→μ of the mapping relationship between the three control quantities and the total control quantity is used to obtain the total control quantity of the furnace temperature in each furnace section through knowledge reasoning.

e.将经混合智能协调确定的各炉段炉温总控制量按照数量和逻辑关系进行炉温分配,经多通道分程转换成各种控制信号。转换过程均根据过程机理和人工经验表示成一系列产生式规则,供控制程序实时推理。e. The total furnace temperature control amount of each furnace section determined by the hybrid intelligent coordination is distributed according to the quantity and logical relationship, and converted into various control signals through multi-channel division. The conversion process is expressed as a series of production rules according to the process mechanism and human experience, which can be used for real-time reasoning of the control program.

4.下位机从上位机读取上述控制信号,经现场基础自动化设施的各种调节器施加于生产过程,实现在线闭环操作控制。4. The lower computer reads the above-mentioned control signals from the upper computer, and applies them to the production process through various regulators of the on-site basic automation facilities to realize online closed-loop operation control.

本发明与现有技术相比所具有的优点是:本发明通过建立退火炉整炉带温动态数学模型,构成基于数学模型定量计算和基于人工经验定性推理的混合智能控制系统,真正实现了对大型退火炉的在线控制。经在大型连续热镀锌退火炉上实际使用证明:本发明方法所建立的数学模型精度高,混合智能控制解决了过去因无法控制带温及炉温与带钢走速不协调而引起的断带和热瓢曲等故障和质量问题,保证了生产的正常进行,产品质量稳定,提高了产量,降低了能耗。Compared with the prior art, the present invention has the advantages that: the present invention establishes a dynamic mathematical model of the temperature of the annealing furnace to form a hybrid intelligent control system based on quantitative calculation of the mathematical model and qualitative reasoning based on artificial experience, and truly realizes the control of On-line control of large annealing furnace. It has been proved by actual use on large-scale continuous hot-dip galvanizing annealing furnaces that the mathematical model established by the method of the present invention has high precision, and the hybrid intelligent control solves the problems caused by the inability to control the strip temperature and the incoordination between the furnace temperature and the strip speed in the past. Troubleshooting and quality problems such as tape and hot scoops ensure the normal production, stable product quality, increased production and reduced energy consumption.

本发明方法可用于立式和卧式的所有连续退火炉的在线控制。The method of the invention can be used for online control of all vertical and horizontal continuous annealing furnaces.

Claims (5)

1. online controlling method for continuously annealing furnace, it is characterized in that: by being foundation with the heat transfer theory, set up the whole furnace zone of annealing furnace temperature dynamic mathematical models, formation is based on the mathematical model quantitative Analysis with based on the hybrid intelligent Controlling System of artificial experience qualitative reasoning, and concrete steps are as follows:
(1) system is by supervisory computer input tape steel steel grade, specification, and processing parameters such as annealing curve are sent into process computer,
(2) the process computer parameters such as furnace temperature, band temperature, unit operation speed and current operational condition of gathering each point position by basic automatization facilities such as metrical instruments,
(3) host computer reads above-mentioned parameter from process computer, is controlled by the hybrid intelligent Controlling System:
A. based on the optimal control of mathematical model quantitative Analysis, draw each stove section Control for Kiln Temperature increment,
B. preset based on fast slow variable is isolating, fast variable separated from system mathematic model, fast variable is changed each the stove section Furnace temperature compensation control increment that causes preset,
C. introduce artificial experience and carry out the correction of closed loop feedback intelligence on the classical PID basis, qualitative reasoning draws each stove section Control for Kiln Temperature increment,
D. carry out the hybrid intelligent coordination to above-mentioned based on the mathematical model quantitative Analysis with based on three kinds of control increment of experience qualitative reasoning gained, determine each stove section furnace temperature overhead control amount,
E. will carry out furnace temperature according to quantity and logical relation through each stove section furnace temperature overhead control amount that hybrid intelligent coordinate to determine and distribute, obtain various control signals through hyperchannel branch journey etc.,
(4) process computer reads above-mentioned control signal from host computer, puts on production process through the various setters of on-the-spot basic automatization facility, realizes online closed-loop control;
Described whole furnace zone temperature dynamic mathematical models are belt steel temperature DYNAMIC DISTRIBUTION mathematical models of representing with partial differential equation, annealing furnace is launched by band steel travel direction, and set up x, y, z three dimensional space coordinate system, wherein x, y and z direction are represented tape thickness, furnace superintendent, stove cross direction respectively, suppose that the wide Z direction of stove belt steel temperature gradient is zero, specific heat, density, the thermal conductivity of band steel are constant, according to sad heat conduction law in the richness, obtain describing the two dimensions and unstable heat conduction equation of full furnace zone temperature DYNAMIC DISTRIBUTION: ∂ T ( x , y , t ) ∂ t = K s Cρ [ ∂ 2 T ( x , y , t ) ∂ x 2 + ∂ 2 T ( x , yt ) ∂ y 2 ] - v ( t ) ∂ T ( x , y , t ) ∂ y - - - ( 1 ) Wherein: T (x 1y 1T) be the band temperature
T is the time, t 〉=0
C is the specific heat of band steel
ρ is the density of band steel
K sThermal conductivity for the band steel
V (t) determines the band steel upper and lower surface final condition that solving equation (1) is required for unit speed, adopts the space-time discretization technique to handle again, and it is that control vector, band temperature are the space mathematical model of state vector that formula (1) is turned to the furnace temperature;
Described whole furnace zone temperature dynamic mathematical models also can be to follow the tracks of mathematical model with the belt steel temperature that partial differential equation are represented, annealing furnace is launched by band steel travel direction, and set up x, y moving coordinate system, wherein x, y are respectively the position of tracking cell on tape thickness and furnace superintendent direction, ignore the transverse heat transfer of band steel along the furnace superintendent direction, then just can be considered moving of boundary field with arbitrarily small unitary the moving of steel, specific heat, density, the thermal conductivity of supposing the band steel are constant, according to sad heat conduction law in the richness, obtain describing the one dimension unsteady heat conduction equation that belt steel temperature is followed the tracks of: ∂ T S f ( x , t ) ∂ t = K s Cρ ∂ 2 T S f ( x , t ) ∂ x 2 - - - ( 1 a ) Wherein: TS fTemperature for tracking cell
T is the time, t 〉=0
C is the specific heat of band steel
ρ is the density of band steel
K sDetermine the band steel upper and lower surface final condition that solving equation (1a) is required for the thermal conductivity of band steel, adopt the space-time discretization technique to handle again, formula (1a) is turned to being that state variables, furnace temperature are the space mathematical model of controlled variable with temperature.
2. method according to claim 1, it is characterized in that described optimal control based on the mathematical model quantitative Analysis, at first to carry out on-line identification to the parameter that influenced by steel grade, specification, unit speed, the working of a furnace etc., then according to the required furnace temperature regulated quantity of mathematical model prediction compensating band temperature deviation, be optimized according to getting objective function at last, obtain each stove section Control for Kiln Temperature increment.
3. method according to claim 1, it is characterized in that describedly presetting based on fast slow variable is isolating, be that unit speed V is separated from mathematical model as fast variable, required furnace temperature dynamic compensation amount when going out V changes delta V according to calculated with mathematical model presets caused each the stove section Furnace temperature compensation control increment of velocity variations.
4. method according to claim 1, it is characterized in that described closed loop feedback intelligence proofreaies and correct the artificial experience of being introduced and mainly comprise: strengthen proportional action when being with warm large deviation, in during deviation moderate proportions add the integration effect, reduce proportional action during little deviation, and when overshoot, add integral action, cancellation integral action during readjustment is also determined by artificial practical experience with the large, medium and small of warm deviation.
5. method according to claim 1 is characterized in that it is three kinds of control increment to be remembered respectively make μ that described hybrid intelligent is coordinated 1, μ 2, μ 3, the overhead control amount is μ, sets up three kinds of manipulated variables and overhead control amount mapping relations knowledge base { μ according to process mechanism and service experience 1, μ 2, μ 3} → μ obtains each stove section furnace temperature overhead control amount μ by knowledge reasoning.
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