CN107038307B - The Roller Conveying Kiln for Temperature that mechanism is combined with data predicts integrated modelling approach - Google Patents
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- WHXSMMKQMYFTQS-UHFFFAOYSA-N Lithium Chemical compound [Li] WHXSMMKQMYFTQS-UHFFFAOYSA-N 0.000 description 3
- 229910052744 lithium Inorganic materials 0.000 description 3
- 238000013178 mathematical model Methods 0.000 description 2
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- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 2
- 238000003723 Smelting Methods 0.000 description 1
- HMDDXIMCDZRSNE-UHFFFAOYSA-N [C].[Si] Chemical compound [C].[Si] HMDDXIMCDZRSNE-UHFFFAOYSA-N 0.000 description 1
- 230000002411 adverse Effects 0.000 description 1
- 238000004458 analytical method Methods 0.000 description 1
- QVGXLLKOCUKJST-UHFFFAOYSA-N atomic oxygen Chemical compound [O] QVGXLLKOCUKJST-UHFFFAOYSA-N 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
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- 229910000625 lithium cobalt oxide Inorganic materials 0.000 description 1
- BFZPBUKRYWOWDV-UHFFFAOYSA-N lithium;oxido(oxo)cobalt Chemical compound [Li+].[O-][Co]=O BFZPBUKRYWOWDV-UHFFFAOYSA-N 0.000 description 1
- 229910052760 oxygen Inorganic materials 0.000 description 1
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- HBMJWWWQQXIZIP-UHFFFAOYSA-N silicon carbide Chemical compound [Si+]#[C-] HBMJWWWQQXIZIP-UHFFFAOYSA-N 0.000 description 1
- 229910010271 silicon carbide Inorganic materials 0.000 description 1
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Abstract
Description
所属领域Field of study
本发明属于辊道窑冶炼领域,具体涉及辊道窑温度预测集成建模方法The invention belongs to the field of roller kiln smelting, and particularly relates to an integrated modeling method for roller kiln temperature prediction
背景技术Background technique
锂电池具有工作电压高、比能量大、循环寿命长、重量轻、环境污染少等特点,全世界众多领域有着广泛的应用,比如移动电话、电动汽车技术、医疗仪器电源等。其中具有代表性的电池是以辊道窑为生产平台,钴酸锂为正极材料的锂电池。生产锂电池正极材料的烧结装置辊道窑是一种轻体化连续工业窑炉,具有能耗低、烧成周期短、炉温均匀度好等特点,另外它也是一个热流场的分布式系统,分为升温段、恒温段和冷却段三个大区,每个大区又分为若干小区。其中,辊道窑温度是系统运行中一个最为关键的参数,温度过高或过低都会对产品质量带来不利影响,维持温度稳定是保证产品质量的必要条件。Lithium batteries have the characteristics of high operating voltage, large specific energy, long cycle life, light weight, and less environmental pollution. They are widely used in many fields around the world, such as mobile phones, electric vehicle technology, and medical equipment power supplies. Among them, the representative battery is a lithium battery with roller kiln as the production platform and lithium cobalt oxide as the positive electrode material. The roller kiln of the sintering device for the production of cathode materials for lithium batteries is a lightweight continuous industrial kiln, which has the characteristics of low energy consumption, short firing cycle and good furnace temperature uniformity. In addition, it is also a distributed heat flow field. The system is divided into three major areas: heating section, constant temperature section and cooling section, each of which is divided into several small areas. Among them, the roller kiln temperature is one of the most critical parameters in the operation of the system. Too high or too low temperature will adversely affect the product quality. Maintaining temperature stability is a necessary condition to ensure product quality.
目前,受到工况环境限制,辊道窑内部的氧气流分布、炉料分布等运行信息和过程参数难以获取,而且偏微分方程存在求解复杂、已知条件要求苛刻等问题,单从温度场、流场等角度出发,难以建立精确的偏微分方程数学模型。为了得到辊道窑温度变化趋势,近些年来研究者根据辊道窑的特点通常采用一阶时滞系统作为系统的模型对温度作近似模型,但这种简化模型对温度进行估计的结果与实际温度值有较大误差,所以建立一个既能求解方便,又能更好的估计辊道窑温度的机理模型是当前尚待解决的问题。然而由于烧结过程的复杂性,机理模型无法体现所有影响温度的因素,得到的结果与实际温度难免会存在误差,因此,为了得到更加精确的温度估计值,预先对模型产生的误差进行预测也是需要解决的一大问题。At present, due to the limitation of working conditions, it is difficult to obtain operating information and process parameters such as oxygen flow distribution and charge distribution inside the roller kiln, and the partial differential equations have problems such as complicated solutions and strict known conditions. It is difficult to establish an accurate mathematical model of partial differential equations from the perspective of the field. In order to obtain the temperature variation trend of the roller kiln, researchers in recent years usually use the first-order time-delay system as the model of the system to approximate the temperature according to the characteristics of the roller kiln. There is a large error in the temperature value, so it is an unsolved problem to establish a mechanism model that can be solved easily and can better estimate the temperature of the roller kiln. However, due to the complexity of the sintering process, the mechanism model cannot reflect all the factors that affect the temperature, and there will inevitably be errors between the obtained results and the actual temperature. Therefore, in order to obtain a more accurate temperature estimate, it is also necessary to predict the errors generated by the model in advance. A big problem to solve.
发明内容SUMMARY OF THE INVENTION
本发明的目的在于提供一种基于机理与数据相结合的辊道窑温度预测集成建模方法,即从温度变化与能量变化的角度出发建立机理模型,然后利用机理模型输出与实际温度的差值作为训练样本建立数据模型,对误差进行预测,最后将机理模型与数据模型的输出求和作为最终的温度输出,以此用来解决现有技术存在的问题。The purpose of the present invention is to provide an integrated modeling method for roller kiln temperature prediction based on the combination of mechanism and data, namely establishing a mechanism model from the perspective of temperature change and energy change, and then using the mechanism model to output the difference between the actual temperature and the output As a training sample, a data model is established, errors are predicted, and finally the output of the mechanism model and the data model is summed as the final temperature output, so as to solve the problems existing in the prior art.
一种基于机理与数据相结合的辊道窑温度预测集成建模方法,包括如下步骤:An integrated modeling method for roller kiln temperature prediction based on the combination of mechanism and data, comprising the following steps:
1)数据处理步骤:对辊道窑过程运行数据进行整理,将其存储于所创建的数据1) Data processing steps: organize the operation data of the roller kiln process and store it in the created data
库中;library;
2)基于温度与能量变化关系的机理建模:物料温度无法直接测量,将热电偶测得温度视作整个上温区或下温区温度,辊道窑烧结是缓慢时变的过程,将采样点功率视为Δt=5min内的功率,假设每个温区压力恒定;2) Mechanism modeling based on the relationship between temperature and energy change: the material temperature cannot be measured directly. The temperature measured by the thermocouple is regarded as the temperature of the entire upper temperature zone or the lower temperature zone. Roller kiln sintering is a slow time-varying process. The point power is regarded as the power within Δt=5min, assuming that the pressure in each temperature zone is constant;
其次,以第i个温区的上温区作为研究对象,影响温度变化的因素包括以下几个方面:硅碳棒加热、高温区传入/向低温区传热、气氛带入/带出、钵体及物料带入/带出、水分蒸发吸热、物料化学反应消耗、窑壁散热;根据温度变化与能量变化的关系建立关系式(1):Secondly, taking the upper temperature zone of the i-th temperature zone as the research object, the factors that affect the temperature change include the following aspects: heating of silicon carbide rods, heat transfer from high temperature zone to/from low temperature zone, atmosphere bringing in/carrying out, The bowl and material are brought in/out, water evaporation absorbs heat, material chemical reaction consumes, and the kiln wall dissipates heat; according to the relationship between temperature change and energy change, formula (1) is established:
其中Qi1,Qi2,Qi3分别表示第i个温区的上温区的内部能量变化、显热变化以及传热变化,a表示换热系数;Among them, Q i1 , Q i2 , and Q i3 represent the internal energy change, sensible heat change and heat transfer change of the upper temperature zone of the i-th temperature zone, respectively, and a represents the heat transfer coefficient;
根据能量变化得到Qi1,Qi2,Qi3,将其代入(1)式并进行简化,得到计算模型(2):According to the energy change, Q i1 , Q i2 , and Q i3 are obtained, which are substituted into the formula (1) and simplified to obtain the calculation model (2):
其中,Pi1(t)为第i个温区上温区加热功率,xi1,xi2分别为第i个温区上/下温区温度,x(i-1)1,x(i-1)2表示第i-1个温区上/下温区温度,φ(xi1(t))表示上温区化学反应消耗的热量,vi第i个温区通入的气氛流量;Among them, P i1 (t) is the heating power of the upper temperature zone of the i-th temperature zone, x i1 , x i2 are the temperature of the upper/lower temperature zone of the i-th temperature zone, respectively, x (i-1)1 , x (i- 1) 2 represents the temperature in the upper/lower temperature zone of the i-1th temperature zone, φ(x i1 (t)) represents the heat consumed by the chemical reaction in the upper temperature zone, and vi is the flow rate of the atmosphere introduced into the i -th temperature zone;
同理可得第i个温区的下温区的计算模型,最后将两个计算模型进行简化处理,得到最终的机理模型(3):In the same way, the calculation model of the lower temperature zone of the i-th temperature zone can be obtained. Finally, the two calculation models are simplified to obtain the final mechanism model (3):
其中,xi1,xi2分别表示第i个温区上下温区温度;ui1=Pi1Δt,ui2=Pi2Δt分别表示第i个温区上下温区加热棒Δt内产生的热量;vi表示第i个温区通入的气氛流量;x(i-1)1,x(i-1)2表示第i个温区的前一个温区上下温区的温度,x(i+1)1,x(i+1)2后一个温区上下温区的温度;φ(xi1),φ(xi2)表示第i个温区上/下温区化学反应消耗的热量,其它为系统待辨识参数;Among them, x i1 and x i2 respectively represent the temperature of the upper and lower temperature zones of the i-th temperature zone; u i1 =P i1 Δt, u i2 =P i2 Δt respectively represent the heat generated in the heating rod Δt of the i-th temperature zone at the upper and lower temperature zones; v i represents the flow rate of the atmosphere entering the ith temperature zone; x (i-1)1 , x (i-1)2 represent the temperature of the upper and lower temperature zones of the previous temperature zone of the ith temperature zone, x (i+ 1) The temperature of the upper and lower temperature zones in the next temperature zone after 1 , x (i+1)2 ; φ(x i1 ), φ(x i2 ) represent the heat consumed by the chemical reaction in the upper/lower temperature zone of the i-th temperature zone, other are the parameters to be identified by the system;
再次,考虑到辊道窑温度不断变化,反应消耗的热量无法通过一个具体的关系式来表示,但在恒压、恒体积以及通入气氛流量一定条件下,化学反应消耗的能量仅与当前温区温度有关,所以可以表示为与温度有关的函数,利用高斯核函数对化学反应消耗的热量进行分段拟合,如(4)式:Again, considering that the temperature of the roller kiln is constantly changing, the heat consumed by the reaction cannot be represented by a specific relational formula, but under the conditions of constant pressure, constant volume and the flow of the incoming atmosphere, the energy consumed by the chemical reaction is only the same as the current temperature. Therefore, it can be expressed as a function related to temperature. The Gaussian kernel function is used to fit the heat consumed by the chemical reaction in pieces, such as formula (4):
其中,xi1,xi2表示第i个温区上/下温区温度;x′i1,x′i2表示上/下温区分段点温度,xmax,xmin表示第i个温区上温区温度最大、最小值,x′max,x′min表示第i个温区下温区温度最大、最小值,αi,βi辨识系数。Among them, x i1 , x i2 represent the temperature of the upper/lower temperature zone of the i-th temperature zone; x′ i1 , x′ i2 represent the segment point temperature of the upper/lower temperature zone, and x max , x min represent the upper temperature of the i-th temperature zone The maximum and minimum temperature of the zone, x′ max , x′ min represent the maximum and minimum temperature of the temperature zone under the ith temperature zone, α i , β i identification coefficients.
将两个计算模型进行一定的简化处理,得到最终的机理模型(5):The two calculation models are simplified to a certain extent, and the final mechanism model (5) is obtained:
其中,xi1,xi2分别表示第i个温区上/下温区温度;ui1=Pi1Δt,ui2=Pi2Δt分别表示第i个温区上下温区加热棒Δt内产生的热量;vi表示第i个温区通入的气氛流量;x(i-1)1,x(i-1)2,x(i+1)1,x(i+1)2表示第i个温区前后温区的温度;x′i1,x′i2表示上/下温区分段点温度,xmax,xmin表示第i个温区上温区温度最大、最小值,x′max,x′min表示第i个温区下温区温度最大、最小值;其它为系统待辨识参数;Among them, x i1 , x i2 represent the temperature of the upper/lower temperature zone of the i-th temperature zone respectively; u i1 =P i1 Δt, u i2 =P i2 Δt respectively represent the temperature generated in the heating rod Δt of the upper and lower temperature zones of the i-th temperature zone Heat; v i represents the flow rate of the atmosphere entering the i-th temperature zone; x (i-1)1 , x (i-1)2 , x (i+1)1 , x (i+1)2 represent the i-th The temperature of the temperature zone before and after each temperature zone; x′ i1 , x′ i2 represent the segment point temperature of the upper/lower temperature zone, x max , x min represent the maximum and minimum temperature of the upper temperature zone of the i-th temperature zone, x′ max , x'min represents the maximum and minimum temperature of the temperature zone under the i-th temperature zone; the others are the parameters to be identified by the system;
最后利用数据库里的样本数据采用最小二乘参数辨识方法对机理模型参数进行辨识,并仿真验证;Finally, using the sample data in the database, the parameter identification method of least squares is used to identify the parameters of the mechanism model, and the simulation verification is carried out;
3)基于局部加权核主成分回归的非线性时变过程的温度误差预测建模:根据辊道窑烧结过程数据具有高维度、强非线性以及过程时变特性,分别采用主成分分析法、核技巧以及即时学习方法,建立基于局部加权核主成分回归的非线性时变过程的温度误差预测模型;3) Temperature error prediction modeling of nonlinear time-varying process based on locally weighted kernel principal component regression: According to the high dimensionality, strong nonlinearity and process time-varying characteristics of the sintering process data of roller kiln, principal component analysis method, kernel Skills and real-time learning methods to establish a temperature error prediction model for nonlinear time-varying processes based on locally weighted kernel principal component regression;
首先将数据库里的样本数据分类:训练样本,验证样本,测试样本,根据各个样本与测试样本之间的距离大小,即相似度获得权重系数,其中,历史样本与测试样本之间的距离以及指定权重值,采用(6)式:First, classify the sample data in the database: training samples, verification samples, test samples, and obtain the weight coefficient according to the distance between each sample and the test sample, that is, the similarity, among which, the distance between the historical sample and the test sample and the specified Weight value, using formula (6):
其中,xi为历史数据,xq为测试样本,di表示历史样本与测试样本之间的距离,σ表示调节权重随距离变化快慢的参数,wi表示指定权重值;Among them, x i is the historical data, x q is the test sample, d i represents the distance between the historical sample and the test sample, σ represents the parameter that adjusts the speed of the weight changing with the distance, and wi represents the specified weight value;
构建经过非线性高维空间投影后的加权训练样本φw(xi),计算加权协方差矩阵(7):Construct the weighted training samples φ w (x i ) after nonlinear high-dimensional space projection, and calculate the weighted covariance matrix (7):
其次,为了提取数据非线性部分,使获得的结果更能反应真实实际,引入高斯核函数对非线性特性进行提取,即计算各个样本在投影方向的得分向量,包括训练样本以及测试样本的得分向量,计算公式(8)所示:Secondly, in order to extract the nonlinear part of the data and make the obtained results more reflect the reality, a Gaussian kernel function is introduced to extract the nonlinear characteristics, that is, the score vector of each sample in the projection direction is calculated, including the score vector of training samples and test samples. , as shown in formula (8):
其中,TW,K,tq W,K分别表示训练样本、测试样本得分向量,Kw,Kq w分别表示训练样本、测试样本投影核矩阵,αd W,K表示投影到d维空间的特征向量;Among them, T W, K , t q W, K represent training sample and test sample score vector respectively, K w , K q w represent training sample and test sample projection kernel matrix respectively, α d W, K represent projection to d-dimensional space eigenvector of ;
然后,建立输出变量与非线性特征之间的最小二乘回归模型,计算公式(9):Then, establish the least squares regression model between the output variable and the nonlinear feature, and calculate the formula (9):
最后利用数据库里的数据作为输入,实际温度与机理模型输出的差值作为训练样本,对模型参数进行优化辨识,并仿真验证;Finally, the data in the database is used as the input, and the difference between the actual temperature and the output of the mechanism model is used as the training sample, and the model parameters are optimized and identified, and the simulation verification is carried out;
4)机理与数据相结合的辊道窑温度预测集成建模方法:首先,利用数据库的样本数据,采用最小二乘参数辨识方法对机理模型参数进行,仿真得到模型输出;然后,以机理模型的输入作为数据模型输入,以实际温度与机理模型输出的差值作为数据模型的输出,以此建立新的样本数据对数据模型参数进行优化,仿真得到温度误差预测输出;最后,将机理模型得到的输出与数据模型得到的误差预测输出求和,最终得到集成模型的温度预测输出。4) The integrated modeling method of roller kiln temperature prediction combining mechanism and data: First, using the sample data of the database, the least square parameter identification method is used to carry out the parameters of the mechanism model, and the model output is obtained by simulation; The input is used as the input of the data model, the difference between the actual temperature and the output of the mechanism model is used as the output of the data model, and new sample data are established to optimize the parameters of the data model, and the temperature error prediction output is obtained by simulation; The output is summed with the error prediction output obtained by the data model, and finally the temperature prediction output of the integrated model is obtained.
本发明具有如下有益效果:The present invention has the following beneficial effects:
1)本发明所建立的机理模型,相比于一阶时滞系统,包含了烧结过程中更多的影响因素,最终得到的结果更加贴近实际;1) Compared with the first-order time-delay system, the mechanism model established by the present invention includes more influencing factors in the sintering process, and the final result is closer to reality;
2)考虑到辊道窑烧结是一个十分复杂的过程,无法通过一个单一机理模型描述整个烧结过程,并且机理模型是通过一定简化而来,这样难免会存在模型误差,然而模型中无法体现的影响因素与误差之间的关系比较复杂,无法通过确定的关系建立数学模型来描述,为了得到更好的预测结果,以机理模型的输入作为输入,以实际温度与机理模型输出的差值作为训练样本,建立数据驱动模型,该模型补充了机理模型无法体现的重要影响因素,使整个系统包含的实际更丰富,得到最终的输出结果更精确;2) Considering that roller kiln sintering is a very complex process, it is impossible to describe the entire sintering process through a single mechanism model, and the mechanism model is obtained through certain simplification, so there will inevitably be model errors, but the impact that cannot be reflected in the model The relationship between factors and errors is complex and cannot be described by establishing a mathematical model through a definite relationship. In order to obtain better prediction results, the input of the mechanism model is used as the input, and the difference between the actual temperature and the output of the mechanism model is used as the training sample. , establish a data-driven model, which supplements the important influencing factors that cannot be reflected by the mechanism model, so that the actual content of the entire system is more abundant, and the final output results are more accurate;
3)将机理模型得到的输出以及数据模型的温度误差预测输出求和,可以得到更加精确的预测输出。利用本模型能够更好的跟踪过程的状态变化,为辊道窑温度控制提供很好的指导作用,从而提高产品生产质量以及合格率。3) Summing the output obtained by the mechanism model and the temperature error prediction output of the data model, a more accurate prediction output can be obtained. Using this model can better track the state change of the process, and provide a good guide for the temperature control of the roller kiln, thereby improving the production quality and qualification rate of the product.
附图说明Description of drawings
图1是本发明机理与数据相结合的辊道窑温度预测集成模型原理图;Fig. 1 is the principle diagram of the roller kiln temperature prediction integrated model combining the mechanism and data of the present invention;
图2是本发明第2个温区机理模型输出的效果示意图;Fig. 2 is the effect schematic diagram of the 2nd temperature zone mechanism model output of the present invention;
图3是本发明第3个温区机理模型输出的效果示意图;Fig. 3 is the effect schematic diagram of the 3rd temperature zone mechanism model output of the present invention;
图4是本发明第2个温区上温区误差预测数据模型输出的效果示意图;4 is a schematic diagram of the effect of the output of the temperature zone error prediction data model in the second temperature zone of the present invention;
图5是本发明第3个温区上温区误差预测数据模型输出的效果示意图;5 is a schematic diagram of the effect of the output of the temperature zone error prediction data model in the third temperature zone of the present invention;
图6是本发明第2个温区辊道窑温度预测集成模型输出的效果示意图;6 is a schematic diagram of the effect of the output of the second temperature zone roller kiln temperature prediction integrated model of the present invention;
图7是本发明第3个温区辊道窑温度预测集成模型输出的效果示意图。FIG. 7 is a schematic diagram of the output of the integrated model for predicting the temperature of the roller kiln in the third temperature zone of the present invention.
具体实施方式Detailed ways
为更好地说明本发明,兹以一优选实施例,并配合附图对本发明作详细说明,具体如下:In order to better illustrate the present invention, a preferred embodiment is hereby described in detail with the accompanying drawings, as follows:
实施例1Example 1
步骤1:数据预处理:对辊道窑过程运行数据进行前期整理,包括显示错误的数据,缺失的数据等,整理好后将其存储于所创建的数据库中,该数据库中主要包括如下数据:辊道窑第i个温区上/下温区温度xi1,xi2,上/下温区加热功率Pi1,Pi2,第i个温区前后温区温度分别为x(i-1)1,x(i-1)2,x(i+1)1,x(i+1)2,通入每个温区的气氛流量vi,物料及钵体移动的速度V;所得数据调用一定量作为训练样本数据,用于辨识模型参数以及数据误差预测模型的建立;Step 1: Data preprocessing: pre-organize the operation data of the roller kiln process, including data showing errors, missing data, etc., and store it in the created database after finishing, which mainly includes the following data: The temperature of the upper/lower temperature zone of the i-th temperature zone of the roller kiln is x i1 , x i2 , the heating power of the upper/lower temperature zone is P i1 , P i2 , the temperature of the temperature zone before and after the i-th temperature zone is x (i-1) 1 , x (i-1)2 , x (i+1)1 , x (i+1)2 , the flow rate of the atmosphere entering each temperature zone vi , the speed V of the material and the bowl moving; the obtained data call A certain amount of training sample data is used to identify model parameters and establish a data error prediction model;
步骤2:首先,通过对第i1个温区影响温度变化因素深入分析,温度变化主要受如下三个方面的影响Step 2: First, through the in-depth analysis of the factors affecting the temperature change in the i1th temperature zone, the temperature change is mainly affected by the following three aspects
①内部热量变化: ①Internal heat change:
②显热变化:Qi2=α0Ci0vi1xq0+Ci1mi1x(i-1)1-Ci2vi2xq1-Ci3mi2xi1(t)② Sensible heat change: Q i2 = α 0 C i0 v i1 x q0 +C i1 m i1 x (i-1)1 -C i2 v i2 x q1 -C i3 m i2 x i1 (t)
③传热变化:③ Changes in heat transfer:
Qi3=ωi1(x(i+1)1(t)-xi1(t))-ωi2(xi1(t)-x(i-1)1(t))-ωi3(xi1(t)-xi2(t))-ωi4(xi1(t)-xq2)Q i3 =ω i1 (x (i+1)1 (t)-x i1 (t))-ω i2 (x i1 (t)-x (i-1)1 (t))-ω i3 (x i1 (t)-x i2 (t))-ω i4 (x i1 (t)-x q2 )
其中,内部热量变化由硅碳棒加热、水蒸气耗热以及化学反应耗热构成;显热变化由气氛、物料、钵体带入的热量与气氛、物料、钵体带走的热量构成;传热变化是指高温区向低温区传递的热量变化。Pi1(t)是第i1个温区t时刻的功率,ωi1,ωi2,ωi3,ωi4表示温度与能量转换系数;x(i-1)1,x(i-1)2,x(i+1)1,x(i+1)2表示第i-1、i+1个温区上/下温区t时刻温度;xi1,xi2表示第i个温区上/下温区t时刻对应的温度,α0,C0,Ci0,Ci1,Ci2,Ci3,xq0,xq1,xq2,mi0,mi1,mi2在一定条件下均看作常数;vi1表示一个小时气氛在标准状态下的第i个温区通入的气氛流量。vi2表示第i个温区排出的气氛流量Among them, the internal heat change is composed of silicon carbon rod heating, water vapor heat consumption and chemical reaction heat consumption; the sensible heat change is composed of the heat brought in by the atmosphere, materials, and the pot body and the heat taken away by the atmosphere, materials, and the pot body; Thermal change refers to the change of heat transferred from the high temperature area to the low temperature area. P i1 (t) is the power at time t in the i1th temperature zone, ω i1 , ω i2 , ω i3 , ω i4 represent the temperature and energy conversion coefficient; x (i-1)1 , x (i-1)2 , x (i+1)1 , x (i+1)2 represent the temperature at time t in the i-1, i+1 th temperature zone upper/lower temperature zone; x i1 , x i2 represent the i-th temperature zone upper/lower The temperature corresponding to time t in the temperature zone, α 0 , C 0 , C i0 , C i1 , C i2 , C i3 , x q0 , x q1 , x q2 , m i0 , m i1 , and m i2 are regarded as all under certain conditions Constant; v i1 represents the flow rate of the atmosphere entering the i-th temperature zone in the standard state for one hour. v i2 represents the atmospheric flow rate discharged from the i-th temperature zone
其次,根据温度变化与能量变化的关系建立关系式(1):Secondly, formula (1) is established according to the relationship between temperature change and energy change:
将三者数学关系式代入上式并进行一定简化可得第i1个温区温度如下计算模型Substitute the mathematical relationship of the three into the above formula and perform certain simplification to obtain the following calculation model for the temperature of the i1th temperature zone
其中,Pi1(t)为第i个温区上温区加热功率,xi1,xi2分别为第i个温区上/下温区温度,x(i-1)1(t),x(i+1)1(t)表示第i-1,i+1个温区上温区温度,vi第i个温区通入的气氛流量,φ(xi1(t))表示上温区化学反应消耗的热量。Among them, P i1 (t) is the heating power of the upper temperature zone of the ith temperature zone, x i1 , x i2 are the temperature of the upper/lower temperature zone of the ith temperature zone, respectively, x (i-1)1 (t), x (i+1)1 (t) represents the temperature in the upper temperature zone of the i-1, i+1 temperature zone, v i The flow rate of the atmosphere entering the i-th temperature zone, φ(x i1 (t)) represents the upper temperature Heat consumed by chemical reactions in the zone.
同理可得第i2个温区温度如下计算模型(3):In the same way, the following calculation model (3) can be obtained for the temperature of the i2-th temperature zone:
其中,Pi2(t)为第i个温区下温区加热功率,xi1,xi2分别为第i个温区上/下温区温度,x(i-1)2(t),x(i+1)2(t)表示第i-1,i+1个温区上温区温度,vi第i个温区通入的气氛流量,φ(xi2(t))表示下温区化学反应消耗的热量。Among them, P i2 (t) is the heating power of the lower temperature zone of the i-th temperature zone, x i1 , x i2 are the temperatures of the upper/lower temperature zone of the i-th temperature zone, respectively, x (i-1)2 (t), x (i+1)2 (t) represents the temperature in the upper temperature zone of the i-1, i+1 temperature zone, v i The atmospheric flow rate of the i-th temperature zone, φ(x i2 (t)) represents the lower temperature Heat consumed by chemical reactions in the zone.
再次,考虑到辊道窑温度不断变化,反应消耗的热量无法通过一个具体的关系式来表示,但在恒压、恒体积以及通入气氛流量一定条件下,化学反应消耗的能量仅与当前温区温度有关,所以可以表示为与温度有关的函数,利用高斯核函数对化学反应消耗的热量进行分段拟合,如(4)式:Again, considering that the temperature of the roller kiln is constantly changing, the heat consumed by the reaction cannot be represented by a specific relational formula, but under the conditions of constant pressure, constant volume and the flow of the incoming atmosphere, the energy consumed by the chemical reaction is only the same as the current temperature. Therefore, it can be expressed as a function related to temperature. The Gaussian kernel function is used to fit the heat consumed by the chemical reaction in pieces, such as formula (4):
其中,xi1,xi2表示第i个温区上/下温区温度;x′i1,x′i2表示上/下温区分段点温度,xmax,xmin表示第i个温区上温区温度最大、最小值,x′max,x′min表示第i个温区下温区温度最大、最小值,αi,βi辨识系数。Among them, x i1 , x i2 represent the temperature of the upper/lower temperature zone of the i-th temperature zone; x′ i1 , x′ i2 represent the segment point temperature of the upper/lower temperature zone, and x max , x min represent the upper temperature of the i-th temperature zone The maximum and minimum temperature of the zone, x′ max , x′ min represent the maximum and minimum temperature of the temperature zone under the ith temperature zone, α i , β i identification coefficients.
将两个计算模型进行一定的简化处理,得到最终的机理模型(5):The two calculation models are simplified to a certain extent, and the final mechanism model (5) is obtained:
其中,xi1,xi2分别表示第i个温区上/下温区温度;ui1=Pi1Δt,ui2=Pi2Δt分别表示第i个温区上下温区加热棒Δt内产生的热量;vi表示第i个温区通入的气氛流量;x(i-1)1,x(i-1)2,x(i+1)1,x(i+1)2表示第i个温区前后温区的温度;x′i1,x′i2表示上/下温区分段点温度,xmax,xmin表示第i个温区上温区温度最大、最小值,x′max,x′min表示第i个温区下温区温度最大、最小值;其它为系统待辨识参数;Among them, x i1 , x i2 represent the temperature of the upper/lower temperature zone of the i-th temperature zone respectively; u i1 =P i1 Δt, u i2 =P i2 Δt respectively represent the temperature generated in the heating rod Δt of the upper and lower temperature zones of the i-th temperature zone Heat; v i represents the flow rate of the atmosphere entering the i-th temperature zone; x (i-1)1 , x (i-1)2 , x (i+1)1 , x (i+1)2 represent the i-th The temperature of the temperature zone before and after each temperature zone; x′ i1 , x′ i2 represent the segment point temperature of the upper/lower temperature zone, x max , x min represent the maximum and minimum temperature of the upper temperature zone of the i-th temperature zone, x′ max , x'min represents the maximum and minimum temperature of the temperature zone under the i-th temperature zone; the others are the parameters to be identified by the system;
最后利用数据库里的样本数据采用最小二乘参数辨识方法对机理模型参数进行辨识,并仿真验证,如图2、图3为第2、3温区机理模型输出与实际温度效果图,其中,青色、黑色曲线分别表示第2、3温区上下温区实际温度,红色、蓝色曲线分别表示第2、3温区上下温区机理模型输出结果;将温度输出以及与实际温度的差值等数据存入数据库中。Finally, the sample data in the database is used to identify the parameters of the mechanism model by the least squares parameter identification method, and the simulation verification is carried out. Figures 2 and 3 are the output of the mechanism model and the actual temperature effect in the second and third temperature zones. The black curves represent the actual temperature in the upper and lower temperature zones of the 2nd and 3rd temperature zones respectively, and the red and blue curves represent the output results of the mechanism model of the upper and lower temperature zones of the 2nd and 3rd temperature zones respectively; stored in the database.
步骤3:为对机理模型产生的温度误差进行有效补偿,需要对机理模型产生的温度误差建立数据模型。首先将数据库里的样本数据分类:训练样本,验证样本,测试样本,其中,数据模型输入包含机理模型的输入、相邻温区温度以及物料移动的速度。根据各个样本与测试样本之间的距离大小,即相似度获得权重系数,其中,历史样本与测试样本之间的距离以及指定权重值,采用式(6):Step 3: In order to effectively compensate the temperature error generated by the mechanism model, it is necessary to establish a data model for the temperature error generated by the mechanism model. First, classify the sample data in the database: training samples, verification samples, and test samples, where the data model input includes the input of the mechanism model, the temperature of the adjacent temperature zone, and the speed of the material moving. The weight coefficient is obtained according to the distance between each sample and the test sample, that is, the similarity, wherein, the distance between the historical sample and the test sample and the specified weight value, using formula (6):
其中,xi为历史数据,xq为测试样本,di表示历史样本与测试样本之间的距离,σ表示调节权重随距离变化快慢的参数,wi表示指定权重值;Among them, x i is the historical data, x q is the test sample, d i represents the distance between the historical sample and the test sample, σ represents the parameter that adjusts the speed of the weight changing with the distance, and wi represents the specified weight value;
构建经过非线性高维空间投影后的加权训练样本,计算加权协方差矩阵(7):Construct the weighted training samples after nonlinear high-dimensional space projection, and calculate the weighted covariance matrix (7):
其次,为了提取数据非线性部分,使获得的结果更能反应真实实际,引入高斯核函数对非线性特性进行提取,即计算各个样本在投影方向的得分向量,包括训练样本以及查询样本的得分向量,计算公式(8):Secondly, in order to extract the nonlinear part of the data and make the obtained results more reflective of the real reality, a Gaussian kernel function is introduced to extract the nonlinear characteristics, that is, the score vector of each sample in the projection direction is calculated, including the score vector of training samples and query samples. , the calculation formula (8):
再次,建立输出变量与非线性特征之间的最小二乘回归模型,计算公式(9):Again, establish the least squares regression model between the output variable and the nonlinear feature, and calculate the formula (9):
最后利用数据库样本数据对数据模型参数进行优化,并得到温度误差预测输出,图4、图5为第2、3温区上温区温度误差预测输出效果示意图,其中红色线表示预测结果,蓝色表示测试样本。Finally, the database sample data is used to optimize the data model parameters, and the temperature error prediction output is obtained. Figure 4 and Figure 5 are schematic diagrams of the temperature error prediction output effect in the upper temperature zone of the second and third temperature zones. The red line represents the prediction result, and the blue Represents a test sample.
步骤4:为了得到更加精确的温度预测输出,将机理模型与数据模型相结合,建立辊道窑温度预测集成模型,图1表示机理与数据相结合的辊道窑温度预测集成模型原理图;将机理模型得到的输出以及数据模型的温度误差预测输出求和,可以得到更加精确的预测输出,图6、7为第2、3个温区上温区辊道窑温度预测集成模型输出的效果示意图。从结果分析可知,利用本模型能够更好的跟踪过程的状态变化,为辊道窑温度控制提供很好的指导作用,从而提高产品生产质量以及合格率。Step 4: In order to obtain a more accurate temperature prediction output, the mechanism model and the data model are combined to establish an integrated model of roller kiln temperature prediction. Figure 1 shows the principle diagram of the integrated model of roller kiln temperature prediction combined with mechanism and data; The output obtained by the mechanism model and the temperature error prediction output of the data model can be summed to obtain a more accurate prediction output. Figures 6 and 7 are schematic diagrams of the output of the integrated model output of the roller kiln temperature prediction in the upper temperature zone of the second and third temperature zones. . It can be seen from the analysis of the results that the model can better track the state change of the process, and provide a good guidance for the temperature control of the roller kiln, thereby improving the production quality and qualification rate of the product.
以上公开的仅为本申请的一具体实施例,但本申请并非局限于此任何本领域的技术人员能思之的变化,都应落在本申请的保护范围内。The above disclosure is only a specific embodiment of the present application, but the present application is not limited to any changes that can be conceived by those skilled in the art, and should fall within the protection scope of the present application.
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