摘要
铜精炼炉内温度是冶炼过程重要的工艺和控制参数,但难以实现在线连续测量.本文在考虑了炉内高温在线测量需求的基础上,根据炉墙物理结构建立了炉墙非线性瞬态热传导模型,提出采用热电偶测量炉墙内温度以求解热传导反问题间接计算炉内壁温度的解决方案:根据热电偶测温位置将求解域划分为正区域与反区域两部分,引入基于最小方差的局部正交Gram多项式理论对测温信号进行平滑滤波,运用有限元法求解正区域边界热通量,利用直线法高效求解炉内壁温度,实现炉温在线连续测量.具体的实验结果表明,本方法能够克服了热传导反问题不适定性,是一种有效的炉温间接测量方法.
Temperature is an important parameter in the copper refining furance process control, but many difficulties exist in its online measurment. After considering the system requirement, we bulit the nonlinear transient heat transfer model of copper furnace wall, proposed an indirect measurement method that we can use thermalcouple to get the inner temperature in the wall to solve inverse heat transferproblem： divided the field into direct region and inverse region first, then introduced orthogonal Gram polynomial theory to smooth thermalcouple signal and finite element method to get heat flux on the inner edge of the dirsct region, finally used the numerical method of line to reconstruct online inner wall temperature. Experiments showed that our method can conquer the ill-posed characteristic of this problem and measure the temperature in the furnace efficiently.
出处
《数值计算与计算机应用》
CSCD
2012年第4期251-260,共10页
Journal on Numerical Methods and Computer Applications
基金
国家高技术研究发展计划(863计划)项目(2009AA04Z154)
国家科技支撑计划项目课题(2011BAE23B05)资助
关键词
铜精炼炉
高温在线测量
反问题
直线法
不适定性
copper refining furnace
high temperature online measurement
inverseproblem
method of line
ill-posed problem
