生产场景下回焊炉核心温度数值计算方法  

Numerical Calculation Method of Core Temperature of Reflow Furnace in Production Scenario

作　　者：朱调娟[1] ZHU Tiao-juan(School of Information Engineering,Huizhou Economics and Polytechnic College,Huizhou 516057,China)

机构地区：[1]惠州经济职业技术学院信息工程学院,广东惠州516057

出　　处：《长春师范大学学报》2023年第6期19-23,共5页Journal of Changchun Normal University

基　　金：惠州经济职业技术学院科研项目“数据驱动的回流焊温度曲线控制模型研究”(2020YB06)。

摘　　要：在不同位置间隔布置多组传感器,看上去可以更容易探测热量是如何穿透边界以及在电路板内部传导的,但传感器与电路板的间隙及导热率,造成了传感器实际上更容易受到回焊炉加热器件的热辐射影响,并且电路板厚度极薄,沿厚度方向部署的传感器之间的温度变化被传感器灵敏度带来的噪声完全覆盖.这一场景造成了基本只能依赖核心温度观测值进行炉温的建模和控制,具体体现在数值计算中对沿厚度维度上需要做离散化的量处理十分困难.本文基于第三类边界条件的热传导方程,利用核心温度对时间导数的泰勒公式建立一种核心温度差分方程.拟合和仿真结果表明,本文提出的差分方程具有较好的拟合精度和稳定性,为回焊炉的温度控制和优化提供了适用于数值计算的机理模型.By arranging multiple groups of sensors at different locations,it seems easier to detect how heat penetrates the boundary and conducts inside the circuit board,but the gap and thermal conductivity between the sensor and the circuit board make the sensor more vulnerable to the thermal radiation of the heating device of the reflow furnace,and the thickness of the circuit board is very thin.The temperature variation between sensors deployed along the thickness direction is completely covered by the noise caused by the sensor sensitivity.In this scenario,the modeling and control of furnace temperature can only rely on the observed value of core temperature.In the numerical calculation,it is very difficult to deal with the quantities that need to be discretized along the thickness dimension.Based on the heat conduction equation of the third kind of boundary conditions,a core temperature difference equation is established by using the Taylor formula of the derivative of core temperature to time.Fitting and simulation show that this difference equation has good fitting accuracy and stability,which provides a mechanism model suitable for numerical calculation for the temperature control and optimization of reflow furnace.

关 键 词：第三类边界条件 热传导方程 差分方程 机理模型 

分 类 号：O29[理学—应用数学]