摘要
针对多光谱辐射测温中测温方程组多个未知数的欠定问题,提出了基于泰勒展开式的迭代算法,实现真实温度及发射率的反演。该算法建立波长二次多项式形式的发射率模型,利用泰勒级数的二阶偏导项推导迭代公式,求解真实温度及发射率,并进行了实验验证。实验结果表明,任意给定温度和发射率初值,算法能够精确反演温度,相对误差小于0007,最大温差为1436 K,该模型提高了预测精度,高阶泰勒展开迭代法增强了测温系统稳定性和可靠性,在复杂材料和多变环境下的温度测量中具有较大优势。
An iterative algorithm based on Taylor expansion is proposed to address the underdetermined problem of multiple unknowns in temperature measurement equations for multispectral radiation thermometry,enabling the inversion of both real temperature and emissivity.An emissivity model in the form of a wavelength dependent quadratic polynomial is established and an iteration formula using the second order partial derivatives of the Taylor series is utilized for solving true temperature and emissivity,followed by experimental validation.Experimental results show that regardless of initial values given for temperature and emissivity,the algorithm is able to accurately invert the temperature with a relative error of less than 0.007%and a maximum temperature difference of 14.36 K.This model significantly improves the prediction accuracy,and the higher order Taylor series expansion iterative method enhances the stability and reliability of the temperature measurement system,as a result,the proposed algorithm is highly advantageous in temperature measurement for complex materials and dynamic environments.
作者
唐文婷
陈海滨
刘昶江
徐郁盛
张雄星
TANG Wen-ting;CHEN Hai-bin;LIU Chang-jiang;XU Yu-sheng;ZHANG Xiong-xing(School of Optoelectronic Engineering,Xi′an Technological University,Xi′an 710021,China;National Key Labratory of Energetic Materials,Xi′an 710065,Chian;School of Optoelectronic Engineering,Xidian University,Xi′an 710126,China)
出处
《激光与红外》
北大核心
2025年第10期1593-1599,共7页
Laser & Infrared
基金
陕西省重点研发计划项目(No.2024GX-YBXM-041)
含能材料全国重点实验室基金项目(No.2024-XXXX-XX-JJ-046-06)资助。
关键词
多光谱
辐射测温
发射率模型
反演算法
multispectral
radiometric thermometry
emissivity model
inversion algorithm
