融合发射率预识别和白鲨优化算法的高温表面温度场多光谱测量方法

doi:10.7527/S1000-6893.2025.31662

Abstract

Abstract:

Multispectral thermometer is widely used for temperature measurement of high temperature components in gas turbines such as turbine blades and combustion chambers. However， without the prior emissivity information of the measured target， the multi-spectral thermometer often results in large measurement error， which limits its practical application. In this paper， a multi-spectrum radiation-based temperature inversion method integrating emissivity pre-recognition is proposed. This method transforms the underdetermined radiation equations into a constrained optimization problem of the objective function. Based on the grey body hypothesis and generalized inverse matrix method， the range of emissivity is firstly obtained and added to the objective function as a constraint. The White Shark optimization algorithm is further used to achieve the high-precision temperature solution of the constrained objective function. The key parameters and reconstruction performance of the proposed algorithm are discussed on the six simulated emissivity models at different temperatures. The simulation results showed that the maximum error of the temperature inversion is 1.95% at 800-1 000 K. Finally， the temperature measurement experiments are carried out on a high temperature surface in the lab. The maximum deviation of the measured temperature between the proposed method and the thermocouple is 2.01%， verifying that the proposed multi-spectral measurement method has high accuracy and stability.

Key words: multi-spectral temperature measurement, emissivity, pre-recognition, temperature, White Shark optimization algorithm

CLC Number:

V4.9

Zhengjun ZHANG, Yizhi HUANG, Yan LIU, Biao ZHANG, Xiang XU, Chuanlong XU. Multi-spectral measurement method for high-temperature surface temperature field through emissivity pre-recognition and White Shark optimization algorithm[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(16): 131662.

Figures/Tables 15

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References 40

[1]	李酽，刘秀琳，李艾琳，等. 材料科学基础［M］. 北京：冶金工业出版社， 2024： 117-135.
	LI Y， LIU X L， LI A L， et al. Fundamentals of materials science［M］. Beijing： Metallurgical Industry Press， 2024： 117-135 （in Chinese）.
[2]	VUELBAN E M， GIRARD F， BATTUELLO M， et al. Radiometric techniques for emissivity and temperature measurements for industrial applications［J］. International Journal of Thermophysics， 2015， 36（7）： 1545-1568.
[3]	FU T R， LIU J F， DUAN M H， et al. Temperature measurements using multicolor pyrometry in thermal radiation heating environments［J］. Review of Scientific Instruments， 2014， 85（4）： 044901.
[4]	LIANG M， SUN B J， SUN X G， et al. Development of a new fiber-optic multi-target multispectral pyrometer for achievable true temperature measurement of the solid rocket motor plume［J］. Measurement， 2017， 95： 239-245.
[5]	WEN C D， CHR Y H. The assessment of multispectral radiation thermometry using linear and log-linear emissivity models for steel［J］. Numerical Heat Transfer， Part B： Fundamentals， 2010， 58（1）： 40-54.
[6]	GIRARD F， BATTUELLO M， FLORIO M. Multiwavelength thermometry at high temperature： why it is advantageous to work in the ultraviolet［J］. International Journal of Thermophysics， 2014， 35（6）： 1401-1413.
[7]	王振华，王亮. 航空发动机试验测试技术发展探讨［J］. 航空发动机， 2014， 40（6）： 47-51.
	WANG Z H， WANG L. Development of aeroengine testing measurement technology［J］. Aeroengine， 2014， 40（6）： 47-51 （in Chinese）.
[8]	MA L H， DUAN K， CHEONG K P， et al. Multispectral infrared absorption spectroscopy for quantitative temperature measurements in axisymmetric laminar premixed sooting flames［J］. Case Studies in Thermal Engineering， 2021， 28： 101575.
[9]	MEKHRENGIN M V， MESHKOVSKII I K， TASHKINOV V A， et al. Multispectral pyrometer for high temperature measurements inside combustion chamber of gas turbine engines［J］. Measurement， 2019， 139： 355-360.
[10]	SVET D I. Determination of the emissivity of a substance from the spectrum of its thermal radiation and optimal methods of optical pyrometry［J］. High Temperatures-High Pressures， 1976， 8（5）： 493-498.
[11]	WEN C D， Mudawar I. Experimental investigation of emissivity of aluminum alloys and temperature determination using multispectral radiation thermometry （MRT） algorithms［J］. Journal of Materials Engineering and Performance， 2002， 11（5）： 551-56.
[12]	WEN C D， MUDAWAR I. Emissivity characteristics of polished aluminum alloy surfaces and assessment of multispectral radiation thermometry （MRT） emissivity models［J］. International Journal of Heat and Mass Transfer， 2005， 48（7）： 1316-1329.
[13]	LIU H W， ZHENG S， ZHOU H C， et al. Measurement of distributions of temperature and wavelength-dependent emissivity of a laminar diffusion flame using hyper-spectral imaging technique［J］. Measurement Science and Technology， 2016， 27（2）： 025201.
[14]	张福才. 基于优化原理的多光谱真温反演算法研究［D］. 哈尔滨：哈尔滨工业大学， 2019： 5-10.
	ZHANG F C. Research on multi-spectral true temperature inversion algorithm based on optimization principle［D］. Harbin： Harbin Institute of Technology， 2019： 5-10 （in Chinese）.
[15]	XING J， PENG B， MA Z， et al. Directly data processing algorithm for multi-wavelength pyrometer （MWP）［J］. Opt Express， 2017， 25（24）： 30560-30574.
[16]	YAO C， SHI S， FANG H， et al. Chameleon swarm algorithm for data processing of a light-field multi-wavelength pyrometer［J］. Opt Express， 2023， 31（12）： 20200-20211.
[17]	高伟玲，张凯华，徐艳粉，等. 改进HPSOGA的多光谱辐射测温数据处理方法［J］. 光谱学与光谱分析， 2023， 43（12）： 3659-3665.
	GAO W L， ZHANG K H， XU Y F， et al. Data processing method for multi-spectral radiometric thermometry based on the improved HPSOGA［J］. Spectroscopy and Spectral Analysis， 2023， 43（12）： 3659-3665 （in Chinese）.
[18]	WANG N， SHEN H， ZHU R H. Constraint optimization algorithm for spectral emissivity calculation in multispectral thermometry［J］. Measurement， 2021， 170： 108725.
[19]	ZHANG Y C， ZOU Z， YAN F. A data processing algorithm for multispectral radiation thermometry based on multi-segment linear model and secondary inversion［J］. Measurement， 2022， 201： 111753.
[20]	XING J， YAN P Y， LI W C， et al. Generalized inverse matrix-long short-term memory neural network data processing algorithm for multi-wavelength pyrometry［J］. Optics Express， 2022， 30（26）： 46081.
[21]	BRAIK M， HAMMOURI A， ATWAN J， et al. White shark optimizer： a novel bio-inspired meta-heuristic algorithm for global optimization problems［J］. Knowledge-Based Systems， 2022， 243： 108457.
[22]	ZHANG R， LI X D， REN H H， et al. UAV flight path planning based on multi-strategy improved white sharks optimization［J］. IEEE Access， 2023， 11： 88462-88475.
[23]	陈戈华，张德江，林晓梅. 基于灰体温度补偿模型的AOD炉底枪红外比色测温系统［J］.冶金自动化， 2013， 37（3）： 62-67.
	CHEN Y H， ZHANG D J， LIN X M. IR colorimetric pyrometry system of AOD bottom lance based on gray body temperature compensation model［J］. Metallurgical Industry Automation， 2013， 37（3）： 62-67 （in Chinese）.
[24]	海啸，朱志杰. 最小二乘法和三次样条曲线拟合的比色测温误差修正对比分析［J］. 激光杂志， 2015， 36（6）： 72-76.
	HAI X， ZHU Z J. The comparison between the least square method and cubic spline interpolation in errors of colorimetry temperature measurement［J］. Laser Journal， 2015， 36（6）： 72-76 （in Chinese）.
[25]	ARAÚJO A. Analysis of multi-band pyrometry for emissivity and temperature measurements of gray surfaces at ambient temperature［J］. Infrared Physics & Technology， 2016， 76： 365-374.
[26]	LIANG J F， DAI L， CHEN S， et al. Generalized inverse matrix-exterior penalty function （GIM-EPF） algorithm for data processing of multi-wavelength pyrometer （MWP）［J］. Optics Express， 2018， 26（20）： 25706-25720.
[27]	XING J， LIU Z J， LUO J S， et al. Generalized inverse matrix normalization algorithm to extract high-temperature data from multiwavelength pyrometry［J］. Review of Scientific Instruments， 2020， 91（10）： 104903.
[28]	SUN B J， SUN X G， DAI J M. Constraints of emissivity model for multi-wavelength pyrometer［J］. Results in Physics， 2020， 19： 103388.
[29]	TIAN Z T， ZHANG K H， XU Y F， et al. Data processing method for simultaneous estimation of temperature and emissivity in multispectral thermometry［J］. Optics Express， 2022， 30（20）： 35381-35397.
[30]	WANG Z T， DAI J M. Multi-spectral radiation thermometry based on the reconstructed spectral emissivity model［J］. Measurement， 2024， 228： 114346.
[31]	GAO S， WANG L X， FENG C， et al. Analyzing the influence of combustion gas on a gas turbine by radiation thermometry［J］. Infrared Physics & Technology， 2015， 73： 184-193.
[32]	GAO S， WANG L X， FENG C， et al. Multi-spectral pyrometer for narrow space with high ambient temperature［J］. Optical Review， 2015， 22（4）： 605-613.
[33]	李友荣. 高等传热学［M］. 北京：科学出版社， 2013： 233-234.
	LI Y R. Advanced heat transfer［M］. Beijing： Science Press， 2013： 233-234 （in Chinese）.
[34]	GAO S， ZHAO C H， CHEN L W， et al. Error analysis and reflection correction for radiation temperature measurements at high background temperatures［J］. Measurement Science and Technology， 2021， 32（5）： 055003.
[35]	FENG C， LI D， GAO S， et al. Calculating the reflected radiation error between turbine blades and vanes based on double contour integral method［J］. Infrared Physics & Technology， 2016， 79： 171-182.
[36]	戴景民，王新北. 材料发射率测量技术及其应用［J］. 计量学报， 2007， 28（3）： 232-236.
	DAI J M， WANG X B. Review of emissivity measurement and its applications［J］. Acta Metrologica Sinica， 2007， 28（3）： 232-236 （in Chinese）.
[37]	DAI J M， FAN Y， CHU Z X. Development of a millisecond pulse-heating apparatus［J］. International Journal of Thermophysics， 2002， 23（5）： 1401-1405.
[38]	HAMEURY J， HAY B， FILTZ J R. Measurement of infrared spectral directional hemispherical reflectance and emissivity at BNM-LNE［J］. International Journal of Thermophysics， 2005， 26（6）： 1973-1983.
[39]	BERGSTRÖM D， POWELL J， KAPLAN A F H. The absorption of light by rough metal surfaces： a three-dimensional ray-tracing analysis［J］. 2008， 103（10）： 103515.
[40]	WEN C D， MUDAWAR I. Modeling the effects of surface roughness on the emissivity of aluminum alloys［J］. International Journal of Heat and Mass Transfer， 2006， 49（23-24）： 4279-4289.

发射率模型	发射率
发射率模型	波长1 050 nm	波长1 250 nm	波长1 550 nm	波长1 650 nm
单调递增型	0.80	0.84	0.89	0.94
单调递减型	0.65	0.61	0.55	0.50
Λ型（非单调递减Ⅰ）	0.92	0.88	0.83	0.85
V型（非单调递增Ⅰ）	0.70	0.76	0.81	0.75
N型（非单调递减Ⅱ）	0.86	0.82	0.87	0.80
и型（非单调递增Ⅱ）	0.65	0.71	0.68	0.72

温度/K	时间/s
温度/K	单调递增型	单调递减型	Λ型	V型	N型	и型
800	0.295	0.299	0.312	0.311	0.311	0.313
900	0.296	0.294	0.327	0.312	0.31	0.312
1 000	0.296	0.294	0.314	0.318	0.315	0.318

加热温度/K	测量温度/K
加热温度/K	区域1	区域2	区域3	区域4	区域5	区域6	区域7	区域8	区域9
623	686.6	693.2	686.6	695.9	685.9	692.6	686.6	691.5	685.7
673	713.2	746	713.5	748.1	715.7	745.7	714.7	743.9	712.5
723	755.8	809.2	753.9	812.4	760.6	810.4	756.1	808.4	755

加热温度/K	相对误差/%
加热温度/K	区域1	区域2	区域3	区域4	区域5	区域6	区域7	区域8	区域9
623	-1.87	1.17	-1.93	0.32	-1.72	1.24	-1.87	0.87	-1.97
673	-1.82	0.34	-1.95	0.74	-1.12	0.33	-1.78	-0.3	-1.88
723	-1.92	0.78	-2.01	0.83	-1.39	0.61	-1.84	-0.16	-1.82

Multi-spectral measurement method for high-temperature surface temperature field through emissivity pre-recognition and White Shark optimization algorithm

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