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Multispectral thermometry data processing algorithm combining augmented Lagrangian method and modified equilibrium

Yucun Zhang1, Zukun Huang1, Xianbin Fu2

  • 1Institute of Electrical Engineering, Yanshan University, Qinhuangdao City 066000, China.

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|November 18, 2025
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Summary
This summary is machine-generated.

This study introduces a novel algorithm for high-temperature multispectral thermometry (1500-3000 K). The modified equilibrium optimizer-augmented Lagrangian method accurately measures temperature in challenging environments.

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Area of Science:

  • Physics
  • Engineering
  • Materials Science

Background:

  • Accurate temperature measurement is critical in high-temperature industrial processes.
  • Traditional methods face limitations at extreme temperatures (1500-3000 K).
  • Multispectral thermometry offers a promising approach for non-contact temperature determination.

Purpose of the Study:

  • To develop an advanced data processing algorithm for multispectral thermometry at high temperatures.
  • To enhance the accuracy and robustness of temperature inversion methods.
  • To provide a real-time temperature measurement solution for extreme conditions.

Main Methods:

  • The proposed algorithm transforms the temperature inversion problem into an equality-constrained optimization problem.
  • It utilizes Planck's law and the augmented Lagrangian method (ALM).
  • A modified equilibrium optimizer is introduced to provide a robust initial emissivity point for ALM, forming the modified equilibrium optimizer-augmented Lagrangian method.

Main Results:

  • Simulation experiments with hypothetical targets, tungsten, and rocket engine plumes validated the algorithm's effectiveness.
  • The modified equilibrium optimizer-augmented Lagrangian method demonstrated superiority over standard ALM.
  • Practical application experiments on 2219 aluminum alloy confirmed the algorithm's real-world applicability.

Conclusions:

  • The developed algorithm offers a feasible and efficient solution for online, real-time multispectral high-temperature measurement.
  • It overcomes limitations associated with initial iteration points in ALM.
  • The method shows significant potential for industrial applications requiring precise high-temperature monitoring.