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Generalized inverse matrix-exterior penalty function (GIM-EPF) algorithm for data processing of multi-wavelength

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    A new algorithm overcomes challenges in multi-wavelength pyrometry (MWP) by accurately determining material temperature without needing prior emissivity knowledge. This method significantly improves computational efficiency for real-time temperature measurements.

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    Area of Science:

    • Thermodynamics
    • Materials Science
    • Optical Engineering

    Background:

    • Unknown material emissivity is a significant challenge in multi-wavelength pyrometry (MWP), leading to ill-posed inverse problems.
    • Existing constraint optimization algorithms (e.g., GP, IPF) require narrow emissivity ranges and accurate initial values, impacting accuracy and efficiency.
    • Accurate temperature measurement is crucial for applications like rocket exhaust diagnostics.

    Purpose of the Study:

    • To develop a generalized inverse matrix-exterior penalty function (GIM-EPF) algorithm for accurate and efficient temperature inversion in MWP.
    • To overcome the limitations of existing methods by removing the need for pre-defined emissivity ranges.
    • To enable near real-time temperature diagnosis in demanding environments.

    Main Methods:

    • A generalized inverse matrix method is employed to obtain initial estimates for spectral emissivities.
    • These initial emissivity values are then used in an exterior penalty function iteration algorithm to determine temperature and spectral emissivity.
    • The GIM-EPF algorithm combines generalized inverse matrix and exterior penalty function approaches.

    Main Results:

    • The GIM-EPF algorithm demonstrates superior computational efficiency compared to the IPF method, achieving 8 times faster performance.
    • Simulations show a low relative error of 0.56% at 1800 K true temperature using the GIM-EPF method.
    • Experimental results from rocket nozzle temperature tests show excellent agreement between GIM-EPF derived temperatures and theoretical/IPF values.

    Conclusions:

    • The GIM-EPF algorithm provides an accurate and computationally efficient solution for multi-wavelength pyrometry without prior emissivity constraints.
    • This method significantly enhances the feasibility of real-time temperature measurements in industrial and aerospace applications.
    • The GIM-EPF approach represents a substantial advancement over traditional constraint optimization techniques for pyrometric temperature determination.