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Implementation of Adaptive Observer and Mathematical Model Validation of the Evaporator of an Absorption Heat Transformer

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  • Ricardo Fabricio Escobar-Jiménez

    (Centro Nacional de Investigación y Desarrollo Tecnológico, Tecnológico Nacional de México, Int. Internado Palmira S/N, Palmira, Cuernavaca 62490, Morelos, Mexico
    These authors contributed equally to this work.)

  • Isaac Justine Canela-Sánchez

    (Centro Nacional de Investigación y Desarrollo Tecnológico, Tecnológico Nacional de México, Int. Internado Palmira S/N, Palmira, Cuernavaca 62490, Morelos, Mexico
    These authors contributed equally to this work.)

  • Manuel Adam-Medina

    (Centro Nacional de Investigación y Desarrollo Tecnológico, Tecnológico Nacional de México, Int. Internado Palmira S/N, Palmira, Cuernavaca 62490, Morelos, Mexico)

  • Abisai Acevedo-Quiroz

    (Centro Nacional de Investigación y Desarrollo Tecnológico, Tecnológico Nacional de México, Int. Internado Palmira S/N, Palmira, Cuernavaca 62490, Morelos, Mexico)

  • Armando Huicochea-Rodríguez

    (Centro de Investigación en Ingeniería y Ciencias Aplicadas, UAEM. Av. Universidad No. 1001, Col. Chamilpa, Cuernavaca 62209, Morelos, Mexico)

  • David Juárez-Romero

    (Centro de Investigación en Ingeniería y Ciencias Aplicadas, UAEM. Av. Universidad No. 1001, Col. Chamilpa, Cuernavaca 62209, Morelos, Mexico)

Abstract

This article presents the implementation of an adaptive observer to validate a falling film evaporator mathematical model. The evaporator consists of four coils, and each coil has four tubes. The heating flow in the first and third coils flows from bottom to top. Meanwhile, the heating flow in the second and fourth coils flows from top to bottom. The mathematical model of the evaporator is parameterized with the geometry data of the experimental device. Since the mathematical model depends on the film breakdown onset Reynolds number ( R e O n s e t ) to estimate the evaporator temperatures, an adaptive observer is applied to estimate this unknown parameter ( R e O n s e t ). The observer design is developed through the evaporator mathematical model. The research aims to estimate the R e O n s e t at different operating conditions to accurately estimate the evaporator temperatures since there is no general correlation for estimating it or a sensor to measure this parameter. Once the R e O n s e t is estimated at different operating conditions, the R e O n s e t results are injected into the model for validation. The results of implementing the observer showed that the temperature estimation errors are between 0.00003% and 0.02815%. Moreover, the temperatures simulated with the model using the R e O n s e t estimated with the observers had errors between 0.04012% and 0.14160%.

Suggested Citation

  • Ricardo Fabricio Escobar-Jiménez & Isaac Justine Canela-Sánchez & Manuel Adam-Medina & Abisai Acevedo-Quiroz & Armando Huicochea-Rodríguez & David Juárez-Romero, 2024. "Implementation of Adaptive Observer and Mathematical Model Validation of the Evaporator of an Absorption Heat Transformer," Mathematics, MDPI, vol. 12(23), pages 1-21, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:23:p:3637-:d:1525865
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    References listed on IDEAS

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    1. Furqan Tahir & Abdelnasser Mabrouk & Muammer Koç, 2020. "CFD Analysis of Falling Film Hydrodynamics for a Lithium Bromide (LiBr) Solution over a Horizontal Tube," Energies, MDPI, vol. 13(2), pages 1-15, January.
    2. Hui, Jiuwu, 2024. "Discrete-time integral terminal sliding mode load following controller coupled with disturbance observer for a modular high-temperature gas-cooled reactor," Energy, Elsevier, vol. 292(C).
    3. Wen, Tao & Lu, Lin & He, Weifeng & Min, Yunran, 2020. "Fundamentals and applications of CFD technology on analyzing falling film heat and mass exchangers: A comprehensive review," Applied Energy, Elsevier, vol. 261(C).
    4. Hui, Jiuwu, 2024. "Fixed-time fractional-order sliding mode controller with disturbance observer for U-tube steam generator," Renewable and Sustainable Energy Reviews, Elsevier, vol. 205(C).
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