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Advanced Modeling of Hydrogen Turbines Using Generalized Conformable Calculus

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  • Oscar Oswaldo Sánchez-Sánchez

    (Departament of Physics and Mathematics, Universidad Iberoamericana, Prolongación Paseo de Reforma 880, Lomas de Santa Fe, Ciudad de México 01219, Mexico
    These authors contributed equally to this work.)

  • Josué Neftalí Gutiérrez-Corona

    (Departament of Physics and Mathematics, Universidad Iberoamericana, Prolongación Paseo de Reforma 880, Lomas de Santa Fe, Ciudad de México 01219, Mexico
    These authors contributed equally to this work.)

  • Marco Antonio Polo-Labarrios

    (Departament of Physics and Mathematics, Universidad Iberoamericana, Prolongación Paseo de Reforma 880, Lomas de Santa Fe, Ciudad de México 01219, Mexico
    Energy Resources Engineering Area, Universidad Autónoma Metropolitana Unidad Iztapalapa, Av. San Rafael Atlixco 186, Ciudad de México 09340, Mexico
    Department of Energy Systems, Universidad Nacional Autónoma de México, Av. Universidad 3000, Ciudad Universitaria, Coyoacán, Ciudad de México 04510, Mexico
    These authors contributed equally to this work.)

  • Guillermo Fernandez-Anaya

    (Departament of Physics and Mathematics, Universidad Iberoamericana, Prolongación Paseo de Reforma 880, Lomas de Santa Fe, Ciudad de México 01219, Mexico
    These authors contributed equally to this work.)

Abstract

This article addresses critical challenges in the transition to clean energy sources by highlighting the importance of advanced mathematical modeling and computational techniques in turbine design and operation. Specifically, we extend and generalize the work of Camporeale to advance the modeling of hydrogen turbine systems. By utilizing conformable calculus, we develop dynamic equations that analyze key aspects of turbine performance, including temperature variations in turbine blades, angular velocities of rotating shafts, and mass–energy balances within the plenum and combustion chamber. Furthermore, we incorporate Kirchhoff’s equation in its generalized conformable integral form, enhancing the precision of energy balance calculations and improving the representation of heat transfer processes in the combustion chamber. This methodology introduces novel perspectives in hydrogen turbine research, contributing to the advancement of sustainable and efficient technologies. Our comprehensive approach aims to provide more accurate and efficient predictions of turbine behavior, thereby impacting the design and optimization of hydrogen-based clean energy systems.

Suggested Citation

  • Oscar Oswaldo Sánchez-Sánchez & Josué Neftalí Gutiérrez-Corona & Marco Antonio Polo-Labarrios & Guillermo Fernandez-Anaya, 2024. "Advanced Modeling of Hydrogen Turbines Using Generalized Conformable Calculus," Energies, MDPI, vol. 17(21), pages 1-30, October.
    • Handle: RePEc:gam:jeners:v:17:y:2024:i:21:p:5260-:d:1504157
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    References listed on IDEAS

    as
    1. Hübner, G.R. & Pinheiro, H. & de Souza, C.E. & Franchi, C.M. & da Rosa, L.D. & Dias, J.P., 2021. "Detection of mass imbalance in the rotor of wind turbines using Support Vector Machine," Renewable Energy, Elsevier, vol. 170(C), pages 49-59.
    2. Shafiqur Rehman & Salman A. Khan & Luai M. Alhems, 2020. "A Rule-Based Fuzzy Logic Methodology for Multi-Criteria Selection of Wind Turbines," Sustainability, MDPI, vol. 12(20), pages 1-21, October.
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