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Port-Hamiltonian Mathematical Model of a Fluid Ring Attitude System

Author

Listed:
  • Juan Cristobal Alcaraz Tapia

    (Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, Lagos de Moreno 47460, Jalisco, Mexico
    These authors contributed equally to this work.)

  • Carlos E. Castañeda

    (Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, Lagos de Moreno 47460, Jalisco, Mexico
    These authors contributed equally to this work.)

  • Héctor Vargas-Rodríguez

    (Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, Lagos de Moreno 47460, Jalisco, Mexico
    These authors contributed equally to this work.)

Abstract

In this article, we propose a mathematical model using the port-Hamiltonian formalism for a satellite’s three-axis attitude system comprising fluid rings. Fluid rings are an alternative to reaction wheels used for the same purpose, since, for the same mass, they can exert a greater torque than a reaction wheel as the fluid can circulate the periphery of the satellite. The port-Hamiltonian representation lays the foundation for a posterior controller that is feasible, stable, and robust based on the interconnection of the system to energy shaping and/or damping injection components, and by adding energy routing controllers. The torques exerted by the fluid rings are modeled using linear regression analysis on the experimental data got from a prototype of a fluid ring. Since the dynamics of turbulent flows is complex, the torques obtained by the prototype lead to a simpler first approach, leaving its uncertainties to a controller. Thus, the attitude system model could be tested in a future prototype before considering a spatial environment.

Suggested Citation

  • Juan Cristobal Alcaraz Tapia & Carlos E. Castañeda & Héctor Vargas-Rodríguez, 2021. "Port-Hamiltonian Mathematical Model of a Fluid Ring Attitude System," Energies, MDPI, vol. 14(21), pages 1-19, October.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:21:p:6906-:d:661326
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    References listed on IDEAS

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    1. Wang, Chuan & Shi, Weidong & Wang, Xikun & Jiang, Xiaoping & Yang, Yang & Li, Wei & Zhou, Ling, 2017. "Optimal design of multistage centrifugal pump based on the combined energy loss model and computational fluid dynamics," Applied Energy, Elsevier, vol. 187(C), pages 10-26.
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