Modelado no lineal de válvulas en un sistema hidráulico algebraico diferencial de mezcla de dos flujos

Semadar Bojórquez Sánchez; Juan Reyes Reyes; Gloria Lilia Osorio Gordillo; Rodolfo Amalio Vargas Méndez; Enrique Quintero Mármol Márquez

doi:10.61117/ipsumtec.v4i1.83

Authors

Semadar Bojórquez Sánchez Tecnológico Nacional de México
Juan Reyes Reyes Tecnológico Nacional de México https://orcid.org/0000-0001-7415-9987
Gloria Lilia Osorio Gordillo Tecnológico Nacional de México https://orcid.org/0000-0002-3445-8867
Rodolfo Amalio Vargas Méndez Tecnológico Nacional de México https://orcid.org/0000-0003-4915-9787
Enrique Quintero Mármol Márquez Tecnológico Nacional de México https://orcid.org/0000-0002-6501-7482

DOI:

https://doi.org/10.61117/ipsumtec.v4i1.83

Keywords:

Flow mixture, Nonlinear valve model, Algebraic differential hydraulic system

Abstract

In this paper a differential algebraic model with the nonlinear consideration, which is based on the a coefficient ponderation of the square root of differential pressure through a valve, such coefficient ponderation is associated with the geometry of the valve. This nonlinear valve characteristic is introduced in a dual-flow confluence model with three valves. In the algebraic nonlinear part, a dynamic algebraic solver algorithm is proposed, and in the dynamic part of the model, without loss of generality, a pair of tanks in autonomous dynamics is considered. To show the dynamic representation, a numerical simulation is shown where the valves are configured in a time-varying way, with which the nonlinear behaviors of the liquid levels and the outflow are performed.

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References

Ayala Rojas, L. E., Real, D., & Bolívar, R. (2015). Diseño, modelación, simulación e implementación de un sistema de control de temperatura para la ducha eléctrica (Bachelor 's thesis, Escuela Superior Politécnica de Chimborazo).

Bonhoeffer, B., Boldrini, M., Boiger, G., Kwade, A., & Juhnke, M. (2017). Experimental characterization and simulation of apiezo - actuated micro dispensing valve. Journal of Fluids Engineering, 139(5). DOI: https://doi.org/10.1115/1.4035634

Casadevalls, M. P. (2017). Manejo del agua con el uso de cero energía y ahorro de agua en jardines de hoteles. Revista Ingeniería Agrícola, 6(4), 50-55.

Dang Le, Q., Mereu, R., Besagni, G., Dossena, V., & Inzoli, F. (2018). Computational fluid dynamics modeling of flashing flow in convergent - divergent nozzle. Journal of Fluids Engineering, 140(10). DOI: https://doi.org/10.1115/1.4039908

Duan, Y., Jackson, C., Eaton, M. D., & Bluck, M. J. (2019). An assessment of eddy viscosity models on predicting performance parameters of valves. Nuclear Engineering and Design, 342, 60-77. DOI: https://doi.org/10.1016/j.nucengdes.2018.11.036

Emerson. (2005). Control Valve Handbook. U.S.A: Fisher controls international LLC.

Filgueira, G. G., & Feal, C. V. Algoritmo para Sistemas de Automatización de Llenado, Mezclado y envasado de Líquidos. SAAEI, 6,1046-1050.

Goyal, V., Mishra, P., & Deolia, V. K. (2019). A robust fractional order parallel control structure for flow control using a pneumatic control valve with nonlinear and uncertain dynamics. Arabian Journal for Science and Engineering, 44(3), 2597-2611, DOI: https://doi.org/10.1007/s13369-018-3328-6

Hidalgo, M. C., & Garcia, C. (2017). Friction compensation in control valves: Nonlinear control and usual approaches. Control Engineering Practice, 58, 42-53. DOI: https://doi.org/10.1016/j.conengprac.2016.09.011

Levi, E., Ayala, J. E., & Vázquez, J. F. (2015). Mejoras para el uso eficiente del agua en regaderas domésticas. Tecnología y ciencias del agua, 10(2),33-38.

Li, B., Xu, J., Chen, J., & Sun, J. (2019, July). Modification Simulation Research on Handle Speed of Faucet Test System. In IOP Conference Series: Materials Science and Engineering (Vol. 569, No.4, p.042027). IOP Publishing. DOI: https://doi.org/10.1088/1757-899X/569/4/042027

López Patiño, G. (2016). Análisis y caracterización de las instalaciones interiores de suministro de agua desde el punto de vista de ahorro (Doctoral dissertation).

Moreno, E., Pérez, V., Ledesma, R., Ferrer, M., & Tristán, M. (2013). Contenedor de agua para regadera de ducha. Pérez García - Vicente Rico Moreno - José Luis, 140.

Ogata, K., & Sánchez, G. L. P. (1987). Dinámica de sistemas. Prentice - Hall Hispanoamericana.

Pipan, M., & Herakovic, N. (2018). Closed - loop volume flow control algorithm for fast switching pneumatic valves with PWM signal. Control Engineering Practice, 70,114-120. DOI: https://doi.org/10.1016/j.conengprac.2017.10.008

Ranging kaman, M. H., Haghighi, A., & Lee, P. J. (2019). Frequency domain modeling of pipe transient flow with the virtual valves method to reduce linearization errors. Mechanical Systems and Signal Processing, 131,486-504. DOI: https://doi.org/10.1016/j.ymssp.2019.05.065

Ruiz, P. R. (2001). Abastecimiento de agua. Edición Agosto – 2001.

S. Tiany M. Adewumi, A New Algorithm for Analyzing and Designing Two - Phase Flow Pipeline Networks, Pennsylvania: Society of Petroleum Engineers, SPE28177,1994

Sapaev, K., & Umarov, S. (2019). Two approaches for automating analysis of electromagnetic processes in non-linear circuits with valves. In E3S Web of Conferences (Vol.139, p.01085). EDP Sciences. DOI: https://doi.org/10.1051/e3sconf/201913901085

Schmitt, R., & Sobrinho, M. R. S. (2018). Nonlinear dynamic modeling of a pneumatic process control valve. IEEE Latin America Transactions, 16(4),1070-1075. DOI: https://doi.org/10.1109/TLA.2018.8362139

Sönmez, M. (2016). Two offers to prevent excessive water consumption: A proposal for industrial design departments of universities. Int JWater ResEnvironEng, 8(2),24-31. DOI: https://doi.org/10.5897/IJWREE2014.0531

Sule, I., Imtiaz, S., Khan, F., & Butt, S. (2019). Nonlinear model predictive control of gas kickin a managed pressure drilling system. Journal of Petroleum Science and Engineering, 174,1223-1235. DOI: https://doi.org/10.1016/j.petrol.2018.11.046

Tamayo, G. A. V., Luna, L. V., Beltrán, C. R., & Simancas, M. E. C. (2018). Modelo numérico para el análisis y el diseño de redes de tubería para flujo bifásico. Revista UIS Ingenierías, 17(2),201-214. DOI: https://doi.org/10.18273/revuin.v17n2-2018018

Upadhe, S. N., Mhamane, S. C., Kurhade, A. S., Bapat, P. V., Dhavale, D. B., & Kore, L. J. (2020) Water Saving and Hygienic Faucet for Public Places in Developing Countries. In Techno - Societal 2018 (pp. 617-624). Springer, Cham. DOI: https://doi.org/10.1007/978-3-030-16848-3_56

Wati, D. A. R. (2016, December). Intervaltype - 2 fuzzy logic controllers for multi input multi output system: A shower system case study. In 2016 IEEE Conference on Systems, Process and Control (ICSPC) (pp.154-159). IEEE. DOI: https://doi.org/10.1109/SPC.2016.7920721