Modelo de operador fraccional para describir la dinámica de los supercondensadores

Palabras clave: Superconductores, derivada conformable, circuito equivalente, validación experimental, operador conformable

Resumen

Este artículo propone un nuevo circuito equivalente para modelar supercondensadores. El circuito propuesto es un arreglo de circuitos RC serie descritos por ecuaciones diferenciales fraccionarias conformables. Se implementa un algoritmo de identificación de parámetros del circuito equivalente, que utiliza como entrada datos experimentales. Los resultados de validación obtenidos muestran que un circuito equivalente que emplea el operador conformable puede ser utilizado para modelar el comportamiento real del supercondensador.

Citas

C. Abbey and G. Joos, “Supercapacitor energy storage for wind energy applications,” IEEE Transactions on Industry Applica- tions, vol. 43, no. 3, pp. 769–776, 2007.

J. Pegueroles-Queralt, F. D. Bianchi, and O. Gomis-Bellmunt, “A power smoothing system based on supercapacitors for renewable distributed generation,” IEEE Transactions on industrial Electro- nics, vol. 62, no. 1, pp. 343–350, 2014.

N. R. Tummuru, M. K. Mishra, and S. Srinivas, “Dynamic energy management of renewable grid integrated hybrid energy storage system,” IEEE Transactions on Industrial Electronics, vol. 62, no. 12, pp. 7728–7737, 2015.

J. S. Martínez, J. Mulot, F. Harel, D. Hissel, M.-C. Pera, R. I. John, and M. Amiet, “Experimental validation of a type-2 fuzzy logic controller for energy management in hybrid electrical vehi- cles,” Engineering Applications of Artificial Intelligence, vol. 26, no. 7, pp. 1772–1779, 2013.

W. Lhomme, T. Letrouve, L. Boulon, S. Jemei, A. Bouscayrol, F. Chauvet, and F. Tournez, “Ieee vts motor vehicles challenge 2019-energy management of a dual mode locomotive,” in 2018 IEEE Vehicle Power and Propulsion Conference (VPPC). IEEE, 2018, pp. 1–6.

A. Lahyani, P. Venet, A. Guermazi, and A. Troudi, “Bat- tery/supercapacitors combination in uninterruptible power supply (ups),” IEEE transactions on power electronics, vol. 28, no. 4, pp. 1509–1522, 2012.

L. Zubieta and R. Bonert, “Characterization of double-layer ca- pacitors for power electronics applications,” IEEE Transactions on industry applications, vol. 36, no. 1, pp. 199–205, 2000.

J. Solano, D. Hissel, and M.-C. Pera, “Modeling and parameter identification of ultracapacitors for hybrid electrical vehicles,” in 2013 IEEE Vehicle Power and Propulsion Conference (VPPC). IEEE, 2013, pp. 1–4.

J. Tian, R. Xiong, and Q. Yu, “Fractional-order model-based in- cremental capacity analysis for degradation state recognition of lithium-ion batteries,” IEEE Transactions on Industrial Electro- nics, vol. 66, no. 2, pp. 1576–1584, 2018.

L. Martinez, J. Rosales, C. Carreño, and J. Lozano, “Electrical circuits described by fractional conformable derivative,” Interna- tional Journal of Circuit Theory and Applications, vol. 46, no. 5, pp. 1091–1100, 2018.

V. Morales-Delgado, J. Gómez-Aguilar, and M. Taneco- Hernandez, “Analytical solutions of electrical circuits described by fractional conformable derivatives in liouville-caputo sense,” AEU-International Journal of Electronics and Communications, vol. 85, pp. 108–117, 2018.

E. C. de Oliveira and J. A. T. Machado, “A review of definitions for fractional derivatives and integral,” Mathematical Problems in Engineering, vol. 2014, pp. 1–6, 2014.

G. S. Teodoro, J. T. Machado, and E. C. de Oliveira, “A review of definitions of fractional derivatives and other operators,” Journal of Computational Physics, vol. 388, pp. 195– 208, 2019. [Online]. Available: http://www.sciencedirect.com/ science/article/pii/S0021999119301913

M. Caputo and M. Fabrizio, “A new definition of fractional deri- vative without singular kernel,” Progr. Fract. Differ. Appl, vol. 1, no. 2, pp. 1–13, 2015.

R. Khalil, M. Al Horani, A. Yousef, and M. Sababheh, “A new definition of fractional derivative,” Journal of Computational and Applied Mathematics, vol. 264, pp. 65–70, 2014.

A. Pandolfo and A. Hollenkamp, “Carbon properties and their ro- le in supercapacitors,” Journal of power sources, vol. 157, no. 1, pp. 11–27, 2006.
Cómo citar
Mendoza, D. S., Solano, J., & Correa, R. (2020). Modelo de operador fraccional para describir la dinámica de los supercondensadores. Respuestas, 25(1). https://doi.org/10.22463/0122820X.2409

Descargas

La descarga de datos todavía no está disponible.
Publicado
2020-01-01
Sección
Artículos de Investigación