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Título del libro: Asme 2012 5th Annual Dynamic Systems And Control Conference Joint With The Jsme 2012 11th Motion And Vibration Conference, Dscc 2012-Movic 2012
Título del capítulo: Order reduction and analysis of a simplified electrochemical model for electric double-layer capacitors

Autores UNAM:
ALDO CHRISTIAN ROMERO BECERRIL; LUIS AGUSTIN ALVAREZ ICAZA LONGORIA;
Autores externos:

Idioma:
Inglés
Año de publicación:
2012
Palabras clave:

Controllability and observabilities; Differential quadrature; Discretization method; Electric double layer capacitor; Electrochemical modeling; Linear and time invariants; Reduced order models; Time and frequency domains; Discrete event simulation; Internal combustion engines; Model predictive control; Predictive control systems; Capacitors


Resumen:

A simplified electrochemical model of infinite order for electric double-layer capacitors is approximated through spatial semidiscretization. A family of reduced order models which are linear and time invariant, easy to analyze and implement, have few parameters and physical meaning is obtained. Three typical discretization methods are compared in time and frequency domains: finite difference, finite element and differential quadrature. In addition, two criteria to select the order of approximations are explored, one based on bandwidth and one on residue analysis. Differential quadrature based on polynomials proves to be the most accurate approximation, whereas the residue analysis criterion leads to lower order models. Finally, sufficient conditions to assure controllability and observability of the resulting lumped models are stated with the assumption of certain symmetry properties on the discretization matrices. Copyright © 2012 by ASME.


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