Identification of linear time invariant diffusion phenomena

Author

Pintelon, Rik

Author_Institution

Vrije Univ., Brussels, Belgium

Volume

47

Issue

5

fYear

1998

fDate

10/1/1998 12:00:00 AM

Firstpage

1053

Lastpage

1055

Abstract

Linear time invariant diffusion phenomena are described by linear parabolic partial differential equations with constant coefficients. The corresponding nonrational transfer functions in the Laplace variable s have an infinite number of poles. In this paper it is shown that these infinite dimensional systems can be very well approximated in a given frequency band by a rational form in √s. Potential applications are the modeling of mass or heat transfer phenomena. The theory is illustrated on the modeling of the ac impedance of two electrochemical processes: the reduction of iron and a traction battery

Keywords

diffusion; identification; linear differential equations; multidimensional systems; parabolic equations; partial differential equations; transfer functions; AC impedance; Fe; Laplace variable; corrosion; electrochemical process; heat transfer; identification; infinite dimensional system; iron reduction; linear parabolic partial differential equation; linear time invariant diffusion; mass transfer; traction battery; transfer function model; Batteries; Corrosion; Electrochemical processes; Frequency; Heat transfer; Impedance; Maximum likelihood estimation; Noise measurement; Partial differential equations; Transfer functions;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/19.746555

Filename

746555