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 /spl radic/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.
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