Transmission line equivalent circuit models for electrochemical impedances

Abstract The small-signal impedance-frequency response of electrochemical systems obeying the Nernst-Planck and Poisson equations is modelled with fixed-component transmission line equivalent circuits. The transmission lines can be terminated to allow for either Chang-Jaffe or Butler-Volmer boundary conditions. A general matrix method is presented for calculating impedance-frequency responses, with and without the effects of compact double-layer capacitance. The basic transmission line concept is extended to multi-ion systems and to supported electrolyte cases.

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