Equivalent circuit of Warburg impedance

Transport properties and polarization phenomena in intercalated Ag x HfSe2 compounds

“…Such processes are characteristic of the materials which manifest dielectric properties, including ionic conductors, and, as was mentioned in [22,23], they can be associated with the polarization and the formation of a bulk charge near blocking elec trodes.…”

On the efficient simulation of electrical circuits with constant phase elements: The Warburg element as a test case

“…8 There, an algorithm is given for designing RC circuits so that the impedance of the RC circuit is same as the impedance of the CPE element one wishes to simulate. 8 There, an algorithm is given for designing RC circuits so that the impedance of the RC circuit is same as the impedance of the CPE element one wishes to simulate.…”

“…8 There, an algorithm is given for designing RC circuits so that the impedance of the RC circuit is same as the impedance of the CPE element one wishes to simulate. 8 The 3-RC element approximation behaves as the Warburg element at low frequencies. The resistance and the capacitance values of the circuit were optimized using the original recipe from Sekushin.…”

“…Calculating numerically the convolution integral is reasonable for short time intervals. [8][9][10][11] These are linear circuits and are easier to simulate. Problems arise regarding the memory usage and the computation time because the time instances of the current I(t) have to be stored for a long time interval [0, t].…”

Power prediction from a battery state estimator that incorporates diffusion resistance

“…However, it is not straightforward to incorporate Warburg impedance in an equivalent circuit model analytically because it is frequency-dependent and therefore a nonlinear device. The Warburg impedance can also be approximated with many pairs of parallel RC circuits [26]. Therefore two or three RC-circuit models have been studied, in which one RC combination is used to represent electron-transfer kinetics, and another one or two RC combinations approximate diffusion contributions.…”