Comment on “Origin of the Curie–von Schweidler law and the fractional capacitor from time-varying capacitance” [J. Pow. Sources 532 (2022) 231309]

Response to “Comment on ‘Origin of the Curie–von Schweidler law and the fractional capacitor from time-varying capacitance [J. Power Sources 532 (2022) 231309]’ ”

“…3. Allagui et al claim [5] that the question that we raised about the dimensional consistency of their equations in Ref. [7] is not correct.…”

“…In their Comment on our paper, Allagui et al [5] have raised certain concerns with the use of the convolution integral of linear time-varying capacitance with the time-derivative of voltage. In this Response, for the sake of clarity, completeness, and correctness, we prove that each of their observations and the inferences that they have drawn from them are quite questionable and therefore not valid.…”

“…1. According to Allagui et al capacitances being added in parallel is a frequency domain assertion, and that they cannot be added in the time domain [5]. Moreover, they have the opinion that circuit synthesis is not done in the time domain.…”

“…Next, Allagui et al claim that our proposed convolution relation, i.e., Eq. ( 1), generates a constant current and hence a zero charge if the input is a step voltage [5].…”

A New Look at the Capacitor Theory

“…This is the recent case concerning the problem of charge storage in capacitors, mainly the fractional ones that follow the Curie-von Schweidler law [1,2]. Two new recently proposed modelling formulae have been subject of some discussion [3][4][5][6][7]. Of course, the two perspectives are clearly different and irreconcilable.…”