Simple Model

Transmission line Model

Parallel Model

Extended Parallel Model

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 %Modeling of Supercapacitors (UltraCapacitors)
% Author: Amir Ostadrahimi
% for more information see: https://doi.org/10.1109/ACCESS.2023.3250965 --> ( New Parameter Identification Method for Supercapacitor Model )
\documentclass[border=3pt, tikz]{standalone}
\usepackage[american,cuteinductors,smartlabels]{circuitikz}
\ctikzset{bipoles/thickness=1.2}
\ctikzset{bipoles/length=1.5cm}
\tikzstyle{every node}=[font=\large]
\tikzstyle{every path}=[line width=1 .1pt,line cap=round,line join=round]
\begin{document}    
  \begin{tikzpicture}
%Simple models of SCs
 %First Model (left)
    \coordinate (SC0) at (0,0) ;
    \draw (SC0) to [short,o-]++(0.4,0) to [R, l=$ESR$]++(1.9,0) to [C, l_=$C$]++(1.9,0) to [short,-o] ++(0.4,0);
%Second Model (right)
    \coordinate (SC1) at (6,0) ;
    \draw (SC1) to [short,o-]++(0.4,0) to [R, l=$ESR$]++(1.9,0) coordinate (E2)
    to [short] ++(0,1) to [R, l=$EPR$] ++(1.8,0) to [short] ++(0,-1) coordinate (C2) to [vC, invert,mirror, l=$C$](E2);% using "mirror" and "invert" one can change the direction of the arrow.
    \draw (C2) to [short, -o]++(0.8,0);
  \end{tikzpicture}
%
  \begin{tikzpicture}
%Transmission line Model
    \newcommand\gap{0.2} %short gap between elements
    \newcommand\Rlength{2.1} %length of resistors
    \newcommand\Clength{2.9} %length of Capacitors
    \coordinate (SC0) at (0,0) ;
    \draw (SC0) to [short,o-]++(\gap,0) to [R, l=$R_{1}$]++(\Rlength,0) to [short]++(\gap,0) coordinate (C1T); %% C1T is the point from which capacitor1 will be
    \draw (C1T) to [short]++(\gap,0) to [R, l=$R_{2}$]++(\Rlength,0) to[short]++(\gap,0) coordinate (C2T); %% C2T is the point from which capacitor1 will be
    \draw (C2T) --++(0.5,0) coordinate (dashedT1); %% dashed line in the top part of the circuit
    \draw [dashed] (dashedT1) --++ (1,0) coordinate (dashedT2); %% where dashed finishes in the top
    \draw (dashedT2) to [R, l=$R_{n-1}$]++(\Rlength,0) to [short]++(\gap,0) coordinate (CN1T) to[short]++(\gap,0) to [R, l=$R_{n}$]++(\Rlength,0) to [short]++(\gap,0) to [C, l=$C_{n}$]++(0,-\Clength) coordinate (CnB); %% CnB is the bottom of Cn
    %CAPACITORS
    \draw (C1T) to [C, l=$C_{1}$]++(0,-\Clength) coordinate (C1B); %% C1B is the bottom of C1
    \draw (C2T) to [C, l=$C_{2}$]++(0,-\Clength) coordinate (C2B); %% C2B is the bottom of C2
    \draw (CN1T) to [C, l=$C_{n-1}$]++(0,-\Clength) coordinate (CN1B); %% CN1B is the bottom of CN1
    \draw (SC0) to [open,] ++(0,-\Clength) coordinate (SC0B) ; %% SC0B is the bottoom part of the input
    % Lines
 
 
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