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feat: add note voltage analysis
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Paul Thiel committed Feb 9, 2019
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84 changes: 82 additions & 2 deletions Schaltungstechnik.tex
Original file line number Diff line number Diff line change
Expand Up @@ -3,6 +3,7 @@
\usepackage[european]{circuitikz}

\usepackage{multirow}
\usepackage{kbordermatrix}



Expand Down Expand Up @@ -419,10 +420,89 @@ \section{Allgemeine Analyseverfahren}

\end{enumerate}
Spezialfall: Nullator/Norator mit Masse verbunden: Spalte/Zeile streichen

\subsubsection{Aufstellen der Knotenleitwertsmatrix}
TODO
\tiny
\begin{tabular}{ll}
$\ma {Y_k} = \kbordermatrix{ & \alpha & & \beta & & \gamma\\
\alpha & & & & \ldots & G_d\\
& & & & & \vdots\\
\beta & & & & \ldots & -G_d\\
& \vdots & & \vdots && \vdots\\
\gamma & -G_d & \ldots & G_d & \ldots\\}$ & \parbox{3cm}{\includegraphics[scale=0.15]{./img/nodevoltageanalysis/gyrator_a_b_y_gnd.png} }\\
$\ma {Y_k} = \kbordermatrix{ & \alpha & & \gamma & & \delta\\
\alpha & & \ldots & G_d & \ldots & -G_d\\
& \vdots && \vdots && \vdots\\
\gamma & -G_d & \ldots\\
& \vdots\\
\delta & G_d & \ldots \\}$ & \parbox{3cm}{\includegraphics[scale=0.15]{./img/nodevoltageanalysis/gyrator_a_y_d_gnd.png} }\\
$\ma {Y_k} = \kbordermatrix{ & \alpha & & \gamma\\
\alpha & & \ldots & G_d\\
& \vdots && \vdots\\
\gamma & -G_d & \ldots\\}$ & \parbox{3cm}{\includegraphics[scale=0.15]{./img/nodevoltageanalysis/gyrator_a_y_gnd_gnd.png} }\\
\end{tabular}
$\ma {Y_k} = \kbordermatrix{ & \alpha & & \beta & & \gamma & & \delta\\
\alpha & & & & \ldots & G_d & \ldots & -G_d\\
& & & & & \vdots & & \vdots\\
\beta & & & & \ldots & -G_d & \ldots & G_d\\
& \vdots & & \vdots && \vdots && \vdots\\
\gamma & -G_d & \ldots & G_d & \ldots\\
& \vdots & & \vdots\\
\delta & G_d & \ldots & -G_d & \ldots \\}$ \\
\begin{center}
\includegraphics[scale=0.15]{./img/nodevoltageanalysis/gyrator_a_b_y_d.png}
\end{center}\ \\
\hrule
\begin{tabular}{ll}
$\ma {Y_k} = $
$\kbordermatrix{ & & \alpha & & \beta & \\
& & \vdots & & \vdots & \\
\alpha & \ldots & G & \ldots & -G & \ldots \\
& & \vdots & & \vdots & \\
\beta & \ldots & -G & \ldots & G & \ldots \\
& & \vdots & & \vdots & \\}$ & \parbox{3cm}{\includegraphics[scale=0.15]{./img/nodevoltageanalysis/conductance_a_b.png} } \\

$\ma {Y_k}$ =
$\kbordermatrix{ & & \alpha & \\
& & \vdots & \\
\alpha & \ldots & G & \ldots \\
& & \vdots & \\}$ & \parbox{3cm}{\includegraphics[scale=0.15]{./img/nodevoltageanalysis/conductance_a_gnd.png} }\\
\end{tabular}
$\ma {Y_k}$ =
$\kbordermatrix{ & \gamma & & \delta \\
& \vdots & & \vdots & \\
\alpha & g_m & \ldots & -g_m \\
& \vdots & & \vdots \\
\beta & -g_m & \ldots & g_m \\
& \vdots & & \vdots & \\}$ \parbox{3cm}{\includegraphics[scale=0.15]{./img/nodevoltageanalysis/vccs_a_b_y_d.png} }\\

\begin{tabular}{ll}
$\ma {Y_k}$ =
$\kbordermatrix{ & \gamma & \\
& \vdots & \\
\alpha & g_m & \ldots \\
& \vdots & \\
& \vdots & \\
\beta & -g_m & \ldots \\
& \vdots & \\}$ & \parbox{3cm}{\includegraphics[scale=0.15]{./img/nodevoltageanalysis/vccs_a_b_y_gnd.png} }\\

$\ma {Y_k}$ =
$\kbordermatrix{ & \gamma & & \delta & \\
& \vdots & & \vdots & \\
\alpha & g_m & \ldots & -g_m & \ldots \\
& \vdots & & \vdots & \\}$ & \parbox{3cm}{\includegraphics[scale=0.15]{./img/nodevoltageanalysis/vccs_a_y_d_gnd.png} }\\

$\ma {Y_k}$ =
$\kbordermatrix{ & \gamma & \\
& \vdots & \\
\alpha & g_m & \ldots \\
& \vdots & \\}$ & \parbox{3cm}{\includegraphics[scale=0.15]{./img/nodevoltageanalysis/vccs_a_y_gnd.png} }\\

\end{tabular}\\




\normalsize

% SECTION ====================================================================================
\section{Operationsverstärker (OpAmp)}
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