diff --git a/Schaltungstechnik.tex b/Schaltungstechnik.tex index 7fee63a..e5df514 100644 --- a/Schaltungstechnik.tex +++ b/Schaltungstechnik.tex @@ -3,6 +3,7 @@ \usepackage[european]{circuitikz} \usepackage{multirow} +\usepackage{kbordermatrix} @@ -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)} diff --git a/img/nodevoltageanalysis/conductance_a_b.png b/img/nodevoltageanalysis/conductance_a_b.png new file mode 100644 index 0000000..411a4c4 Binary files /dev/null and b/img/nodevoltageanalysis/conductance_a_b.png differ diff --git a/img/nodevoltageanalysis/conductance_a_gnd.png b/img/nodevoltageanalysis/conductance_a_gnd.png new file mode 100644 index 0000000..3064e5d Binary files /dev/null and b/img/nodevoltageanalysis/conductance_a_gnd.png differ diff --git a/img/nodevoltageanalysis/gyrator_a_b_y_d.png b/img/nodevoltageanalysis/gyrator_a_b_y_d.png new file mode 100644 index 0000000..03a93bc Binary files /dev/null and b/img/nodevoltageanalysis/gyrator_a_b_y_d.png differ diff --git a/img/nodevoltageanalysis/gyrator_a_b_y_gnd.png b/img/nodevoltageanalysis/gyrator_a_b_y_gnd.png new file mode 100644 index 0000000..a38c106 Binary files /dev/null and b/img/nodevoltageanalysis/gyrator_a_b_y_gnd.png differ diff --git a/img/nodevoltageanalysis/gyrator_a_y_d_gnd.png b/img/nodevoltageanalysis/gyrator_a_y_d_gnd.png new file mode 100644 index 0000000..0409dae Binary files /dev/null and b/img/nodevoltageanalysis/gyrator_a_y_d_gnd.png differ diff --git a/img/nodevoltageanalysis/gyrator_a_y_gnd_gnd.png b/img/nodevoltageanalysis/gyrator_a_y_gnd_gnd.png new file mode 100644 index 0000000..b1feb69 Binary files /dev/null and b/img/nodevoltageanalysis/gyrator_a_y_gnd_gnd.png differ diff --git a/img/nodevoltageanalysis/vccs_a_b_y_d.png b/img/nodevoltageanalysis/vccs_a_b_y_d.png new file mode 100644 index 0000000..ab20bec Binary files /dev/null and b/img/nodevoltageanalysis/vccs_a_b_y_d.png differ diff --git a/img/nodevoltageanalysis/vccs_a_b_y_gnd.png b/img/nodevoltageanalysis/vccs_a_b_y_gnd.png new file mode 100644 index 0000000..2623e7e Binary files /dev/null and b/img/nodevoltageanalysis/vccs_a_b_y_gnd.png differ diff --git a/img/nodevoltageanalysis/vccs_a_y_d_gnd.png b/img/nodevoltageanalysis/vccs_a_y_d_gnd.png new file mode 100644 index 0000000..41a7f55 Binary files /dev/null and b/img/nodevoltageanalysis/vccs_a_y_d_gnd.png differ diff --git a/img/nodevoltageanalysis/vccs_a_y_gnd.png b/img/nodevoltageanalysis/vccs_a_y_gnd.png new file mode 100644 index 0000000..661c8d7 Binary files /dev/null and b/img/nodevoltageanalysis/vccs_a_y_gnd.png differ