From 9f5354f5f3bd800f5e03edf92f7f4736dc264a13 Mon Sep 17 00:00:00 2001 From: Paul Thiel Date: Sat, 9 Feb 2019 02:20:32 +0100 Subject: [PATCH] feat: add note voltage analysis --- Schaltungstechnik.tex | 84 +++++++++++++++++- img/nodevoltageanalysis/conductance_a_b.png | Bin 0 -> 32435 bytes img/nodevoltageanalysis/conductance_a_gnd.png | Bin 0 -> 22964 bytes img/nodevoltageanalysis/gyrator_a_b_y_d.png | Bin 0 -> 46375 bytes img/nodevoltageanalysis/gyrator_a_b_y_gnd.png | Bin 0 -> 42696 bytes img/nodevoltageanalysis/gyrator_a_y_d_gnd.png | Bin 0 -> 45552 bytes .../gyrator_a_y_gnd_gnd.png | Bin 0 -> 41483 bytes img/nodevoltageanalysis/vccs_a_b_y_d.png | Bin 0 -> 51968 bytes img/nodevoltageanalysis/vccs_a_b_y_gnd.png | Bin 0 -> 42994 bytes img/nodevoltageanalysis/vccs_a_y_d_gnd.png | Bin 0 -> 45706 bytes img/nodevoltageanalysis/vccs_a_y_gnd.png | Bin 0 -> 36760 bytes 11 files changed, 82 insertions(+), 2 deletions(-) create mode 100644 img/nodevoltageanalysis/conductance_a_b.png create mode 100644 img/nodevoltageanalysis/conductance_a_gnd.png create mode 100644 img/nodevoltageanalysis/gyrator_a_b_y_d.png create mode 100644 img/nodevoltageanalysis/gyrator_a_b_y_gnd.png create mode 100644 img/nodevoltageanalysis/gyrator_a_y_d_gnd.png create mode 100644 img/nodevoltageanalysis/gyrator_a_y_gnd_gnd.png create mode 100644 img/nodevoltageanalysis/vccs_a_b_y_d.png create mode 100644 img/nodevoltageanalysis/vccs_a_b_y_gnd.png create mode 100644 img/nodevoltageanalysis/vccs_a_y_d_gnd.png create mode 100644 img/nodevoltageanalysis/vccs_a_y_gnd.png 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 0000000000000000000000000000000000000000..411a4c44cfe7a84f26c6072ef79ce5cc5dba015f GIT binary patch literal 32435 zcmeEuWl&sQ6K0GAch>+(a0o7g1eYMeB}fPs+y{q1g2N!eHMra0?hNkku7kVp<$b^1 z+N!PEU;AgPzEmZtnz?iD>C@-*>3*K4Z{QbsNi<|)rrg5bFMR*ctVzWTk2B{X(ST8F{h0LJ1_k^x)74?_j?V4Jf3}mQM-c zEKt*5T5PPbS$Sc#SmQlcZMAZ-KiB1Dy%ux4mB?+i3ZE&TE;r{^E7tH1T%#ex`fhFz z^!1fA_B+(m>A=-af4vjjZi@h@X-3y{jps|1Io2#pMh3 zMEu#@EX1r=7lP(D?0UZKedluWJCK-8M8Yp=mu=|sY-cQ766aMb!LST?C{+m7PsIME z=94gXQ;UAds8LHSH}kDq#>AZ&aWBC%YVuv}#-0pTOGig2>`r(+4JU#e70qgmKH+X9Mpi)OpV9XPEP8nV*! zoDLU#-DA%`ilB02_U;_{xST51iXgx^5=KAoZTau27SPk3m?H?6Vx-0{=os8|;|M~ 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