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\begin{document}
\title{Symbolic Linear Circuit Analysis Program}
\maketitle
\section*{Root-locus study }
\newpage
\subsection*{.symbolic gain laplace}

\[\frac{\mathrm{V_{out}}}{\mathrm{V_{in}}}=\frac{248.1\, \mathrm{A_{DC}}\, \mathrm{p_{1}}\, \mathrm{p_{2}}\, \mathrm{z_{1}}}{6.283\, \mathrm{z_{1}}\, \left(s - 6.283\, \mathrm{p_{1}}\right)\, \left(s - 6.283\, \mathrm{p_{2}}\right) - 39.48\, \mathrm{A_{DC}}\, \mathrm{K_{DC}}\, \mathrm{p_{1}}\, \mathrm{p_{2}}\, \left(s - 6.283\, \mathrm{z_{1}}\right)} \] 

\newpage
\subsection*{.numeric gain laplace}

\[\frac{\mathrm{V_{out}}}{\mathrm{V_{in}}}=\frac{9.999}{\left(7.081\cdot 10^{-8}\right)\, s + \left(2.533\cdot 10^{-15}\right)\, s^2 + 1.0} \] 

\newpage
\subsection*{.numeric gain pz}

\begin{center}
The zero-frequency value of GAIN = 9.999 [-].
\end{center}


\begin{center}
Poles of GAIN; units HZ. 
\end{center}


\begin{center}
\begin{tabular}
[c]{|r|r|r|r|r|}\hline
\textbf{Poles} & \textbf{Real part} & \textbf{Imaginary part} & \textbf{Magnitude} & \textbf{Q} \\\hline
$1$ & $-2.225\times 10^{6}$ & $ -2.248\times 10^{6}$ & $ 3.162\times 10^{6}$ & $ 0.7108 $\\
$2$ & $-2.225\times 10^{6}$ & $ 2.248\times 10^{6}$ & $ 3.162\times 10^{6}$ & $ 0.7108 $\\
\hline
\end{tabular}
\end{center}

\begin{center}
No zeros found!
\end{center}
\newpage
\subsection*{.plot gain pz .step A\_DC lin 0 100k 200 .range -10M 0 -5M 5M}
\begin{figure}[htb]
\centering
\includegraphics{slicap-gain-pz-_step-A_DC-lin-0-100k-200-_range--10M-0--5M-5M.png}
\caption{slicap-gain-pz-\_step-A\_DC-lin-0-100k-200-\_range--10M-0--5M-5M.png}
\end{figure}
\newpage
\subsection*{.plot gain pz .step z\_1 lin -10M -2.9M 50 .range -10M 0 -5M 5M}
\begin{figure}[htb]
\centering
\includegraphics{slicap-gain-pz-_step-z_1-lin--10M--2_9M-50-_range--10M-0--5M-5M.png}
\caption{slicap-gain-pz-\_step-z\_1-lin--10M--2\_9M-50-\_range--10M-0--5M-5M.png}
\end{figure}
\newpage
\subsection*{.symbolic loopgain laplace}

\[\frac{\mathrm{V_{l_{out}}}}{\mathrm{V_{E_{fw}}}}=\frac{6.283\, \mathrm{A_{DC}}\, \mathrm{K_{DC}}\, \mathrm{p_{1}}\, \mathrm{p_{2}}\, \left(s - 6.283\, \mathrm{z_{1}}\right)}{\mathrm{z_{1}}\, \left(s - 6.283\, \mathrm{p_{1}}\right)\, \left(s - 6.283\, \mathrm{p_{2}}\right)} \] 

\newpage
\subsection*{.numeric loopgain laplace}

\[\frac{\mathrm{V_{l_{out}}}}{\mathrm{V_{E_{fw}}}}=-\frac{0.0005488\, s + 10000.0}{0.0001593\, s + \left(2.533\cdot 10^{-11}\right)\, s^2 + 1.0} \] 

\newpage
\subsection*{.numeric loopgain pz}

\begin{center}
The zero-frequency value of LOOPGAIN = -1.0e4.
\end{center}


\begin{center}
Poles of LOOPGAIN; units HZ. 
\end{center}


\begin{center}
\begin{tabular}
[c]{|r|r|r|r|r|}\hline
\textbf{Poles} & \textbf{Real part} & \textbf{Imaginary part} & \textbf{Magnitude} & \textbf{Q} \\\hline
$1$ & $-1.0\times 10^{3}$ & $ 0$ & $ 1.0\times 10^{3}$ & $ - $\\
$2$ & $-1.0\times 10^{6}$ & $ 0$ & $ 1.0\times 10^{6}$ & $ - $\\
\hline
\end{tabular}
\end{center}


\begin{center}
Zeros of LOOPGAIN; units HZ. 
\end{center}


\begin{center}
\begin{tabular}
[c]{|r|r|r|r|r|}\hline
\textbf{Zeros} & \textbf{Real part} & \textbf{Imaginary part} & \textbf{Magnitude} & \textbf{Q} \\\hline
$1$ & $-2.9\times 10^{6}$ & $ 0$ & $ 2.9\times 10^{6}$ & $ - $\\
\hline
\end{tabular}
\end{center}

\newpage
\subsection*{.plot loopgain polar .f 2M 20M .step z\_1 lin -5M -2M 4}
\begin{figure}[htb]
\centering
\includegraphics{slicap-loopgain-polar-_f-2M-20M-_step-z_1-lin--5M--2M-4.png}
\caption{slicap-loopgain-polar-\_f-2M-20M-\_step-z\_1-lin--5M--2M-4.png}
\end{figure}
\newpage
\subsection*{.plot loopgain db .f 10 10M .step z\_1 lin -5M -2M 4}
\begin{figure}[htb]
\centering
\includegraphics{slicap-loopgain-db-_f-10-10M-_step-z_1-lin--5M--2M-4.png}
\caption{slicap-loopgain-db-\_f-10-10M-\_step-z\_1-lin--5M--2M-4.png}
\end{figure}
\newpage
\subsection*{.plot loopgain phase .f 10 10M .step z\_1 lin -5M -2M 4}
\begin{figure}[htb]
\centering
\includegraphics{slicap-loopgain-phase-_f-10-10M-_step-z_1-lin--5M--2M-4.png}
\caption{slicap-loopgain-phase-\_f-10-10M-\_step-z\_1-lin--5M--2M-4.png}
\end{figure}
\subsection*{About}

\begin{footnotesize}

 \LaTeX \hspace{1pt} generated by SLiCAP (Symbolic Linear Circuit Analysis Program): a MuPAD application. SLiCAP \copyright 2008-2009, Montagne Design \& Consultancy, Delft, The Netherlands. MuPAD Pro 4.0.6. 'The Open Computer Algebra System' \copyright 1997-2008, is a product of SciFace Software. \today, total SLiCAP  version 3.1 processing time: 13.5 seconds (limit=600 seconds).\end{footnotesize} 
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