diff options
author | Fahim | 2014-09-09 16:11:17 +0530 |
---|---|---|
committer | Fahim | 2014-09-09 16:11:17 +0530 |
commit | c632c1009c9e095135220c809d7c799841f160b3 (patch) | |
tree | 3be2def8313164c3bf32799714ba53a4a1326ed6 /OSCAD/LPCSim/report/simulationReport.tex | |
parent | e338c2a59389c22b8cca9a78d75e626ae779c405 (diff) | |
download | FreeEDA-c632c1009c9e095135220c809d7c799841f160b3.tar.gz FreeEDA-c632c1009c9e095135220c809d7c799841f160b3.tar.bz2 FreeEDA-c632c1009c9e095135220c809d7c799841f160b3.zip |
Subject: Changing all content and name of directory and file to FreeEDA
Description: The content of file,name of directory and file has been
changed in the below format.
1. Oscad to FreeEDA
2. OSCAD to FreeEDA
3. oscad to freeeda
Diffstat (limited to 'OSCAD/LPCSim/report/simulationReport.tex')
-rw-r--r-- | OSCAD/LPCSim/report/simulationReport.tex | 173 |
1 files changed, 0 insertions, 173 deletions
diff --git a/OSCAD/LPCSim/report/simulationReport.tex b/OSCAD/LPCSim/report/simulationReport.tex deleted file mode 100644 index 2e06242..0000000 --- a/OSCAD/LPCSim/report/simulationReport.tex +++ /dev/null @@ -1,173 +0,0 @@ -\documentclass[a4paper,10pt]{report} -\pagestyle{plain} -\usepackage{graphicx} -\usepackage{caption} -\usepackage{algorithmic} -% Title Page -\title{Half-Wave Rectifier} -\author{Generated by SMCSim} - -\begin{document} -\maketitle -\hrule\vspace{5mm} -\begin{center} {\bf Simulation of ckt/HWRectifierFilter.ckt} \end{center} -\hrule\vspace{5mm} - -{\bf Circuit Diagram:} \\ -\vspace{2mm} -\hrule\vspace{5mm} - -{\bf NetList:} \\ -{\it * Half-Wave Rectifier} \\ -V1 1 0 sine (5 50) \\ -D1 1 2 mymodel (1e-8 0.026) \\ -R1 2 0 10000 \\ -C1 2 0 10e-3 \\ -.tran 0 100 0.5 \\ -.plot v(1) v(2) \\ -.end -\vspace{2mm} -\hrule\vspace{5mm} - -{\bf System of Equations representing the electrical circuit:} -\vspace{2mm} -\begin{equation} - i_{V_1} + D_{1f}(v_1,v_2) = 0 -\end{equation} -\begin{equation} - (R_1)v_2 + (C_1)\frac{dv_2}{dt} + -D_{1f}(v_1,v_2) = 0 -\end{equation} -\begin{equation} - v_1 = V_1 -\end{equation} -\vspace{2mm} -$$ D_{nf}(v_a,v_b)=Is_n(1-e^{(v_a-v_b)/vt_n})$$ - where $Is_n$=reverse saturation current and $vt_n$=threshold voltage of diode $n$\\ -\hrule\vspace{5mm} - -{\bf Matrix form:}\\ -The system of equations $\mathbf{A}\mathbf{x}+\mathbf{D}_f(\mathbf{\widehat{x}})+\mathbf{C}(d\mathbf{x}/dt)=b$ (Symbolically)\\ -Where $\mathbf{A}$, $\mathbf{D}_f$ and $\mathbf{C}$ represent matrices corresponding to linear, - nonlinear and time dependent electrical elements respectively. - $\mathbf{b}$ represents the vector corresponding to sources. - -\begin{equation} -\mathbf{A}= -\left[ -\begin{array}{ccc} -0 &0 &1 \\ -0 &\widehat{R}_1 &0 \\ -1 &0 &0 -\end{array} -\right] -\end{equation} -\begin{equation} -\mathbf{b}= -\left[ -\begin{array}{c} -0 \\ -0 \\ -V_1 -\end{array} -\right] -\end{equation} -\begin{equation} -\mathbf{D}_f= -\left[ -\begin{array}{c} -D_{1f} \\ --D_{1f} \\ -0 -\end{array} -\right] -\end{equation} -\begin{equation} -\mathbf{C}= -\left[ -\begin{array}{ccc} -0 &0 &0 \\ -0 &C_1 &0 \\ -0 &0 &0 -\end{array} -\right] -\end{equation} -\begin{equation} -\mathbf{x}= -\left[ -\begin{array}{c} -v_1 \\ -v_2 \\ -i_{V_1} -\end{array} -\right] -\end{equation} -\begin{equation} -\mathbf{\widehat{x}}= -\left[ -\begin{array}{c} -(v_1,v_2) -\end{array} -\right] -\end{equation} -Note that the matrix contains $\widehat{R}$ entries (corresponding to resistors) whose values are equal to 1/$R$\\ -\hrule\vspace{2mm} -The number of equations are $3$ \\ -Unknowns: \\ - Node potentials: $2$ Current Variables: $1$ \\ -\hrule\vspace{5mm} - -{\bf Operating Point (DC) Analysis: } \\ -{\it All capacitors are open circuited and inductors are short circuited.} -\vspace{2mm} - -{\bf System of Equations representing the electrical circuit:} -\begin{equation} - i_{V_1} + D_{1f}(v_1,v_2) = 0 -\end{equation} -\begin{equation} - (R_1)v_2 + -D_{1f}(v_1,v_2) = 0 -\end{equation} -\begin{equation} - v_1 = V_1 -\end{equation} -\vspace{2mm} -$$ D_{nf}(v_a,v_b)=Is_n(1-e^{(v_a-v_b)/vt_n})$$ - where $Is_n$=reverse saturation current and $vt_n$=threshold voltage of diode $n$\\ -\hrule\vspace{5mm} - -{\bf Application of Newton-Raphson method: }\\ -\vspace{2mm} -{\it Nonliner models: }\\ -See linearized model for diode $D_1$ in diode\_D1.eps -\begin{figure}[h] -\centering -\includegraphics{diode_D1.eps} -\caption{linearization of diode $D_1$} -\end{figure} -\vspace{2mm} - -{\bf System of Equations representing the electrical circuit:}\\ -\begin{equation} - (R_{D_1})v_1 + (-R_{D_1})v_2 + i_{V_1} = -i_{D_1} -\end{equation} -\begin{equation} - (R_{D_1})v_1 + (R_{D_1}+R_1)v_2 = i_{D_1} -\end{equation} -\begin{equation} - v_1 = V_1 -\end{equation} -\hrule\vspace{5mm} - -{\bf Transient Analysis:} \\ -\hrule\vspace{5mm} - -{\bf Results:} \\ -\begin{figure}[h] -\centering -\includegraphics[scale=0.5]{output.eps} -\caption{plot} -\end{figure} - - -\end{document} - |