From 8c1c98e578653da122eae391ce7db633a90b2b60 Mon Sep 17 00:00:00 2001 From: Robin Clark Date: Thu, 14 Apr 2011 14:52:40 +0100 Subject: [PATCH] ok nearly drawn a derived component for the potdiv --- noninvopamp/fg1.dia | Bin 0 -> 1106 bytes noninvopamp/fg1.jpg | Bin 0 -> 13153 bytes noninvopamp/fg1a.dia | Bin 0 -> 1366 bytes noninvopamp/fg1a.jpg | Bin 0 -> 14341 bytes noninvopamp/fg1b.dia | Bin 0 -> 1667 bytes noninvopamp/fg1b.jpg | Bin 0 -> 17617 bytes noninvopamp/noninv.dia | Bin 0 -> 1537 bytes noninvopamp/noninv.jpg | Bin 0 -> 5876 bytes noninvopamp/noninvopamp.tex | 90 +++++++++++++++++++++++++++++++++++- noninvopamp/opamp.dia | Bin 0 -> 1018 bytes noninvopamp/paper.tex | 2 +- 11 files changed, 90 insertions(+), 2 deletions(-) create mode 100644 noninvopamp/fg1.dia create mode 100644 noninvopamp/fg1.jpg create mode 100644 noninvopamp/fg1a.dia create mode 100644 noninvopamp/fg1a.jpg create mode 100644 noninvopamp/fg1b.dia create mode 100644 noninvopamp/fg1b.jpg create mode 100644 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\caption{Standard non inverting amplifier configuration} + \label{fig:noninvamp} +\end{figure} + + + +The functional of the resistors in this amplifier is to set the gain. +They operate as a potential divider and program the minus input on the op-amp +to balance them against the positive input, giving the voltage gain ($G_v$) +defined by $$ G_v = 1 + \frac{R2}{R1} $$ at the output. + +As the resistors work to provide a specific function, that of a potential divider, +we can treat them as a functional group. +Using the EN298 specification for resistor failure ~\cite{en298}[App.A] +we can assign failure modes of $OPEN$ and $SHORT$ to the resistors. +Thus $R1$ has failure modes $\{R1\_OPEN, R1\_SHORT\}$ and $R2$ has failure modes $\{R2\_OPEN, R2\_SHORT\}$. + +Modelling this as a functional group, we can draw a circle to represent each failure mode +in the potential divider, shown in figure \ref{fig:fg1}. + + +\begin{figure}[h] + \centering + \includegraphics[width=200pt,keepaspectratio=true]{./noninvopamp/fg1.jpg} + % fg1.jpg: 430x271 pixel, 72dpi, 15.17x9.56 cm, bb=0 0 430 271 + \caption{potential divider `functional group' failure modes} + \label{fig:fg1} +\end{figure} + +We can now look at each of these base component failure modes, +and determine how they will affect the operation of the potential divider. +Each failure mode scenario we look at will be given a teat case number, +which is represented on the diagram, with an asterisk marking +which failure modes is is modelling (see figure \ref{fig:fg1a}). + +\begin{figure}[h] + \centering + \includegraphics[width=200pt,keepaspectratio=true]{./noninvopamp/fg1a.jpg} + % fg1a.jpg: 430x271 pixel, 72dpi, 15.17x9.56 cm, bb=0 0 430 271 + \caption{potential divider with test cases} + \label{fig:fg1a} +\end{figure} + + +\begin{table}[ht] +\caption{Potential Divider: Failure Mode Effects Analysis: Single Faults} % title of Table +\centering % used for centering table +\begin{tabular}{||l|c|c|l|l||} +\hline \hline + \textbf{Test} & \textbf{Pot.Div} & \textbf{ } & \textbf{General} \\ + \textbf{Case} & \textbf{Effect} & \textbf{ } & \textbf{Symtom Description} \\ +% R & wire & res + & res - & description +\hline +\hline + TC1: $R_1$ SHORT & LOW & & Low PD \\ + TC2: $R_1$ OPEN & HIGH & & High PD \\ \hline + TC3: $R_2$ SHORT & HIGH & & High PD \\ + TC4: $R_2$ OPEN & LOW & & Low PD \\ \hline +\hline +\end{tabular} +\label{pdfmea} +\end{table} + + +We can now collect the symptoms of failure. From the four base component failure modes, we now +have two symptoms, $LOW\;PD, HIGH\;PD$. + +We can represent the collection of these symptoms by drawing connecting lines between +the test cases and naming them (see figure \ref{fig:fg1b}). + + +\begin{figure}[h] + \centering + \includegraphics[width=200pt,keepaspectratio=true]{./noninvopamp/fg1b.jpg} + % fg1b.jpg: 430x271 pixel, 72dpi, 15.17x9.56 cm, bb=0 0 430 271 + \caption{Collection of potential divider failure mode symptoms} + \label{fig:fg1b} +\end{figure} + + \vspace{60pt} $$ \int_{0\-}^{\infty} f(t).e^{-s.t}.dt \; | \; s \in \mathcal{C}$$ \today diff --git a/noninvopamp/opamp.dia b/noninvopamp/opamp.dia new file mode 100644 index 0000000000000000000000000000000000000000..fbccd59e79734c52d7701c35ce42aef4304ef384 GIT binary patch literal 1018 zcmVednV0Z)*%XfYIDJJK`1=GSM)57J`!tvrROLLi1 zF58ennkI~j3RUJCb~#QF(nL}0m|Fw9xaU%)uh@T2lj0Nys^#ZwJ2!LVoJYqK_dudY z%L9+(>hAH4!c}SCy^;1UFL;o!F6+6Fqp9DGqrSO2W%Yh}d>|VtZN0}sgqg>@^N)vk z!y{I_LbF4e9!;xSZ2nr*n{uZHrdnzo)+IzjcPy{fe|b5kje3LYieu1F^6k^zUQD!j zb`XIy_?v~YcK=UFMMU$+xG{d`Lg{&KOH@o6Ob+|_bLh#?%Y$KZ&LiDP3G7DNzsCZP(#zQ%(P;gT%aB{K|M1Z_A8TaNhL zLoH?9`{0Z-PF=w&*@mRi$z<_e0(D{&0&g)OmgTFxfS%<~R94!Kc1mf6!1uurI0i#} z0B3K1?D)X(W*#8kZMg*qSl%SGXnEJo9P~a2;f_QIPwxBDe1?3}s`m0{m15khU(NvvBhm#$0%B-Qm_)i$}l|9Nm zhS)Vj&=?FMy4<57o!E)|Al12Ise{F~)JF;HTSFQispHbZZT>B8N%ak^%8_V8vN1pX zrDuG4)b{=%Rw`sSp8mzSr)!?2L-p`)EZH*2LwZR1OYB%N9V z*&7f6Y}o{>%e7Urh+RA!xyjB`8G0Go;cTWsn!^#kWeta;36I5^_3bfJwWLBk2di@m zbHPllG_IXIFGj%$E15q|C39y!fD;rlSNF%ryCnb<1&M6ue^tb8e(WOVT0U_hb|LaT oGFc64ar0*h`%X((wemb{u5QcG_44Xqw!OUi7ua#z4gVeh0M-}uqyPW_ literal 0 HcmV?d00001 diff --git a/noninvopamp/paper.tex b/noninvopamp/paper.tex index ebd4737..543e8d1 100644 --- a/noninvopamp/paper.tex +++ b/noninvopamp/paper.tex @@ -33,7 +33,7 @@ \author{R.P.Clark} \title{Two stage FMMD analysis of a non inverting op-amp} \maketitle -\input{noninvopamp} +\input{noninvopamp_paper} \bibliographystyle{plain} \bibliography{../vmgbibliography,../mybib}