From 1798a52306267eea1adf8edf2f9cc2a8fa17f567 Mon Sep 17 00:00:00 2001 From: Robin Clark Date: Wed, 16 Nov 2011 09:05:50 +0000 Subject: [PATCH 1/6] forgot to commit last nighe... --- opamp_circuits_C_GARRETT/Makefile | 2 +- .../blockdiagramcircuit2.dia | Bin 0 -> 1457 bytes opamp_circuits_C_GARRETT/circuit2002.png | Bin 178750 -> 192026 bytes opamp_circuits_C_GARRETT/circuit2h.dia | Bin 0 -> 3960 bytes opamp_circuits_C_GARRETT/opamps.tex | 211 +++++++++++++++--- 5 files changed, 186 insertions(+), 27 deletions(-) create mode 100644 opamp_circuits_C_GARRETT/blockdiagramcircuit2.dia create mode 100644 opamp_circuits_C_GARRETT/circuit2h.dia diff --git a/opamp_circuits_C_GARRETT/Makefile b/opamp_circuits_C_GARRETT/Makefile index 933e7ca..d75d01d 100644 --- a/opamp_circuits_C_GARRETT/Makefile +++ b/opamp_circuits_C_GARRETT/Makefile @@ -1,6 +1,6 @@ -PNG_DIA = circuit1_dag.png mvampcircuit.png pd.png invamp.png shared_component.png tree_abstraction_levels.png three_tree.png +PNG_DIA = 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z+HrU);7uZb;2(nW6fx?3PwSm+a@(VsDzfetb0_BJ@BK!aooqdF!lI>MWgec8Gmon_KderiR$ZjU6);i;;K$U6zR}T zA$8=K-$QdG8`^vYDmE-!}NRDwC#){M%sf*xSWxM9= zJ@iHbDp5+kks$O&A}v9^kv#SN^hRplZmm-fLT@D4pf?f?cICvWH`1;lw@rTN)=_Pa zX~m7H?pGt)L80Tg4g3vS3IcD#d3mvGqGuvCZL?Mmv Date: Wed, 16 Nov 2011 09:47:31 +0000 Subject: [PATCH 2/6] .. --- opamp_circuits_C_GARRETT/opamps.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/opamp_circuits_C_GARRETT/opamps.tex b/opamp_circuits_C_GARRETT/opamps.tex index 63f00ef..157fc31 100644 --- a/opamp_circuits_C_GARRETT/opamps.tex +++ b/opamp_circuits_C_GARRETT/opamps.tex @@ -250,7 +250,7 @@ We begin by identifying functional groups from the components in the circuit. \subsection{Functional Group: Potential Divider} -Here we can re-use the potential divider from section~\ref{potdivfmmd}. +For the gain setting resistors R1,R2 -- we can re-use the potential divider from section~\ref{potdivfmmd}. %R1 and R2 perform as a potential divider. %Resistors can fail OPEN and SHORT (according to GAS burner standard EN298 Appendix A). From d2c60a191593634d4331a69f018748877a454142 Mon Sep 17 00:00:00 2001 From: Robin Clark Date: Wed, 16 Nov 2011 11:02:08 +0000 Subject: [PATCH 3/6] idea on FMMD for an OPAMP compared to FMD-91 --- opamp_circuits_C_GARRETT/opamps.tex | 15 +++++++++++++++ 1 file changed, 15 insertions(+) diff --git a/opamp_circuits_C_GARRETT/opamps.tex b/opamp_circuits_C_GARRETT/opamps.tex index 157fc31..1a8106d 100644 --- a/opamp_circuits_C_GARRETT/opamps.tex +++ b/opamp_circuits_C_GARRETT/opamps.tex @@ -637,6 +637,10 @@ $\{ LP1, SKLP_1, SKLP_2 \}$. \caption{Circuit 3} \label{fig:circuit3} \end{figure} +\end{tabular} +\label{ampfmea} +\end{table} + \clearpage \section{Standard Non-inverting OP AMP} @@ -837,6 +841,17 @@ up the hierarchy. This is a natural process. When we have a complicated systems they always have a small number of system failure modes. + +\section{The Case for Derived Components} + +Idea stage on this section +\begin{itemize} + \item Look at OPAMP circuits + \item examine number of components and failure modes + \item outline a proposed FMMD analysis + \item Show FMD-91 OPAMP failure modes -- compare with FMMD +\end{itemize} + \clearpage \section{Side Effects: A Problem for FMMD analysis} A problem with modularising according to functionality is that we can have component failures that would From 3250be53e3ed85f919007aca40d454510bf26e80 Mon Sep 17 00:00:00 2001 From: Robin Clark Date: Wed, 16 Nov 2011 18:59:04 +0000 Subject: [PATCH 4/6] Wednesday evening finish five pole LP filter analysis --- .../circuit2002_FIVEPOLE.png | Bin 0 -> 201194 bytes opamp_circuits_C_GARRETT/circuit2002_LP1.png | Bin 0 -> 193010 bytes opamp_circuits_C_GARRETT/circuit2h.dia | Bin 3960 -> 3985 bytes opamp_circuits_C_GARRETT/opamps.tex | 189 ++++++++++++++---- 4 files changed, 145 insertions(+), 44 deletions(-) create mode 100644 opamp_circuits_C_GARRETT/circuit2002_FIVEPOLE.png create mode 100644 opamp_circuits_C_GARRETT/circuit2002_LP1.png diff --git a/opamp_circuits_C_GARRETT/circuit2002_FIVEPOLE.png b/opamp_circuits_C_GARRETT/circuit2002_FIVEPOLE.png new file mode 100644 index 0000000000000000000000000000000000000000..2577f174d4599c2660d19af58ecded64e499abf8 GIT binary patch literal 201194 zcmXt91ymI8+Xbnm8|iK-$px0~t_1{1X%M8lyBk)zTR;(!Zs`;e=~_yVS~|b^edqiS z?AgN{=AD^$p1k)yaoU~7z%y*+t7estB!J6_T{w&v)+&=a+7r)r<_r5KPA7=n{;kC^sh~K z{@R0?{0jN;iq!Ec+m(ddanf}rhtErePg$=7)(PBB+V+k%m)D_)HtVqtWq{N zW9Wt^zpsU-1j3nOk$yP}AxTpY#|lZ$2@bj?vd0%YP~r@PHXP0f;#!jTUk8y#BQLiQ zDiE41L^&^?Lhy4d`&yhMEkV-=i(FRDEUcw}JYzfjz$qv9v8A9&2iZA6c^y>xTNBd- zr3IqlEst$*q>T}1fWVSmcERgRGD}sVlP>hjHU0p>MQK3BbEYawYXdeCdzR|f;{acz zCHZGA?BuzahQn&;Sgcj-;Z=~iiFi+NuvWt%u=Ja3w1F7{h0r~}884a^jfDb}DjSMe ztKMrAq)_KPavby-LFXg<9^Q7ccC%>&0V;CsJZGTP#6#y_mXM-Gd?es$29$$YL5!#} 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another weakness of FMEDA identified --- survey/survey.tex | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/survey/survey.tex b/survey/survey.tex index 17ce770..e5e7ef5 100644 --- a/survey/survey.tex +++ b/survey/survey.tex @@ -657,7 +657,7 @@ safety, as it can miss unexpected effects due to `unexpected' component interact The Statistical Analysis methodology is the core philosophy of the Safety Integrity Levels (SIL) embodied in EN61508 \cite{en61508} -and its international analog standard IOC5108. +and its international analog is standard IOC5108. @@ -669,6 +669,7 @@ and its international analog standard IOC5108. \item No possibility to model base component level double failure modes. \item As with all failure mode methodologies based on FMEA, does not model component failure modes that may cause more than one type of SYSTEM failure. +\item Because FMEDA is based on one entry per component failure mode, top level symptoms are not grouped, and will be listed in a fragmented way, and may not have the same description. \end{itemize} %AND then how we can solve all there problems From 67186128a30c76d66b63055776d64ae4d8ee178b Mon Sep 17 00:00:00 2001 From: Robin Clark Date: Thu, 17 Nov 2011 18:05:36 +0000 Subject: [PATCH 6/6] OK sending circuit 2 to C Garrett --- opamp_circuits_C_GARRETT/opamps.tex | 69 +++++++++++++++++++--------- related_papers_books/3A.SILs.pdf | Bin 0 -> 305539 bytes 2 files changed, 47 insertions(+), 22 deletions(-) create mode 100644 related_papers_books/3A.SILs.pdf diff --git a/opamp_circuits_C_GARRETT/opamps.tex b/opamp_circuits_C_GARRETT/opamps.tex index 8514ca2..2db4357 100644 --- a/opamp_circuits_C_GARRETT/opamps.tex +++ b/opamp_circuits_C_GARRETT/opamps.tex @@ -70,11 +70,16 @@ We can express the failure modes of a component using the function $fm$, thus fo We have two resistors in this circuit and therefore four component failure modes to consider for the potential divider. -We can now examine what effect each of these failures will have on the {\fg}. +We can now examine what effect each of these failures will have on the {\fg} (see table~\ref{tbl:pd}). \subsection{Analysing a potential divider in terms of failure modes} + + \label{potdivfmmd} + + + \begin{figure}[h+] \centering \includegraphics[width=100pt,keepaspectratio=true]{./pd.png} @@ -85,6 +90,7 @@ We can now examine what effect each of these failures will have on the {\fg}. \begin{table}[h+] +\caption{Potential Divider: Sinlge failure analysis} \begin{tabular}{|| l | l | c | c | l ||} \hline \textbf{Failure Scenario} & & \textbf{Pot Div Effect} & & \textbf{Symptom} \\ \hline @@ -94,6 +100,7 @@ We can now examine what effect each of these failures will have on the {\fg}. FS4: R2 OPEN & & $LOW$ & & $PDLow$ \\ \hline \hline \end{tabular} +\label{tbl:pd} \end{table} We can now create a {\dc} for the potential divider, $PD$. @@ -152,9 +159,10 @@ Re-using the $PD$ - potential divider works only if the input voltage is negativ We want if possible to have detectable errors, HIGH and LOW are better than OUTOFRANGE. If we can refine the operational states of the fungional group, we can obtain clearer symptoms. -If we consider the input will only be positive, we can invert the potential divider. +If we consider the input will only be positive, we can invert the potential divider (see table~\ref{tbl:pdneg}). \begin{table}[h+] +\caption{Inverted Potential divider: Single failure analysis} \begin{tabular}{|| l | l | c | c | l ||} \hline \textbf{Failure Scenario} & & \textbf{Inverted Pot Div Effect} & & \textbf{Symptom} \\ \hline @@ -164,6 +172,7 @@ If we consider the input will only be positive, we can invert the potential divi FS4: R2 OPEN & & $HIGH$ & & $PDHigh$ \\ \hline \hline \end{tabular} +\label{tbl:pdneg} \end{table} We can form a {\dc} from this, and call it an inverted potential divider $INVPD$. @@ -181,7 +190,7 @@ lead to the symptoms (i.e. the symptoms are the same but causation tree will be We can use this for a more general case, because we can examine the effects on the circuit for each operational case (i.e. input +ve -or input -ve). Because symptom collection is defined as surjective (from component failure modes +or input -ve), see table~\ref{tbl:invamp}. Because symptom collection is defined as surjective (from component failure modes to symptoms) we cannot have a component failure mode that maps to two different symptoms (within a functional group). Note that here we have a more general symptom $ OUT OF RANGE $ which could mean either $HIGH$ or $LOW$ output. @@ -189,6 +198,7 @@ $HIGH$ or $LOW$ output. \begin{table}[h+] +\caption{Inverting Amplifier: Single failure analysis} \begin{tabular}{|| l | l | c | c | l ||} \hline \textbf{Failure Scenario} & & \textbf{Inverted Amp Effect} & & \textbf{Symptom} \\ \hline \hline @@ -213,23 +223,25 @@ $HIGH$ or $LOW$ output. FS4: AMP LowSlew & & $ slow output \frac{\delta V}{\delta t} $ & & $ LOW PASS $ \\ \hline \hline \end{tabular} +\label{tbl:invamp} \end{table} $$ fm(INVAMP) = \{ OUT OF RANGE, ZERO OUTPUT, NO GAIN, LOW PASS \} $$ -Much more general. OUT OF RANGE symptom maps to many component failure modes. -Observability problem... system. In fact can we get a metric of how observable -a system is using the ratio of component failure modes X op states to a symptom ???? -Could further refine this if MTTF stats available for each component failure. +%Much more general. OUT OF RANGE symptom maps to many component failure modes. +%Observability problem... system. In fact can we get a metric of how observable +%a system is using the ratio of component failure modes X op states to a symptom ???? +%Could further refine this if MTTF stats available for each component failure. \subsection{Comparison between the two approaches} If the input voltage can be negative the potential divider becomes reversed in polarity. -This means that detecting which failure mode has occurred from knowing the symptom, has become a more difficult task. +This means that detecting which failure mode has occurred from knowing the symptom, has become a more difficult task; or in other words +the observability of the causes of failure are reduced. \clearpage \section{Op-Amp circuit 1} @@ -474,8 +486,8 @@ wihen it becomes a V2 follower). The circuit in figure~\ref{fig:circuit2} shows a five pole low pass filter. Starting at the input, we have a first order low pass filter buffered by an op-amp, the output of this is passed to a Sallen~Key~\cite{aoe}[p.267] second order lowpass filter. -The output of this is passed into another Sallen~Key filter (which although it may have different values -for its resistors/capacitors and thus a different frequency response) is idential from a failure mode perspective. +The output of this is passed into another Sallen~Key filter -- which although it may have different values +for its resistors/capacitors and thus have a different frequency response -- is idential from a failure mode perspective. Thus we can analyse the first Sallen~Key low pass filter and re-use the results. @@ -501,13 +513,16 @@ that the impedance of the capacitor is lower for higher frequencies. Thus higher frquencies are attenuated at the point that we read its output signal. However, from a failure mode perspective we can analyse it in a very similar way -to a potential divider. +to a potential divider (see section~\ref{potdivfmmd}). Capacitors generally fail OPEN but some types fail OPEN and SHORT. We will consider the latter type for this analysis. - +We analyse the first order low pass filter in table~\ref{tbl:firstorderlp}.\\ \begin{table}[h+] +\caption{FirstOrderLP: Failure Mode Effects Analysis: Single Faults} % title of Table +\label{tbl:firstorderlp} + \begin{tabular}{|| l | l | c | c | l ||} \hline \textbf{Failure Scenario} & & \textbf{First Order} & & \textbf{Symptom} \\ & & \textbf{Low Pass Filter} & & \\ @@ -520,13 +535,13 @@ We will consider the latter type for this analysis. \hline \end{tabular} -\end{table} +\end{table} We can collect the symptoms $\{ LPnofilter,LPnosignal \}$ and create a derived component called $FirstOrderLP$. Applying the $fm$ function yields $$ fm(FirstOrderLP) = \{ LPnofilter,LPnosignal \}.$$ -\paragraph{Addition of Buffer Amplifier: first stage.} +\paragraph{Addition of Buffer Amplifier: First stage.} The opamp IC1 is being used simply as a buffer. By placing it between the next stages on the signal path we remove the possibility of unwanted signal feedback. @@ -536,6 +551,7 @@ from the $FirstOrderLP$ and the OPAMP component. \begin{table}[ht] \caption{First Stage LP1: Failure Mode Effects Analysis: Single Faults} % title of Table +\label{tbl:firststage} \centering % used for centering table \begin{tabular}{||l|c|c|l|l||} \hline \hline @@ -554,7 +570,7 @@ from the $FirstOrderLP$ and the OPAMP component. \hline \end{tabular} -\label{tbl:firststage} + \end{table} From the table~\ref{tbl:firststage} we can see three symptoms of failure of @@ -580,7 +596,7 @@ on the schematic as in figure~\ref{fig:circuit2002_LP1}. \paragraph{Second order Sallen Key Low Pass Filter.} The next two filters in the signal path are R1,R2,C2,C1,IC2 and R3,R4,C4,C3,IC3. From a failure mode perspective these are identical. -We can analyse one and re-use the results for the second. +We can analyse the first one and then re-use these results for the second. \begin{table}[ht] \caption{Sallen Key Low Pass Filter SKLP: Failure Mode Effects Analysis: Single Faults} % title of Table @@ -613,6 +629,11 @@ We can analyse one and re-use the results for the second. \label{tbl:sallenkeylp} \end{table} + + + + + We now can create a derived component to represent the Sallen Key low pass filter, which we can call $SKLP$. @@ -763,7 +784,9 @@ could be easily detected; the failure symptom $FilterIncorrect$ may be less obs \paragraph{ Creating a fault hierarchy.} The main concept of FMMD is to build a hierarchy of failure behaviour from the {\bc} level up to the top, or system level, with analysis stages between each -transition to a higher level in the hierarchy. $$ fm(LP1) = \{ LP1High, LP1Low, LP1ExtraLowPass, LP1NoLowPass \} $$ +transition to a higher level in the hierarchy. + + The first stage is to choose {\bcs} that interact and naturally form {\fgs}. The initial {\fgs} are collections of base components. @@ -943,7 +966,7 @@ This is a natural process. When we have a complicated systems they always have a small number of system failure modes. -\section{The Case for Derived Components} +\section{Examples of Derived Component like concepts in safety literature} Idea stage on this section \begin{itemize} @@ -1118,7 +1141,7 @@ Rigorous FMEA (RFMEA). \centering \includegraphics[width=400pt,keepaspectratio=true]{./three_tree.png} % three_tree.png: 851x385 pixel, 72dpi, 30.02x13.58 cm, bb=0 0 851 385 - \caption{FMMD Hierarchy with $(|fg| = 3) \wedge (|fm(c)| = 3)$} + \caption{FMMD Hierarchy with $(|fg| = 3)$ } % \wedge (|fm(c)| = 3)$} \label{fig:three_tree} \end{figure} @@ -1214,9 +1237,11 @@ $$ %\end{equation} $$ -\subsection{Exponential squared to Exponential} - -can I say that ? +% \subsection{Exponential squared to Exponential} +% +% can I say that ? +\bibliographystyle{plain} +\bibliography{../vmgbibliography,../mybib} \end{document} diff --git a/related_papers_books/3A.SILs.pdf b/related_papers_books/3A.SILs.pdf new file mode 100644 index 0000000000000000000000000000000000000000..f4b95ad298e6c3c9f957d091f78dc71ad69f0bf8 GIT binary patch literal 305539 zcma(2V~{6J*zJu@+qP}nwrx)P-?r_Z_Oxx=wr$(C{m%XDz2n^x=R}TM)ATlavV= z!~xdMrjGww>)+0%qNc`nCZ>e^{LoI$j;6nDpxxJ}vUCz~B^--(4m1`?Mxs>ye3<6A zlH#n#L@-x@#+->UM1u=H!uyBX6NUTrEG;GN#qYhjVA#q@B7jn8hEz^U#vY8s68z+B z`CWdSpIp$dc115I*URKxT3J+GN;iEZYfp4=D7gJJc{P2M_<3Borr5bXzy8=UAP_Wp z`MuiNeb3F|3WySkdb^7Ux` z*t_vt|GNK)`lKk^{^k(qY}dl%zp&=5;!V?-KlAc)f2U~BFPmuTO5;D!TqQ9qs0GlZ+N_D{QJIiwM;`E;;rrR;{C4J+_n=6AQOLb zId&yu=sCSvF#qFbA0+)}VaGT*=~#hAKt88z+U6%$4{l=Mqotx{;lS$ae7j=GkVbd= zcTVd9hSPD-EP(w zz4fQhVS0s+wNH7@hOV0R`$_z=ku*S0l11|mx*bU89zXrfN(Z3ftrIjY)@ic7R>-Z7 zVdc5y_Ym%ZZXhHkoo?S=Fo{%H3HqRG_KNxKWFY;o&M<2e~8tEYx zN}tF`z8M;hK_`lK*JW*59(T_R%}>V{X4h-W{3Aa6pE7)(TY#K;K3t#{yUd<1JB1(4 z&rS!O4u*DCr)8WIr>?J*B^);=z}fQy#}8u($F!dTpt!0(}i-5~v}Z&&7@ zV4HdG3zjdx;@sYUHt)-=pT4=;?UW-AGnT{t5eXn-sN1#FK84u4SqS6_L2znk8u()n zxa~JhL)9D7R^Q2~aJ)0G@SgG@eQ!U<&p`1E<6@r7__PlcgLiWAZU45=z&e0)JG5~r z6FV>v;PX1bWSjalQO027n;DR8Mr|f4Hej1?eg@1Zg8{=Ulkx?xKK@P^_p-i3=KM3! z$@1w~t6Sl7tRA*~^@r=4yrW-lpz3U7&&y?D(|Ktk5|5kKo5Qd8XFgJ6LD_jCj6ODP zu@?FK{P3qaegbdbhi=4Oz`D$fWM$y`d2_xS|2uJd?aD8UATX#)CmHre_)0IuBFt6u zyXP2hU8wj^1)lfRo&J1W$pieARNkLpzCM*XmO`rI41A50nah)zL`WtB!{Y@&(0Ilz z=*x$9jWI;1hQuvL<)e!EcM;R9N;u!j&(4E19nQ@sQ*)I;tHaT82#b!N!a2o~_l|Pd z3C6>U>B-b{n4`p^ll_=a zPsx)!&~Ed%(#WnpT<2o7lkW{au;049$VimiCC@<4TFZmNAw)N8iq~%I%lx+uzW}uV znEW-b(gu~1?cwhNyjtNPmGLBLN~3*fh{{>56E|oi(Eglmfck!&70Qqn9 zkqVqW>k(xhmu`sGHKq+;Kk`OJ9B-X^Fh(ElqNQWd(vb(g1@m{O)EhwiTanp?hq;87 z@^mnqQ_-uMC%NOD?3I}0uIyMNnlxNRrP1is=JL=Muh8D>NshJ`-S6+RriZ(l5}zgR z4yJ)hbO1@C(MSb;vzpawzNR+;yo1YIMz#XZ#MYlHO&9_*d