Example milli-volt amplifier given a diagram

This commit is contained in:
Robin Clark 2011-10-03 20:03:31 +01:00
parent 382f33e831
commit 609d37d013
2 changed files with 44 additions and 18 deletions

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@ -45,20 +45,42 @@
\begin{frame}
\frametitle{ FMEA Example: Milli-volt reader}
Example: Let us consider a system, in this case a milli-volt reader, consisting
of instrumentation amplifiers connected to a micro-processor
that reports its readings via RS-232.
\begin{figure}
\centering
\includegraphics[width=175pt]{./mvamp.png}
% mvamp.png: 561x403 pixel, 72dpi, 19.79x14.22 cm, bb=0 0 561 403
\end{figure}
\end{frame}
\begin{frame}
\frametitle{FMEA Example: Milli-volt reader}
Let us perform an FMEA and consider how one of its resistors failing could affect
it.
For the sake of example let us choose a resistor in an OP-AMP
reading the milli-volt source and that if it were to go open, we would have a gain
of 1 from the amplifier.
For the sake of example let us choose resistor R1 in the OP-AMP gain circuitry.
\begin{figure}
\centering
\includegraphics[width=175pt]{./mvamp.png}
% mvamp.png: 561x403 pixel, 72dpi, 19.79x14.22 cm, bb=0 0 561 403
\end{figure}
\end{frame}
\begin{frame}
\frametitle{FMEA Example: Milli-volt reader}
\begin{itemize}
\pause \item \textbf{F - Failures of given component} The resistor could fail by going OPEN or SHORT (EN298 definition).
\pause \item \textbf{M - Failure Mode} Consider the component failure mode OPEN
\pause \item \textbf{E - Effects} This will disconnect the feedback loop in the amplifier causing a LOW READING
\pause \item \textbf{E - Effects} This will disconnect the feedback loop in the amplifier, driving the minus input HIGH causing a LOW READING
\pause \item \textbf{A - Analysis} The reading will be out of normal range, and we will have an erroneous milli-volt reading
\end{itemize}
\end{frame}
@ -83,26 +105,28 @@ approach in looking for system failures.
Consider the analysis
where we look at all the failure modes in a system, and then
see how they can affect all other components within it.
We need to look at a large number of failure scenarios
to do this completely (all failure modes against all components).
This is represented in equation~\ref{eqn:fmea_state_exp},
where $N$ is the total number of components in the system, and
$cfm$ is the number of failure modes per component.
\end{frame}
\begin{frame}
\begin{frame}
\frametitle{Rigorous Single Failure FMEA}
We need to look at a large number of failure scenarios
to do this completely (all failure modes against all components).
This is represented in the equation below. %~\ref{eqn:fmea_state_exp},
where $N$ is the total number of components in the system, and
$cfm$ is the number of failure modes per component.
\begin{equation}
\label{eqn:fmea_single}
N.(N-1).cfm % \\
%(N^2 - N).cfm
\end{equation}
\end{frame}
\begin{frame}
\frametitle{Rigorous Single Failure FMEA}
This would mean an order of $N^2$ number of checks to perform
to perform `rigorous~FMEA'. Even small systems have typically
100 components, and they typically have 3 or more failure modes each.
@ -330,7 +354,7 @@ safety Integrity.
For Hardware
FMEDA does force the user to consider all components in a system
by requiring that a MTTF value is assigned.
by requiring that a MTTF value is assigned for each failure~mode.
This MTTF may be statistically mitigated (improved)
if it can be shown that selfchecking will detect failure modes.
\end{frame}
@ -421,8 +445,8 @@ FMEDA is a modern extension of FMEA, in that it will allow for
self checking features, and provides detailed recommendations for computer/software architecture.
It also has a simple final result, a Safety Integrity Level (SIL) from 1 to 4 (where 4 is safest).
FMEA can be used as a term simple to mean Failure Mode Effects Analysis, and is
part of product approval for many regulated products in the EU and the USA...
%FMEA can be used as a term simple to mean Failure Mode Effects Analysis, and is
%part of product approval for many regulated products in the EU and the USA...
\end{frame}
@ -672,7 +696,9 @@ not all the components in the system.
\textbf{traceability}
Because each reasoning stage contains associations ($FailureMode \mapsto Sypmtom$)
we can trace the `reasoning' from base level component failure mode to top level/system
failure.
failure, by traversing the tree.
\end{frame}
\begin{frame}

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