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