diff --git a/fmmd_design_aide/fmmd_design_aide.tex b/fmmd_design_aide/fmmd_design_aide.tex index a44b2b3..82eda62 100644 --- a/fmmd_design_aide/fmmd_design_aide.tex +++ b/fmmd_design_aide/fmmd_design_aide.tex @@ -494,9 +494,69 @@ We can surmise the symptoms in a list. \item symptom: \textbf{no~test~effect} caused by the failure modes: no~test~effect, low~reading. \end{itemize} +\section{MTTF Reliability statistics} -\section{conclusions} +%\clearpage +\subsection{OP-AMP FIT Calculations} +The DOD electronic reliability of components +document MIL-HDBK-217F\cite{mil1992}[5.1] gives formulae for calculating +the +%$\frac{failures}{{10}^6}$ +${failures}/{{10}^6}$ % looks better +hours for a wide range of generic components. +These figures are based on components from the 1980's and MIL-HDBK-217F +gives very conservative reliability figures when applied to +modern components. The formula for a generic packaged micro~circuit +is reproduced in equation \ref{microcircuitfit}. +The meanings of and values assigned to its co-efficients are described in table \ref{tab:opamp}. + +\begin{equation} + {\lambda}_p = (C_1{\pi}_T+C_2{\pi}_E){\pi}_Q{\pi}_L + \label{microcircuitfit} +\end{equation} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Low SIL assessment MAX3053 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\begin{table}[ht] +\caption{OP AMP FIT assessment} % title of Table +\centering % used for centering table +\begin{tabular}{||c|c|l||} +\hline \hline + \em{Parameter} & \em{Value} & \em{Comments} \\ + & & \\ \hline \hline + $C_1$ & 0.040 & $300 \ge 1000$ 1001 BiCMOS transistors (1214) \\ \hline + ${\pi}_T$ & 1.4 & max temp of $60^o$ C\\ \hline + $C_2$ & 0.0026 & number of functional pins(8) \\ \hline + ${\pi}_E$ & 2.0 & ground fixed environment (not benign)\\ \hline + ${\pi}_Q$ & 2.0 & Non-Mil spec component\\ \hline + ${\pi}_L$ & 1.0 & More than 2 years in production\\ \hline + +\hline \hline +\end{tabular} +\label{tab:opamp} +\end{table} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% END OF Low SIL assessment MAX3053 +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +Taking these parameters and applying equation \ref{microcircuitfit}, +$$ 0.04 \times1.4 \times0.0026 \times2.0 \times2.0 \times1.0 = .0005824 $$ +we get a value of $0.0005824 \times {10}^6$ failures per hour. +This is a worst case FIT\footnote{where FIT (Failure in Time) is defined as +failures per Billion (${10}^9$) hours of operation} of 1. + +\subsection{Switching Transistor} + +The switching transistor will be operating at a low frequency +and well within 50\% of it maximum voltage. +MIL-HDBK-217F\cite{mil1992}[6-25] gives an exmaple +transistor in these environmental conditions, and assigns an FIT value of 11. + +\section{Conclusions} With the safety addition the undetectable failure mode of \textbf{low~reading} disappears.