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{
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{
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\abstract{ This paper proposes a methodology for
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\abstract{ This paper proposes a methodology for
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creating failure mode models of safety critical systems, which
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creating failure mode models of safety critical systems, which
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have a common and integrateable notation
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has a common and integrateable notation
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for mechanical, electronic and software domains.
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for mechanical, electronic and software domains.
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In addition, the methodology address the traditional weaknesses of
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Fault Tree Analysis (FTA), Fault Mode Effects Analysis (FMEA)
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and Failure Mode Effects and Diagnostic Analysis (FMEDA).
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The proposed methodology is bottom-up and
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The proposed methodology is bottom-up and
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modular.}
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modular.}
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}
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}
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@ -17,19 +20,21 @@ modular.}
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\section{Introduction}
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\section{Introduction}
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There are three methodologies in common use for failure mode modelling.
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There are three methodologies in common use for failure mode modelling.
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These are Fault Tree Analysis (FTA), various forms of Fault Mode Effects Analysis (FMEA)
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These are FTA, FMEA
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and statistical analysis.
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and FMEDA (a form of statistical analysis).
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These methodologies have several draw backs.
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These methodologies have several draw backs.
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FTA can overlook error conditions, and FMEA and the Statistical Methods
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In short
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FTA, due to its top down nature, can overlook error conditions. FMEA and the Statistical Methods
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lack precision in predicting failure modes at the SYSTEM level.
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lack precision in predicting failure modes at the SYSTEM level.
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The Failure Mode Modular De-composition
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The Failure Mode Modular De-composition
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(FMMD) methodology presented here provides a more detailed and analytical
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(FMMD) methodology presented here provides a more detailed and analytical
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modelling system from which
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modelling system from which
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the data models from FTA, FMEA and the statistical approach can be
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the data models from FTA, FMEA and the statistical approach can be
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derived.
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derived if required.
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It also applies analysis stages to the failure mode analysis process
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It also applies rigorous checking in the analysis stages
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ensuring that all component failure modes must be considered in the model.
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ensuring that all component failure modes must be considered in the model.
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FMMD
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FMMD
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@ -70,6 +75,18 @@ In summary.
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This, like all top~down methodologies introduces the very serious problem
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This, like all top~down methodologies introduces the very serious problem
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of missing component failure modes, or modelling at
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of missing component failure modes, or modelling at
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a too high level of failure mode abstraction.
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a too high level of failure mode abstraction.
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FTA was invented for use on the minuteman nuclear defence missile
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systems in the early 1960's and was not designed as a rigorous
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fault/failure mode methodology. It is more like a structure to
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be applied when discussing the safety of a system, with a top down hierarchical
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notation, that guides the analysis. This methodology was designed for
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experienced engineers sitting around a large diagram and discussing the safety aspects.
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Also the nature of a large rocket with red wire, and remote detonation
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failsafes meant that the objective was to iron out common failures
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not to rigorously detect all possible failures.
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Consequently it was not designed to guarantee to cover all component failure modes,
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and has no rigorous in-built safeguards to ensure coverage of all possible
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system level outcomes.
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\subsection { FMEA }
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\subsection { FMEA }
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as often the component failure mode cannt be proven to cause a SYSTEM level failure, only to make it more likely.
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as often the component failure mode cannt be proven to cause a SYSTEM level failure, only to make it more likely.
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Also, it can miss combinations of failure modes that will cause SYSTEM level errors.
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Also, it can miss combinations of failure modes that will cause SYSTEM level errors.
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\subsection { Statistical Analyis }
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\subsection { FMEDA or Statistical Analyis }
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This is a process that takes all the components in a system,
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and from the failure modes of those components
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calculates a risk factor for each.
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The risk factors of all the component failure modes are summed and
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give a value for the `safety level' for the equipment in a given environment.
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%%-he FMEDA technique considers
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%%-• All components of a design,
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%%-• The functionality of each component,
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%%-• The failure modes of each component,
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%%-• The impact of each component failure mode on the product functionality,
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%%-• The ability of any automatic diagnostics to detect the failure,
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%%-• The design strength (de-rating, safety factors) and
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%%-• The operational profile (environmental stress factors).
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This uses MTFF and other statisical models to determine the probability of
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This uses MTFF and other statisical models to determine the probability of
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failures occurring. A component failure mode, given its MTTF
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failures occurring. A component failure mode, given its MTTF
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the probability of detecting the fault and its safety relevant validation time $\tau$,
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the probability of detecting the fault and its safety relevant validation time $\tau$,
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contributes a simple risk factor that is summed
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contributes a simple risk factor that is summed
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in to give a final risk result. Thus a statistical
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in to give a final risk result. Thus a statistical
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model can be implemented on a spreadsheet, where each component
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model can be implemented on a spreadsheet, where each component
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has a calculated risk, and estimated risk importance
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has a calculated risk, a fault detection time (if any), an estimated risk importance
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and other factors such as de-rating and environmental stress.
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This can be calculated, with one component failure mode per row, on a spreadsheet
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and these are all summed to give the final assement figure.
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and these are all summed to give the final assement figure.
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\paragraph{Two statistical perspectives}
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The Statistical Analysis method is used from two perspectives,
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The Statistical Analysis method is used from two perspectives,
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Probability of Failure on Demand (PFD), and Probability of Failure
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Probability of Failure on Demand (PFD), and Probability of Failure
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in continuous Operation, Failure in Time (FIT) and measured in failures per billion ($10^9$) hours of operation.
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in continuous Operation, Failure in Time (FIT) and measured in failures per billion ($10^9$) hours of operation.
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For instance with the anti-lock system on a automobile braking
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For instance with the anti-lock system on a automobile braking
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system, we would be interested in PFD.
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system, we would be interested in PFD.
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For a continuously running nuclear powerstation
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For a continuously running nuclear powerstation
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we would be interested in its FIT values.
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we would be interested in its 24/7 operation FIT values.
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This suffers from the same problems of
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This suffers from the same problems of
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lack of determinability prediction accuracy, as FMEA above.
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lack of determinability prediction accuracy, as FMEA above.
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We have to decide how particular components failing will impact ot the SYSTEM or top level.
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This involves a `leap of faith'. For instance a resistor failing in a sensor cirrcuit
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may be part of a critical montioring function. But the analyst is put in a position
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where he must assign a critical failure possibility to it. There is no analysis
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of how that resistor would/could affect that circuit, but because of the circuitry
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it is part of critical section it is linked to a critical system level fault.
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By this we may have the MTTF of some critical component failure
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By this we may have the MTTF of some critical component failure
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modes, but we can only guess, in most cases what the safety case outcome
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modes, but we can only guess, in most cases what the safety case outcome
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