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Reliability HotWire Issue 76, June 2007 Hot Topics On-Condition Maintenance Using P-F Interval or Failure Detection Threshold (FDT) On-condition maintenance relies on the capability to detect failures before they happen so that preventive maintenance can be initiated. Many failure modes exhibit signs of warning as they are about to occur. If, during an inspection, maintenance personnel can find evidence that the equipment is approaching the end of its life, then it may be possible to delay the failure, prevent it from happening or replace the equipment at the earliest convenience rather then allowing the failure to occur and possibly cause severe consequences. This article explains a methodology, using Weibull++ 7, to estimate the P-F interval or Failure Detection Threshold (FDT), which are two typical ways to describe the detectability of a failure. In addition, this article shows how to use the detectability information in the analysis of repairable systems using BlockSim 7 orRCM++ 4. Background In the arena of Reliability Centered Maintenance (RCM) or repairable system analysis, one of the strategies for failure management is on-condition maintenance, also called predictive or condition-based maintenance. This strategy relies on the capability of maintenance personnel to detect potential failures in advance in order to take appropriate actions. Examples of failure signs that can be detected are vibrations, cracks, particles in oil, temperature, noise, viscosity, color, etc. Many technologies have been developed to monitor failure characteristics such as vibration analysis, X-ray radiography, ultrasonics, infrared thermography, oil analysis, acoustic emission, etc. P-F curves and P-F Intervals A common curve that illustrates the behavior of equipment as it approaches failure is the P-F curve. The curve shows that as a failure starts manifesting, the equipment deteriorates to the point at which it can possibly be detected (P). If the failure is not detected and mitigated, it continues until a "hard" failure occurs (F). The time range between P and F, commonly called the P-F interval, is the window of opportunity during which an inspection can possibly detect the imminent failure and address it. P-F intervals can be measured in any unit associated with the exposure to the stress (running time, cycles, miles, etc). For example, if the P-F Interval is 200 days and the item will fail at 1000 days, the approaching failure begins to be detectable at 800 days.
Transcript
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Reliability HotWire Issue 76, June 2007

Hot Topics

On-Condition Maintenance Using P-F Interval or FailureDetection Threshold (FDT)On-condition maintenance relies on the capability to detect failures before they happen

so that preventive maintenance can be initiated. Many failure modes exhibit signs of 

warning as they are about to occur. If, during an inspection, maintenance personnel

can find evidence that the equipment is approaching the end of its life, then it may be

possible to delay the failure, prevent it from happening or replace the equipment at the

earliest convenience rather then allowing the failure to occur and possibly cause severe

consequences. This article explains a methodology, using Weibull++ 7, to estimate

the P-F interval or Failure Detection Threshold (FDT), which are two typical ways to

describe the detectability of a failure. In addition, this article shows how to use the

detectability information in the analysis of repairable systems using BlockSim

7 orRCM++ 4.

Background

In the arena of Reliability Centered Maintenance (RCM) or repairable system analysis,

one of the strategies for failure management is on-condition maintenance, also called

predictive or condition-based maintenance. This strategy relies on the capability of 

maintenance personnel to detect potential failures in advance in order to take

appropriate actions. Examples of failure signs that can be detected are vibrations,cracks, particles in oil, temperature, noise, viscosity, color, etc. Many technologies

have been developed to monitor failure characteristics such as vibration analysis, X-ray

radiography, ultrasonics, infrared thermography, oil analysis, acoustic emission, etc.

P-F curves and P-F Intervals

A common curve that illustrates the behavior of equipment as it approaches failure is

the P-F curve. The curve shows that as a failure starts manifesting, the equipment

deteriorates to the point at which it can possibly be detected (P). If the failure is not

detected and mitigated, it continues until a "hard" failure occurs (F). The time range

between P and F, commonly called the P-F interval, is the window of opportunity

during which an inspection can possibly detect the imminent failure and address it. P-F

intervals can be measured in any unit associated with the exposure to the stress(running time, cycles, miles, etc). For example, if the P-F Interval is 200 days and the

item will fail at 1000 days, the approaching failure begins to be detectable at 800 days.

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Failure Detection Threshold (FDT)

In addition to P-F intervals, the indication of when the approaching failure will become

detectable during inspections can be specified using a factor called the FailureDetection Threshold (FDT). FDT is a number between 0 and 1 that indicates the

percentage of an items life that must elapse before an approaching failure can be

detected. For example, if the FDT is 0.9 and the item will fail at 1000 days, the

approaching failure becomes detectable after 90% of the life has elapsed, which

translates to 900 days in this case (09.*1000=900).

Estimating the P-F Interval or FDT

Estimation of the P-F interval or FDT can be achieved using the judgment and

experience of the people who design, manufacture and/or operate the equipment. Note

that estimating the P-F Interval or FDT should be done on one failure mode at a time.

Many failure mechanisms can be directly linked to the degradation of part of the

product. Weibull++ 7s Degradation Analysis Folio enables the analysis of 

degradation data. Degradation analysis involves the measurement of the degradation

of performance/quality data that can be directly related to the presumed failure of the

product in question. Assuming such data can be obtained, the FDT or P-F Interval can

be estimated using this technique.

To illustrate the use of this method, we use an example from an oil refinery company

that performed a study on the clogging problem in a type of pipes in its refinery. A

type of inspection equipment that uses gamma rays to measure the thickness of 

clogging is passed outside of the pipe. This is a reliable non-intrusive method. The pipe

is considered to be failed if the thickness of clogging exceeds 5 inches (this is

equivalent to the "F" point in the P-F curve). Also, a "warning" thickness degradation

level of 3.5 inches has been identified. If the clogging thickness increases above 3.5

inches, this is considered to be an obvious sign of imminent failure (this is equivalent

to the "P" point in the P-F curve).

The following data set shows the thickness measurement over time at different

inspection times. The failure times for each observed unit were also recorded (if the

failures are not actually observed, they can be estimated using degradation analysis).

The figure below shows the measurements (in months) entered in the Degradation

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Analysis Folio.

The first step in this analysis is to specify a degradation model to use to fit the

observed data. For this type of failure mode, it was determined that the exponential

degradation model is an appropriate model (the choice of degradation model comes

from a physics of failure understanding of how the degradation of the

performance/quality progresses over time). After the parameters of the degradation

model are calculated for each of the observed units, the models can be used to

estimate the times that correspond to the warning limit of thickness. This is done by

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setting the Critical Degradation field in the Main tab of the Control Panel to 3.5.

Using the fitted degradation model, the time values equivalent to the warning limit of 

thickness are calculated. (To see these time values, after calculating, click the ... icon

in the Extrapolated Values frame in the Main tab of the Control Panel.) A plot of 

degradation versus time with the failure thickness and warning limit labeled is shown

next.

Table 1 summarizes the estimated "P" and "F" times in addition to the P-F interval or

FDT values for each observed unit. The P-F interval or FDT values for each observed

unit use the following equations:

P-F Interval = F P

FDT = P/F

Table 1 P and F results for each observed pipe along with the calculated P-F Interval

and FDT

Unit IDWarning

(P)Failure

Time (F)P-F Interval FDT

A01 11.33 13.5 2.17 0.84

A02 11.05 14 2.95 0.79

A03 12.19 14.5 2.31 0.84

A04 15.90 18.5 2.60 0.86

A05 13.34 15.7 2.36 0.85

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 Average 2.48 0.84

The P-F interval and FDT average values shown above can be used as the final P-F

interval and FDT estimates (you can also use median values).

Using P-F Interval and FDT in System Modeling

After estimating the P-F intervals or FDT values that describe the detectability of 

failures, the analyst can use either of these values to analyze a systems reliability and

availability and/or to select the appropriate maintenance strategy for the equipment.

Reliability Centered Maintenance (RCM) and system analysis using Reliability Block

Diagrams (RBD) are two typical approaches for the analysis of repairable systems.

The next two figures show how P-F intervals or FDT values can be specified in the

Maintenance Task Properties window in RCM++ or the Block Properties window in

BlockSim.

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Note that in order to use on-condition maintenance in BlockSim, you need to perform

the following steps:

Specify an Inspection Policy that dictates when the block will be inspected.• Specify the P-F interval or FDT value that describes the detectability of failure

for the block.

• Specify a Preventive Maintenance Policy so that preventive maintenance can be

performed on the block. Given that no other preventive maintenance is required in

this example, it is necessary to create a Preventive Maintenance Policy that

ensures that the preventive maintenance does not occur unless and until is

triggered by the detection of failure during inspection. Some options for creating

such a policy include specifying that preventive maintenance will occur at one of 

the following times:

o Upon maintenance of another group item-- in this case, leave the default

of 0 for the block's Item Group Number. A group number of 0 indicates thatthe block is not part of a group, so there are no other group items and the

preventive maintenance will therefore not occur independently.

o Upon start of a maintenance phase-- because this example includes only

an operational phase, this will not occur independently.

o Upon fixed time interval based on system age-- in this case, specify an

interval larger than the simulation time to ensure that the preventive

maintenance does not occur independently.

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Estimating Efficient Inspection Intervals

If inspections are done frequently, the costs due to inspections will be high, but so will

be the likelihood of catching potential failures. On the other hand, if inspections are

performed rarely, the costs due to inspections will be lower but so will be the likelihood

of detecting potential failures. In practice, inspection intervals that are equal to half of 

the P-F interval are considered to be adequate. [1] The time necessary to take anaction also needs to be considered to ensure that ample time is allocated for repairs.

The severity of the failure also weighs into the decision on the frequency of the

inspection interval.

BlockSim 7 and RCM++ 4 allow the analyst to evaluate the impact of the use of a

certain inspection period on the component and the system. The impact can be

described based on different criteria such as availability, throughput, uptime and profit.

Various inspection intervals can be compared and the optimum inspection interval can

be determined.

Conclusion

This article explained how the detectability of failures as expressed by P-F intervals or

FDT can be estimated based on degradation data. It also showed how such information

can be incorporated into repairable system analysis in BlockSim or RCM++.

References

1. Moubray, John, Reliability-Centered Maintenance, Industrial Press, Inc., New York

City, NY, 1997.


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