MTBF-1.php 5236 Bytes 31-07-2024 19:12:11
Mean Time To Failure • Reliability Considerations
How to calculate the Reliability of your circuit
FITS • λ
FIT means Failure In Time. It indicates, how many units fail within a certain timespan e.g.
10^9 hours.
1 FIT = 1 Failure in 109 hours
As the timespan may vary, it is recommended to indicated it. (109 hours is widely used)
Measuring the number of failures over time provides a failure rate : λ.
MTBF • MTTF
The Mean Time Between Failure (MTBF), or for components, the Mean Time To Failure (MTTF) is the distribution
for a population of parts. MTTF is the reciprocal of the failure rate.
MTBF = 1 / λ
1) Collect Data
In a first step, you must collect all FIT's from every component in your circuit.
This data mayst be delivered by the manufacturer, obtained by simulation or by own measurement.
It is good practice to do this with the spread-sheet of your choice. By that, you can calculate the
sum of all FITs times their occurence.
And yes : Manufacturers don't like to publish their FITs. So there is some guess-work
involved.
2) Probability for Failure
With the above, we can now calculate the
Probability for Failure = F(t) and the Probability for Survivor = R(t).
R(t) = exp(-λ * t)
In our example this becomes :
R(5 years) = exp(-3328.3 * 109(per hour) * 5 (years) * 365 (days/year) * 24 (hours/day)
= 0.8643 or 86.43 %.
And F(t) = 1 - R(t) becomes : F(5 years) = 0.1357 or 13.57 %
3) MTTF : Mean Time to Failure
MTTF = 1 / λ
In our example this becomes :
MTTF = 1 * 109 / 3328.3 = 300453.7 hours or 34.4 years.
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