Catto / Topic Map · Electronic Technology Level 5
Electronic Technology · 120 h · Topic 1 of 9

Standards, failures and reliability

A 200-component device that at 40 °C has a 92 % probability of working five years without failing drops to 66 % if it runs at 60 °C. Temperature is the first enemy of reliability.

Failure rate MTBF Bathtub curve Redundancy Arrhenius

01Standards and specifications

An electronic product is designed against a specification: what it has to do, under what conditions and for how long. A good part of it is set by standards, which make it possible to compare products and meet legal requirements:

BodyExamples of standards
IECElectrical safety (IEC 62368-1), electromagnetic compatibility (61000 series), components
IPCPrinted circuit board design (IPC-2221), acceptability of assemblies (IPC-A-610), soldering (J-STD-001)
ISOQuality management (ISO 9001), environmental management (ISO 14001)
JEDECPackages, moisture sensitivity and reliability tests of semiconductors
IRAMArgentine standards, many adopted from international ones

The specifications of a component distinguish the absolute maximum ratings, which must never be exceeded, from the recommended operating conditions and the guaranteed characteristics. Testing and certification were covered in testing and standards, in Electronic Measurements I.

02Failures and the bathtub curve

The failure rate of a population of components follows the bathtub curve: high at the start, because of manufacturing defects (infant mortality), low and almost constant during the useful life (random failures), and rising at the end, because of wear-out. Manufacturers eliminate the first part with burn-in tests (burn-in). The most common failure mechanisms are electromigration in metallizations, oxide breakdown, thermal fatigue of solder joints, corrosion and the drying out of electrolytic capacitors.

03Failure rate, MTBF and reliability

In the flat region, the failure rate \( \lambda \) is constant and the probability of working without failing up to \( t \) is exponential. In a series system, where any failure stops it, the rates add up:

\[ R(t) = e^{-\lambda t}, \quad MTBF = \frac{1}{\lambda} \] \[ \lambda_{sys} = \sum_i \lambda_i \] Rates are expressed in FIT, failures per 10⁹ hours. 200 components of 10 FIT give 2000 FIT: an MTBF of 500,000 hours. That does not mean the equipment lasts 57 years: the probability of working five years without failing is 92 %.

With redundancy, two units in parallel where one is enough, the probability of failure is the product: \( R_{par} = 1 - (1 - R)^2 \). The failure rate depends on temperature according to the Arrhenius model:

\[ AF = \exp\!\left[\frac{E_a}{k}\left(\frac{1}{T_{ref}} - \frac{1}{T}\right)\right] \] \( E_a \) is the activation energy of the failure mechanism, typically 0.5 to 1 eV, and \( k \) = 8.617·10⁻⁵ eV/K. With 0.7 eV, every 20 °C more multiplies the rate by four or five. It is also the basis of accelerated tests.
Lab · reliability and temperature

A piece of equipment with N components of 10 FIT each at 40 °C and an activation energy of 0.7 eV. The curve is the probability of working without failing as a function of the years, without redundancy (blue) and with two redundant units (green).

The failure rates of each type of component are estimated with prediction handbooks, such as MIL-HDBK-217 or Siemens SN 29500, or with the manufacturer's field data.

04In the lab

Activity 1 · Prediction

Estimate the MTBF of a lab board by counting its components by type and using failure rates from a prediction handbook.

Activity 2 · Temperature

Measure with a thermal camera or thermocouples the temperature of the hottest components of a power supply and recompute the reliability.

Activity 3 · Datasheet

In the datasheet of a regulator, separate the absolute maximum ratings, the recommended conditions and the guaranteed characteristics.

05Common mistakes

  • Reading the MTBF as the useful life. It is the inverse of the random failure rate, not the time until wear-out.
  • Designing at the absolute maximum rating. It is a damage limit; work with margins, derating voltage, current and temperature.
  • Forgetting temperature in reliability. A few degrees more multiply the failure rate.
  • Believing that redundancy solves everything. Common-cause failures affect both units at once.

06Self-assessment

What MTBF does a 5000 FIT piece of equipment have?

200,000 hours.

What probability does it have of working one year without failing?

\( e^{-8760/200\,000} \approx 0.957 \).

With Ea = 0.7 eV, how much does the failure rate increase going from 40 to 60 °C?

About 4.7 times.

What is infant mortality?

The high failure rate at the beginning of life, because of manufacturing defects; it is eliminated with burn-in tests.

07Further reading

  • Patrick D. T. O'Connor and Andre Kleyner. Practical Reliability Engineering. 5th ed., Wiley, 2012. The practical reference on reliability, prediction and accelerated testing.
  • United States Department of Defense. MIL-HDBK-217F: Reliability Prediction of Electronic Equipment. 1991. The classic handbook of failure rates by component type.
  • Milton Ohring and Lucian Kasprzak. Reliability and Failure of Electronic Materials and Devices. 2nd ed., Academic Press, 2014. The physical failure mechanisms of electronic materials and devices.
Development of the topic “Standards, failures and reliability” of Electronic Technology (Level 5), based on the curriculum of the UTN Electronic Engineering program, 2023 curriculum — Ordinance No. 1849 of the UTN Higher Council. Back to the Topic Map · catto.ar