31 Jul 2012

# Understanding Power Supply Reliability

### Gary Bocock, Technical Director, XP Power discusses the key factors that affect the reliability of power supplies and the associated terminology

Power supply reliability is a key issue for any application where they are used.

If a power supply fails, then not only can it bring down a complete system, it can also cause major damage, dependent upon the way it fails.

With power supplies often carrying large levels of power and having to withstand input transients and the like, power supply reliability is a key issue.

There are many aspects to understanding how to design reliable products, but let’s start by some explanation of the terminology used when describing reliability.

## Terminology

Failure rate, λ, is defined as the percentage of units failing per unit of time. This varies throughout the life of the equipment and if λ is plotted against time, a characteristic bathtub curve (Figure 1) is obtained for most electronic equipment.

##### Figure 1 Reliability Bathtub curve

The curve has three regions:

• A - Infant mortality

• B - Useful life

• C - Wear out.

In region A, poor workmanship and substandard components cause failures. This period is usually over within the first few tens of hours and burn-in is normally employed to prevent these failures occurring in the field. Burn-in does not entirely stop the failures occurring but is designed to ensure that they happen within the manufacturing location rather than at the customer’s premises or in the field. Next is region B. Here the failure rate is approximately constant and it is only for this region that the following analysis applies.

Finally, in region C, components begin to fail through reaching end of life rather than by random failures. Electrolytic capacitors dry out, fan bearings seize up, switch mechanisms wear out and so on. Well implemented preventative maintenance can delay the onset of this region.

Reliability is defined as the probability that a piece of equipment operating under specified conditions will perform satisfactorily for a given period of time. Probability is involved since it is impossible to predict the behavior with absolute certainty. The criterion for satisfactory performance must be defined as well as the operating conditions such as input, output, temperature, load etc.

Mean time between failures (MTBF) applies to equipment that is going to be repaired and returned to service, Mean time to failure (MTTF) to parts that will be thrown away on failing. MTBF is the inverse of the failure rate and is often misunderstood. It is often assumed that the MTBF figure indicates a minimum guaranteed time between failures. This assumption is incorrect, and for this reason the use of failure rate rather than MTBF is recommended.

The mathematics are expressed as follows:

##### Figure 2 Reliability Formula

This shows that for a constant failure rate, plotting reliability ‘R(t)’ against time ‘t’ gives a negative exponential curve. When t/m = 1, i.e. after a time ‘t’, numerically equal to the MTBF figure ‘m’, then

R(t) = e-1 = 0.37

##### Figure 3 Reliability Curve

This equation can be interpreted in a number of ways:

• If a large number of units are considered, only 37% of them will survive for as long as the MTBF figure.

• For a single unit, the probability that it will work for as long as its MTBF figure is only 37%.

• The unit will work for as long as its MTBF figure with a 37% Confidence Level.

To put these numbers into context, consider a power supply with an MTBF of 500,000 hrs (or a failure rate of 0.002 failures per 1000 hrs), or as the advertisers would put it, an MTBF figure of 57 years. Using the above equation, R(t) for 26,280 hours (three years) is approximately 0.95 and if such a unit is used 24 hours a day for three years the probability of it surviving is 95%. The same calculation for a ten year period will give an R(t) of 84%. If 700 units are used, on average 0.2%/1000hrs will fail, or approximately one per month.

##### Figure 4 Comparing service life of different items

There is no direct connection or correlation between service life and failure rate. It is perfectly possible to design a very reliable product with a short life. A typical example is a missile, which has to be very very reliable (MTBF of several million hours), but its service life is only around 4 minutes (0.06hrs). 25-year-old humans have an MTBF of about 800 years, (failure rate of 0.1% per year), but not many have a comparable service life. If something has a long MTBF, it does not necessarily have a long service life.

## Factors affecting reliability

The most important factor is good, careful design based on sound experience, resulting in known safety margins. Unfortunately, this does not show up in any predictions, since they assume a perfect design.

Many field failures of electronic equipment are not due to the classical random failure pattern discussed here, but to shortcomings in the design and in the application of the components, as well as external factors such as occasional voltage surges. These may be outside of the specification but no one will ever know, as all that will be seen is a failed unit. Making the units rugged through careful design and controlled overstress testing is a very important part of making the product reliable.

The failure rate of the equipment depends on the following three factors.

• Complexity Keep things simple, because what isn’t there can’t fail but, conversely, what isn’t there can cause a failure. A complicated or difficult specification will invariably result in reduced reliability. This is not due to the shortcomings of the design staff, but to the resultant component count. Every component used will contribute to the equipment's unreliability.

• Stress For electronic equipment, the most prominent stresses are temperature, voltage, vibration and temperature rise due to current. The effect of each of these stresses on each of the components must be considered. In order to achieve good reliability, various de-rating factors have to be applied to these stress levels. The de-rating has to be traded off against cost and size implications. Great care and attention to detail is necessary to reduce thermal stresses as far as possible. The layout has to be such that heat-generating components are kept away from other components and are adequately cooled. Thermal barriers are used where necessary and adequate ventilation needs to be provided. The importance of these provisions cannot be overstressed since the failure rate of the components will double for a 10 ºC increase in temperature. Decreasing the size of a unit without increasing its efficiency will make it hotter, and therefore less reliable.

• Generic Generic reliability (also known as inherent reliability) refers to the fact that, for example, film capacitors are more reliable than electrolytic capacitors, wire-wrap connections more reliable than soldered ones, fixed resistors more reliable than potentiometers. Components have to be carefully selected to avoid the types with high generic failure rates. Quite often there is a cost trade-off, as more reliable components can be more expensive.

• Estimating the failure rate The failure rate should be estimated and measured throughout the life of the equipment. During the design, it is predicted. During the manufacture, it is assessed. During the service life, it is observed.

The failure rate is predicted by evaluating each of the factors affecting reliability for each component and then summing these to obtain the failure rate of the whole equipment. It is essential that the database used is defined and used consistently. There are three databases in common use: MIL-HDBK-217, HRD5 and Bellcore. These reflect the experiences of the US Navy, British Telecom and Bell Telephone respectively.

In general, predictions assume that the design is perfect, the stresses known, everything is within ratings at all times, so that only random failures occur; every failure of every part will cause the equipment to fail and that the database is valid. These assumptions are incorrect. The design is less than perfect, not every failure of every part will cause the equipment to fail, and the database is likely to be 15 years out of date. However, none of this matters as long as the predictions are used to compare different topologies or approaches rather than to establish an absolute figure for reliability. This is what predictions should be used for.

## Prediction

There are a number of ways in which the reliability can be predicted:

• Parts stress method In this method, each factor affecting reliability for each component is evaluated. Since the average power supply has over 100 components and each component about seven factors (stress ratio, generic, temperature, quality, environment, construction and complexity), this method requires considerable effort and time. Predictions are usually made in order to compare different approaches of topologies, i.e. when detailed design information is not available and the design itself is still in a fluid state. Under such circumstances it is hardly worthwhile to expend this effort and the much simpler and quicker Parts count method is used.

• Parts count method In this method, all like components are grouped together, and average factors allocated for the group. So, for example, instead of working out all the factors for each of the 15 electrolytic capacitors used there is only one entry of capacitor with a quantity of 15. Usually only two factors are allocated, generic and quality. The other factors, including stress levels, are assumed to be at some realistic level and allowed for in the calculation. For this reason, the factors are not interchangeable between the two methods. In general, for power supplies, HRD5 gives the most favourable result closely followed by Bellcore, with MIL-217 the least favorable. This depends on the mix of components in the particular equipment, since one database is ‘unfair’ on ICs, and another on FETs. Hence the importance of comparing results from like databases only.

• Assessment This is the most useful and accurate way of predicting the failure rate. A number of units are put on life test, at an elevated temperature, and so the stresses and the environment are controlled.

With all the sophisticated computer analysis available, there is still no substitute for thoroughly testing products or components. One way of doing this would be to perform HALT testing. HALT (Highly Accelerated Life Test) is used to test as many different conditions as possible and cycling the temperature, input and load independently.

A final point is attention to the manufacturing method used. Manual assembly can be prone to errors and unintentional stressing of components. Careful control and management of supply chain practices should be observed.

Page 1 of 1

## About the author

Gary Bocock is a qualified electronics engineer, HNC and Member of the Institution of Engineering and Technology, MIET. He has worked in the power supply industry for 25 years in design, development, applications and management roles. He has been with XP for 14 years and has held a variety of engineering and management jobs, culminating in his present position as Technical Director.

XP Power is a leading provider of power solutions, from AC-DC power supplies through to a full range of of DC-DC converters. XP offers total quality, from in-house design in Asia, Europe and North America through to manufacturing facilities around the world. The company offers the widest range of power products available from one source and unrivalled technical and customer support, aiding both vendor consolidation and cost reduction programmes. XP has 27 sales offices throughout Europe, North America and Asia.

## Most popular articles in Power management

• Digital vs Analogue Power Supplies - Finding the right balance
• Understanding Power Supply Reliability
• Modern Power Supply System Design
• Isolation & Partial Discharge Testing of DC-DC Converters for Gate Drive Applications
• LED Lighting Power Supplies

Miguel Fernandez | Avnet EMEA
Too good to be true - the cost of counterfeit electronics and how to avoid them
The issue of counterfeit electronic components is one that has troubles the electronics industry - using them can have some major issues, everything from being removed from a preferred suppliers list to a reduction in quality.
Online - Effective Vector Network Analyzer Measurements
How to make effective VNA measurements at RF and microwave frequencies

More training courses

R&S Higher Order MIMO Testing
Rohde & Schwarz presents this authoritative whitepaper on higher order MIMO testing.

More whitepapers

##### Channels
Radio-Electronics.com is operated and owned by Adrio Communications Ltd and edited by Ian Poole. All information is © Adrio Communications Ltd and may not be copied except for individual personal use. This includes copying material in whatever form into website pages. While every effort is made to ensure the accuracy of the information on Radio-Electronics.com, no liability is accepted for any consequences of using it. This site uses cookies. By using this site, these terms including the use of cookies are accepted. More explanation can be found in our Privacy Policy