flogo The Thermal Territory Concept, part 2

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Figure 1
A component that has a large thermal territory may create difficulties in the layout phase.


Introduction

The essence of the thermal territory method is to assign an area around a component for its cooling. The size of this area, which here is called a territory, depends on many factors. The heat dissipated by the component is obviously the most essential one but properties such as the thermal conductivity of the PCB, the heat transfer coefficient and the available temperature difference are also very important.

This, the second article about the issue, brings up some typical applications. They are quite a few and several of them address problems that thermal designers face almost daily. The method therefore has somewhat of a working horse character. This does not mean that it always yields the answers wanted but it always clarify things and it often points in a direction where solutions can be found.

The thermal territory method is by its nature approximate and can therefore never replace more accurate calculations. As this article hopefully will show it is nevertheless both simple to apply and very valuable for front-end purposes. The latter aspect is very important, because it is in that phase that most critical decisions are taken.


Single component application

It is important to realise that the size of a thermal territory not only depends on the properties of the component. The sensitivity to other parameters, such as the local heat transfer coefficient, can therefore result in large size differences depending on where the component is placed on the PCB. Figure 1 basically shows that a component potentially could create layout problems if it is placed at the top of the PCB but that there is a much better chance of success if it is placed at the bottom.

When comparing these two placement options it could also be of interest to note that the top placement dissipates 20% more of its heat through the PCB but has a thermal territory size that is 200% larger than for the bottom placement! The non-linear character of thermal territory method essentially causes this effect. The reverse side of this tendency is that only a modest increase of the allowed temperature difference is needed to radically decrease the territory for the top component. The method therefore has a tendency to exaggerate differences. This is both an advantage and a disadvantage but it is nevertheless something important to be aware of.

Even thought a thermal territory assessment only is a first design approach, it does provide very helpful information. A straightforward use would be to estimate if the size of the territory could be handled in the layout process. Applied front-end design is however rarely that simple. The input data is in most cases only preliminary and sometimes even based on pure guesses. There are also often several alternatives to examine. The most frequent use of the method is therefore as help for PCB designers to focus on potential problems. They might be real but they might also merely be the effect of poor input data quality.

Large thermal territories are in the initial design phase often caused by too conservative heat dissipation estimations. Excesses on the 30% level are common and factor 2 errors appear occasionally. Discrepancies on that level will of coarse have a radical impact. The temperature criterion can have a similar effect. Another important concern is the quality of the thermal component model and not the least the thermal resistance between the pads of the component and the inner layers of the PCB.

A typical characteristic for applications in this design phase is therefore not that the territories are calculated once and for all. They are rather re-assessed over and over again with different input data. This nature of things requires the software tool used must be smooth, fast and have the ability to create overview diagrams. Used in this way the method definitely has an important role to play between crude rules of the type "no more than XXX W on any component that is smaller than XXxXX mm", which often are found in design guidelines and accurate finite element calculations.



Figure 2
A heat sink can decrease the thermal territory size radically. This type of calculation also estimates the proportion of the heat that is absorbed by the PCB.



Heat sink application

A heat sink is a device that usually increases the component-to-air heat dissipation radically, particularly if the air velocity is above 0.5 m/s. This fact must therefore also have an impact on the thermal territory size, which also is the case, figure 2.

A very frequent question to thermal experts is to what extent the PCB con-tributes to the total heat dissipation when a heat sink is used. It is true that there is no exact answer to this question until the total layout environment is known. The thermal territory method can however always provide a good estimation.

A key issue in this context are the temperatures that can be allowed on the chip and on the PCB. There are arguments that limit both of these. It is evident that the chip temperature not can exceed the safe function limit. It is equally evident that the PCB temperature not can exceed a certain limit because that would jeopardise the safe function of the surrounding components, particularly the passive ones. Whether the actual temperature limit is set by the chip or by the PCB depends on the circumstances. The thermal territory method can nevertheless be used for both cases.

This type of application is very convenient for component manufacturers that need to know if a component requires a heat sink or not. If so, they also need to know for what circumstances. Not knowing the environment is of coarse always a great handicap for these considerations. They must therefore cover a multitude of options and also endure the fact that there always will be grey zones. The thermal territory method is ideal for exposing this complexity. Alternative methods are in this case neither more accurate nor smoother.

Another typical application is custom circuit design. If the package used not can be combined with a heat sink and if the heat dissipation is on a critical level, there are great risks involved, see: Not a success story.



Figure 3
The thermal territory method can be used for PCB level estimates once a component list is available.



Front-end application

The method can also be use for estimates on the PCB level. In the simplest case this can be done on the bases of a component list, figure 3. The idea is to compare the sum of all thermal territories with the surface of the PCB. The method is of coarse crude but it serves well as a first feasibility indicator. The rule of thumb is that cover ratios below 50% definitely are manageable and that ratios above 70% create great difficulties. For PCBs that tend to have a few domination heat sources, for example power applications, it is recommendable to decrease these limits by 10%.

An alternative to thermal territory method is the cooling efficiency method. This method is PCB oriented as oppose to the thermal territory method, which is component oriented. The two methods are complementary. If the heat source distribution is fairly uniform they will essentially create the same result but the advantage with the thermal territory method is that it is more sensitive to PCBs with hot spots.



Figure 4
A layout example before and after improvement.



Layout application

Figure 4 shows an example of how easy it is to make a thermal improvement of a layout when the thermal territories are visible. The cover ratio was in this case initially 70% but since some of the components in the improved layout were pushed towards the air inlet, the cover ratio for the latter decreased to 68%. The changes were made disregarding all layout restrictions and would probably not be possible for an applied case.

To use the thermal territory method in the layout phase usually results in considerable timesavings. Conventional methods, that are based on the idea of "make changes and calculate", are much slower. The economical aspect of this difference should not be neglected. If one hour of work time can be saved every week it can be estimated that the pay back time for a program that can handle thermal territories is well below the 3 year limit that usually is regarded as the attractive investment horizon.

The example shown is somewhat exceptional in the sense that the improved layout has no thermal territory overlapping. In most cases this is not possible. When overlapping does occur it is however important to ensure that the territories have free spaces around them in some other direction.

Overlapping of thermal territories tend to become increasingly common in modern electronics. The reason is that component-to-component communications both has a tendency to be made with an increasing number of connectors and at a higher signal frequency. The general remedy for both these complications is to place the components closer together. A situation in which the thermal territory method needs to be applicable not only for single components but also for groups of components is therefore fast approaching. This is both a theoretical and a numerical challenge. How should these kinds of territories be defined and how should they be calculated?


Figure 5
The thermal territory method is not exact. There will always be an accuracy problem when two territories of different size meet.


Another layout related problem is that the method not is exact. Each thermal territory has by definition adiabatic borders, which of course is a simplification of the actual conditions on a PCB. When two territories meet there will consequently always be an accuracy problem, figure 5. This discrepancy has a tendency to increases with the thermal territory size difference. The same phenomenon appears if the territories have been calculated with different temperature criterions. It can therefore be concluded that the method works best on territories that roughly have the same size and the same temperature criterion.

This is one of the reasons why the method not should be overdone. To spend hours on trying to place all thermal territories exactly edge to edge might not be particularly rewarding. The method is therefore at its best when it is used for a coarse first layout attempt. Fine-tuning is better done with other means.


Conclusions

The thermal territory method can be used to indicate if thermal problems can be expected on the individual component level.

The method can be used to approximately expose the impact of a heat sink even if the layout environment not is known.

A procedure that compares the sum of all thermal territories with the size of the PCB can considerably improve front-end thermal design estimates.

The method is ideal for creating a first layout attempt.

Ake Malhammar