Maximal operational pressure of tantalum and electrolytic capacitors

This is said with significant caveats, but the only electrolytic capacitor options for a pressurized environment are ones with a solid electrolyte, so solid tantalum, tantalum polymer, or aluminum polymer capacitors.

Cornell Dublier, for example, specifically states that all of its aluminum electrolytic capacitors have an operational range of 1.5 atmospheres to 10,000 feet (source - page 9).

Aluminum electrolytic capacitors are not perfectly free of voids and their normal operation and initial anodizing ensure that there is a small amount of hydrogen gas already inside, straight from the factory. At modest pressures, any contaminants will be forced into the capacitor past its seals, potentially causing a short or altering the capacitance, and at higher pressures, they will simply get crushed inwards and guarantee a short-circuit failure mode.

Simply put, normal aluminum electrolytics are off the table entirely.

Now, this is where it gets tricky: when designing pressure tolerant electronics, for the most part, you are kind of on your own. What I mean by that is you are not going to find answers to questions like 'maximum operational pressure' of most components, even if you email the company. This is because such a niche is incredibly small and it is simply not worth the time and effort to test or qualify products under such unusual environmental circumstances.

There are a few (very few) companies that make a limited selection of high pressure-rated components like capacitors, some as high as 10,000 psi. These capacitors will be very expensive - I couldn't even find a price, you have to request a quote. If you have high enough volume, I would still expect them to cost well over $500-$1000 per capacitor. They're also huge, 50,000µF of tantalum capacitors, true 10,000 psi monsters. So actually finding pre-qualified parts that are practical is also, I would think, not a realistic option for you.

What this means is it is up to you to qualify components yourself. You have to use an educated decision and select a COTS capacitor, but no one can tell you for sure if it will work or how its properties or longevity will be effected in such an environment as yours. You have to test all of this yourself.

This is how most pressure-tolerant electronics have to be designed. You qualify the parts individually through your own testing, and then you further qualify the entire assembly together under testing, and then you either spend a lot of time and money required to get even a slight idea of the reliability or longevity of your set up, you you just hope for the best (and learn from what happens to the devices in the field - trial by fire if you will).

So you should also be keenly aware of what is at stake, and what the consequences would be if your board were to fail, and make sure that allowances are made so that, for example, no one's safety would be put at risk.

That said, for bulk electrolytic capacitance, solid tantalum capacitors would be your best bet for tolerating the pressure with minimal changes in performance.

Another option is to make sure you really need electrolytic capacitors at all. Ceramic capacitors rated for 10V and 100µF are readily available and not horribly expensive. This Murata capacitor is an option, for example. Just beware of the DC bias graph - most of the high capacity ceramic capacitors use dielectrics that exhibit the ferroelectric effect. Similar to ferromagnetic materials in the presence of a magnetic field, ferroelectric materials are analogous but for electric fields (and energy stored as an electric field is ultimately what the capacitor is ultimately storing). This means ceramic capacitors' effective capacitance drops under DC bias. So you would need to derate their capacitance and use more than one in parallel.

The gold standard in pressure-tolerant electronics has always been the polypropylene metal-film capacitor, but obviously these are much much too low value and simply not suited for any bulk-capacitance application. I thought I would note them here for completeness though.

In closing, aside from some fairly exotic high pressure, deap sea capacitors that are likely not practical for your application, the short answer to your question is that tantalum capacitors as well as most capacitors simply do not have a maximum operational pressure rating. Rating is emphasized on purpose here - do not mistake this to mean that they can operate at any pressure. They certainly have a maximum pressure they can be expected to operate at, but the rating itself simply will not exist.

Don't let all this discourage you, however. The pressures experienced by things like deep sea pressure tolerant electronics are much higher than 30 bar, and quality tantalum capacitors are the first choice here, and all of the purpose-made deep sea 10,000 PSI capacitors are likewise tantalum capacitors.

Just understand that the manufacturer is not at fault if or when the capacitors fail, and you still have to qualify them yourself. This doesn't just mean checking for failure, but making sure their various properties that are of importance to your circuit stay within acceptable levels.

Get some solid tantalum capacitors and test them yourself. You'll probably get it on the first try, but be prepared to try a few different brands or construction types.

Final notes: Other components can exhibit unexpected behavior in high pressure environments. Make sure you don't have anything that has a 'metal can' construction. One easy to overlook is quartz crystals - through hole or SMD, they have empty space inside the can and mechanical stress on the crystal will through the frequency way off, if it isn't simply destroyed.

Also, be wary of wet tantalum capacitors. You should avoid these. There is a common misconception that fluids are not compressible. This is simply not true - they're much harder to compress than gas but it is still compressible, as are solids. That's what bulk modulus is - the compressibility of a substance. Importantly, the difference in compressibility for liquids vs. solids is between 10-100, or 1 to 2 orders of magnitude. This means liquid will compress much more than solids, which would allow for potentially significant mechanical strain.

For water, it will compress by about 46.4ppm per atmosphere. So given volume of water will lose around 0.14% of its total volume if exposed to 30 bars of pressure. This won't make anything implode like a tin can, but for components with very brittle materials inside (like tantalum pentoxide), this could allow enough flex/strain to be worrisome. Solid electrolyte is what you want.

Your problem may be solved by choosing a better design that operates >> 1MHz thus using a film cap capable of choosing one for your harsh environment.

Here is a reference from NASA for cryogenic testing on caps.

For example, while polypropylene, polycarbonate, and mica capacitors showed excellent stability when tested at liquid nitrogen, the solid tantalum capacitor exhibited an increase in its dielectric loss at that temperature. Most of the EDL capacitors experienced no change with ageing but seemed not to function at the extreme temperature.

Here is my suggested list of possible caps

You can find your own design from 1.5 to 3MHz to meet your requirements with a good battery source and film caps.