Ok, well let's go through each one then. A lack of research, or method to do same, seems relevant, so let's take that direction.
An SMAJ would probably be fine for the TVS, to handle hot-plug inrush, if electrolytic caps aren't doing it already; and no TVS might be required at all for lower level (say, 500V 20Ω+) IEC 61000-4-5 surges, if already handled by same. ISO 7637-2 pulses 1 and 2a would probably want an SMCJ or better, and, a simple test model can be set up to show which size diode is required.
Keywords keywords keywords; let's go through them one at a time, I suppose.
You did say you don't know any of it! I'm probably taking this too literally, but this too is a good lesson to be precise: if you say "not anything", I can only assume you literally don't know anything [of these].
So, let's see what's in here...
SMAJ:Top links: Littelfuse datasheet, product page. Also results: abbreviations (one with different capitalization, ignore that; one with medical scope, ignore that too), hits from Bourns, Diodes Inc., more suppliers, an Amphenol RF adaptor (SMA is also a type of coaxial connector, and a shorthand name for the DO-214AC SMT package hence the SMAJ family being that style), etc.
Looks like a TVS (transient voltage suppressor).
TVS:
Well, I just gave the abbreviation. You can search if you like. The most common type is based on the zener diode, mostly just a big enough die to handle desired peak power, and maybe some process optimizations to ensure handling the peak current.
There are other types of transient suppressors: snapback diodes (for low voltages), SIDACs (mainly for signal line surge, esp. analog phone line), and non-silicon types like MOVs (most often, mains surge), spark gaps (various), and more.
You may find old databooks a valuable collection of information. Motorola's appnotes are quite good:
Full download:
http://bitsavers.trailing-edge.com/components/motorola/_dataBooks/1991_Motorola_TVS_Zener_Device_Data.pdfarchive.org:
https://archive.org/details/bitsavers_motoroladaTVSZenerDeviceData_27981216TVS diodes haven't changed since then, they're based on the same old technology and don't have much room to optimize. Mainly they're in all manner of SMT packages and arrays, and the chip size per package is what's improved (so a SOD-123F like SMF4L can handle as much power as used to require an SMA).
Since this type of TVS diode is based on zeners, all the information about zeners is relevant; given that TVS are generally looser tolerance (5 or 10%). Conversely, zeners can be expected to handle some amount of peak power, at least assuming they don't fail sooner due to manufacturing defects -- if they're not rated for it, you don't know for sure, and that's the main distinction between zener and TVS product lines.
As you can see from the section discussing pulse ratings of zeners, Motorola at least was aware of this potential application and did some testing on their zener parts. (Relevant Motorola products are now under the NXP and WeEn names.)
hot plug inrush:ADI article on hot-swap circuits. They make parts to handle this condition automatically, so it's quite beneficial for them that they have such a high PageRank here. Ditto TI and STM.
Some results from Stack. We can apply the critical review process recursively here; note that Stack answers are entirely volunteer generated, so they tend to be poor quality on average, and popularity-based scoring (upvote system) is a measure of popularity, not technical accuracy or depth.
This one for example,
https://electronics.stackexchange.com/questions/340202/why-does-hot-plugging-blow-stuff-up-and-how-to-prevent-it more or less introduces the idea, though Voltage Spike's plots are a bit erroneous (the voltage has to peak later than the current, in the "too low" case).
This one stops short of demonstrating an explanation,
https://electronics.stackexchange.com/questions/545179/hot-plugging-power-kills-switch-mode-converter, but the reference goes on to:
https://www.analog.com/media/en/technical-documentation/application-notes/an88f.pdfetc.
electrolytic cap...An electrolytic capacitor.
Perhaps combining with the above would be relevant, e.g.
https://www.google.com/search?q=inrush+surge+electrolytic+capacitorResults about inrush current, makes sense. Oh hello there EEVblog forum results.
Sometimes the inrush current itself is the problem (sparking of switches, connectors; destruction of transistors). Others it's the voltage (as in the AN88 above). Adding "damping" to the search we find a top hit,
https://recom-power.com/en/rec-n-inrush-current--a-guide-to-the-essentials-119.html?0IEC 61000-4-5 surgeWikipedia: "IEC 61000-4-5 is an international standard by the International Electrotechnical Commission on surge immunity"
So of course, download links straight from the horse's mouth, which are rather expensive of course. With some additional prodding, you likely can find "free" copies of it anyway. Being a standard, the language is of course rather thick, opaque; but it is specific, and this one has fairly limited scope.
This hit is an alright introduction:
https://www.emcstandards.co.uk/files/61000-4-5_immunity_to_surges.pdfHmm, there used to be a high-PageRank-ing appnote from ST, not sure why it doesn't... oh, it's not served from them for some reason, but it is in fact showing in the list,
https://emcfastpass.com/wp-content/uploads/2017/04/surge_overview.pdfThe basic building block is the 8/20 / 1.2/50 µs "combined" wave generator, an RLC network that delivers a surge wave of such timing depending on the load (short/open circuit). The basic source impedance is 2 ohms (Vpk(oc) / Ipk(sc), not a true impedance but good enough of a hand-wave for the purpose). So a surge of say 1kV is understandably quite a wallop (500A peak).
When I say "20Ω+", there are other standards which use the same generator but connect a resistor in series to increase its impedance. Which will put the waveform closer to 1.2/50, but they may still call it "8/20" as a type rating rather than a descriptive one (i.e. what the exact waveform was under test). This is common on long distance data lines, telecom, etc., basically the resistance represents the resistance of a long run of cable (various IEC, ITU, ANSI, etc. standards I don't have offhand); on railway standards such as EN 50121-3 where the surge is expected to have lighter severity; and many others.
I'm not actually sure, but I assume this is also how TVS diodes are rated for such specific currents; that, or varying the generator's voltage output, but the standard only prescribes specific voltage options and one may have to interpolate between them anyway (using resistors), if the equipment doesn't provide continuously variable output by itself. I've not rented/operated a generator before so I don't know what's typical.
ISO 7637-2 pulsesAnother standard. ISO, ANSI, IEC, EN, BS, ITU, etc. are all industry or government standards associations. This one specifically concerns automotive use, where inductive switching transients, contact bounce and alternator load dump can all create notable changes or excursions on the supply.
Top hit: ADI article giving LTspice models. Nice.
Links to buy the standards.
Test houses advertising capability.
Appnotes describing it.
Critical review exercise: spot the differences between appnotes and other resources, and see which ones are missing what points.
Appnotes in general are awful, so it can be a good exercise to read them carefully and figure out what's just flat-out wrong, and what's been omitted. Comparing to the standard itself would be helpful of course, which, if you want to go down the rabbit hole, you can again probably find a copy of somewhere.
LTspice: a free circuit simulator. Download and install and give these a try, see what the waveforms actually are; add a load, see how they change, say with capacitor, LC filter, TVS, etc. loads. Even if you don't need these standards specifically, having example surge waveforms at all may prove illuminating.
SMCJ: SMC (DO-214AB) package TVS, you get the idea.
"simple test model": aha, we found this along the way. LTspice is an excellent way to test parts, given a suitable surge network / generator setup. Cross-referencing models and their measurements with standards is a good exercise.
Maybe I'm misunderstanding things then. At a constant drain-source of 80v, 9a, and an RDS(on) of 0.05ohm, wouldn't the FET only produce ~0.45w of heat? I'm not referring to the controller limiting gate-source voltage to increase the resistance of the FET.
Apply dimensional analysis: ohms times amps is volts. Volts times amps is watts. You need volts squared in there to get the power!
Tim