If you've eliminated the obvious (inadequate or loose grounds, etc..) then your electronics are simply drawing way too much power.
That's about all my small brain will allow me to internet diagnose this. Best of luck with the fixes bonhamsurf. You're in uncharted territory when you try to make a 1000hp engine built for 270hp, a daily driver.
You can try to contact Danny in Las Vegas. He's got the only 1000hp (but his was WHP) I know of. He pretty much had to redo EVERYTHING on his setup.
Thanks for the suggestion, what's Danny's Prime name?
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I am going to stick with my original observation that heat is the cause of the problem; however, its may be a combination of external heat from higher underhood temperatures plus internal heating of the alternator. If you look at modern alternators, they are much smaller than the alternators from 30 years ago. As an electrical engineer, I can tell you that there is no magic involved. They increase the wiring gauge to handle larger currents, increased the speed to make up for the fact that they have space for fewer wiring turns because they had to make room for larger diameter wire and reduced the amount of iron in the frame to make room for more wire.
A modern, compact 120 amp alternator will put out 120 amps; but, unlike an older 35 amp alternator, don't ask it to put out 120 amps on a continuous basis. The internal heating from continuously high current loading is probably cooking your alternator. Without going out to the garage to look at mine, I can't remember whether it has an internal or external fan. Since you are likely loading the nuts out of your alternator, you need to make sure that it is getting a good supply of cooling air. However, I expect the reality is that you will need to explore a much larger alternator if you are going to retain all the stuff that you have added to the car. I recommend against trying to upgrade the existing alternator as jamming larger diameter wire into the frame and turning it at a higher speed is just going to create heating problems. Go for an alternator with a higher current rating that is physically larger. I recognize that this may cause fitment issues.
There is nowhere near 100 or 120 amps of continuous current load in a stock NSX. Honda sized the OEM alternator to provide a reasonably long life with the typical electrical loads in the car. Significantly increasing the steady electrical load in the car is going to shorten the life of the alternator.
I agree, I think it's overloaded. I am going to see if my local re-builder can make a 200amp alternator for the car.