I'm looking at a number of thyristors (for example, this N2593MK160). Each has a critical rate of rise of on-state current. This limitation surprised me; I don't understand why the derivative of current would matter. Isn't it the excess heat that damages parts? And isn't that strictly determined by the current, not the rate of change of current?
But that's really a side question. My real question is, how important is it that I stay in that limit? Is the 300 A/μs an instantaneous limit, or a limit on the average over any microsecond? In my application I'm expecting 12000 A/μs at it's peak (though I don't know how long that will last, whether less or more than a microsecond. I suppose if it's longer than a microsecond, my question is answered, since either way I'm way out of spec).
The highest on-state current thyristors on Mouser all have critical rate of rise of currents orders of magnitude lower than what I'm expecting in my application.
EDIT: I didn't expect this to have such relevance, but I see why it does now. I'm trying to build a linear motor. I want it to be "low voltage" (200v), because it freaks my wife out to have an 800v .1 farad capacitor. (to be honest it freaks me out too). Low voltage means I need low resistance to get the power I need. Low resistance means I need thick guage wires in the inductor surrounding the rails (I'm thinking a quarter inch). I'm hoping this thing isn't massive both in volume and weight, so I don't want more than at tops 10 turns. the 12500 A/μs was based on 4 turns around the rails. at 15 turns it's 3300 A/μs, so I don't think it's likely I can solve this problem by adding turns to the inductor.
FINAL EDIT:
Disregard the estimates of dI/dt above. I have found my ODE solver has a massive error in it (or rather, there was a massive error in the ODE I gave the sovler). The comments were correct, my inductor will easily limit dI/dt to within spec. But I learned a lot through this mistake, so thanks everyone!