Rail guns and emag guns for next gen tanks are driving compulsator work. Self excited, something on the order or MA is achievable. Heating is an issue. IEEE is where i have found the literature. Don’t want to sound too harsh, but a patent on inductive energy storage for a arc is ridiculous.
Energy density is not really the problem, but switches are and physically large caps means its hard to keep inductance down without going to a 2 stage design or whatever.
Personally I see a commercial plant going for LVA, since they can be designed to add in both voltage and current.