Without exact crash info nobody can tell you much. Dig into your event viewer and find the relevant sections or go even deeper and fish out Windows' debug logs. It may also help to run a tool like Sysinternals' Process Explorer to get an idea what function calls and drivers cause the crash.
I've had the exact same problem: I use a HP Zbook 14u G6, and for about the last year, any time I use Adobe Premiere, After Effects or Photoshop I immediately get the Blue Screen of Death UNLESS the laptop is connected to the mains, in which case all is well.
I tried updating drivers many times, to no effect.