X201 Bluescreens on Win10 during battery usage

as I\`m dailydriving my X201 on Win10, I cant solve frequent bluescreens when Im using the battery. Mostly on AC power everthing works fine, it goes like this: I start the machine on battery only like when Im travelling, and when the OS loads, there is usually a bluescreen with different excuses like "System service exception" for example. After it reboots or I shut it down, the start a bit takes longer than before and it just works then, no further bluesceens most of the time. This happens on original and aftermarket batteries. Could it be an issue with the power management? I cant get over it that it does that everytime it boots from battery, but not from AC power and I would stick to the x201 for years if I can solve this issues, which also happens sometimes when coming back from sleep on battery. On AC power I do only have some rare bluescreens when Im in the OS and working, but not while booting. Please help me not to retire my machine yet :D