This problem scares me a lot and it's very annoying.
Please help me.
Alberto.
ps. I apologise for my english

I'm experiencing the same thing. It all started when my character got stuck in a power armor and I ended up entering another power armor in a desperate attempt to maybe get unstuck from the first one. Ever since then the game assumes that I am wearing a power armor yet in 3rd person my character is shown wearing his regular minutemen outfit. Now I can't use my pip boy, I can't sprint, I can't use VATS, and I have no AP. I also noticed that when I enter a power armor and then exit my fusion core disappears, never to be found again. This bug is devastating for game play and makes the game unplayable. I've tried everything and from trying so many different things I now have no save points left from before this happened . I've emailed Berthesda support but they have been extremely unhelpful. Suggesting things like uninstalling my pip boy app from my mobile device when that is not at all the issue. I'm very upset about this and my only hope is that the next patch resolves this issue. If anyone has any practical suggestions on how to fix this that would be great!!!