this seems to be a common issue with the early generator X1. I have an X1 3443 carbon model and have been seeing this issue periodically for years. the conventional wisdom is that you need to replace the power port adapter (Lenovo part Misc Base Kit FRU part# 04W3914). the item is touched on in the Lenovo forum - link below. since I see this issue infrequently, I'm only now trying to replace this component. https://forums.lenovo.com/t5/ThinkPad-X-Series-Laptops/X1-Carbon-Broken-Charge-Connector-Port/td-p/1358631