Wow. I'm glad I'm not the only one whos been going through this. Kind of makes me wish I did some investigating before I had bought this product.
For the past 5 months, I've had to do a strange ritual when plugging in my charger.
First I would unplug the cord that plugs into the socket from the base converter box.
I wait at least 10 seconds before plugging it back in.
then I plug into the electrical socket.
Last I plug the magnetic attachment into the Surface very slowly.
This ritual worked 95% of the time. I knew because the light would turn on.
If not, I would repeat it again, and it usually worked the second time around.
Just today it wouldn't charge, no matter how many times I did the ritual.
Thus I quickly searched hoping to find some answers before my surface pro dies.
But I'd like to say that I it's now charging again.
I followed what the first comment by microsoft and used a cloth to wipe the magnetic connector, then it worked immediately!
But I also purchased the after market adaptor on amazon as a previous poster suggested so now waiting for that one to see how it works!
I've been having this same problem with my charger, this ritual seems to work though, most helpful comment so far (no thanks to microsoft)!