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OK I think I found the solution, if I leave the Wifi on all the time it will charge to full without problem.
So it's definitely not my N7's fault, there must be a bug in the Kitkat distribution.
I have the WiFi off most of the time and only turn it on for the occasional bits of browsing or copying files from my NAS. I find all three (!!!) of my N7s running Kitkat charge just fine.
I wonder if you have a rogue app that doesn't like the wireless being off and responds by keeping the tablet awake.