Raining? My wall charger trips in the rain sometimes ... maybe yours / wiring / connectors has some issue (although "tripping" seems most likely outcome I suppose its possible the car detected something it wasn't happy with, even though nothing tripped, and hence "Stopped charging"; a more instructive message, on dashboard, would be helpful
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Anything in e.g. TeslaFi? (Help : "RAW Data Feed" shows all the data the API captured minute-by-minute, so it will show you the Error Code the API received, and exactly what time that occurred). [PM me if you need a referral code - for a month free trial instead of 2 weeks]
PITA if you charge overnight and charging fails for any reason (including powercut). Last time mine tripped was on an overnight 100% charge in order to leave for Scotland at 5AM the following morning. Started the charge (overriding Scheduled Charge) before I went to bed to make sure nothing was wrong ... it tripped about an hour later
Had to take the ICE
Actually, I didn't have to take the ICE, I would have had to go to local Supercharger, 15 minutes out of my way, to charge for 20 minutes extra ... I decided to do that anyway and got a mile down the road when the TPS sprung into life telling me one of my tyres was at 50% pressure. Turned round and THEN took the ICE. When I got home and checked the tire sure enough there was a nail in there ...
Might be worth setting up a scheduled task, e.g. in TeslaFi, to alert you if charging fails (during the night)