I just typed this up for another forum, so thought I'd post it here as well.
I'd have no problem charging another battery overnight, as I have an 8kW inverter, so in six hours could fully charge a 48 kWh battery in theory.
I currently have 29 kWh of batteries, about 26 kWh useable, so far over this winter with the heat pump I have run out five times, the earliest being 21:21, electric pulled from the grid on those five occasions cost £2.63, so an additional £2 (63p being what it would have cost off peak).
I've had one day where plugging the car in really saved the day, that was last Sunday, our eldest daughter came down the day before, so Sunday was full on Christmas dinner day, not to mention dishwasher, washing machine, tumble dryer and the heat pump using a total of 18.8 kWh (five hot water runs!).
I looked at the system at 13:10 and the battery was down to 21% SOC, I plugged the car in, which was at 60% and requested 40%. We got a session straight away until 13:30, that was extended until 14:30, we then had a couple of more sessions throughout the evening, end result was I got a low battery warning at 23:30, literally just before it was scheduled to start charging.
Now I could add another 16 kWh battery for between £1500 to £2000, but I really don't think it's worth it at the moment. I could earn roughly £300 a year arbitraging with the battery and the few quid it will save me over winter. Thats around 6 years to pay back, IF import/export tariffs don't change for the worse, which they likely will at some point.
Now we're in January solar is going to improve, generation will roughly be about 50% better than December, although the weather will likely be colder, it was -2c last night so the heat pump will use more, so I'm sure we'll have a few more days where the battery doesn't last, but cost wise it's not going to amount to much.