glhs272
Unnamed plug faced villian
Since a single residential unit has only 10kWh capacity, it can only add about 12 percentage points of charge to an 85kWh Model S. No supercharging with that!
The 10 kWh size seems a little light based on my cocktail-napkin analysis. If your daily solar matches your daily consumption, and your daily consumption is a typical 30 kWh (about average in the U.S., excluding EV usage), then you'll most likely max out your battery by early afternoon given the cooler AM temps and lower use of lights, cooking appliances, and entertainment systems in a typical household. 10 kWh does seem to be enough, though, to shift nearly all your grid electric use to midnight–6am, which is good for time-of-use rates.
Ok, some quick cocktail-napkin analysis. It takes about an hour to get a 0 to 80% supercharge. To get 80% capacity into a 60 battery, that would be about 44kWh=(.8 x 55kwh) [55kwh being usable capacity of the battery]. On a 85 battery 62kWh=(.8 x 78) [78kWh being usable capacity of an 85]. My designed system would include grid tied chargers (twin chargers) that would always put out a constant 20kW. So over the course of the supercharge, I would receive about 20kWh for that session from the grid directly. So, therefore the battery would only need to proved the remaining 24kwh for a 60 and 42kwh for a 85 kwh car. Therefore the ideal system would be a modular system with two battery choices, a 25kWh battery for owners of 60kWh cars and a 50kWh (think twin battery) for 85kWh car owners. This system would allow for an at home supercharger experience (0 to 80% anyway). After 80% the battery would no longer contribute and it would just run off the system's grid connected twin chargers, so the system would taper off to 20kw during the 80 to 100% charge. I wouldn't think that would be much of a problem anyway considering the car is already heavily tapering at that point anyway (especially a 60kWh car). Once the car unplugs from the supercharger, the system's twin chargers would recharge the house battery at 20kW using the grid (plus any available solar energy if equipped and available).
So there is my system. Consists of a 25 or 50 kWh battery, a dedicated 10kW grid to battery charger (or twin chargers for 20kW), an inverter to power house functions when not being used as a supercharger, optional solar connection, a DC to DC controller and a system controller. The system controller could be programed to administer the supercharge session, manage loads for the house power draw, manage battery recharge times for optimal TOU, and incorporate solar charging of the battery as well. This system could be used to store energy to reduce TOU charges, used as a supercharger when necessary, can provide solar to car charging, backup power in case of grid outage, and of course store unused solar energy. This system would still be using the grid.
Basically a lot like wk057's setup but with a lot smaller battery and the option to directly charge DC to DC.