wallywombat:
If you make the rough assumptions that the total mileage of each household is 10,000 miles per year and that EVs do about 5 miles per kWh, then the existing domestic infrastructure can just about cope as long as cars are given a slow 7 hour-ish charge each night when the local network would otherwise be mostly unused. That works out at about 3.5A per house.
What about diversity? If everybody charges slowly at the same time, there is none; but if cars are charged quickly quite a lot of diversity could be applied. Granted we might all try to travel at the same time, but that doesn't mean that we would all plug in at the same time.
I don't know how far the average car commute is, but 20 miles is more than enough for me. That's 10 kWh (for both ways) or about an hour and a half on a 7 kW EVCP.
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