I don't mean operating continuously. Check my math:
My car can do about 800 highway km on a tank. Lets say you can fill 1 car every 10 minutes, that's 4800 km, call it 5000 km worth of energy dispensed per hour.
A Tesla supposedly uses approximately 20 kw/h per 100km so 5000 / 100 * 20 = 1000 KWh or 1 MWh per hour = 1 MW equivalent. I think I estimated 10 cars/hour and a more efficient car when I did the original calculation, but that is the order of magnitude.
I was prompted to think about it when we passed service stations on the Hume at Easter with queues of cars at every pump. Sure you can charge at home off peak most of the time, but it's the peak capacity when everyone wants to travel on a holiday weekend that poses the problem.
Don't get me wrong, I want an electric car ASAP and I know we have to go that way, but we also need to understand the obstacles we have to overcome. I don't believe we are going to get there by waiting for the market to move. Car makers and buyers will wait until the infrastructure exists, and infrastructure builders will wait till the demand exists.