You seem to be quoting positive EV articles, neither of which say what you are quoting.
I think he was referring to the previously provided link to the National Grid document looking into the future development of EV's and the effect on the electricity grid:
http://fes.nationalgrid.com/media/1281/forecourt-thoughts-v12.pdf
To quote from that document, the substation information is what I think is the major concern.
The amount of power that can be drawn from the electricity network is limited. These limitations will obviously differ at various points across the grid, from household through distribution networks to the transmission system. For this insight we will only consider, in detail, the ability of a household to charge a domestic vehicle.
The average household is supplied with single phase electricity and is fitted with a main fuse of 60 to 80 amps.
Using a 3.5 kW battery charger requires 16 amps. If one were to use an above average power charger, say 11 kW, this would require 48 amps. When using such a charger it would mean that you could not use other high demand electrical items (such as kettles, oven, and immersion heaters) without tripping the house’s 3 main fuse.
Using an 11 kW charger would take 6 hours to fully charge a Tesla Model S, which also has a 90 kWh battery, from the 25% full state.
If your house had fitted the maximum 100 amp main fuse then a more powerful 22 kW charger could be used. It would take only 3 hours to charge the battery (or 5 hours if the battery was completely flat); but all the other electrical equipment in the house would have to be turned off as the charger requires 96 amps.
In reality an 11 kW charger, with an above average main fuse, is likely to be a good compromise.
So the house electricity capability is one ‘pinch point’; unless the car is not used too much so the battery just needs ‘topping up’ and one is happy to trickle feed it each and every night.
Smart chargers are becoming common place and they will be the norm in the near future. These will help with spreading the demand away from peak times.
When large numbers of EVs need charging they will be one important part of the solution jigsaw.
Another ‘pinch point’ would be the substation and the peripheral routes and branches within a local distribution network.
Pilot projects, such as My Electric Avenue, were reporting potential issues at the distribution level. In one more extreme example they were identifying voltage issues when five 3.5 kW chargers were connected to a network cluster (with 134 dwellings) and were charging at the same time. The project concluded that across Britain 32% of low voltage circuits (312,000) will require reinforcing when 40% – 70% of customers have EV’s based on 3.5 kW chargers 2 .
These problems will only be exacerbated when 7 kW chargers are used. with a 90 kW battery to three-quarters charge.