[uc_banana]

>Clearly my house can do that as my kettle is currently boiling and drawing 3kW alone.

Indeed. When people's kettle usage was much more synchronised (ie, when TV advert breaks were a shared experience by most people), they had to build a power station just to cover this scenario (Dinorwic pumped storage). "Power station" is also quite generous, as it is only storage, and therefore is a net loss to the power grid.

Even the most optimistic person has to admit that there's a limit to what can be done spread the additional load of 40 million EVs each needing to charge ~10kWh per day without grid upgrades and investment.

[midasuni]

Except the grid can cope with peak usage into peoples housing when the ovens are on etc.

Sure you may need some more power stations, but the actual capacity for the wires, substations etc can cope with the kettle at half time of the fa cup final situation, and thus can cope with charging 30 million vehicles.

[uc_banana]

>can cope with the kettle at half time of the fa cup final situation, and thus can cope with charging 30 million vehicles.

Not necessarily. At the scale of the national grid, a kettle is a very short-term load. I can't imagine that it would go well if 30 million homes decided to leave their ovens on all night.