Ron, some remarks on your calculations:
- Current transport losses of electricity are around 10 - 15%.
- In France almost every household uses only electricity, also in winter, produced by nuclear power plants. Heating a house in winter by solely electricity will likely have a very heavy load to their grids. Adding battery powered cars will thus be an even bigger challenge for France with regards to infrastructure.
- The netto efficiency of electrical powered cars is much lower since currently most electricity to charge the batteries comes from energy plants that still use fossil fuels. On the longer term this will be supplied by (local) solar and wind however.
- Smart(er) grids and applications will smooth out peak demand. There are a lot of developments ongoing right now in this area.
In general I agree with you. In particular in winter, e.g. the north of Europe requires a huge over capacity of wind powered sources that is not required during summer. On the medium term this is only possible by additional nuclear power plants.
Another calculation to point out some details:
My personal household on average consumes 2400 KWh on electricity and 1200 m3 of natural gas yearly.
1200 m3 equals roughly 12000 KWh and is mainly consumed between November and March during winter. This means power consumption in winter is roughly 10 times that of summer due to heating the house. This will vary over different geographical locations of course.