Those are the wrong units in two different ways at once.
KW = power, kWh = energy = integrated power over time
Batteries are reusable. I see claims varying from 2,000, to more than 10,000 times. That reduces the battery cost to between €0.0525 and €0.0105 / kWh.
If 1kWh of gas is 6 cents, and a 1kWh battery is $100 and lasts for 10,000 cycles, that puts the price of the battery at 1 cent/kWh plus the charging cost (2c/kWh for solar)
In addition, for Europe, the key part of removing Russia from the energy equation is worth a hell of a lot of money.
I hate to say it. I am not pro Russia at all, but its mainly the US who wants Russia to be removed so they can sell their goods to Europe. There no other reason. Luckily we see a larger movement of people recognizing this annoying behaviour of the US.
Unfortunately the math is meaningless if it takes 10 000 years to get those 10 000 cycles. Batteries are currently competitive for short response times and short cycles. As price declines they become become useful for longer cycles, but there will be a point beyond which we need alternative solutions, such as bulk storage/gas, long transmission lines, and/or demand management.
I expect most (but not all) of the batteries in a PV+battery grid would be cycled (to whatever depth) every day, giving them a ~27 year replacement cycle not too different from other power plants.
In principle I prefer antipodal transmission lines for the grid and batteries for transport — grid is cheaper and a trade opportunity — but at global scale, such a grid will take a while to build.
I can follow that, but isn't this problematic when there is a power needed when there is no wind/solar available for recharging and you still need more?
e.g. we would need a much larger energy storage, than for gas?
Germany currently generates 50TWh per year of solar
On average that's 136GWh per day, lets assume that was spread so that it's say 36GWh per day in winter and far more in summer.
It consumes 500TWh a year.
Lets assume consumption is 1,400GWh per day evenly across the year. Consumption is higher in the day, so even with shorter days in winter lets make that half during daylight and half at night, 700GWh each.
If Germany increased its solar to 50 times as much as it currently has to generate 1800GWh a day in winter, it would require 700GWh of storage and a total of 1400GWh during the day.
There are 48 million cars in Germany, lets assume that 65% of them are parked overnight and connected to the electric grid, making it 30 million cars. Make them all electric, with with about 30kWh of "flexible" capacity for draining overnight (50% capacity) and filling up in the day per car. That's about 1,000 GWh of storage available overnight, enough to provide for the entirety of German electric consumption overnight.
During the summer when solar capacity would be three times as much, that excess capacity could be used to generate green hydrogen through electrolosis, used to do things like aluminium production, could be exported to neighbouring countries.
Now sure switching cars to fully electric would increase total usage of energy, about 2,000 kWh per car per year, say 100 TWh a year extra, but then there's a lot of wind generation in Germany (>100TWh) now which would offset that.
KW = power, kWh = energy = integrated power over time
Batteries are reusable. I see claims varying from 2,000, to more than 10,000 times. That reduces the battery cost to between €0.0525 and €0.0105 / kWh.