Meanwhile, back on planet Earth
To replace a 100MW coal plant with a 100MW solar farm is easy. But the 100MW solar farm only produces 100MW from 10am to 4pm. So, you really need 18 hours of energy storage or 1800MWs. This requires 4 100MW solar farms since 3 are just for charging the batteries.
Replacing 1 100MW Coal plant requires 4 100MW solar farms and 1800MW of energy storage.
If you want to have backup for rainy days replacing 1 100MW coal plant requires 4200MW of energy storage and 8 100MW solar farms.
Replacing 1 100MW Coal plant requires 4 100MW solar farms and 1800MW of energy storage.
If you want to have backup for rainy days replacing 1 100MW coal plant requires 4200MW of energy storage and 8 100MW solar farms."
It's actually much worse than that. Your math would be correct only if storage and removal of power with batteries was lossless. It is not. The most optimistic models are that you can only get ~80% of the energy you put in to come back out in the form of usable electricity.
So, if you put in 100MW of power, you'd return 80MW of power in an optimal situation. Your 4 100MW battery-storage banks would need to be 5 100MW banks. And, then that only applies if you have full-sun each and every day.
Because you don't know that the sun will shine every day, or that solar arrays will be generating peak power (which they don't on cloudy days), you need enough storage to potentially cover you for multiple days of no (or low) solar generation.
Another technology being studied is to make power-generating reservoirs (lakes), where your solar arrays power pumps that move water into a reservoir. When power is needed, it is released through hydro-generating turbines to make electricity, effectively "recycling" the water. Good luck with this too, as you're not going to move 100% of the water back upstream (so there's loss), and rivers that are capable of the volumes required for hydro-power are already used for that (but without the round-trip use). I can only imagine the greenies' heads exploding when they hear new reservoirs and new dams will be required.
Correct math. But nobody gets to hear that math. The-powers-that-be REFUSE to let that math be printed, be released on the news channels and even YouTube.