Hydrogen can be stored underground (and is), just like natural gas. This is much cheaper per unit energy storage capacity than storing energy in batteries.
AFAIK H2 is way more difficult to contain than natural gas, as the molecules are so tiny. Very hard to build a container that doesn't continuously leak the gas.
Hydrogen has been stored underground in multiple places. This is not some speculative technology, it actually exists. The problem you describe is not a blocker. Granted, underground storage is at a larger scale than for an individual. Storing hydrogen in your home is probably not a good idea. Storing thermal energy underground, on the other hand, could make sense for seasonal storage. Ground source heat pumps essentially do that.
there is a short term battery based storage but the long term storage for the winter months is the h2 storage. I think the system is very expensive but a cool prove of concept and for sure a step in the right direction.
Do you have an idea of how much that system costs? I mean if you could pay 100k once and be free of all energy bills for the lifetime of the house/the system it could be quite a value proposition. May Putin, OPEC and the government do what they want - you just do your own power and heat, with no more middlemen.
