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There is a working system commercially available in Germany, but it is pretty expensive [1]: Long-term energy storage with hydrogen, with 1-5x 300 kWh. Which allows for full electric independence (not including heating though).
Price: 85,000-125,000 €, minus government subsidies. [1] https://www.homepowersolutions.de/en/product/ |
Your energy consumption for heating might be ~ 3000 kWh/month during the winter months (Nov-Mar) for a moderately insulated house.
Assuming your PV produces only 10 % of the demand during these 5 months (so you have to rely on stored energy for the remaining 90 %) and your heat pump delivers a Coefficient of Performance of 3.5 then you'd need to store ~ 3900 kWh.
As to my back of envelope calculation, one standard 50 l bottle of hydrogen contains ~ 30 kWh worth of energy when filled at 200 bar.
So you'd need ~ 130 such standard bottles to store enough hydrogen.
That's quite a lot. But of course with a well insulated home, you'd maybe only need a third, so that'd be 3-4 bundles (with 12 bottles each).