HPS system - picea as a source of electricity and heat?

Not really... Brown coal power plants nowadays have an efficiency of up to 43% (Quelle: DEBRIV).

So if this plant is installed in the house, it is roughly equivalent to having your own brown coal power plant in terms of efficiency. Whether that is good or not, everyone can form their own opinion.

Including the extraction of lignite and the production and removal of lunar landscapes, it will probably be a little worse. Roughly, 20% of the energy from lignite comes from the household power outlet, but it doesn't matter. In 5-10 years, Picea systems will be hyped just like heat pumps are now, to build calculated passive houses.

In 5-10 years, Picea systems will be hyped just like heat pumps are now,

Add another zero and it becomes more plausible. The use of hydrogen and fuel cells for the average consumer was already the big thing in the 90s. Unfortunately, not much came of it.

With Anna-Lena it's faster, OMG

Hydrogen use and fuel cells for the average consumer were already the big thing in the 90s. Unfortunately, not much has come of it

Some things just need their time. After the dotcom bubble, many also said: Shopping on the internet didn’t work before either.

The efficiency of producing hydrogen from electricity is under 20%. A battery stores over 90% of the electricity.

Work is still being done on the efficiency of hydrogen energy use. The energy density is high and the storage possibilities as well – here the battery is at a disadvantage. Of course, work is also ongoing on batteries.
What needs to be solved are the issues of climate-friendly long-term storage and high climate-friendly mobile energy capacity. Therefore, it makes no sense to pit systems with different objectives against each other. We simply need to get away from this crap, gladly also with several technologies.
First movers help development, so I think it’s good if people enjoy it and invest.

The topic of decentralized storage is quite interesting, as it is fundamentally desirable to store close to both the producer and the consumer.

The storage capacity is too small for a single-family house to roughly cover the season. You will still have to buy a lot during the heating period. And no, on bad days in winter, you do not get 3-9 kWP from the roof, but 0.0.

Assume that the bank will not support this experiment.