I don't understand your entire percentage calculation...
A photovoltaic system does not produce 10 - 30 percent in December/January as some ignorant people here claim. That is completely unrealistic.
30% of what? And who claims that? My yield forecast assumes 1.7% in December and 2.5% in January. Of course, this is based on the annual production. The expectation assumes that the modules are not covered, so snow periods are excluded. My real values are listed above, anyone can calculate it, though it is of little use, because, as I said, the winter weather strongly influences this. I also have never seen anyone claim to be completely self-sufficient with a heat pump in winter. But having or buying 400 kWh per month is also a contribution to the bigger picture.
My system produced about 700 kWh of electricity in August 2022. In December 2023, which is ending today, it was only 30 kWh (4%).
Whatever 4% means to you. 4% of August? What kind of calculation is that when everyone knows August is not the highest-yielding month.
No matter how big the system is, more than 5 percent of the nominal power does not come out.
That is complete nonsense. In good weather, I easily have >20% in December, and I don't even have a south-facing system, and part of the area is shaded until noon. I can gladly provide logged data on that.
With snow or frost on the system, nothing works.
That has long been disproven as well. Frost almost doesn't matter, a thin layer of snow up to about 1 cm still works quite well, then it drops off.
The main thing is to just claim something...