preliminary price (incl. installation, registration of photovoltaic system, commissioning support): €15,653
A smaller battery should be included for that. Look around again.
In Bavaria, which is considered more expensive than MV, offers from a high-quality installation company were available with 10kWp, 8kW storage, fully installed under €20,000 incl. VAT.
For that, the electricity consumption is then 4-5 times as high (yes, photovoltaic electricity, but that also has to be taxed plus lost remuneration). Whether 2 hot water cycles a day are more harmful than 6 months of downtime with all the standing fluids is something I would also question.
Again, such a matter of belief. With the small system, the Renewable Energy Act surcharge is excluded (from 1.1. it is up to 30kWp instead of previously only 9.99). One can just calculate again roughly: Let’s calculate for 1 kW from the photovoltaic system 8 ct and a feed-in tariff of 9 ct. Then the heating element would have to pay off from the difference of 17 ct to the electricity tariff. If you want to assume the longer service life of the heat pump, you have to add another 5-10% of the heat pump costs. To add some estimated data, let’s assume that the photovoltaic system heats the hot water tank from surplus with 2 kWh/day on 150 days. Then we have 300 kWh per year times 15 years = 4500 kWh - times 10 ct difference = €450, plus the heat pump portion €500 and an acquisition price for the heating element of €700 - initially doesn’t look so good against €950 - but free is the good feeling of a higher and more environmentally friendly self-consumption rate. As always: by changing the assumptions, it gets better or worse.
For me, it’s not worth a thought game - the heating element goes into the hot water tank. Even if it should not pay off (which I do not believe), it has a positive effect. I have invested money more poorly before.