Thank you for your efforts.
The air exchange rates were calculated by the company Zehnder and set by a Stiebel Eltron technician. They are set as follows for us (all supply air values, the exhaust air is always 20-30m³ higher):
Level 1: 120m³/h (intended for night operation)
Level 2: 220m³/h (intended for daytime operation)
Level 3: 250m³/h (party level)
The filters are clean. They were vacuumed again by the technician during the adjustment and I just checked them.
I had the heat pump set to warm water generation only for several days to find out exactly what causes the noise development, heating or ventilation. Also, it was much too warm in our house, 22 - 23 degrees in the upper floor, although all thermostats on the entire upper floor were set to zero.
The hot water is set to 48 degrees, but the heat pump produces 50 degrees with this setting, as required by the drinking water regulation. That’s what the technician explained to me and that’s also what the heat pump indicates as the actual hot water temperature.
The base point and slope were also explained to me by the technician, but I would have to read up on them again ... I am too much of a layperson for that. However, I hardly believe that anything (regarding noise development) can be optimized there, since these values were also set by the technician.
At the moment, I can only imagine that the plumbing company installed something not quite correctly. On the other hand, that would also be the only thing the plumbing company would have done right at first attempt (gallows humor).
To clarify once again: standing in front of the system, it is really, really loud, also at the door it is clearly audible up to loud. In the living rooms (supply air) I hear the ventilation system very clearly, not loud, but clearly. It is simply an unpleasant background noise, it sounds like heating/ventilation/basement, a deep rumbling/humming ... simply unpleasant ... and the noise is simply carried throughout the whole house by the piping, especially into the living and bedroom. The heating noise does not come (only) through the ventilation pipes. It, in my estimation, somehow transmits to the walls, water pipes, lines – I cannot say, the noise is simply "there" in every room. I probably just have to live with it.
Best regards
A. Rösner