Photovoltaic Consultation: 45° Gable Roof North/South

Battery probably makes sense at current prices, is there a magic limit for the price €/kWh and how large you size the battery?

Considering the economically ideal battery sizing without knowing the consumption profile is pure crystal ball gazing.

I don't know what it's called exactly, crippled hip roof? In any case, our east and west roof "start" higher up and therefore basically have no area, maybe for 1-2 modules.

Probably yes. But you've been here for a while and should know the value of illustrating questions.

There is no shade from trees or similar. The footprint of the house is 9.5m x 11.5m. The heat pump is installed, but there is no electric car yet. In the long term, however, there will be 2 electric cars in 3-7 years.
Regarding the description of the roof, I noticed that possibly 2 modules could be placed on the east and west sides; I will discuss this with companies if any are available.

I would leave out North, the roof is really quite steep and try to cover East and West as much as possible. Is it really exactly South or rather deviating? If deviating, then maybe provide it as a north-oriented site plan.

Draw your roof. It is best to take a tile and measure the coverage width and height. Then count. Then you can also see where windows, antenna are left out. Then take the dimensions of the modules and draw them on the roof. I come to about 26 modules in S roughly calculated. O+W only fits one module each, which gets complicated, I would leave it out. Do you still have a garage or CP?

At a 45° roof pitch, I only see the south as worthwhile,
east and west are too small and triangular,
north only brings something in midsummer, but south also has full performance then.
Then you can enjoy it from February to November