Simple question, simple answer please
 

I've searched the whole internet, but have found no answer:
Simple serial Diesel-turbo-charged-car 80KW, chiptuned to 96 KW.
Does a Water-Methanol-Injection increase the Power? No manual correction after WI!
If yes, to what amount and why?
Does the Computer recognizes the WI and does it compensate for more power?
If yes how, if not why not?

I'll try to answer your simple question.
Yes water methanol injection will increase your power.

The other questions are not really something most people can answer. If they could they would need a lot more detail information on your car and how you installed your water injection system.