For capacitors equivalent to a 50Ah battery at 48V it would need a rating of 3750Farads. The big ones seen in knobs cars are typically 1-2 farads.
Also, Unlike Lipos which are pretty good at holding their voltage, capacitors voltage drops over time, so your power will drop over time, so you would need more capacity to compensate for this.
Capacitors aren't good for storing power. They are only good for releasing their stored power very quickly (over a few seconds).
They would make a good EMP when you have a dodgy landing.
Your generator:
1kw @ 240v = 4.16Amps. 1kw = 1.35hp.
If you used a transformer or different generator coil config to get this to 50v you would get 20Amps, still 1kw (1.35hp). Power out always equals power in minus inefficiencies.
The best working hybrid is the Lotus Evora 414E. It uses a 1.2l 48hp engine to top up the batteries. extending the range from 30 to 300miles. This engine is developed to work efficiently at a fixed rpm. Even so this still works out at 40mpg. not great.
The range extender in the Vaxhall Ampera is a 1.4l engine. So to get the range extenders to work in the real world they need to be nearly equivalent capacity to the normal engine you would expect anyway.
http://www.pistonheads.com/news/default.asp?storyId=26527