Ok, mabe this has already been covered but looking online...
According to the MAX BMW parts fische the part # for F800GS RR is BWM PN: 61 31 2 346 550 and that is the same as on the F800R, F800S, F800ST and post 2000 F650GS's as well.
shows that the BMW 61-31-2-346-550 = Shindengen SH 532B-12. Per that site the part fits Aprilia Leonardo 250/300 ST 99-05, MotÚ 650, Pegaso 650/3/IE 96-04, BMW F 650 GS/Dakar/CS/ST/Strada/Funduro 93-07.
Poking around the interwebz it seems the Shindengen SH532B-12 is very common on motorcycles. Also found out that Shindengen MOSFET R/R model numbers start with FH and the the thyristor/silcon controlled rectifiers start with SH.
This write up was a really informative read and explains why the SH RR's eventually will have problems and are not as good as the FH/MOSFET RR's.
MOSFET Regulator/Rectifiers - The Why & The How
So now I understand why the FH0012AA/0020AA FOSFET units are better than the stock SH units.
I also figured something else out. I came accross this site:
out of greece makes a replacement unit for the F650. According to the site that unit is also the same unit as used on the Suzuki DL650 Vstrom, Bandit 250/400, LS 650 Savage, and SV650/1000, the Aprilia Pegasso 650 (same bike as the BMW F650funduro), Aprilia Scarabeo, and Cagiva Canyon and Raptor models.
Now by cross referencing those bikes with electrosport it looks like the elctrosport model that will fit and work on our bike should be Part #: ESR124
. It won't be plug and play but it is spliceable and should have the right specs and mounting.