^^ yep, take it easy YB100 sahab,
your explanations are correct, and the original poster is a little in the dark. And as you can see in one of his posts - the alternator spins at 1500 rpm to out 50Hz, meaning its a quad pole. IMO the choice of using a 2SZ is good, but there are some other factors to take care of.
If this ECU does not see a VSS signal for about 240 seconds afterwards above idle speed the engine will go into limp mode and also into overfuelling mode. Its a car engine and the ECU is very smart too, unlike the older OBD-0 gonnga behra ECU that did not care until some paramenters were called for.
anyways to the OP - you cannot change the transmission frequency by any sort of home stabiliser, it can only manipulate voltage like Mr YB100 says. The frequency of voltage is dictated by the alternator itself.
btw to fully understand the concept, open up a junk car alternator and thoroughly study its design, I taught my neighbors son matric physics electrics through it, and he got that concept burned into his brain now.
A car alternator is basically a 3 phase AC voltage generator but with a diode pack to block the inverse waves hence converting the output to DC voltage, the voltage regulator excites/unexcites the unit to vary output current. (LOAD)
btw using under and overfrequency relays does not make full sense here. Or you are not explaining why you used them.