OK, now you're getting closer.
See the attached curve. A solar panel is both constant voltage (nearly vertical on the curve) and constant current (nearly horizontal on the curve). The MPPT (maximum power point transfer) is right at the knee, halfway between constant voltage and constant power.
A synchronous generator has a closed loop feedback loop that controls terminal voltage by adjustments in field voltage. Someone skilled in feedback control system design, could alter that loop to achieve goals other than constant voltage.
But I think the real issue is not that the inverter requires constant current, but that the inverter includes its own MPPT feedback loop expecting to control a solar panel. By far the simplest and cheapest thing you could do would be to turn off the MPPT feature of the inverter. Study of the owner's manual may reveal how to do it. If not, then I would call Yaskawa and ask to speak to an engineer and ask him how to make it work with the rectified output of a synchronous generator. On second thought, I would consult with the Yaskawa engineer in any case. He might be aware of opportunities and pitfalls that you need to know about.
My guess is that working with the inverter is far easier then redesigning the generator's voltage control.
By the way, do you have a CSA approved full wave 3 phase rectifier?