Unless the generator is a very rare inverter/generator with a MSW inverter you have a sine wave generator. The common generator produces a natural sine wave same as a monster power plant. While there could be some distortion depending on the reactance of the load and voltage regulation I don't see that you will have any troubles.
1 bar lost at 21,451 miles, 16 months.
2 bar lost at 35,339 miles, 25 months.
LEAF traded at 45,400 miles for a RAV4-EV