THD is one issues, Frequency Float is yet another. 60Hz will allow for 3hz in either direction, beyond that and weirdness happens. I would assume it is similar on 50Hz based systems. I have for a few years used a Champion 7200/9000 Construction genset to charge through the Samlex EVO which is a pretty advanced Inverter System and highly programmable and it required a fair bit of "Futsing" to get it all to behave. Not all pleasant either.
Past 3 charge events using that Genset (has over 2000 hours but exceedingly well cared for) it's gotten tired and when it starts to stress (when batts reach full) it starts to go out of phase and not nicely and the Inverter disconnects it HARD and that 50/50 will trip the Generator to shut down.
I have bought & used a King Canada 3kw Inverter Genset to charge batts but also for my lighter construction work... it survined 250 hours before it's FETS cooked, Replaceemnt electronic cost more than teh genny and not available either... CRAP. Bought an Energizer Inverter Gen 3kw, BEFORE I realized they have NOTHING to do with Energizer Battery Co and it is a cheapo junker, lasted 2 weeks with BASICS and the Inverter fried, all replaced under warranty but not right, it is junk.... One company imports all sorts of JUNK and puts labels on them that makes folks think there is a Real Brand behind it. The Company importing these is "
Midland Power Inc"
AVOID !!
This morning my Big Old Genny decided it had enough.... Being a Champion and like many other Champion Power Tools & Equipment I have and had, they have always lived up to what they are supposed to be, so I went out and bought a Champion 4650W Inverter Generator and it's running now outputting 2250W on the 120VAC/30A L5:30 line to charge my bank at 24V/75A which is only pulling 2250W. Working beautifully.
This is the Model I bought:
https://www.championpowerequipment.com/product/201053-4500-watt-inverter/
They also have a Dual Fuel GAS/LPG model available in both Canada & US as well.
Again, I have to say, I have Never had issues with Champion Power Equipment and I started using their stuff in the 1990's. This is my first Inverter Genny from them (would have bought before the King & Energizer junkers but were not available then) and given the reliability of the other stuff I have no fears or worries. It even has a really sweet drainline for oil changes. There is some well thought out designs in this.
Hope that helps some folks. Good Luck.