Your car is doing it everyday.
Now, it depends on how close to the max normal running capasity you are running your generator and how much draw the charging of the battery would have on it.
IE: You don't want the generator to be over the max "Operating" level.
Notice I said "Operating" level.
EXAMPLE: A 2000watt generator has aprox 1650watt "Operating" level. run it over that and it will not last long.
All generators are this way. So if you buy a 5500watt generator it will not put that out on a steady rate.
So the answer to your question needs some math work done.
Now, it depends on how close to the max normal running capasity you are running your generator and how much draw the charging of the battery would have on it.
IE: You don't want the generator to be over the max "Operating" level.
Notice I said "Operating" level.
EXAMPLE: A 2000watt generator has aprox 1650watt "Operating" level. run it over that and it will not last long.
All generators are this way. So if you buy a 5500watt generator it will not put that out on a steady rate.
So the answer to your question needs some math work done.