I did not know that a generator had a DC feed, mine does not, it does operate a PD9280 (my standby charger or my Xantrex inverter charger (3012) , but at any rate when the generator is charging through the onboard charger, the charger charging curve forces you to run your generator for 8 hours or more to achieve 100% charge. This is why solar works so well, it is constantly charging.
As Porthole and I have discussed in the past, there is but about 1.5 v. between a fully charged battery at 12.7 and a dead battery at 11.4. The idea is to push the battery to about 13.4 to maintain the max charge. All your battery capacity is represented in the voltage present between 12.7 and 11.4. You will have more capacity if you can push your batts to 13.4. These various dead and charged batteries come from different sources so its hard to be consistent without knowing exactly which batts are being used, but generally speaking I believe these comments to be on target as far as concept.
[SUB]On the chart on page 12[/SUB] of the Onan owners manual, Cummins has given an illustration of a 100 amp charger charging various amp hour battery banks from 0% charge which is 11v according to them.
http://www.westerncanada.cummins.com/LiteratureRetrieve.aspx?ID=100192
A typical onboard progressive charger PD9200 charging curves is shown on page 3 of this PDF
http://www.fishhousesupply.com/images/PD9200.pdf
As you can see charging from 10.5v takes an incredible amount of time. What makes solar desirable and the best charging method is that it provides power for the rig and charges simultaneously . if the rig exceeds the charging output the solar charger will be interrupted or continue it charging curve depending on how deeply the battery was discharged during the interruption.
In my case the Trojan T 1275 should only be charging from 12.1 volts (50% discharged) or so. My inverter is set to shut off at 11.9v and my auto gen start is set to start at 12v. With solar, I have never shut down, nor had the auto gen start come on to run the charger.
It takes a lot of LP to charge a battery via a generator that you used to watch TV, run medical equipment, microwave, and the demands that the 12v system requires of the battery when boondocking. Converting LP to rotary motion to generate 120v to run a progressive dynamics charger for a few DC volts is incredibly expensive and inefficient.
http://www.trojanbattery.com/pdf/TRJN0109_UsersGuide.pdf
Illustration 7 gives the state of charge for Trojan batteries.