I have a onboard onan 5500, and a 
3000 watt "FREEDOM SW INVERTER/CHARGER".  The 3kw I/C charges at (adjustable) up to 150 amps the 2kw at 100 amps.  I have the lcd control panel which allows me to program max input from the AC line, so when running off a smaller power source (then 30 amp) it will limit the loads and charger to not trip the braker / overload a small generator.  Temperature compensated charging etc..  I usually run the onan until the charger is under ~60 amps, then switch to a 2kw portable inverter/generator, the Costco one.  It is quiet, and far cheaper then Blue or Red, and uses less then 1/3 the fuel as the onan for low loads.