Hence why I suggested that the system is started up and with house battery down at 75% the voltage from the power supply is increased until the required output current is achieved eg 40 amps for 2kW. If the load on the inverter is less than 2kW or Solar starts to generate, the battery voltage would start to rise and the current from the car would reduce. In my system, at 80% the current from the power supply drops to zero, at 75% I'm pushing 3 kW into the Inverter / Battery combination. LifeP04 as you know has a very flat charge / discharge curve so it happens very quickly.
Some allowance has to be made under the described no load conditions but thats not the real world. With the slightest load applied they work absolutely fine. My system runs on some DELL ex server power supplies and is absolutely fine, no reliability problems at all. A bigger concern is the quality of power from the MG, that does leave a little to be desired.
Not in my experience. Generators with the exception of Honda Inverter one have loads of distortion on their outputs. Using a generator to feed the power supply above would IMHO make it very suitable for charging the batteries. THD is pretty much irrelevant when it's being fed into a switched mode power supply, it's only converted to DC at the input.
Makes you wonder why all modern tech uses switch mode power supplies if theyre so bad? how does anything manage to work? Even the car charger is switch mode.