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Hi my name is Robert....
When you are plugged into power the inverter will charge the batteries, if you lost the DC power then the batteries would drain down fairly quickly with everything running, so I would want to see the voltage at the batteries when this was happening. IF you had LOW voltage then the inverter may not have been charging, I would go to the inverter make sure you do not have a breaker tripped and then shut the inverter OFF and then back on.
IF you have good battery voltage and were missing the DC power then it could of been an issue with the disconnect solenoid. The solenoid allows power into the RV when the switch inside is pressed. Sometimes when you loose AC power suddenly the solenoid contacts can stick and when that happens you will get no DC power inside the RV, that is what could of happened on this. SO need to check the battery voltage, make sure the inverter is charging, if the battery voltage is good then go to the disconnect solenoid and check for power on the LARGE post, if you have voltage on one side and not the other get an insulated wire and jump the posts and see if the power comes on. IF you can not hear the solenoid click when you hit the switch then follow the house battery cables to the solenoid....... Hope this helps, IF you have more questions or concerns please feel free to contact me. Follow ups are included, please keep in mind I only get credit when you select a rating... Robert
Also so we are clear an inverter will charge the battery and allow you to have AC power when you are unplugged. A power converter will not allow you to have AC power unplugged but will also charge the battery. Most big class A units will have an inverter.