Check the voltage output at your converter. If it is changing up and down and your battery is good then your converter may be going out. My brother's trailer had the same symptoms. I ended up calling the manufacturer of the converter and they said it was bad. Replaced the converter and all was good.
My brother did take the opportunity to upgrade the converter to one that included the smart charger features. If you have to get a new converter, make sure any you look at will fit the space and the wiring will match up with the existing wiring. My brother's converter was in a tight spot and I chose to have him order the same converter with the upgraded charging features so I wouldn't have to fight to try to adjust the wiring.
