[bncinwv]

Based on personal experience, the fridge on propane (with the other phantom loads like the remote controller board if you have one, propane detector, etc.) would drain our battery overnight when the rig was not hooked up to shore power. I have added a second 12V battery to assist with this, and manage both batteries with a marine type isolator switch. The generator will charge the battery through the converter, and the truck typically provides a minimal trickle charge. What you are experiencing has been typical in all three of our rigs. It would assist the forum members knowing what model rig you have and you can further receive specific truck information by including this information in you profile signature accessible under profile on the menu at the top of each page.
Bingo