What brand of converter? I'm guessing WFCO...
Our WFCO died in our 3rd season while on a long road trip - it tripped the breaker and wouldn't work anymore. It had not been functioning properly for some time as it killed a previous battery and we had thought it was just a bad battery. The 2nd battery wouldn't stay properly charged very long. WFCO converters have a reputation for not working correctly and short life.
Bestconverter.com is recommended by many RV-ers for converters. We bought a PDI drop-in replacement and switched to an AGM battery at the same time. (A WFCO isn't suitable for an AGM.) The PDI's are US-made and are well built.
BTW, you do know that smoking batteries is bad for your health? :)