Had this exact issue at the cabin last summer. Compressor fridges are great but they're sneaky power hogs — mine was pulling around 4-5A on average once you factor in the duty cycle, so overnight (say 10 hours) that's 40-50Ah gone before you've even thought about lighting or charging your phone.
With a 100Ah lithium you've only really got 80Ah usable if you're being sensible about it, so yeah, it's tight.
Few things that helped me:
- Pre-cool the fridge before the sun goes down while you've still got solar input
- Check the ambient temp — these compressors work much harder in a warm van
- Make sure the fridge has decent airflow around it, mine was tucked in a cupboard which was killing efficiency
- Fogstar do decent 100Ah cells if you're thinking of adding a second battery, the prices are reasonable
Honestly though, if you're running just the one 100Ah and you've got a decent solar setup, you might be fine in summer but winter's a different story. I ended up going to 200Ah and it made a massive difference — no more morning anxiety checking the battery levels.
What fridge are you running? Some of the cheaper compressor units are nowhere near as efficient as a Dometic or a Brass Monkey. That alone could be your problem.
What's your solar setup like too? Might be worth sharing the full picture so people can give proper advice.