My 40 litre Engel draws 2.5 amps when connected to a 12 volt source. The duty cycle, ie how long the compressor is running compared to how long it is resting depends on thermostat setting, outside temp, temp of contents and ventilation of the fridges condensor.
At full tilt on paper this equates to 22 hours of continuous use. ie. 55 AH divided by 2.5 Amps = 22 hours. In practice you don't totally discharge your battery and normal car batterys are not designed for this.
Generally speaking car batterys are designed to give a high current for a short period (starting) wheras what you need is a battery to give you a small amounts of current, comparatively, over a longer period. It also needs to be able to be discharged and then re-charged without damage. Car batterys don't fit this bill. Doing this to a car battery quickly kills it. What you need is a deep cycle battery as this is exactly the scenario they are designed for. If the wallet (and SWMBO) can stand it go for on Optima battery, the ones that look like a six pack as they are extremly robust and fully re-charge in a very short time.
Remember that some dual battery controllers let you draw a certain amount from the main battery, say 50% of capacity, to supplement your auxiluary battery before switching off. This can deceive you into thinking your auxiluary lasts longer than you think.
So the short answer to your question is - 55AH is too small without being suplemented by another source ie. solar panel.
Deano



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