45W means that when the compressor is running its power consumption is 45 watts, in other words 3.75 amps at 12 volts, 1.875 amps at 24 volts or 0.1875 amps at 240 volts
I guess by 0.2kW/H24 they really mean 0.2 kWh per 24 hours typical energy consumption, but to be truly meaningful they should quote the average ambient temperature.
0.2 kWh { 200 Wh ) at 12 volts, works out at 16.7 Ah per 24 hours ( you do not say if you have a 12 or 24 volt system)
You do not state your battery capacity therefore cannot go any further but if you divide half of it by 16.7 your will get the time in days to run it down to 50% ( multiply by 24 to get the time in hours )
I hope that makes sense......... difficult at 4 am !
My Waeco 40l does not run all the time, and a well-charged 100Ahr 12v battery can last a day before the fridge cuts off because of low voltage. Doing that is not very kind to the battery...
It also helps if you can stock the fridge with frozen/chilled food at the start.
It all depends on ambient temperature of course as too how often it has to come on. I have the alpicool 20 and it's a decent bit of kit. It does have a low battery cut off setting like the more expensive dometic versions. Once down to temp it hardly comes on at all too be honest. With the occasional engine run plus solar panels the boats batteries didn't get stressed at all with a 3 day off grid trip a few weeks ago.