UPS to run 350 watts for 3 hours
The VA rating is just how much power can the UPS give, peak power. You're interest in the battery capacity, measured in Ah
You can have a UPS rated for 1000-1500 VA which means it can supply 500-800 watts to devices briefly .... but if it has a single 12v 9Ah lead acid battery, it will discharge in less than 5 minutes.
Basically ... lead acid batteries will have a voltage between 11v and 13v - let's just use 12v for lots of margins - and let's say your computer consumes 180 watts.
The UPS will convert DC from batteries to AC with some efficiency, let's say 90% .. so 180 watts will be 90% of what's taken from battery .... this means battery will provide around 200 watts.
At 12v, that's 200 watts / 12v = ~16.5 Ah ... so you'll need approx. 16.5 Ah battery for every hour. For 3 hours, you'll need 3 x 16.5 = ~ 50 Ah
Of course, assuming batteries are full at around 13.5v and they can discharge down to 10.8v, and assuming conversion is done with more than 90% efficiency ... probably 12-15Ah would be enough for one hour, maybe even less.
The point is you need a UPS that has a bunch of lead acid batteries, not just one or two cheap 9-12 Ah batteries, it would not be enough.
I'd look into some refurbished / used datacenter UPS which has a compartment that can take 4-6 batteries and maybe has connector for external batteries, so you can add another set of 4-8 batteries.
Will probably be multiples of 2 or 4 batteries (bigger upses will run internally at 24v or 48v)
here's some examples that may have enough capacity for your needs -- but do your research :
And I agree with SupaKomputa ... you should think more at the 20-30 minutes range. if it takes more, you could start a cheap power generator on the balcony or outside in the garden (if you live in a house). A $200 gasoline/oil mix a-few-horse-power generator (as basic as those used on construction sites to power construction tools) can do a few hundred watts for a few hours.
You can have one of these good quality double conversion / on-line UPSes with lower capacity and if it takes more than 15-20 minutes, you can turn on the generator to top up the UPS and supply computer at same time (ups will filter the not-so-great ac power produced by generator)
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