Check a battery capacity calc for me pls

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Kemosabe

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So I am very soon going to be buying a Home inverter and battery backup system. I did some calcs myself but they dont seem to agree with the info provided by those quoting me.

Wonder it you experts could check me.

The system I am looking at is a 3kw pure sinewave inverter using 48v supply, 200A/h battery pack.
I added up the average power consumption of all I plan to run and came to something in the region of 1200w.
I need to leave quite a bit of overhead for devices with high current draw on startup. I built inefficiency factors into the calcs (dont want to tell you what I used though). I worked on an average loadshedding period of 4-4.5 hours.
What I am intending to calculate is the depth of discharge of the battery pack which I want to keep in the 15% to 30% range for longevity.

Let me know what you come up with please. If you set out your calcs briefly here would love to get some comments and learn from you.  :dop:
 

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