What I don’t like about that formula is it does not take into account voltage loss or low battery voltage. For me, I like to use the inverter’s low voltage cutoff point, which is probably around 20 volts. The low voltage cutoff point, wattage rating and inverter efficiency are all off the inverter spec sheet.
24V for LiFePO₄ is about 9.5% SOC. My inverter is setup to shutdown at a higher SOC than that because my DC loads are far more important. 20.0V is 0% SOC. I see no reason to ever allow an inverter to run at full capacity long enough to let the battery become 100% drained.
My mention of a 200A fuse is based on a max inverter amps of 150A. For 176A I would suggest a 225A fuse as well. The 1AWG I suggested is meant to safely carry 150A with a voltage drop less than 3% up to 15' roundtrip. And it can safely be fused up to 250A. But this does assume high quality pure copper stranded wire with 105ºC rated insulation. For your 176A value I would suggest at least 1/0AWG of the same type of wire. Of course bigger wire is better if you will be at that max amperage often and bigger is definitely required if you get wire with a lower rated insulation.
That chart does not account for voltage drop. That's just the raw ampacity of the given wires.
I think all that is finely if you can limit yourself to that. Sounds for you it’s easy to do. For me it’s easy to do also until I leave the trailer for the day and others use it. As I’ve said in other posts, they believe in conservation until they have to do less, then I need to plan for those low voltage incidents.
There is voltage surge from the batteries from high loads that is in addition to wire losses. With lithium I noticed, it’s next to nothing.
As long as the wires to the inverter are only a few feet then voltage loss won't be a factor. If someone puts the inverter, let's say, 20' from the battery then it starts being an issue.
