You need a 1-3kW ac inverter and it will last 20 hrs at a 3kW flat load.
230Ah*6 = 1380 Wh/bat *24 = 33 kWh
or 33 kWh / 696 kg = 48 WWh/kGkg vs 127 WWh/kg for Powerwall
$110 * 24 = $2640 .../33kWh = $80/kWh DC only for your Lead Acid
vs $393/kWh for Powerwall2 which includes DC-DC and DC-AC
a 3kW inverter might be around $800 + extra features
- ** The inverter gives AC power out so you can use during AC power rates during the day.**
thus your cost /kWh increases ~40%
So yours appears cheaper but more bulky and thus longer more expensive cables and consumes more storage space and weight > 700 kg
- meanwhile nuclear product costs are around $0.03/ kWh and hydro power is the cheapest