Took a minute to figure out what you were trying to do. You don't want to send low voltage DC very far as massive wire is required. If your inverter is located right next to your batteries, ground fault fusing (short circuit) isn't required, and your inverter should protect against over current (I would think). Proper wire / breaker sizing is actually pretty complicated and requires knowing how to use the NEC tables. It involves amps, wire type, distance, terminal connection temp ratings, ambient temperature, type of load (continuous v non-continuous) motor loads are another thing entirely. Then the are demand considerations such as what appliances will be used at the same time. While I would be happy to help with this, my recommendation would be to wire your invertor straight to a small residential panel with a main breaker right around the peak amps your invertor can supply. Then, use standard circuitry from there. 14awg wire for a 15A circuit with each receptacle presumed to be 1,800W (stick with around 10 or less). 12awg wire for a 20A circuit for something like a heater or small - medium AC unit. Getting into bigger stuff, 10awg for a 30A 2 phase appliance like a range or heater. Rule of thumb - your wire must be rated at 125% of your breaker rating. If your breakers are 90C rated, and you use THHN wire, you can use the 90C column in the NEC table - otherwise use the 75C column. Hope that helps.