AC, Battery & Solar Distance Wire Sizing Calculations
AC Loads and Supply : Use the standard AWG wiring charts for your AC Load, found online e.g. https://www.powerstream.com/Wire_Size.htm (use the Max amps for power transmission column)
Battery:
Use the Battery cable suggestion in the manual, keep cables as short as possible, when in doubt, choose a thicker cable or double-up
Battery Max amps = rated Inverter output x 2 / battery Voltage, example 24V , 2.4kW rated output x 2 / 24V = 2400 x 2 / 24 = 200A
Solar Wiring :
This can be easy or tricky
I try to keep my cable losses to less than 3% but its all based on the $$$