You might have up to 1.5V drop with 12 AWG for 15 ft length compared to the potential at the battery. You won't see it when there is no load (open voltage), but start running your items then you might see the voltage drop.
I'm not sure what effect this will have on the inverter. My
guess is that any of the following can happen:
- Inverter thinks battery is dying and shuts off to protect battery
- Excessive pos. wire heating
- Inverter outputs lower voltage
- Inverter works less efficiently (same output but requires more input) so it heats up more
I strongly advise you use 8AWG instead and no more than 50A fuse for a 15 ft run. For 15ft 12AWG run, it should be fused at 20A.
See
http://bcae1.com/ section 16. Wire for lots more info.