The power supply would be the first place I would look – the red hot line and the car fuse line that you are connected to). The woofs draw alot of juice(possibly more than what that car wiring can carry)
So, just to test that theory out, disconnect from the car fuse line(radio or accessories)and run temporary jumper lead from your red line(leave the inline fuse in) out the door of the car and under the hood directly connected to the battery on the positive.
You might want to make sure that you have a good ground too (either black or brown). Just try it. If while driving, everything works, then the hot wire may have to run thru something else other than car radio fuse )….maybe headlights??