The big orange wire runs to the fuse box where it runs to the power windows, the FAN fuse (heater fan) and to the heater controls. It's not your problem.
Buy a VOM and read the voltage on your battery WHEN THIS PROBLEM IS OCCURRING. Read the voltage on the power distribution posts when this problem is occuring.
When this problem is occurring do the headlights work? Do the brake lights work?
[This message has been edited by phonedawgz (edited 05-20-2014).]