I think its interesting that this wire has a 30 amp fuse in it but the other one has a 50 amp fuse. Seems like a mismatch but perhaps different purposes.
A fuse is designed to stop the system from drawing too much current, so changing it for a larger one is probably not a good idea! Replace it with an identical one, and hope it doesn't blow again, as that would indicate something else wrong in the charging circuit.