2005 R6 Rectifier-Regulator - 2004 Yamaha YZF-R6

it looks like high voltage charge like18volt, regulator goes all the way up (no control at all)

I HAVE YZF R6 2003, WHEN I START THE ENGINE AFTER ALMOST 5 MINUTE RECTIFIER REGULATOR OVER HEATING AND DAMAGE CONECTION

If the battery is good and able to hold a charge, then your problem is in the charging system. If the stator and wiring check out, then the regulator/rectifier is bad.

Not always necessary to change the regulator/rectifier. Check all connections to make sure they are clean, use a good contact cleaner and finish off with dielectric grease on your electrical connections.
When some bikes get a few years on them the connections get dirty. Check to see if there are any burned or discolored wires anywhere around the regulator. The FIX on some bikes is to cut the connector completely out and solder the wires together and either seal them with heat shrink of a good electrical tape. Loose or bad connections get hot. As long as the regulator and rectifier are working there is no need to replace them if the connections are good.
Ride Safely, Ed