I past my Sunday searching informations about DVI and EDID.
Great ! I found useful informations that explain why MP stop runtime when TV disconnected.
If you are interesting, just look here
TUTORIAL
I found an hardware workaround to solve both the init signal send bye the DVI connector and the way to fix the TV resolution.
Gefen DVI Detective - EXT-DVI-EDID
It seems that nobody is able to patch video drivers to disable EDID informations, expect for NVIDIA who add this kind of option to their official driver.
Intel... it's up to you !
Cheers all for your help.